TSTP Solution File: SWW206+1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWW206+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n032.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 00:28:27 EDT 2022
% Result : Unknown 9.82s 10.05s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SWW206+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.11 % Command : iprover_modulo %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sat Jun 4 22:30:03 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Running in mono-core mode
% 0.15/0.56 % Orienting using strategy Equiv(ClausalAll)
% 0.15/0.56 % FOF problem with conjecture
% 0.15/0.56 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c6dc4c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_f4d2ce | grep -v "SZS"
% 0.15/0.59
% 0.15/0.59 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.15/0.59
% 0.15/0.59 %
% 0.15/0.59 % ------ iProver source info
% 0.15/0.59
% 0.15/0.59 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.15/0.59 % git: non_committed_changes: true
% 0.15/0.59 % git: last_make_outside_of_git: true
% 0.15/0.59
% 0.15/0.59 %
% 0.15/0.59 % ------ Input Options
% 0.15/0.59
% 0.15/0.59 % --out_options all
% 0.15/0.59 % --tptp_safe_out true
% 0.15/0.59 % --problem_path ""
% 0.15/0.59 % --include_path ""
% 0.15/0.59 % --clausifier .//eprover
% 0.15/0.59 % --clausifier_options --tstp-format
% 0.15/0.59 % --stdin false
% 0.15/0.59 % --dbg_backtrace false
% 0.15/0.59 % --dbg_dump_prop_clauses false
% 0.15/0.59 % --dbg_dump_prop_clauses_file -
% 0.15/0.59 % --dbg_out_stat false
% 0.15/0.59
% 0.15/0.59 % ------ General Options
% 0.15/0.59
% 0.15/0.59 % --fof false
% 0.15/0.59 % --time_out_real 150.
% 0.15/0.59 % --time_out_prep_mult 0.2
% 0.15/0.59 % --time_out_virtual -1.
% 0.15/0.59 % --schedule none
% 0.15/0.59 % --ground_splitting input
% 0.15/0.59 % --splitting_nvd 16
% 0.15/0.59 % --non_eq_to_eq false
% 0.15/0.59 % --prep_gs_sim true
% 0.15/0.59 % --prep_unflatten false
% 0.15/0.59 % --prep_res_sim true
% 0.15/0.59 % --prep_upred true
% 0.15/0.59 % --res_sim_input true
% 0.15/0.59 % --clause_weak_htbl true
% 0.15/0.59 % --gc_record_bc_elim false
% 0.15/0.59 % --symbol_type_check false
% 0.15/0.59 % --clausify_out false
% 0.15/0.59 % --large_theory_mode false
% 0.15/0.59 % --prep_sem_filter none
% 0.15/0.59 % --prep_sem_filter_out false
% 0.15/0.59 % --preprocessed_out false
% 0.15/0.59 % --sub_typing false
% 0.15/0.59 % --brand_transform false
% 0.15/0.59 % --pure_diseq_elim true
% 0.15/0.59 % --min_unsat_core false
% 0.15/0.59 % --pred_elim true
% 0.15/0.59 % --add_important_lit false
% 0.15/0.59 % --soft_assumptions false
% 0.15/0.59 % --reset_solvers false
% 0.15/0.59 % --bc_imp_inh []
% 0.15/0.59 % --conj_cone_tolerance 1.5
% 0.15/0.59 % --prolific_symb_bound 500
% 0.15/0.59 % --lt_threshold 2000
% 0.15/0.59
% 0.15/0.59 % ------ SAT Options
% 0.15/0.59
% 0.15/0.59 % --sat_mode false
% 0.15/0.59 % --sat_fm_restart_options ""
% 0.15/0.59 % --sat_gr_def false
% 0.15/0.59 % --sat_epr_types true
% 0.15/0.59 % --sat_non_cyclic_types false
% 0.15/0.59 % --sat_finite_models false
% 0.15/0.59 % --sat_fm_lemmas false
% 0.15/0.59 % --sat_fm_prep false
% 0.15/0.59 % --sat_fm_uc_incr true
% 0.15/0.59 % --sat_out_model small
% 0.15/0.59 % --sat_out_clauses false
% 0.15/0.59
% 0.15/0.59 % ------ QBF Options
% 0.15/0.59
% 0.15/0.59 % --qbf_mode false
% 0.15/0.59 % --qbf_elim_univ true
% 0.15/0.59 % --qbf_sk_in true
% 0.15/0.59 % --qbf_pred_elim true
% 0.15/0.59 % --qbf_split 32
% 0.15/0.59
% 0.15/0.59 % ------ BMC1 Options
% 0.15/0.59
% 0.15/0.59 % --bmc1_incremental false
% 0.15/0.59 % --bmc1_axioms reachable_all
% 0.15/0.59 % --bmc1_min_bound 0
% 0.15/0.59 % --bmc1_max_bound -1
% 0.15/0.59 % --bmc1_max_bound_default -1
% 0.15/0.59 % --bmc1_symbol_reachability true
% 0.15/0.59 % --bmc1_property_lemmas false
% 0.15/0.59 % --bmc1_k_induction false
% 0.15/0.59 % --bmc1_non_equiv_states false
% 0.15/0.59 % --bmc1_deadlock false
% 0.15/0.59 % --bmc1_ucm false
% 0.15/0.59 % --bmc1_add_unsat_core none
% 0.15/0.59 % --bmc1_unsat_core_children false
% 0.15/0.59 % --bmc1_unsat_core_extrapolate_axioms false
% 0.15/0.59 % --bmc1_out_stat full
% 0.15/0.59 % --bmc1_ground_init false
% 0.15/0.59 % --bmc1_pre_inst_next_state false
% 0.15/0.59 % --bmc1_pre_inst_state false
% 0.15/0.59 % --bmc1_pre_inst_reach_state false
% 0.15/0.59 % --bmc1_out_unsat_core false
% 0.15/0.59 % --bmc1_aig_witness_out false
% 0.15/0.59 % --bmc1_verbose false
% 0.15/0.59 % --bmc1_dump_clauses_tptp false
% 0.44/0.62 % --bmc1_dump_unsat_core_tptp false
% 0.44/0.62 % --bmc1_dump_file -
% 0.44/0.62 % --bmc1_ucm_expand_uc_limit 128
% 0.44/0.62 % --bmc1_ucm_n_expand_iterations 6
% 0.44/0.62 % --bmc1_ucm_extend_mode 1
% 0.44/0.62 % --bmc1_ucm_init_mode 2
% 0.44/0.62 % --bmc1_ucm_cone_mode none
% 0.44/0.62 % --bmc1_ucm_reduced_relation_type 0
% 0.44/0.62 % --bmc1_ucm_relax_model 4
% 0.44/0.62 % --bmc1_ucm_full_tr_after_sat true
% 0.44/0.62 % --bmc1_ucm_expand_neg_assumptions false
% 0.44/0.62 % --bmc1_ucm_layered_model none
% 0.44/0.62 % --bmc1_ucm_max_lemma_size 10
% 0.44/0.62
% 0.44/0.62 % ------ AIG Options
% 0.44/0.62
% 0.44/0.62 % --aig_mode false
% 0.44/0.62
% 0.44/0.62 % ------ Instantiation Options
% 0.44/0.62
% 0.44/0.62 % --instantiation_flag true
% 0.44/0.62 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.44/0.62 % --inst_solver_per_active 750
% 0.44/0.62 % --inst_solver_calls_frac 0.5
% 0.44/0.62 % --inst_passive_queue_type priority_queues
% 0.44/0.62 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.44/0.62 % --inst_passive_queues_freq [25;2]
% 0.44/0.62 % --inst_dismatching true
% 0.44/0.62 % --inst_eager_unprocessed_to_passive true
% 0.44/0.62 % --inst_prop_sim_given true
% 0.44/0.62 % --inst_prop_sim_new false
% 0.44/0.62 % --inst_orphan_elimination true
% 0.44/0.62 % --inst_learning_loop_flag true
% 0.44/0.62 % --inst_learning_start 3000
% 0.44/0.62 % --inst_learning_factor 2
% 0.44/0.62 % --inst_start_prop_sim_after_learn 3
% 0.44/0.62 % --inst_sel_renew solver
% 0.44/0.62 % --inst_lit_activity_flag true
% 0.44/0.62 % --inst_out_proof true
% 0.44/0.62
% 0.44/0.62 % ------ Resolution Options
% 0.44/0.62
% 0.44/0.62 % --resolution_flag true
% 0.44/0.62 % --res_lit_sel kbo_max
% 0.44/0.62 % --res_to_prop_solver none
% 0.44/0.62 % --res_prop_simpl_new false
% 0.44/0.62 % --res_prop_simpl_given false
% 0.44/0.62 % --res_passive_queue_type priority_queues
% 0.44/0.62 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.44/0.62 % --res_passive_queues_freq [15;5]
% 0.44/0.62 % --res_forward_subs full
% 0.44/0.62 % --res_backward_subs full
% 0.44/0.62 % --res_forward_subs_resolution true
% 0.44/0.62 % --res_backward_subs_resolution true
% 0.44/0.62 % --res_orphan_elimination false
% 0.44/0.62 % --res_time_limit 1000.
% 0.44/0.62 % --res_out_proof true
% 0.44/0.62 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c6dc4c.s
% 0.44/0.62 % --modulo true
% 0.44/0.62
% 0.44/0.62 % ------ Combination Options
% 0.44/0.62
% 0.44/0.62 % --comb_res_mult 1000
% 0.44/0.62 % --comb_inst_mult 300
% 0.44/0.62 % ------
% 0.44/0.62
% 0.44/0.62 % ------ Parsing...%
% 0.44/0.62
% 0.44/0.62
% 0.44/0.62 % ------ Statistics
% 0.44/0.62
% 0.44/0.62 % ------ General
% 0.44/0.62
% 0.44/0.62 % num_of_input_clauses: 858
% 0.44/0.62 % num_of_input_neg_conjectures: 0
% 0.44/0.62 % num_of_splits: 0
% 0.44/0.62 % num_of_split_atoms: 0
% 0.44/0.62 % num_of_sem_filtered_clauses: 0
% 0.44/0.62 % num_of_subtypes: 0
% 0.44/0.62 % monotx_restored_types: 0
% 0.44/0.62 % sat_num_of_epr_types: 0
% 0.44/0.62 % sat_num_of_non_cyclic_types: 0
% 0.44/0.62 % sat_guarded_non_collapsed_types: 0
% 0.44/0.62 % is_epr: 0
% 0.44/0.62 % is_horn: 0
% 0.44/0.62 % has_eq: 0
% 0.44/0.62 % num_pure_diseq_elim: 0
% 0.44/0.62 % simp_replaced_by: 0
% 0.44/0.62 % res_preprocessed: 0
% 0.44/0.62 % prep_upred: 0
% 0.44/0.62 % prep_unflattend: 0
% 0.44/0.62 % pred_elim_cands: 0
% 0.44/0.62 % pred_elim: 0
% 0.44/0.62 % pred_elim_cl: 0
% 0.44/0.62 % pred_elim_cycles: 0
% 0.44/0.62 % forced_gc_time: 0
% 0.44/0.62 % gc_basic_clause_elim: 0
% 0.44/0.62 % parsing_time: 0.
% 0.44/0.62 % sem_filter_time: 0.
% 0.44/0.62 % pred_elim_time: 0.
% 0.44/0.62 % out_proof_time: 0.
% 0.44/0.62 % monotx_time: 0.
% 0.44/0.62 % subtype_inf_time: 0.
% 0.44/0.62 % unif_index_cands_time: 0.
% 0.44/0.62 % Fatal error: exception Failure("Parse error in: /export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p line: 861 near token: '!='")
% 0.44/0.62 unif_index_add_time: 0.
% 0.44/0.62 % total_time: 0.048
% 0.44/0.62 % num_of_symbols: 168
% 0.44/0.62 % num_of_terms: 2472
% 0.44/0.62
% 0.44/0.62 % ------ Propositional Solver
% 0.44/0.62
% 0.44/0.62 % prop_solver_calls: 0
% 0.44/0.62 % prop_fast_solver_calls: 0
% 0.44/0.62 % prop_num_of_clauses: 0
% 0.44/0.62 % prop_preprocess_simplified: 0
% 0.44/0.62 % prop_fo_subsumed: 0
% 0.44/0.62 % prop_solver_time: 0.
% 0.44/0.62 % prop_fast_solver_time: 0.
% 0.44/0.62 % prop_unsat_core_time: 0.
% 0.44/0.62
% 0.44/0.62 % ------ QBF
% 0.44/0.62
% 0.44/0.62 % qbf_q_res: 0
% 0.44/0.62 % qbf_num_tautologies: 0
% 0.44/0.62 % qbf_prep_cycles: 0
% 0.44/0.62
% 0.44/0.62 % ------ BMC1
% 0.44/0.62
% 0.44/0.62 % bmc1_current_bound: -1
% 0.44/0.62 % bmc1_last_solved_bound: -1
% 0.44/0.62 % bmc1_unsat_core_size: -1
% 0.44/0.62 % bmc1_unsat_core_parents_size: -1
% 0.44/0.62 % bmc1_merge_next_fun: 0
% 0.44/0.62 % bmc1_unsat_core_clauses_time: 0.
% 0.44/0.62
% 0.44/0.62 % ------ Instantiation
% 0.44/0.62
% 0.44/0.62 % inst_num_of_clauses: undef
% 0.44/0.62 % inst_num_in_passive: undef
% 0.44/0.62 % inst_num_in_active: 0
% 0.44/0.62 % inst_num_in_unprocessed: 0
% 0.44/0.62 % inst_num_of_loops: 0
% 0.44/0.62 % inst_num_of_learning_restarts: 0
% 0.44/0.62 % inst_num_moves_active_passive: 0
% 0.44/0.62 % inst_lit_activity: 0
% 0.44/0.62 % inst_lit_activity_moves: 0
% 0.44/0.62 % inst_num_tautologies: 0
% 0.44/0.62 % inst_num_prop_implied: 0
% 0.44/0.62 % inst_num_existing_simplified: 0
% 0.44/0.62 % inst_num_eq_res_simplified: 0
% 0.44/0.62 % inst_num_child_elim: 0
% 0.44/0.62 % inst_num_of_dismatching_blockings: 0
% 0.44/0.62 % inst_num_of_non_proper_insts: 0
% 0.44/0.62 % inst_num_of_duplicates: 0
% 0.44/0.62 % inst_inst_num_from_inst_to_res: 0
% 0.44/0.62 % inst_dismatching_checking_time: 0.
% 0.44/0.62
% 0.44/0.62 % ------ Resolution
% 0.44/0.62
% 0.44/0.62 % res_num_of_clauses: undef
% 0.44/0.62 % res_num_in_passive: undef
% 0.44/0.62 % res_num_in_active: 0
% 0.44/0.62 % res_num_of_loops: 0
% 0.44/0.62 % res_forward_subset_subsumed: 0
% 0.44/0.62 % res_backward_subset_subsumed: 0
% 0.44/0.62 % res_forward_subsumed: 0
% 0.44/0.62 % res_backward_subsumed: 0
% 0.44/0.62 % res_forward_subsumption_resolution: 0
% 0.44/0.62 % res_backward_subsumption_resolution: 0
% 0.44/0.62 % res_clause_to_clause_subsumption: 0
% 0.44/0.62 % res_orphan_elimination: 0
% 0.44/0.62 % res_tautology_del: 0
% 0.44/0.62 % res_num_eq_res_simplified: 0
% 0.44/0.62 % res_num_sel_changes: 0
% 0.44/0.62 % res_moves_from_active_to_pass: 0
% 0.44/0.62
% 0.44/0.62 % Status Unknown
% 0.47/0.89 % Orienting using strategy ClausalAll
% 0.47/0.89 % FOF problem with conjecture
% 0.47/0.89 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c6dc4c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_8589f3 | grep -v "SZS"
% 0.75/0.90
% 0.75/0.90 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.75/0.90
% 0.75/0.90 %
% 0.75/0.90 % ------ iProver source info
% 0.75/0.90
% 0.75/0.90 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.75/0.90 % git: non_committed_changes: true
% 0.75/0.90 % git: last_make_outside_of_git: true
% 0.75/0.90
% 0.75/0.90 %
% 0.75/0.90 % ------ Input Options
% 0.75/0.90
% 0.75/0.90 % --out_options all
% 0.75/0.90 % --tptp_safe_out true
% 0.75/0.90 % --problem_path ""
% 0.75/0.90 % --include_path ""
% 0.75/0.90 % --clausifier .//eprover
% 0.75/0.90 % --clausifier_options --tstp-format
% 0.75/0.90 % --stdin false
% 0.75/0.90 % --dbg_backtrace false
% 0.75/0.90 % --dbg_dump_prop_clauses false
% 0.75/0.90 % --dbg_dump_prop_clauses_file -
% 0.75/0.90 % --dbg_out_stat false
% 0.75/0.90
% 0.75/0.90 % ------ General Options
% 0.75/0.90
% 0.75/0.90 % --fof false
% 0.75/0.90 % --time_out_real 150.
% 0.75/0.90 % --time_out_prep_mult 0.2
% 0.75/0.90 % --time_out_virtual -1.
% 0.75/0.90 % --schedule none
% 0.75/0.90 % --ground_splitting input
% 0.75/0.90 % --splitting_nvd 16
% 0.75/0.90 % --non_eq_to_eq false
% 0.75/0.90 % --prep_gs_sim true
% 0.75/0.90 % --prep_unflatten false
% 0.75/0.90 % --prep_res_sim true
% 0.75/0.90 % --prep_upred true
% 0.75/0.90 % --res_sim_input true
% 0.75/0.90 % --clause_weak_htbl true
% 0.75/0.90 % --gc_record_bc_elim false
% 0.75/0.90 % --symbol_type_check false
% 0.75/0.90 % --clausify_out false
% 0.75/0.90 % --large_theory_mode false
% 0.75/0.90 % --prep_sem_filter none
% 0.75/0.90 % --prep_sem_filter_out false
% 0.75/0.90 % --preprocessed_out false
% 0.75/0.90 % --sub_typing false
% 0.75/0.90 % --brand_transform false
% 0.75/0.90 % --pure_diseq_elim true
% 0.75/0.90 % --min_unsat_core false
% 0.75/0.90 % --pred_elim true
% 0.75/0.90 % --add_important_lit false
% 0.75/0.90 % --soft_assumptions false
% 0.75/0.90 % --reset_solvers false
% 0.75/0.90 % --bc_imp_inh []
% 0.75/0.90 % --conj_cone_tolerance 1.5
% 0.75/0.90 % --prolific_symb_bound 500
% 0.75/0.90 % --lt_threshold 2000
% 0.75/0.90
% 0.75/0.90 % ------ SAT Options
% 0.75/0.90
% 0.75/0.90 % --sat_mode false
% 0.75/0.90 % --sat_fm_restart_options ""
% 0.75/0.90 % --sat_gr_def false
% 0.75/0.90 % --sat_epr_types true
% 0.75/0.90 % --sat_non_cyclic_types false
% 0.75/0.90 % --sat_finite_models false
% 0.75/0.90 % --sat_fm_lemmas false
% 0.75/0.90 % --sat_fm_prep false
% 0.75/0.90 % --sat_fm_uc_incr true
% 0.75/0.90 % --sat_out_model small
% 0.75/0.90 % --sat_out_clauses false
% 0.75/0.90
% 0.75/0.90 % ------ QBF Options
% 0.75/0.90
% 0.75/0.90 % --qbf_mode false
% 0.75/0.90 % --qbf_elim_univ true
% 0.75/0.90 % --qbf_sk_in true
% 0.75/0.90 % --qbf_pred_elim true
% 0.75/0.90 % --qbf_split 32
% 0.75/0.90
% 0.75/0.90 % ------ BMC1 Options
% 0.75/0.90
% 0.75/0.90 % --bmc1_incremental false
% 0.75/0.90 % --bmc1_axioms reachable_all
% 0.75/0.90 % --bmc1_min_bound 0
% 0.75/0.90 % --bmc1_max_bound -1
% 0.75/0.90 % --bmc1_max_bound_default -1
% 0.75/0.90 % --bmc1_symbol_reachability true
% 0.75/0.90 % --bmc1_property_lemmas false
% 0.75/0.90 % --bmc1_k_induction false
% 0.75/0.90 % --bmc1_non_equiv_states false
% 0.75/0.90 % --bmc1_deadlock false
% 0.75/0.90 % --bmc1_ucm false
% 0.75/0.90 % --bmc1_add_unsat_core none
% 0.75/0.90 % --bmc1_unsat_core_children false
% 0.75/0.90 % --bmc1_unsat_core_extrapolate_axioms false
% 0.75/0.90 % --bmc1_out_stat full
% 0.75/0.90 % --bmc1_ground_init false
% 0.75/0.90 % --bmc1_pre_inst_next_state false
% 0.75/0.90 % --bmc1_pre_inst_state false
% 0.75/0.90 % --bmc1_pre_inst_reach_state false
% 0.75/0.90 % --bmc1_out_unsat_core false
% 0.75/0.90 % --bmc1_aig_witness_out false
% 0.75/0.90 % --bmc1_verbose false
% 0.75/0.90 % --bmc1_dump_clauses_tptp false
% 9.69/9.92 % --bmc1_dump_unsat_core_tptp false
% 9.69/9.92 % --bmc1_dump_file -
% 9.69/9.92 % --bmc1_ucm_expand_uc_limit 128
% 9.69/9.92 % --bmc1_ucm_n_expand_iterations 6
% 9.69/9.92 % --bmc1_ucm_extend_mode 1
% 9.69/9.92 % --bmc1_ucm_init_mode 2
% 9.69/9.92 % --bmc1_ucm_cone_mode none
% 9.69/9.92 % --bmc1_ucm_reduced_relation_type 0
% 9.69/9.92 % --bmc1_ucm_relax_model 4
% 9.69/9.92 % --bmc1_ucm_full_tr_after_sat true
% 9.69/9.92 % --bmc1_ucm_expand_neg_assumptions false
% 9.69/9.92 % --bmc1_ucm_layered_model none
% 9.69/9.92 % --bmc1_ucm_max_lemma_size 10
% 9.69/9.92
% 9.69/9.92 % ------ AIG Options
% 9.69/9.92
% 9.69/9.92 % --aig_mode false
% 9.69/9.92
% 9.69/9.92 % ------ Instantiation Options
% 9.69/9.92
% 9.69/9.92 % --instantiation_flag true
% 9.69/9.92 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 9.69/9.92 % --inst_solver_per_active 750
% 9.69/9.92 % --inst_solver_calls_frac 0.5
% 9.69/9.92 % --inst_passive_queue_type priority_queues
% 9.69/9.92 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 9.69/9.92 % --inst_passive_queues_freq [25;2]
% 9.69/9.92 % --inst_dismatching true
% 9.69/9.92 % --inst_eager_unprocessed_to_passive true
% 9.69/9.92 % --inst_prop_sim_given true
% 9.69/9.92 % --inst_prop_sim_new false
% 9.69/9.92 % --inst_orphan_elimination true
% 9.69/9.92 % --inst_learning_loop_flag true
% 9.69/9.92 % --inst_learning_start 3000
% 9.69/9.92 % --inst_learning_factor 2
% 9.69/9.92 % --inst_start_prop_sim_after_learn 3
% 9.69/9.92 % --inst_sel_renew solver
% 9.69/9.92 % --inst_lit_activity_flag true
% 9.69/9.92 % --inst_out_proof true
% 9.69/9.92
% 9.69/9.92 % ------ Resolution Options
% 9.69/9.92
% 9.69/9.92 % --resolution_flag true
% 9.69/9.92 % --res_lit_sel kbo_max
% 9.69/9.92 % --res_to_prop_solver none
% 9.69/9.92 % --res_prop_simpl_new false
% 9.69/9.92 % --res_prop_simpl_given false
% 9.69/9.92 % --res_passive_queue_type priority_queues
% 9.69/9.92 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 9.69/9.92 % --res_passive_queues_freq [15;5]
% 9.69/9.92 % --res_forward_subs full
% 9.69/9.92 % --res_backward_subs full
% 9.69/9.92 % --res_forward_subs_resolution true
% 9.69/9.92 % --res_backward_subs_resolution true
% 9.69/9.92 % --res_orphan_elimination false
% 9.69/9.92 % --res_time_limit 1000.
% 9.69/9.92 % --res_out_proof true
% 9.69/9.92 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c6dc4c.s
% 9.69/9.92 % --modulo true
% 9.69/9.92
% 9.69/9.92 % ------ Combination Options
% 9.69/9.92
% 9.69/9.92 % --comb_res_mult 1000
% 9.69/9.92 % --comb_inst_mult 300
% 9.69/9.92 % ------
% 9.69/9.92
% 9.69/9.92 % ------ Parsing...% successful
% 9.69/9.92
% 9.69/9.92 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 9.69/9.92
% 9.69/9.92 % ------ Proving...
% 9.69/9.92 % ------ Problem Properties
% 9.69/9.92
% 9.69/9.92 %
% 9.69/9.92 % EPR false
% 9.69/9.92 % Horn false
% 9.69/9.92 % Has equality true
% 9.69/9.92
% 9.69/9.92 % % ------ Input Options Time Limit: Unbounded
% 9.69/9.92
% 9.69/9.92
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 Compiling...
% 9.69/9.92 Loading plugin: done.
% 9.69/9.92 % % ------ Current options:
% 9.69/9.92
% 9.69/9.92 % ------ Input Options
% 9.69/9.92
% 9.69/9.92 % --out_options all
% 9.69/9.92 % --tptp_safe_out true
% 9.69/9.92 % --problem_path ""
% 9.69/9.92 % --include_path ""
% 9.69/9.92 % --clausifier .//eprover
% 9.69/9.92 % --clausifier_options --tstp-format
% 9.69/9.92 % --stdin false
% 9.69/9.92 % --dbg_backtrace false
% 9.69/9.92 % --dbg_dump_prop_clauses false
% 9.69/9.92 % --dbg_dump_prop_clauses_file -
% 9.69/9.92 % --dbg_out_stat false
% 9.69/9.92
% 9.69/9.92 % ------ General Options
% 9.69/9.92
% 9.69/9.92 % --fof false
% 9.69/9.92 % --time_out_real 150.
% 9.69/9.92 % --time_out_prep_mult 0.2
% 9.69/9.92 % --time_out_virtual -1.
% 9.69/9.92 % --schedule none
% 9.69/9.92 % --ground_splitting input
% 9.69/9.92 % --splitting_nvd 16
% 9.69/9.92 % --non_eq_to_eq false
% 9.69/9.92 % --prep_gs_sim true
% 9.69/9.92 % --prep_unflatten false
% 9.69/9.92 % --prep_res_sim true
% 9.69/9.92 % --prep_upred true
% 9.69/9.92 % --res_sim_input true
% 9.69/9.92 % --clause_weak_htbl true
% 9.69/9.92 % --gc_record_bc_elim false
% 9.69/9.92 % --symbol_type_check false
% 9.69/9.92 % --clausify_out false
% 9.69/9.92 % --large_theory_mode false
% 9.69/9.92 % --prep_sem_filter none
% 9.69/9.92 % --prep_sem_filter_out false
% 9.69/9.92 % --preprocessed_out false
% 9.69/9.92 % --sub_typing false
% 9.69/9.92 % --brand_transform false
% 9.69/9.92 % --pure_diseq_elim true
% 9.69/9.92 % --min_unsat_core false
% 9.69/9.92 % --pred_elim true
% 9.69/9.92 % --add_important_lit false
% 9.69/9.92 % --soft_assumptions false
% 9.69/9.92 % --reset_solvers false
% 9.69/9.92 % --bc_imp_inh []
% 9.69/9.92 % --conj_cone_tolerance 1.5
% 9.69/9.92 % --prolific_symb_bound 500
% 9.69/9.92 % --lt_threshold 2000
% 9.69/9.92
% 9.69/9.92 % ------ SAT Options
% 9.69/9.92
% 9.69/9.92 % --sat_mode false
% 9.69/9.92 % --sat_fm_restart_options ""
% 9.69/9.92 % --sat_gr_def false
% 9.69/9.92 % --sat_epr_types true
% 9.69/9.92 % --sat_non_cyclic_types false
% 9.69/9.92 % --sat_finite_models false
% 9.69/9.92 % --sat_fm_lemmas false
% 9.69/9.92 % --sat_fm_prep false
% 9.69/9.92 % --sat_fm_uc_incr true
% 9.69/9.92 % --sat_out_model small
% 9.69/9.92 % --sat_out_clauses false
% 9.69/9.92
% 9.69/9.92 % ------ QBF Options
% 9.69/9.92
% 9.69/9.92 % --qbf_mode false
% 9.69/9.92 % --qbf_elim_univ true
% 9.69/9.92 % --qbf_sk_in true
% 9.69/9.92 % --qbf_pred_elim true
% 9.69/9.92 % --qbf_split 32
% 9.69/9.92
% 9.69/9.92 % ------ BMC1 Options
% 9.69/9.92
% 9.69/9.92 % --bmc1_incremental false
% 9.69/9.92 % --bmc1_axioms reachable_all
% 9.69/9.92 % --bmc1_min_bound 0
% 9.69/9.92 % --bmc1_max_bound -1
% 9.69/9.92 % --bmc1_max_bound_default -1
% 9.69/9.92 % --bmc1_symbol_reachability true
% 9.69/9.92 % --bmc1_property_lemmas false
% 9.69/9.92 % --bmc1_k_induction false
% 9.69/9.92 % --bmc1_non_equiv_states false
% 9.69/9.92 % --bmc1_deadlock false
% 9.69/9.92 % --bmc1_ucm false
% 9.69/9.92 % --bmc1_add_unsat_core none
% 9.69/9.92 % --bmc1_unsat_core_children false
% 9.69/9.92 % --bmc1_unsat_core_extrapolate_axioms false
% 9.69/9.92 % --bmc1_out_stat full
% 9.69/9.92 % --bmc1_ground_init false
% 9.69/9.92 % --bmc1_pre_inst_next_state false
% 9.69/9.92 % --bmc1_pre_inst_state false
% 9.69/9.92 % --bmc1_pre_inst_reach_state false
% 9.69/9.92 % --bmc1_out_unsat_core false
% 9.69/9.92 % --bmc1_aig_witness_out false
% 9.69/9.92 % --bmc1_verbose false
% 9.69/9.92 % --bmc1_dump_clauses_tptp false
% 9.69/9.92 % --bmc1_dump_unsat_core_tptp false
% 9.69/9.92 % --bmc1_dump_file -
% 9.69/9.92 % --bmc1_ucm_expand_uc_limit 128
% 9.69/9.92 % --bmc1_ucm_n_expand_iterations 6
% 9.69/9.92 % --bmc1_ucm_extend_mode 1
% 9.69/9.92 % --bmc1_ucm_init_mode 2
% 9.69/9.92 % --bmc1_ucm_cone_mode none
% 9.69/9.92 % --bmc1_ucm_reduced_relation_type 0
% 9.69/9.92 % --bmc1_ucm_relax_model 4
% 9.69/9.92 % --bmc1_ucm_full_tr_after_sat true
% 9.69/9.92 % --bmc1_ucm_expand_neg_assumptions false
% 9.69/9.92 % --bmc1_ucm_layered_model none
% 9.69/9.92 % --bmc1_ucm_max_lemma_size 10
% 9.69/9.92
% 9.69/9.92 % ------ AIG Options
% 9.69/9.92
% 9.69/9.92 % --aig_mode false
% 9.69/9.92
% 9.69/9.92 % ------ Instantiation Options
% 9.69/9.92
% 9.69/9.92 % --instantiation_flag true
% 9.69/9.92 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 9.69/9.92 % --inst_solver_per_active 750
% 9.69/9.92 % --inst_solver_calls_frac 0.5
% 9.69/9.92 % --inst_passive_queue_type priority_queues
% 9.69/9.92 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 9.69/9.92 % --inst_passive_queues_freq [25;2]
% 9.69/9.92 % --inst_dismatching true
% 9.69/9.92 % --inst_eager_unprocessed_to_passive true
% 9.69/9.92 % --inst_prop_sim_given true
% 9.69/9.92 % --inst_prop_sim_new false
% 9.69/9.92 % --inst_orphan_elimination true
% 9.69/9.92 % --inst_learning_loop_flag true
% 9.69/9.92 % --inst_learning_start 3000
% 9.69/9.92 % --inst_learning_factor 2
% 9.69/9.92 % --inst_start_prop_sim_after_learn 3
% 9.69/9.92 % --inst_sel_renew solver
% 9.69/9.92 % --inst_lit_activity_flag true
% 9.69/9.92 % --inst_out_proof true
% 9.69/9.92
% 9.69/9.92 % ------ Resolution Options
% 9.69/9.92
% 9.69/9.92 % --resolution_flag true
% 9.69/9.92 % --res_lit_sel kbo_max
% 9.69/9.92 % --res_to_prop_solver none
% 9.69/9.92 % --res_prop_simpl_new false
% 9.69/9.92 % --res_prop_simpl_given false
% 9.69/9.92 % --res_passive_queue_type priority_queues
% 9.69/9.92 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 9.69/9.92 % --res_passive_queues_freq [15;5]
% 9.69/9.92 % --res_forward_subs full
% 9.69/9.92 % --res_backward_subs full
% 9.69/9.92 % --res_forward_subs_resolution true
% 9.69/9.92 % --res_backward_subs_resolution true
% 9.69/9.92 % --res_orphan_elimination false
% 9.69/9.92 % --res_time_limit 1000.
% 9.69/9.92 % --res_out_proof true
% 9.69/9.92 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c6dc4c.s
% 9.69/9.92 % --modulo true
% 9.69/9.92
% 9.69/9.92 % ------ Combination Options
% 9.69/9.92
% 9.69/9.92 % --comb_res_mult 1000
% 9.69/9.92 % --comb_inst_mult 300
% 9.69/9.92 % ------
% 9.69/9.92
% 9.69/9.92
% 9.69/9.92
% 9.69/9.92 % ------ Proving...
% 9.69/9.92 % warning: shown sat in sat incomplete mode
% 9.69/9.92 %
% 9.69/9.92
% 9.69/9.92
% 9.69/9.92
% 9.69/9.92
% 9.69/9.92 cnf(c_3900,plain,
% 9.69/9.92 ( c_SEQ_OBseq(X0,X1)
% 9.69/9.92 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(X1,sk1_esk28_4(X1,X0,X2,X3))),hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(X1,X3))))),X2))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
% 9.69/9.92 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5478_3) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16559,plain,
% 9.69/9.92 ( c_SEQ_OBseq(X0,X1)
% 9.69/9.92 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(X1,sk1_esk28_4(X1,X0,X2,X3))),hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(X1,X3))))),X2))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
% 9.69/9.92 inference(copy,[status(esa)],[c_3900]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16560,plain,
% 9.69/9.92 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(X1,sk1_esk28_4(X1,X0,X2,X3))),hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(X1,X3))))),X2))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.69/9.92 | c_SEQ_OBseq(X0,X1) ),
% 9.69/9.92 inference(rewriting,[status(thm)],[c_16559]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_3896,plain,
% 9.69/9.92 ( c_SEQ_OBseq(X0,X1)
% 9.69/9.92 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(X1,sk1_esk31_4(X1,X0,X2,X3))),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X3)))),X2))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
% 9.69/9.92 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5479_3) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16551,plain,
% 9.69/9.92 ( c_SEQ_OBseq(X0,X1)
% 9.69/9.92 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(X1,sk1_esk31_4(X1,X0,X2,X3))),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X3)))),X2))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
% 9.69/9.92 inference(copy,[status(esa)],[c_3896]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16552,plain,
% 9.69/9.92 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(X1,sk1_esk31_4(X1,X0,X2,X3))),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X3)))),X2))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.69/9.92 | c_SEQ_OBseq(X0,X1) ),
% 9.69/9.92 inference(rewriting,[status(thm)],[c_16551]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_3892,plain,
% 9.69/9.92 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk64_3(X0,X1,X2)),X2))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk63_3(X0,X1,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X1,sk1_esk63_3(X0,X1,X2))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2))) ),
% 9.69/9.92 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5480_3) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16543,plain,
% 9.69/9.92 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk64_3(X0,X1,X2)),X2))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk63_3(X0,X1,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X1,sk1_esk63_3(X0,X1,X2))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2))) ),
% 9.69/9.92 inference(copy,[status(esa)],[c_3892]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16544,plain,
% 9.69/9.92 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk64_3(X0,X1,X2)),X2))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk63_3(X0,X1,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X1,sk1_esk63_3(X0,X1,X2))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2))) ),
% 9.69/9.92 inference(rewriting,[status(thm)],[c_16543]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_3888,plain,
% 9.69/9.92 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk62_3(X0,X1,X2)),X2))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk61_3(X0,X1,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X1,sk1_esk61_3(X0,X1,X2))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2))) ),
% 9.69/9.92 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5481_3) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16535,plain,
% 9.69/9.92 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk62_3(X0,X1,X2)),X2))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk61_3(X0,X1,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X1,sk1_esk61_3(X0,X1,X2))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2))) ),
% 9.69/9.92 inference(copy,[status(esa)],[c_3888]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16536,plain,
% 9.69/9.92 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk62_3(X0,X1,X2)),X2))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk61_3(X0,X1,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X1,sk1_esk61_3(X0,X1,X2))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2))) ),
% 9.69/9.92 inference(rewriting,[status(thm)],[c_16535]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_3884,plain,
% 9.69/9.92 ( hAPP(X0,sk1_esk64_3(X1,X0,X2)) = X1
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk63_3(X1,X0,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X0,sk1_esk63_3(X1,X0,X2))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(X0,X2))) ),
% 9.69/9.92 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5482_3) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16527,plain,
% 9.69/9.92 ( hAPP(X0,sk1_esk64_3(X1,X0,X2)) = X1
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk63_3(X1,X0,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X0,sk1_esk63_3(X1,X0,X2))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(X0,X2))) ),
% 9.69/9.92 inference(copy,[status(esa)],[c_3884]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16528,plain,
% 9.69/9.92 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk63_3(X1,X0,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X0,sk1_esk63_3(X1,X0,X2))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(X0,X2)))
% 9.69/9.92 | hAPP(X0,sk1_esk64_3(X1,X0,X2)) = X1 ),
% 9.69/9.92 inference(rewriting,[status(thm)],[c_16527]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_3880,plain,
% 9.69/9.92 ( hAPP(X0,sk1_esk62_3(X1,X0,X2)) = X1
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk61_3(X1,X0,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X0,sk1_esk61_3(X1,X0,X2))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(X0,X2))) ),
% 9.69/9.92 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5483_3) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16519,plain,
% 9.69/9.92 ( hAPP(X0,sk1_esk62_3(X1,X0,X2)) = X1
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk61_3(X1,X0,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X0,sk1_esk61_3(X1,X0,X2))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(X0,X2))) ),
% 9.69/9.92 inference(copy,[status(esa)],[c_3880]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16520,plain,
% 9.69/9.92 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk61_3(X1,X0,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X0,sk1_esk61_3(X1,X0,X2))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(X0,X2)))
% 9.69/9.92 | hAPP(X0,sk1_esk62_3(X1,X0,X2)) = X1 ),
% 9.69/9.92 inference(rewriting,[status(thm)],[c_16519]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_3873,plain,
% 9.69/9.92 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3)))))
% 9.69/9.92 | ~ class_Orderings_Oord(X4)
% 9.69/9.92 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4,X3),X2))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X3),hAPP(X1,sk1_esk51_4(X1,X3,X4,X0))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 9.69/9.92 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5485_4) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16505,plain,
% 9.69/9.92 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3)))))
% 9.69/9.92 | ~ class_Orderings_Oord(X4)
% 9.69/9.92 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4,X3),X2))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X3),hAPP(X1,sk1_esk51_4(X1,X3,X4,X0))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 9.69/9.92 inference(copy,[status(esa)],[c_3873]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16506,plain,
% 9.69/9.92 ( ~ class_Orderings_Oord(X0)
% 9.69/9.92 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.69/9.92 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X4,X3))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X1,hAPP(X4,X2)))))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,hAPP(X4,X2),hAPP(X4,sk1_esk51_4(X4,X2,X0,X1))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 9.69/9.92 inference(rewriting,[status(thm)],[c_16505]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_3870,plain,
% 9.69/9.92 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 9.69/9.92 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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)) ),
% 9.69/9.92 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5486_2) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16499,plain,
% 9.69/9.92 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 9.69/9.92 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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)) ),
% 9.69/9.92 inference(copy,[status(esa)],[c_3870]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16500,plain,
% 9.69/9.92 ( ~ class_Rings_Oordered__ring(X0)
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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))
% 9.69/9.92 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X5))) ),
% 9.69/9.92 inference(rewriting,[status(thm)],[c_16499]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_3867,plain,
% 9.69/9.92 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 9.69/9.92 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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)) ),
% 9.69/9.92 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5487_2) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16493,plain,
% 9.69/9.92 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 9.69/9.92 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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)) ),
% 9.69/9.92 inference(copy,[status(esa)],[c_3867]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16494,plain,
% 9.69/9.92 ( ~ class_Rings_Oordered__ring(X0)
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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))
% 9.69/9.92 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X5))) ),
% 9.69/9.92 inference(rewriting,[status(thm)],[c_16493]) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_3862,plain,
% 9.69/9.92 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1)),X2)),X4)) ),
% 9.69/9.92 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5492_2) ).
% 9.69/9.92
% 9.69/9.92 cnf(c_16483,plain,
% 9.69/9.92 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0))
% 9.69/9.92 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1)),X2)),X4)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3862]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16484,plain,
% 9.69/9.93 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2)),X3)),X4))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X4))) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16483]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3856,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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))
% 9.69/9.93 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X5))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5494_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16471,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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))
% 9.69/9.93 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X5))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3856]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16472,plain,
% 9.69/9.93 ( ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X5))) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16471]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3853,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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))
% 9.69/9.93 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X5))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5495_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16465,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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))
% 9.69/9.93 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X5))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3853]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16466,plain,
% 9.69/9.93 ( ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X5))) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16465]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3850,plain,
% 9.69/9.93 ( c_SEQ_OCauchy(X0,X1)
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,sk1_esk45_3(X1,X0,X2)),hAPP(X1,sk1_esk46_3(X1,X0,X2))))),sk1_esk44_2(X1,X0))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5496_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16459,plain,
% 9.69/9.93 ( c_SEQ_OCauchy(X0,X1)
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,sk1_esk45_3(X1,X0,X2)),hAPP(X1,sk1_esk46_3(X1,X0,X2))))),sk1_esk44_2(X1,X0))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3850]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16460,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,sk1_esk45_3(X1,X0,X2)),hAPP(X1,sk1_esk46_3(X1,X0,X2))))),sk1_esk44_2(X1,X0)))
% 9.69/9.93 | c_SEQ_OCauchy(X0,X1) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16459]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3847,plain,
% 9.69/9.93 ( c_SEQ_OBseq(X0,X1)
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk18_4(X2,X1,X3,X0)))),X2)) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5497_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16453,plain,
% 9.69/9.93 ( c_SEQ_OBseq(X0,X1)
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk18_4(X2,X1,X3,X0)))),X2)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3847]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16454,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk18_4(X2,X1,X3,X0)))),X2))
% 9.69/9.93 | c_SEQ_OBseq(X0,X1) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16453]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3844,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2)),X3)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X4))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5498_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16447,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2)),X3)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X4))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3844]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16448,plain,
% 9.69/9.93 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2)),X3)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X4))) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16447]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3841,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2)),X3)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X4))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5499_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16441,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2)),X3)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X4))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3841]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16442,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2)),X3)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X4)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16441]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3835,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 9.69/9.93 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2)),X5))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5502_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16429,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 9.69/9.93 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2)),X5))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3835]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16430,plain,
% 9.69/9.93 ( ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2)),X5))) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16429]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3832,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 9.69/9.93 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2)),X5))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5503_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16423,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 9.69/9.93 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2)),X5))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3832]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16424,plain,
% 9.69/9.93 ( ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2)),X5))) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16423]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3829,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3))
% 9.69/9.93 | ~ class_Orderings_Oord(X1)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,sk1_esk9_4(X3,X2,X0,X1))),hAPP(X3,sk1_esk9_4(X3,X2,X0,X1)))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5504_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16417,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3))
% 9.69/9.93 | ~ class_Orderings_Oord(X1)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,sk1_esk9_4(X3,X2,X0,X1))),hAPP(X3,sk1_esk9_4(X3,X2,X0,X1)))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3829]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16418,plain,
% 9.69/9.93 ( ~ class_Orderings_Oord(X0)
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X2,sk1_esk9_4(X3,X2,X1,X0))),hAPP(X3,sk1_esk9_4(X3,X2,X1,X0)))) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16417]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3826,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1)),X4))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5505_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16411,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1)),X4))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3826]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16412,plain,
% 9.69/9.93 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X4)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2)),X4))) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16411]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3823,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1)),X4))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5506_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16405,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1)),X4))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3823]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16406,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1)),X4)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3)) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16405]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3820,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X2,X3)),X4)),X5)))
% 9.69/9.93 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)),X5))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5507_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16399,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X2,X3)),X4)),X5)))
% 9.69/9.93 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)),X5))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3820]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16400,plain,
% 9.69/9.93 ( ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2)),X5))) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16399]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3817,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X2,X3)),X4)),X5)))
% 9.69/9.93 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)),X5))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5508_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16393,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X2,X3)),X4)),X5)))
% 9.69/9.93 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)),X5))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3817]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16394,plain,
% 9.69/9.93 ( ~ class_Rings_Oordered__ring(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2)),X5))) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16393]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3812,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3)),X4)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5510_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16383,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3)),X4)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3812]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16384,plain,
% 9.69/9.93 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X4)))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2)),X4))) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16383]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3806,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(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_esk23_2(X1,X0)),X1))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.69/9.93 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.69/9.93 | X0 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5512_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16371,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(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_esk23_2(X1,X0)),X1))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.69/9.93 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.69/9.93 | X0 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3806]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16372,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(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_esk23_2(X1,X0)),X1))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.69/9.93 | X0 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 9.69/9.93 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16371]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3804,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.69/9.93 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.69/9.93 | c_SEQ_Oconvergent(X0,c_COMBS(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.69/9.93 | ~ c_SEQ_Oconvergent(X0,X2) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5513_1) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16367,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.69/9.93 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.69/9.93 | c_SEQ_Oconvergent(X0,c_COMBS(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.69/9.93 | ~ c_SEQ_Oconvergent(X0,X2) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3804]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16368,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.69/9.93 | c_SEQ_Oconvergent(X0,c_COMBS(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.69/9.93 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.69/9.93 | ~ c_SEQ_Oconvergent(X0,X2) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16367]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3800,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.69/9.93 | c_SEQ_Oconvergent(X0,c_COMBS(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 9.69/9.93 | ~ c_SEQ_Oconvergent(X0,X2) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5514_1) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16359,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.69/9.93 | c_SEQ_Oconvergent(X0,c_COMBS(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 9.69/9.93 | ~ c_SEQ_Oconvergent(X0,X2) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3800]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16360,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | c_SEQ_Oconvergent(X0,c_COMBS(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 9.69/9.93 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.69/9.93 | ~ c_SEQ_Oconvergent(X0,X2) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16359]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3782,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(X1,X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(X1,sk1_esk27_2(X1,X0)))))),sk1_esk26_2(X1,X0)))
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5525_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16323,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(X1,X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(X1,sk1_esk27_2(X1,X0)))))),sk1_esk26_2(X1,X0)))
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3782]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16324,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(X1,X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(X1,sk1_esk27_2(X1,X0)))))),sk1_esk26_2(X1,X0)))
% 9.69/9.93 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16323]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3778,plain,
% 9.69/9.93 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3)),X4)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X0))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4),X0)) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5527_1) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16315,plain,
% 9.69/9.93 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3)),X4)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X0))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4),X0)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3778]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16316,plain,
% 9.69/9.93 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3)),X4)))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4),X1)) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16315]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3775,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X0)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1)),X2))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5527_4) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16309,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X0)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1)),X2))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3775]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16310,plain,
% 9.69/9.93 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3)),X4)))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1)) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16309]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3773,plain,
% 9.69/9.93 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3)),X4)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X4))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X2)) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5528_1) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16305,plain,
% 9.69/9.93 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3)),X4)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X4))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X2)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3773]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16306,plain,
% 9.69/9.93 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3)),X4)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X2)) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16305]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3767,plain,
% 9.69/9.93 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.93 | ~ class_Rings_Olinordered__ring__strict(X1)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5529_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16293,plain,
% 9.69/9.93 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.93 | ~ class_Rings_Olinordered__ring__strict(X1)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3767]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16294,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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)))
% 9.69/9.93 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16293]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3764,plain,
% 9.69/9.93 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.93 | ~ class_Rings_Olinordered__ring__strict(X1)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5530_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16287,plain,
% 9.69/9.93 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.93 | ~ class_Rings_Olinordered__ring__strict(X1)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3764]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16288,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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)))
% 9.69/9.93 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16287]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3759,plain,
% 9.69/9.93 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4)),X5)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(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)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X0))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X0))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),X1)) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5533_0) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16277,plain,
% 9.69/9.93 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4)),X5)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(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)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X0))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X0))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),X1)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3759]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16278,plain,
% 9.69/9.93 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(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)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5),X2))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X4)),X5) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3)),X0) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16277]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3753,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(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)))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1)),X5) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)),X4) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5533_6) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16265,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(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)))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1)),X5) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)),X4) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3753]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16266,plain,
% 9.69/9.93 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(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)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5),X4))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X2)),X5) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1)),X0) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16265]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3749,plain,
% 9.69/9.93 ( hBOOL(hAPP(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_esk72_2(X1,X0)))))
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk71_3(X1,X0,X3)))),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3)) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5534_3) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16257,plain,
% 9.69/9.93 ( hBOOL(hAPP(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_esk72_2(X1,X0)))))
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk71_3(X1,X0,X3)))),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3749]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16258,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk71_3(X1,X0,X2)))),X2))
% 9.69/9.93 | hBOOL(hAPP(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_esk72_2(X1,X0)))))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16257]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3745,plain,
% 9.69/9.93 ( hBOOL(hAPP(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_esk68_2(X1,X0)))))
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk67_3(X1,X0,X3)))),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3)) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5535_3) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16249,plain,
% 9.69/9.93 ( hBOOL(hAPP(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_esk68_2(X1,X0)))))
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk67_3(X1,X0,X3)))),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3745]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16250,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk67_3(X1,X0,X2)))),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.69/9.93 | hBOOL(hAPP(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_esk68_2(X1,X0))))) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16249]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3740,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Complex_Oii))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X0),c_Complex_Oii))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X0),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.69/9.93 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5536_4) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16239,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Complex_Oii))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X0),c_Complex_Oii))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X0),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.69/9.93 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3740]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16240,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X0),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X0),c_Complex_Oii))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Complex_Oii))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.69/9.93 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16239]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3733,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk74_2(X1,X0)))
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk73_3(X1,X0,X3)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3)))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5539_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16225,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk74_2(X1,X0)))
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk73_3(X1,X0,X3)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3)))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3733]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16226,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk73_3(X1,X0,X2)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2))))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3))),sk1_esk74_2(X1,X0))) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16225]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3730,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk70_2(X1,X0)))
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk69_3(X1,X0,X3)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3)))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5540_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16219,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk70_2(X1,X0)))
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk69_3(X1,X0,X3)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3)))) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3730]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16220,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk70_2(X1,X0)))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk69_3(X1,X0,X3)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3)))) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16219]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3727,plain,
% 9.69/9.93 ( c_SEQ_Odecseq(X0,X1)
% 9.69/9.93 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.93 | ~ c_SEQ_Oincseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5541_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16213,plain,
% 9.69/9.93 ( c_SEQ_Odecseq(X0,X1)
% 9.69/9.93 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.93 | ~ c_SEQ_Oincseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3727]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16214,plain,
% 9.69/9.93 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.93 | c_SEQ_Odecseq(X0,X1)
% 9.69/9.93 | ~ c_SEQ_Oincseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16213]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3724,plain,
% 9.69/9.93 ( c_SEQ_Oconvergent(X0,X1)
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5542_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16207,plain,
% 9.69/9.93 ( c_SEQ_Oconvergent(X0,X1)
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3724]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16208,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 9.69/9.93 | c_SEQ_Oconvergent(X0,X1) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16207]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3721,plain,
% 9.69/9.93 ( c_SEQ_OBseq(X0,X1)
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ c_SEQ_OBseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5543_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16201,plain,
% 9.69/9.93 ( c_SEQ_OBseq(X0,X1)
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ c_SEQ_OBseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3721]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16202,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ c_SEQ_OBseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 9.69/9.93 | c_SEQ_OBseq(X0,X1) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16201]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3718,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X4),X5) != c_Groups_Oone__class_Oone(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X5)) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5544_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16195,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X4),X5) != c_Groups_Oone__class_Oone(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X5)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3718]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16196,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X5))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X4),X5))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Oone__class_Oone(X0) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16195]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3716,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4) != c_Groups_Oone__class_Oone(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X5),X2)) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5544_4) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16191,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4) != c_Groups_Oone__class_Oone(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X5),X2)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3716]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16192,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X5))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X4),X5))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) != c_Groups_Oone__class_Oone(X0) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16191]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3714,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3) != c_Groups_Oone__class_Oone(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X4),X5))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X5))
% 9.69/9.93 | ~ class_Rings_Olinordered__semiring__1(X0) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5544_6) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16187,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3) != c_Groups_Oone__class_Oone(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X4),X5))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X5))
% 9.69/9.93 | ~ class_Rings_Olinordered__semiring__1(X0) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3714]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16188,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X4),X5))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X5))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) != c_Groups_Oone__class_Oone(X0) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16187]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3711,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X4),X5) != c_Groups_Oone__class_Oone(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X5)) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5545_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16181,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X4),X5) != c_Groups_Oone__class_Oone(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X5)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3711]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16182,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X5))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X4),X5))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Oone__class_Oone(X0) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16181]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3709,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4) != c_Groups_Oone__class_Oone(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X5),X2)) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5545_4) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16177,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4) != c_Groups_Oone__class_Oone(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X5),X2)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3709]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16178,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X5))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X4),X5))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) != c_Groups_Oone__class_Oone(X0) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16177]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3707,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3) != c_Groups_Oone__class_Oone(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X4),X5))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X5))
% 9.69/9.93 | ~ class_Rings_Olinordered__semiring__1__strict(X0) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5545_6) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16173,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3) != c_Groups_Oone__class_Oone(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X4),X5))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X5))
% 9.69/9.93 | ~ class_Rings_Olinordered__semiring__1__strict(X0) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3707]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16174,plain,
% 9.69/9.93 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X4),X5))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X5))
% 9.69/9.93 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) != c_Groups_Oone__class_Oone(X0) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16173]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3705,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ c_SEQ_OCauchy(X0,X1)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk47_3(X2,X1,X0)),X3))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X3),hAPP(X1,X4)))),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk47_3(X2,X1,X0)),X4)) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5546_1) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16169,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ c_SEQ_OCauchy(X0,X1)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk47_3(X2,X1,X0)),X3))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X3),hAPP(X1,X4)))),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk47_3(X2,X1,X0)),X4)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3705]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16170,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk47_3(X1,X2,X0)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk47_3(X1,X2,X0)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X2,X3),hAPP(X2,X4)))),X1))
% 9.69/9.93 | ~ c_SEQ_OCauchy(X0,X2) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16169]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3701,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X2),hAPP(X1,X3)))),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk47_3(X4,X1,X0)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk47_3(X4,X1,X0)),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4))
% 9.69/9.93 | ~ c_SEQ_OCauchy(X0,X1)
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5546_5) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16161,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X2),hAPP(X1,X3)))),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk47_3(X4,X1,X0)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk47_3(X4,X1,X0)),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4))
% 9.69/9.93 | ~ c_SEQ_OCauchy(X0,X1)
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3701]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16162,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk47_3(X1,X2,X0)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk47_3(X1,X2,X0)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X2,X4),hAPP(X2,X3)))),X1))
% 9.69/9.93 | ~ c_SEQ_OCauchy(X0,X2) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16161]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3698,plain,
% 9.69/9.93 ( ~ c_SEQ_OCauchy(X0,X1)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X0,X2)),X3))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X3),hAPP(X1,X4)))),X2))
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X0,X2)),X4)) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5547_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16155,plain,
% 9.69/9.93 ( ~ c_SEQ_OCauchy(X0,X1)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X0,X2)),X3))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X3),hAPP(X1,X4)))),X2))
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X0,X2)),X4)) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3698]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16156,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X0,X2)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X0,X2)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X3),hAPP(X1,X4)))),X2))
% 9.69/9.93 | ~ c_SEQ_OCauchy(X0,X1) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16155]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3695,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X2),hAPP(X1,X3)))),X4))
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X0,X4)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X0,X4)),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4))
% 9.69/9.93 | ~ c_SEQ_OCauchy(X0,X1) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5547_5) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16149,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X2),hAPP(X1,X3)))),X4))
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X0,X4)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X0,X4)),X2))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4))
% 9.69/9.93 | ~ c_SEQ_OCauchy(X0,X1) ),
% 9.69/9.93 inference(copy,[status(esa)],[c_3695]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16150,plain,
% 9.69/9.93 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X0,X2)),X3))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X0,X2)),X4))
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.69/9.93 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X4),hAPP(X1,X3)))),X2))
% 9.69/9.93 | ~ c_SEQ_OCauchy(X0,X1) ),
% 9.69/9.93 inference(rewriting,[status(thm)],[c_16149]) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_3692,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk74_2(X0,X1)))
% 9.69/9.93 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.69/9.93 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X0,sk1_esk73_3(X0,X1,X2)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2)))) ),
% 9.69/9.93 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5548_2) ).
% 9.69/9.93
% 9.69/9.93 cnf(c_16143,plain,
% 9.69/9.93 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk74_2(X0,X1)))
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X0,sk1_esk73_3(X0,X1,X2)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2)))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3692]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16144,plain,
% 9.69/9.94 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk73_3(X1,X0,X2)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2))))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk74_2(X1,X0))) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_16143]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3689,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk70_2(X0,X1)))
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X0,sk1_esk69_3(X0,X1,X2)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2)))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5549_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16137,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk70_2(X0,X1)))
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X0,sk1_esk69_3(X0,X1,X2)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2)))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3689]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16138,plain,
% 9.69/9.94 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk70_2(X1,X0)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk69_3(X1,X0,X2)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2)))) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_16137]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3685,plain,
% 9.69/9.94 ( c_SEQ_OBseq(X0,X1)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk41_3(X1,X2,X0)))),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5550_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16129,plain,
% 9.69/9.94 ( c_SEQ_OBseq(X0,X1)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk41_3(X1,X2,X0)))),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3685]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16130,plain,
% 9.69/9.94 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk41_3(X1,X2,X0)))),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.69/9.94 | c_SEQ_OBseq(X0,X1) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_16129]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3681,plain,
% 9.69/9.94 ( c_SEQ_OBseq(X0,X1)
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk20_3(X1,X0,X2)))),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5551_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16121,plain,
% 9.69/9.94 ( c_SEQ_OBseq(X0,X1)
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk20_3(X1,X0,X2)))),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3681]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16122,plain,
% 9.69/9.94 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk20_3(X1,X0,X2)))),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.69/9.94 | c_SEQ_OBseq(X0,X1) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_16121]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3678,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(X1,X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),sk1_esk30_2(X1,X0))))),sk1_esk29_2(X1,X0)))
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5552_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16115,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(X1,X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),sk1_esk30_2(X1,X0))))),sk1_esk29_2(X1,X0)))
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3678]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16116,plain,
% 9.69/9.94 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(X1,X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),sk1_esk30_2(X1,X0))))),sk1_esk29_2(X1,X0)))
% 9.69/9.94 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_16115]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3672,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(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))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5554_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16103,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(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))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3672]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16104,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(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))) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_16103]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3661,plain,
% 9.69/9.94 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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)))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X1)
% 9.69/9.94 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5559_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16081,plain,
% 9.69/9.94 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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)))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X1)
% 9.69/9.94 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3661]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16082,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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)))
% 9.69/9.94 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.94 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_16081]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3660,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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)))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.94 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5559_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16079,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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)))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.94 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3660]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16080,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(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)))
% 9.69/9.94 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.94 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_16079]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3659,plain,
% 9.69/9.94 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4)),X5)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4)),X5)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X0))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X4)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5560_0) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16077,plain,
% 9.69/9.94 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4)),X5)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4)),X5)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X0))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X4)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3659]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16078,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)),X2)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X4))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X0))
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X5)),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)),X2) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_16077]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3653,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)),X5)))
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X0)),X4) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)),X5) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5560_6) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16065,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)),X5)))
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X0)),X4) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)),X5) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3653]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16066,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)),X2)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X5))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X0))
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5),X4)),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)),X2) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_16065]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3648,plain,
% 9.69/9.94 ( hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(X0,X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),sk1_esk54_3(X2,X0,X3)),X3))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5562_4) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16055,plain,
% 9.69/9.94 ( hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(X0,X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),sk1_esk54_3(X2,X0,X3)),X3))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3648]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16056,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),sk1_esk54_3(X0,X2,X1)),X1)))
% 9.69/9.94 | hBOOL(hAPP(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))))
% 9.69/9.94 | ~ hBOOL(hAPP(X2,X3)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_16055]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3643,plain,
% 9.69/9.94 ( c_SEQ_OCauchy(X0,c_COMBB(X1,X0,tc_Nat_Onat,X2,X3))
% 9.69/9.94 | ~ c_SEQ_OCauchy(X1,X3)
% 9.69/9.94 | ~ c_Lim_OisUCont(X1,X0,X2)
% 9.69/9.94 | ~ class_RealVector_Ometric__space(X1)
% 9.69/9.94 | ~ class_RealVector_Ometric__space(X0) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5563_4) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16045,plain,
% 9.69/9.94 ( c_SEQ_OCauchy(X0,c_COMBB(X1,X0,tc_Nat_Onat,X2,X3))
% 9.69/9.94 | ~ c_SEQ_OCauchy(X1,X3)
% 9.69/9.94 | ~ c_Lim_OisUCont(X1,X0,X2)
% 9.69/9.94 | ~ class_RealVector_Ometric__space(X1)
% 9.69/9.94 | ~ class_RealVector_Ometric__space(X0) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3643]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16046,plain,
% 9.69/9.94 ( ~ class_RealVector_Ometric__space(X0)
% 9.69/9.94 | ~ class_RealVector_Ometric__space(X1)
% 9.69/9.94 | ~ c_Lim_OisUCont(X0,X1,X2)
% 9.69/9.94 | c_SEQ_OCauchy(X1,c_COMBB(X0,X1,tc_Nat_Onat,X2,X3))
% 9.69/9.94 | ~ c_SEQ_OCauchy(X0,X3) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_16045]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3629,plain,
% 9.69/9.94 ( c_SEQ_Oincseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 9.69/9.94 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.94 | ~ c_SEQ_Odecseq(X0,X1) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5574_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16017,plain,
% 9.69/9.94 ( c_SEQ_Oincseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 9.69/9.94 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.94 | ~ c_SEQ_Odecseq(X0,X1) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3629]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16018,plain,
% 9.69/9.94 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.94 | ~ c_SEQ_Odecseq(X0,X1)
% 9.69/9.94 | c_SEQ_Oincseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_16017]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3623,plain,
% 9.69/9.94 ( c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5576_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16005,plain,
% 9.69/9.94 ( c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3623]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16006,plain,
% 9.69/9.94 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 9.69/9.94 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_16005]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3620,plain,
% 9.69/9.94 ( c_SEQ_OBseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5577_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15999,plain,
% 9.69/9.94 ( c_SEQ_OBseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3620]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_16000,plain,
% 9.69/9.94 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | c_SEQ_OBseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 9.69/9.94 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15999]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3616,plain,
% 9.69/9.94 ( c_SEQ_Oconvergent(X0,c_Fun_Ocomp(tc_Nat_Onat,X0,tc_Nat_Onat,X1,X2))
% 9.69/9.94 | ~ c_SEQ_Osubseq(X2)
% 9.69/9.94 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.69/9.94 | ~ class_SEQ_Ocomplete__space(X0) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5578_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15991,plain,
% 9.69/9.94 ( c_SEQ_Oconvergent(X0,c_Fun_Ocomp(tc_Nat_Onat,X0,tc_Nat_Onat,X1,X2))
% 9.69/9.94 | ~ c_SEQ_Osubseq(X2)
% 9.69/9.94 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.69/9.94 | ~ class_SEQ_Ocomplete__space(X0) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3616]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15992,plain,
% 9.69/9.94 ( ~ c_SEQ_Osubseq(X0)
% 9.69/9.94 | ~ class_SEQ_Ocomplete__space(X1)
% 9.69/9.94 | c_SEQ_Oconvergent(X1,c_Fun_Ocomp(tc_Nat_Onat,X1,tc_Nat_Onat,X2,X0))
% 9.69/9.94 | ~ c_SEQ_Oconvergent(X1,X2) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15991]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3612,plain,
% 9.69/9.94 ( c_SEQ_OCauchy(X0,c_Fun_Ocomp(tc_Nat_Onat,X0,tc_Nat_Onat,X1,X2))
% 9.69/9.94 | ~ c_SEQ_Osubseq(X2)
% 9.69/9.94 | ~ c_SEQ_OCauchy(X0,X1)
% 9.69/9.94 | ~ class_RealVector_Ometric__space(X0) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5579_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15983,plain,
% 9.69/9.94 ( c_SEQ_OCauchy(X0,c_Fun_Ocomp(tc_Nat_Onat,X0,tc_Nat_Onat,X1,X2))
% 9.69/9.94 | ~ c_SEQ_Osubseq(X2)
% 9.69/9.94 | ~ c_SEQ_OCauchy(X0,X1)
% 9.69/9.94 | ~ class_RealVector_Ometric__space(X0) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3612]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15984,plain,
% 9.69/9.94 ( ~ c_SEQ_Osubseq(X0)
% 9.69/9.94 | ~ class_RealVector_Ometric__space(X1)
% 9.69/9.94 | c_SEQ_OCauchy(X1,c_Fun_Ocomp(tc_Nat_Onat,X1,tc_Nat_Onat,X2,X0))
% 9.69/9.94 | ~ c_SEQ_OCauchy(X1,X2) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15983]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3610,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(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))))
% 9.69/9.94 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5580_1) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15979,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(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))))
% 9.69/9.94 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3610]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15980,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(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))))
% 9.69/9.94 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.94 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15979]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3608,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.94 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(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)))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5580_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15975,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.94 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(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)))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3608]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15976,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(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))))
% 9.69/9.94 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.94 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15975]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3592,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5589_1) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15943,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3592]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15944,plain,
% 9.69/9.94 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15943]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3588,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),X3))
% 9.69/9.94 | ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3)),X1)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5590_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15935,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),X3))
% 9.69/9.94 | ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3)),X1)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3588]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15936,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15935]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3585,plain,
% 9.69/9.94 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)
% 9.69/9.94 | ~ class_Rings_Oring(X0)
% 9.69/9.94 | hAPP(hAPP(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 ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5591_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15929,plain,
% 9.69/9.94 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)
% 9.69/9.94 | ~ class_Rings_Oring(X0)
% 9.69/9.94 | hAPP(hAPP(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 ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3585]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15930,plain,
% 9.69/9.94 ( ~ class_Rings_Oring(X0)
% 9.69/9.94 | hAPP(hAPP(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
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X4) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X5) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15929]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3582,plain,
% 9.69/9.94 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)
% 9.69/9.94 | ~ class_Rings_Oring(X0)
% 9.69/9.94 | X3 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2)),X5) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5592_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15923,plain,
% 9.69/9.94 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)
% 9.69/9.94 | ~ class_Rings_Oring(X0)
% 9.69/9.94 | X3 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2)),X5) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3582]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15924,plain,
% 9.69/9.94 ( ~ class_Rings_Oring(X0)
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)
% 9.69/9.94 | X3 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2)),X5) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15923]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3579,plain,
% 9.69/9.94 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0))
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1)),X2) != X4 ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5593_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15917,plain,
% 9.69/9.94 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0))
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1)),X2) != X4 ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3579]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15918,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2)),X3) != X4
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X4) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15917]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3576,plain,
% 9.69/9.94 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3))
% 9.69/9.94 | X2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1)),X4) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5594_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15911,plain,
% 9.69/9.94 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3))
% 9.69/9.94 | X2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1)),X4) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3576]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15912,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X4)
% 9.69/9.94 | X3 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2)),X4) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15911]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3575,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk66_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X1)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5595_0) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15909,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk66_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X1)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3575]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15910,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk66_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X1)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15909]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3574,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk66_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5595_1) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15907,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk66_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3574]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15908,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk66_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15907]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3572,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1))),sk1_esk66_3(X3,X2,X0))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5595_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15903,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1))),sk1_esk66_3(X3,X2,X0))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3572]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15904,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk66_3(X2,X0,X3)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15903]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3571,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk66_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5596_0) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15901,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk66_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3571]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15902,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk66_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15901]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3570,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk66_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5596_1) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15899,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk66_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3570]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15900,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk66_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15899]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3568,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X0))),sk1_esk66_3(X1,X3,X2))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5596_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15895,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X0))),sk1_esk66_3(X1,X3,X2))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3568]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15896,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk66_3(X2,X0,X3)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15895]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3566,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk53_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5597_1) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15891,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk53_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3566]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15892,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1))),sk1_esk53_3(X3,X2,X0)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15891]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3564,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1))),sk1_esk53_3(X3,X2,X0))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5597_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15887,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1))),sk1_esk53_3(X3,X2,X0))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3564]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15888,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1))),sk1_esk53_3(X3,X2,X0)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X3)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15887]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3562,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk53_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5598_1) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15883,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))),sk1_esk53_3(X2,X0,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X0)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3562]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15884,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X0))),sk1_esk53_3(X1,X2,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X2)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15883]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3560,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X0))),sk1_esk53_3(X1,X3,X2))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5598_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15879,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X0))),sk1_esk53_3(X1,X3,X2))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3560]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15880,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X0))),sk1_esk53_3(X1,X2,X3)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X1)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15879]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3555,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3))
% 9.69/9.94 | ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X3,X1))),X2)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5600_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15869,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3))
% 9.69/9.94 | ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X3,X1))),X2)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3555]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15870,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),X3))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3)),X1)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15869]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3550,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3)))))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4,X3),sk1_esk51_4(X1,X3,X4,X0)))
% 9.69/9.94 | ~ class_Orderings_Oord(X4)
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4,X3),X2)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5601_4) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15859,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3)))))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4,X3),sk1_esk51_4(X1,X3,X4,X0)))
% 9.69/9.94 | ~ class_Orderings_Oord(X4)
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4,X3),X2)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3550]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15860,plain,
% 9.69/9.94 ( ~ class_Orderings_Oord(X0)
% 9.69/9.94 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),sk1_esk51_4(X3,X2,X0,X1)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X3,X4))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X1,hAPP(X3,X2))))) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15859]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3545,plain,
% 9.69/9.94 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(X0,X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,sk1_esk52_3(X2,X0,X3),X3))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5603_4) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15849,plain,
% 9.69/9.94 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(X0,X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,sk1_esk52_3(X2,X0,X3),X3))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3545]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15850,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,sk1_esk52_3(X0,X2,X1),X1)))
% 9.69/9.94 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))))
% 9.69/9.94 | ~ hBOOL(hAPP(X2,X3)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15849]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3540,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.69/9.94 | ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),X3)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5605_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15839,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.69/9.94 | ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),X3)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3540]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15840,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),X3))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15839]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3537,plain,
% 9.69/9.94 ( hAPP(hAPP(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
% 9.69/9.94 | ~ class_Rings_Oring(X0)
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X5) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5606_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15833,plain,
% 9.69/9.94 ( hAPP(hAPP(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
% 9.69/9.94 | ~ class_Rings_Oring(X0)
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X5) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3537]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15834,plain,
% 9.69/9.94 ( ~ class_Rings_Oring(X0)
% 9.69/9.94 | hAPP(hAPP(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
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X5) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15833]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3534,plain,
% 9.69/9.94 ( X0 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)),X5)
% 9.69/9.94 | ~ class_Rings_Oring(X1)
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X5) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5607_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15827,plain,
% 9.69/9.94 ( X0 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)),X5)
% 9.69/9.94 | ~ class_Rings_Oring(X1)
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X5) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3534]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15828,plain,
% 9.69/9.94 ( ~ class_Rings_Oring(X0)
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2)),X5)
% 9.69/9.94 | X3 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2)),X5) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15827]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3532,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X3)),X4)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5608_1) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15823,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X3)),X4)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3532]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15824,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X2)),X4)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15823]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3523,plain,
% 9.69/9.94 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2)),X3) = X4
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X4) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5610_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15805,plain,
% 9.69/9.94 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2)),X3) = X4
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X4) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3523]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15806,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2)),X3) = X4
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X4) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15805]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3520,plain,
% 9.69/9.94 ( X0 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3)),X4)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5611_2) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15799,plain,
% 9.69/9.94 ( X0 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3)),X4)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3520]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15800,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.94 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X4)
% 9.69/9.94 | X3 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2)),X4) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15799]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3512,plain,
% 9.69/9.94 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X2),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3)),X4)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5614_1) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15783,plain,
% 9.69/9.94 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X2),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3)),X4)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3512]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15784,plain,
% 9.69/9.94 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X3),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2)),X4)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15783]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3508,plain,
% 9.69/9.94 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),X2))
% 9.69/9.94 | hBOOL(hAPP(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)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3)),X4)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5615_1) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15775,plain,
% 9.69/9.94 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),X2))
% 9.69/9.94 | hBOOL(hAPP(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)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3)),X4)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3508]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15776,plain,
% 9.69/9.94 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.69/9.94 | hBOOL(hAPP(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)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2)),X4)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15775]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3490,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk63_3(X0,X1,X2)),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk64_3(X0,X1,X2)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5622_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15739,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk63_3(X0,X1,X2)),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk64_3(X0,X1,X2)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3490]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15740,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk64_3(X0,X1,X2)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk63_3(X0,X1,X2)),X2)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15739]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3486,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk61_3(X0,X1,X2)),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk62_3(X0,X1,X2)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5623_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15731,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk61_3(X0,X1,X2)),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk62_3(X0,X1,X2)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3486]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15732,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk62_3(X0,X1,X2)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk61_3(X0,X1,X2)),X2)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15731]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3462,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(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)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5634_1) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15683,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(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)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3462]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15684,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15683]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3460,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5634_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15679,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3460]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15680,plain,
% 9.69/9.94 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15679]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3446,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5640_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15651,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3446]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15652,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15651]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3434,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5643_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15627,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3434]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15628,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15627]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3430,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | ~ class_Rings_Olinordered__semiring(X0) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5644_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15619,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | ~ class_Rings_Olinordered__semiring(X0) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3430]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15620,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__semiring(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15619]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3426,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5645_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15611,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3426]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15612,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15611]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3422,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | ~ class_Rings_Olinordered__semiring(X0) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5646_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15603,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | ~ class_Rings_Olinordered__semiring(X0) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3422]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15604,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__semiring(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15603]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3418,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5647_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15595,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3418]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15596,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15595]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3414,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5648_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15587,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3414]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15588,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15587]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3398,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.69/9.94 | ~ class_Rings_Olinordered__semidom(X2)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5652_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15555,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.69/9.94 | ~ class_Rings_Olinordered__semidom(X2)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3398]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15556,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15555]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3394,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5653_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15547,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3394]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15548,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15547]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3390,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.94 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5654_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15539,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.94 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3390]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15540,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15539]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3386,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5655_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15531,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3386]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15532,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15531]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3382,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5656_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15523,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.94 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3382]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15524,plain,
% 9.69/9.94 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(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)))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15523]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3380,plain,
% 9.69/9.94 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5658_1) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15519,plain,
% 9.69/9.94 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3380]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15520,plain,
% 9.69/9.94 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15519]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3378,plain,
% 9.69/9.94 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5658_3) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15515,plain,
% 9.69/9.94 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3378]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15516,plain,
% 9.69/9.94 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X4)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15515]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3376,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.69/9.94 | ~ class_Rings_Oordered__semiring(X0) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5658_5) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15511,plain,
% 9.69/9.94 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.69/9.94 | ~ class_Rings_Oordered__semiring(X0) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3376]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15512,plain,
% 9.69/9.94 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X4))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15511]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3374,plain,
% 9.69/9.94 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 9.69/9.94 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5659_1) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15507,plain,
% 9.69/9.94 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 9.69/9.94 inference(copy,[status(esa)],[c_3374]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_15508,plain,
% 9.69/9.94 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4)) ),
% 9.69/9.94 inference(rewriting,[status(thm)],[c_15507]) ).
% 9.69/9.94
% 9.69/9.94 cnf(c_3372,plain,
% 9.69/9.94 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.94 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.94 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5659_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15503,plain,
% 9.69/9.95 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3372]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15504,plain,
% 9.69/9.95 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X4)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15503]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3370,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Oordered__semiring(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5659_5) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15499,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Oordered__semiring(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3370]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15500,plain,
% 9.69/9.95 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15499]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3364,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5660_5) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15487,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3364]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15488,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X4)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15487]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3358,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5661_5) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15475,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3358]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15476,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X4)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15475]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3356,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5662_1) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15471,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3356]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15472,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X4)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15471]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3354,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5662_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15467,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3354]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15468,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X4)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15467]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3352,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5662_5) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15463,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3352]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15464,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15463]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3348,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5663_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15455,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3348]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15456,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X4)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15455]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3346,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5663_5) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15451,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3346]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15452,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15451]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3342,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5664_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15443,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3342]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15444,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(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)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15443]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3338,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5665_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15435,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3338]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15436,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(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)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15435]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3335,plain,
% 9.69/9.95 ( c_SEQ_Omonoseq(X0,X1)
% 9.69/9.95 | ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,c_Nat_OSuc(sk1_esk77_2(X1,X0)))),hAPP(X1,sk1_esk77_2(X1,X0)))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5666_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15429,plain,
% 9.69/9.95 ( c_SEQ_Omonoseq(X0,X1)
% 9.69/9.95 | ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,c_Nat_OSuc(sk1_esk77_2(X1,X0)))),hAPP(X1,sk1_esk77_2(X1,X0)))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3335]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15430,plain,
% 9.69/9.95 ( ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,c_Nat_OSuc(sk1_esk77_2(X1,X0)))),hAPP(X1,sk1_esk77_2(X1,X0))))
% 9.69/9.95 | c_SEQ_Omonoseq(X0,X1) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15429]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3326,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5669_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15411,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3326]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15412,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15411]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3322,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5670_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15403,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3322]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15404,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15403]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3317,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(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)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5673_0) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15393,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(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)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3317]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15394,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15393]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3314,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5673_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15387,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3314]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15388,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15387]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3313,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(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)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5674_0) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15385,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(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)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3313]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15386,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15385]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3310,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5674_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15379,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3310]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15380,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(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)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15379]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3307,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5675_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15373,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3307]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15374,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),c_RComplete_Onatfloor(X0))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)))) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15373]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3283,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5684_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15325,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(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))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3283]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15326,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(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)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15325]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3254,plain,
% 9.69/9.95 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 9.69/9.95 | hBOOL(hAPP(X0,sk1_esk52_3(X2,X0,X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(X0,X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5693_4) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15267,plain,
% 9.69/9.95 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 9.69/9.95 | hBOOL(hAPP(X0,sk1_esk52_3(X2,X0,X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(X0,X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3254]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15268,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.69/9.95 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))))
% 9.69/9.95 | hBOOL(hAPP(X2,sk1_esk52_3(X0,X2,X1)))
% 9.69/9.95 | ~ hBOOL(hAPP(X2,X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15267]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3250,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk63_3(X0,X1,X2)),X2))
% 9.69/9.95 | hAPP(X1,sk1_esk64_3(X0,X1,X2)) = X0
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5694_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15259,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk63_3(X0,X1,X2)),X2))
% 9.69/9.95 | hAPP(X1,sk1_esk64_3(X0,X1,X2)) = X0
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3250]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15260,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(X0,X2)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk63_3(X1,X0,X2)),X2))
% 9.69/9.95 | hAPP(X0,sk1_esk64_3(X1,X0,X2)) = X1 ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15259]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3246,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk61_3(X0,X1,X2)),X2))
% 9.69/9.95 | hAPP(X1,sk1_esk62_3(X0,X1,X2)) = X0
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5695_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15251,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk61_3(X0,X1,X2)),X2))
% 9.69/9.95 | hAPP(X1,sk1_esk62_3(X0,X1,X2)) = X0
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),hAPP(X1,X2))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3246]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15252,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(X0,X2)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk61_3(X1,X0,X2)),X2))
% 9.69/9.95 | hAPP(X0,sk1_esk62_3(X1,X0,X2)) = X1 ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15251]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3241,plain,
% 9.69/9.95 ( hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 9.69/9.95 | hBOOL(hAPP(X0,sk1_esk54_3(X2,X0,X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(X0,X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5696_4) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15241,plain,
% 9.69/9.95 ( hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 9.69/9.95 | hBOOL(hAPP(X0,sk1_esk54_3(X2,X0,X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(X0,X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3241]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15242,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.69/9.95 | hBOOL(hAPP(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))))
% 9.69/9.95 | hBOOL(hAPP(X2,sk1_esk54_3(X0,X2,X1)))
% 9.69/9.95 | ~ hBOOL(hAPP(X2,X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15241]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3236,plain,
% 9.69/9.95 ( hAPP(hAPP(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_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 9.69/9.95 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.69/9.95 | X1 = X3
% 9.69/9.95 | X2 = X4 ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5698_0) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15231,plain,
% 9.69/9.95 ( hAPP(hAPP(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_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 9.69/9.95 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.69/9.95 | X1 = X3
% 9.69/9.95 | X2 = X4 ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3236]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15232,plain,
% 9.69/9.95 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.69/9.95 | hAPP(hAPP(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_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 9.69/9.95 | X1 = X3
% 9.69/9.95 | X2 = X4 ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15231]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3233,plain,
% 9.69/9.95 ( X0 = X1
% 9.69/9.95 | X2 = X3
% 9.69/9.95 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4)
% 9.69/9.95 | hAPP(hAPP(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)) != hAPP(hAPP(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)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5698_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15225,plain,
% 9.69/9.95 ( X0 = X1
% 9.69/9.95 | X2 = X3
% 9.69/9.95 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4)
% 9.69/9.95 | hAPP(hAPP(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)) != hAPP(hAPP(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)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3233]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15226,plain,
% 9.69/9.95 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.69/9.95 | hAPP(hAPP(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_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 9.69/9.95 | X2 = X4
% 9.69/9.95 | X1 = X3 ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15225]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3228,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5699_4) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15215,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3228]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15216,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15215]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3212,plain,
% 9.69/9.95 ( c_SEQ_Omonoseq(X0,X1)
% 9.69/9.95 | ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk76_2(X1,X0))),hAPP(X1,c_Nat_OSuc(sk1_esk76_2(X1,X0))))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5704_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15183,plain,
% 9.69/9.95 ( c_SEQ_Omonoseq(X0,X1)
% 9.69/9.95 | ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk76_2(X1,X0))),hAPP(X1,c_Nat_OSuc(sk1_esk76_2(X1,X0))))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3212]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15184,plain,
% 9.69/9.95 ( ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk76_2(X1,X0))),hAPP(X1,c_Nat_OSuc(sk1_esk76_2(X1,X0)))))
% 9.69/9.95 | c_SEQ_Omonoseq(X0,X1) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15183]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3203,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5707_1) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15165,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3203]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15166,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15165]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3201,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5707_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15161,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3201]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15162,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15161]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3182,plain,
% 9.69/9.95 ( c_RComplete_Onatceiling(X0) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X0)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5716_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15123,plain,
% 9.69/9.95 ( c_RComplete_Onatceiling(X0) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X0)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3182]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15124,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X0))
% 9.69/9.95 | c_RComplete_Onatceiling(X0) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15123]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3181,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5717_0) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15121,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3181]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15122,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15121]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3178,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5717_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15115,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3178]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15116,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15115]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3175,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5718_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15109,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3175]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15110,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15109]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3171,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.69/9.95 | ~ class_Rings_Oordered__comm__semiring(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5719_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15101,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.69/9.95 | ~ class_Rings_Oordered__comm__semiring(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3171]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15102,plain,
% 9.69/9.95 ( ~ class_Rings_Oordered__comm__semiring(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15101]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3167,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.69/9.95 | ~ class_Rings_Oordered__semiring(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5720_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15093,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.69/9.95 | ~ class_Rings_Oordered__semiring(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3167]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15094,plain,
% 9.69/9.95 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15093]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3163,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Oordered__semiring(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5721_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15085,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Oordered__semiring(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3163]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15086,plain,
% 9.69/9.95 ( ~ class_Rings_Oordered__semiring(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15085]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3159,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5722_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15077,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3159]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15078,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15077]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3155,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__comm__semiring__strict(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5723_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15069,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__comm__semiring__strict(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3155]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15070,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__comm__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15069]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3151,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5724_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15061,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3151]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15062,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15061]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3147,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5725_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15053,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3147]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15054,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15053]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3139,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5727_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15037,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3139]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15038,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15037]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3135,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5728_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15029,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3135]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15030,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15029]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3131,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5729_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15021,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.69/9.95 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3131]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15022,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15021]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3127,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5730_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15013,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3127]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15014,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15013]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3123,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5731_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15005,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3123]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_15006,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_15005]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3115,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)))
% 9.69/9.95 | ~ class_Rings_Olinordered__semidom(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5734_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14989,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)))
% 9.69/9.95 | ~ class_Rings_Olinordered__semidom(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3115]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14990,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14989]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3102,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5738_0) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14963,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3102]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14964,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14963]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3099,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5738_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14957,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3099]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14958,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14957]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3094,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oone__class_Oone(X0)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5739_4) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14947,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oone__class_Oone(X0)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3094]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14948,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oone__class_Oone(X0))) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14947]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3089,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5740_4) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14937,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3089]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14938,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oone__class_Oone(X0))) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14937]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3077,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5743_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14913,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.69/9.95 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3077]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14914,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14913]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3044,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5752_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14847,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3044]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14848,plain,
% 9.69/9.95 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X4),X2)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14847]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3042,plain,
% 9.69/9.95 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X4)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5753_1) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14843,plain,
% 9.69/9.95 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X4)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3042]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14844,plain,
% 9.69/9.95 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X4)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14843]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3038,plain,
% 9.69/9.95 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X4)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5754_1) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14835,plain,
% 9.69/9.95 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X4)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3038]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14836,plain,
% 9.69/9.95 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14835]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3033,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5755_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14825,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3033]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14826,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14825]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3031,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5756_1) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14821,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3031]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14822,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X0)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14821]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3023,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.95 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5759_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14805,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.95 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3023]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14806,plain,
% 9.69/9.95 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14805]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3020,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5760_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14799,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.95 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3020]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14800,plain,
% 9.69/9.95 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14799]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3007,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5766_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14773,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3007]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14774,plain,
% 9.69/9.95 ( ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14773]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3004,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5767_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14767,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3004]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14768,plain,
% 9.69/9.95 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14767]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_3001,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5768_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14761,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_3001]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14762,plain,
% 9.69/9.95 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14761]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_2998,plain,
% 9.69/9.95 ( c_SEQ_Oincseq(X0,X1)
% 9.69/9.95 | ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk16_2(X1,X0))),hAPP(X1,sk1_esk17_2(X1,X0)))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5769_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14755,plain,
% 9.69/9.95 ( c_SEQ_Oincseq(X0,X1)
% 9.69/9.95 | ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk16_2(X1,X0))),hAPP(X1,sk1_esk17_2(X1,X0)))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_2998]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14756,plain,
% 9.69/9.95 ( ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk16_2(X1,X0))),hAPP(X1,sk1_esk17_2(X1,X0))))
% 9.69/9.95 | c_SEQ_Oincseq(X0,X1) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14755]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_2995,plain,
% 9.69/9.95 ( c_SEQ_Odecseq(X0,X1)
% 9.69/9.95 | ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk13_2(X1,X0))),hAPP(X1,sk1_esk12_2(X1,X0)))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5770_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14749,plain,
% 9.69/9.95 ( c_SEQ_Odecseq(X0,X1)
% 9.69/9.95 | ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk13_2(X1,X0))),hAPP(X1,sk1_esk12_2(X1,X0)))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_2995]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14750,plain,
% 9.69/9.95 ( ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk13_2(X1,X0))),hAPP(X1,sk1_esk12_2(X1,X0))))
% 9.69/9.95 | c_SEQ_Odecseq(X0,X1) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14749]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_2992,plain,
% 9.69/9.95 ( c_SEQ_Omonoseq(X0,X1)
% 9.69/9.95 | ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk4_2(X1,X0))),hAPP(X1,sk1_esk5_2(X1,X0)))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5771_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14743,plain,
% 9.69/9.95 ( c_SEQ_Omonoseq(X0,X1)
% 9.69/9.95 | ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk4_2(X1,X0))),hAPP(X1,sk1_esk5_2(X1,X0)))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_2992]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14744,plain,
% 9.69/9.95 ( ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk4_2(X1,X0))),hAPP(X1,sk1_esk5_2(X1,X0))))
% 9.69/9.95 | c_SEQ_Omonoseq(X0,X1) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14743]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_2989,plain,
% 9.69/9.95 ( c_SEQ_Omonoseq(X0,X1)
% 9.69/9.95 | ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk7_2(X1,X0))),hAPP(X1,sk1_esk6_2(X1,X0)))) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5772_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14737,plain,
% 9.69/9.95 ( c_SEQ_Omonoseq(X0,X1)
% 9.69/9.95 | ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk7_2(X1,X0))),hAPP(X1,sk1_esk6_2(X1,X0)))) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_2989]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14738,plain,
% 9.69/9.95 ( ~ class_Orderings_Oorder(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk7_2(X1,X0))),hAPP(X1,sk1_esk6_2(X1,X0))))
% 9.69/9.95 | c_SEQ_Omonoseq(X0,X1) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14737]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_2977,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5777_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14713,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_2977]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14714,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14713]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_2959,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5783_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14677,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_2959]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14678,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14677]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_2956,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5784_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14671,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_2956]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14672,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14671]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_2953,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5785_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14665,plain,
% 9.69/9.95 ( hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X2)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_2953]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14666,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.95 | hBOOL(hAPP(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)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14665]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_2946,plain,
% 9.69/9.95 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_RealVector_Onorm__class_Onorm(X1,X3))))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.69/9.95 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5787_3) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14651,plain,
% 9.69/9.95 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_RealVector_Onorm__class_Onorm(X1,X3))))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.69/9.95 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_2946]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14652,plain,
% 9.69/9.95 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_RealVector_Onorm__class_Onorm(X0,X3))))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.69/9.95 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14651]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_2939,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X2)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5790_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14637,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X3))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X2)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_2939]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14638,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),X1)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14637]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_2937,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5791_1) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14633,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_2937]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14634,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14633]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_2934,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5792_1) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14627,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_2934]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14628,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14627]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_2931,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5793_1) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14621,plain,
% 9.69/9.95 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.95 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
% 9.69/9.95 inference(copy,[status(esa)],[c_2931]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14622,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3)) ),
% 9.69/9.95 inference(rewriting,[status(thm)],[c_14621]) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_2917,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.69/9.95 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.95 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5798_2) ).
% 9.69/9.95
% 9.69/9.95 cnf(c_14593,plain,
% 9.69/9.95 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.69/9.95 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.69/9.95 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2917]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14594,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14593]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2914,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5799_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14587,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2914]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14588,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14587]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2911,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5800_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14581,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2911]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14582,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14581]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2908,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5801_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14575,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2908]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14576,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14575]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2878,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5810_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14515,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2878]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14516,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14515]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2874,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5811_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14507,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2874]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14508,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14507]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2859,plain,
% 9.69/9.96 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2))))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5815_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14477,plain,
% 9.69/9.96 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2))))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2859]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14478,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X2))))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.69/9.96 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14477]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2847,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5819_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14453,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2847]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14454,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14453]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2845,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5820_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14449,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2845]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14450,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14449]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2841,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5821_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14441,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2841]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14442,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14441]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2824,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5827_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14407,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2824]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14408,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X0)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14407]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2811,plain,
% 9.69/9.96 ( ~ c_SEQ_Omonoseq(X0,X1)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4),X5))
% 9.69/9.96 | ~ class_Orderings_Oorder(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X5)),hAPP(X1,X4))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5834_0) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14381,plain,
% 9.69/9.96 ( ~ c_SEQ_Omonoseq(X0,X1)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4),X5))
% 9.69/9.96 | ~ class_Orderings_Oorder(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X5)),hAPP(X1,X4))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2811]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14382,plain,
% 9.69/9.96 ( ~ class_Orderings_Oorder(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X1)),hAPP(X5,X2)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X4)),hAPP(X5,X3)))
% 9.69/9.96 | ~ c_SEQ_Omonoseq(X0,X5) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14381]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2808,plain,
% 9.69/9.96 ( ~ c_SEQ_Omonoseq(X0,X1)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X4)),hAPP(X1,X5)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 9.69/9.96 | ~ class_Orderings_Oorder(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5),X4)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5834_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14375,plain,
% 9.69/9.96 ( ~ c_SEQ_Omonoseq(X0,X1)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X4)),hAPP(X1,X5)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 9.69/9.96 | ~ class_Orderings_Oorder(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5),X4)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2808]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14376,plain,
% 9.69/9.96 ( ~ class_Orderings_Oorder(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X4)),hAPP(X5,X3)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X1)),hAPP(X5,X2)))
% 9.69/9.96 | ~ c_SEQ_Omonoseq(X0,X5) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14375]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2806,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X4)),hAPP(X1,X5)))
% 9.69/9.96 | ~ class_Orderings_Oorder(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4),X5))
% 9.69/9.96 | ~ c_SEQ_Omonoseq(X0,X1) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5834_5) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14371,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X4)),hAPP(X1,X5)))
% 9.69/9.96 | ~ class_Orderings_Oorder(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4),X5))
% 9.69/9.96 | ~ c_SEQ_Omonoseq(X0,X1) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2806]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14372,plain,
% 9.69/9.96 ( ~ class_Orderings_Oorder(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X2)),hAPP(X5,X1)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X3)),hAPP(X5,X4)))
% 9.69/9.96 | ~ c_SEQ_Omonoseq(X0,X5) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14371]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2775,plain,
% 9.69/9.96 ( hAPP(hAPP(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_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 9.69/9.96 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.69/9.96 | X1 != X3 ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5848_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14309,plain,
% 9.69/9.96 ( hAPP(hAPP(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_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 9.69/9.96 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.69/9.96 | X1 != X3 ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2775]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14310,plain,
% 9.69/9.96 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.69/9.96 | hAPP(hAPP(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_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 9.69/9.96 | X1 != X3 ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14309]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2772,plain,
% 9.69/9.96 ( hAPP(hAPP(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_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 9.69/9.96 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.69/9.96 | X2 != X4 ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5849_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14303,plain,
% 9.69/9.96 ( hAPP(hAPP(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_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 9.69/9.96 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.69/9.96 | X2 != X4 ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2772]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14304,plain,
% 9.69/9.96 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.69/9.96 | hAPP(hAPP(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_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 9.69/9.96 | X2 != X4 ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14303]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2757,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5865_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14273,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2757]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14274,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14273]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2756,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5865_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14271,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2756]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14272,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14271]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2753,plain,
% 9.69/9.96 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(X0,sk1_esk49_3(X2,X1,X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5866_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14265,plain,
% 9.69/9.96 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(X0,sk1_esk49_3(X2,X1,X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2753]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14266,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.69/9.96 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(X2,sk1_esk49_3(X1,X0,X2))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14265]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2750,plain,
% 9.69/9.96 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(X0,sk1_esk48_3(X2,X1,X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5867_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14259,plain,
% 9.69/9.96 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(X0,sk1_esk48_3(X2,X1,X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2750]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14260,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.69/9.96 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(X2,sk1_esk48_3(X1,X0,X2))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14259]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2746,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5868_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14251,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2746]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14252,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14251]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2742,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5869_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14243,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2742]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14244,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14243]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2738,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5870_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14235,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2738]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14236,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14235]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2734,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5871_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14227,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2734]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14228,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14227]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2730,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2))
% 9.69/9.96 | ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5872_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14219,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2))
% 9.69/9.96 | ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2730]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14220,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14219]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2722,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5874_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14203,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2722]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14204,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14203]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2717,plain,
% 9.69/9.96 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.69/9.96 | ~ hBOOL(hAPP(X0,sk1_esk49_3(X2,X1,X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5878_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14193,plain,
% 9.69/9.96 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.69/9.96 | ~ hBOOL(hAPP(X0,sk1_esk49_3(X2,X1,X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2717]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14194,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.69/9.96 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(X0,sk1_esk49_3(X2,X1,X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14193]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2714,plain,
% 9.69/9.96 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.69/9.96 | ~ hBOOL(hAPP(X0,sk1_esk48_3(X2,X1,X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5879_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14187,plain,
% 9.69/9.96 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.69/9.96 | ~ hBOOL(hAPP(X0,sk1_esk48_3(X2,X1,X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2714]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14188,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.69/9.96 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(X0,sk1_esk48_3(X2,X1,X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14187]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2711,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2),X3))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3),X2))
% 9.69/9.96 | ~ class_Orderings_Oord(X1) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5880_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14181,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2),X3))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3),X2))
% 9.69/9.96 | ~ class_Orderings_Oord(X1) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2711]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14182,plain,
% 9.69/9.96 ( ~ class_Orderings_Oord(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2),X3))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3),X2))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2),X3)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14181]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2710,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2),X3))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3),X2))
% 9.69/9.96 | ~ class_Orderings_Oord(X1)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5880_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14179,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2),X3))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3),X2))
% 9.69/9.96 | ~ class_Orderings_Oord(X1)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2710]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14180,plain,
% 9.69/9.96 ( ~ class_Orderings_Oord(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2),X3))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3),X2))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X3),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14179]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2701,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5884_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14161,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2701]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14162,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14161]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2698,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5885_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14155,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2698]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14156,plain,
% 9.69/9.96 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14155]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2695,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5886_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14149,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2695]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14150,plain,
% 9.69/9.96 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14149]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2692,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5887_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14143,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2692]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14144,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14143]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2689,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5888_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14137,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2689]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14138,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14137]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2681,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5890_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14121,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2681]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14122,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14121]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2679,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5891_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14117,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2679]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14118,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14117]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2674,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5892_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14107,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2674]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14108,plain,
% 9.69/9.96 ( ~ class_Rings_Oordered__ring(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14107]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2673,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5892_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14105,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ class_Rings_Oordered__ring(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2673]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14106,plain,
% 9.69/9.96 ( ~ class_Rings_Oordered__ring(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14105]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2671,plain,
% 9.69/9.96 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5893_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14101,plain,
% 9.69/9.96 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2671]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14102,plain,
% 9.69/9.96 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14101]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2666,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5894_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14091,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2666]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14092,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14091]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2665,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5894_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14089,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2665]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14090,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14089]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2663,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5895_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14085,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2663]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14086,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14085]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2659,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5896_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14077,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2659]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14078,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14077]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2655,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5897_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14069,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2655]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14070,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14069]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2650,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.69/9.96 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | X1 = X3
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5898_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14059,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.69/9.96 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | X1 = X3
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2650]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14060,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))
% 9.69/9.96 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3)
% 9.69/9.96 | X1 = X2 ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14059]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2647,plain,
% 9.69/9.96 ( X0 = X1
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3)),X0))
% 9.69/9.96 | hAPP(hAPP(c_Power_Opower__class_Opower(X3),X0),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X2)
% 9.69/9.96 | ~ class_Rings_Olinordered__semidom(X3) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5898_5) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14053,plain,
% 9.69/9.96 ( X0 = X1
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3)),X0))
% 9.69/9.96 | hAPP(hAPP(c_Power_Opower__class_Opower(X3),X0),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X2)
% 9.69/9.96 | ~ class_Rings_Olinordered__semidom(X3) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2647]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14054,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))
% 9.69/9.96 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 9.69/9.96 | X2 = X1 ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14053]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2635,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.69/9.96 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5903_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14029,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.69/9.96 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2635]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_14030,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_14029]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2611,plain,
% 9.69/9.96 ( ~ class_Rings_Oordered__ring(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5915_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13981,plain,
% 9.69/9.96 ( ~ class_Rings_Oordered__ring(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2611]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13982,plain,
% 9.69/9.96 ( ~ class_Rings_Oordered__ring(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13981]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2606,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5916_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13971,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2606]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13972,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13971]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2605,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5916_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13969,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2605]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13970,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13969]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2603,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5917_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13965,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2603]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13966,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13965]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2596,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),X1))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5919_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13951,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),X1))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2596]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13952,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13951]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2595,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),X1)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5919_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13949,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),X1)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2595]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13950,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13949]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2590,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),X1))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5921_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13939,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),X1))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2590]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13940,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13939]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2589,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),X1)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5921_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13937,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),X1)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2589]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13938,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13937]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2584,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)),X0)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5924_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13927,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)),X0)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2584]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13928,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)),X1))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13927]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2582,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5925_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13923,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2582]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13924,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13923]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2580,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5926_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13919,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2580]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13920,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13919]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2577,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5927_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13913,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2577]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13914,plain,
% 9.69/9.96 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13913]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2574,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5928_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13907,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2574]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13908,plain,
% 9.69/9.96 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13907]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2568,plain,
% 9.69/9.96 ( ~ class_Orderings_Oord(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2),X3))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5930_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13895,plain,
% 9.69/9.96 ( ~ class_Orderings_Oord(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2),X3))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2568]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13896,plain,
% 9.69/9.96 ( ~ class_Orderings_Oord(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2),X3))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X3),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13895]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2560,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5932_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13879,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2560]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13880,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2))) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13879]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2541,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 9.69/9.96 | ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5938_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13841,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 9.69/9.96 | ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2541]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13842,plain,
% 9.69/9.96 ( ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13841]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2540,plain,
% 9.69/9.96 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.69/9.96 | ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5938_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13839,plain,
% 9.69/9.96 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.69/9.96 | ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2540]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13840,plain,
% 9.69/9.96 ( ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13839]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2537,plain,
% 9.69/9.96 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X1)
% 9.69/9.96 | hAPP(hAPP(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) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5940_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13833,plain,
% 9.69/9.96 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X1)
% 9.69/9.96 | hAPP(hAPP(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) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2537]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13834,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | hAPP(hAPP(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)
% 9.69/9.96 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13833]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2534,plain,
% 9.69/9.96 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X1)
% 9.69/9.96 | hAPP(hAPP(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) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5941_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13827,plain,
% 9.69/9.96 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.96 | ~ class_Rings_Olinordered__ring__strict(X1)
% 9.69/9.96 | hAPP(hAPP(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) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2534]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13828,plain,
% 9.69/9.96 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.69/9.96 | hAPP(hAPP(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)
% 9.69/9.96 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13827]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2526,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,c_Nat_OSuc(X2))),hAPP(X1,X2)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X3)),hAPP(X1,c_Nat_OSuc(X3))))
% 9.69/9.96 | ~ class_Orderings_Oorder(X0)
% 9.69/9.96 | ~ c_SEQ_Omonoseq(X0,X1) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5944_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13811,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,c_Nat_OSuc(X2))),hAPP(X1,X2)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X3)),hAPP(X1,c_Nat_OSuc(X3))))
% 9.69/9.96 | ~ class_Orderings_Oorder(X0)
% 9.69/9.96 | ~ c_SEQ_Omonoseq(X0,X1) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2526]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13812,plain,
% 9.69/9.96 ( ~ class_Orderings_Oorder(X0)
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,c_Nat_OSuc(X2))),hAPP(X1,X2)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X3)),hAPP(X1,c_Nat_OSuc(X3))))
% 9.69/9.96 | ~ c_SEQ_Omonoseq(X0,X1) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13811]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2523,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5945_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13805,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2523]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13806,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13805]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2520,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.96 | ~ class_Lattices_Oboolean__algebra(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5946_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13799,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.96 | ~ class_Lattices_Oboolean__algebra(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2520]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13800,plain,
% 9.69/9.96 ( ~ class_Lattices_Oboolean__algebra(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13799]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2517,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5947_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13793,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.69/9.96 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2517]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13794,plain,
% 9.69/9.96 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13793]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2513,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5948_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13785,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2513]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13786,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)) != X2 ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13785]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2507,plain,
% 9.69/9.96 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.69/9.96 | ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5950_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13773,plain,
% 9.69/9.96 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.69/9.96 | ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2507]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13774,plain,
% 9.69/9.96 ( ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13773]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2503,plain,
% 9.69/9.96 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.69/9.96 | ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5951_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13765,plain,
% 9.69/9.96 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.69/9.96 | ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2503]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13766,plain,
% 9.69/9.96 ( ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13765]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2499,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5952_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13757,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2499]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13758,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X1))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0)) != X1 ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13757]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2494,plain,
% 9.69/9.96 ( 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)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5954_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13747,plain,
% 9.69/9.96 ( 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)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2494]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13748,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.69/9.96 | 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) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13747]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2491,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 9.69/9.96 | ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5955_2) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13741,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 9.69/9.96 | ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2491]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13742,plain,
% 9.69/9.96 ( ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13741]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2490,plain,
% 9.69/9.96 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.69/9.96 | ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5955_3) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13739,plain,
% 9.69/9.96 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.69/9.96 | ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2490]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13740,plain,
% 9.69/9.96 ( ~ class_Rings_Oordered__ring__abs(X0)
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.96 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13739]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2488,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5957_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13735,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2488]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13736,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13735]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2485,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5958_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13729,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.96 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2485]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13730,plain,
% 9.69/9.96 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13729]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2482,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.69/9.96 | hBOOL(hAPP(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)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5959_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13723,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.69/9.96 | hBOOL(hAPP(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)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2482]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13724,plain,
% 9.69/9.96 ( hBOOL(hAPP(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)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.69/9.96 inference(rewriting,[status(thm)],[c_13723]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_2479,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.96 | hBOOL(hAPP(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)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 9.69/9.96 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5960_1) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13717,plain,
% 9.69/9.96 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.96 | hBOOL(hAPP(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)))
% 9.69/9.96 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 9.69/9.96 inference(copy,[status(esa)],[c_2479]) ).
% 9.69/9.96
% 9.69/9.96 cnf(c_13718,plain,
% 9.69/9.96 ( hBOOL(hAPP(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)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13717]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2474,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk66_3(X1,X0,X2)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X0)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5965_1) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13707,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk66_3(X1,X0,X2)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X0)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2474]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13708,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk66_3(X0,X1,X2)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X1)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13707]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2471,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk53_3(X1,X0,X2)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X0)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5966_1) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13701,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk53_3(X1,X0,X2)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X0)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2471]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13702,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk53_3(X0,X1,X2)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X1)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13701]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2450,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5974_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13659,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2450]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13660,plain,
% 9.69/9.97 ( ~ class_Rings_Olinordered__idom(X0)
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13659]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2438,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5979_1) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13635,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2438]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13636,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13635]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2434,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5980_1) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13627,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2434]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13628,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1)),c_Transcendental_Oln(X0)))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13627]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2432,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1))) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5980_3) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13623,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1))) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2432]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13624,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13623]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2396,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5996_1) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13551,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2396]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13552,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13551]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2394,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5996_3) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13547,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2394]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13548,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13547]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2392,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5997_1) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13543,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2392]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13544,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1)),c_Transcendental_Oln(X0)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13543]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2390,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5997_3) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13539,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2390]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13540,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13539]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2378,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | X0 = sk1_esk57_2(X1,X2)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1 ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6002_3) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13515,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | X0 = sk1_esk57_2(X1,X2)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1 ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2378]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13516,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.69/9.97 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1
% 9.69/9.97 | X0 = sk1_esk57_2(X1,X2) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13515]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2377,plain,
% 9.69/9.97 ( X0 = sk1_esk57_2(X1,X2)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6002_4) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13513,plain,
% 9.69/9.97 ( X0 = sk1_esk57_2(X1,X2)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2377]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13514,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.69/9.97 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2) != X0
% 9.69/9.97 | X1 = sk1_esk57_2(X0,X2) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13513]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2370,plain,
% 9.69/9.97 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.69/9.97 | X1 != X2
% 9.69/9.97 | X3 = X4
% 9.69/9.97 | X5 = c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X4)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6005_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13499,plain,
% 9.69/9.97 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.69/9.97 | X1 != X2
% 9.69/9.97 | X3 = X4
% 9.69/9.97 | X5 = c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X4)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2370]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13500,plain,
% 9.69/9.97 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X5))
% 9.69/9.97 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | X1 != X4
% 9.69/9.97 | X3 = X5 ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13499]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2368,plain,
% 9.69/9.97 ( X0 = X1
% 9.69/9.97 | X2 = c_Groups_Ozero__class_Ozero(X3)
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1))
% 9.69/9.97 | X4 != X5
% 9.69/9.97 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6005_4) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13495,plain,
% 9.69/9.97 ( X0 = X1
% 9.69/9.97 | X2 = c_Groups_Ozero__class_Ozero(X3)
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1))
% 9.69/9.97 | X4 != X5
% 9.69/9.97 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2368]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13496,plain,
% 9.69/9.97 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X5))
% 9.69/9.97 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | X3 = X5
% 9.69/9.97 | X1 != X4 ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13495]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2365,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6006_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13489,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2365]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13490,plain,
% 9.69/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13489]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2362,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6007_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13483,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2362]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13484,plain,
% 9.69/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13483]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2354,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_RComplete_Onatfloor(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),X1)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6011_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13467,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_RComplete_Onatfloor(X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),X1)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2354]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13468,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X0))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_RComplete_Onatfloor(X0))) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13467]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2348,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)))
% 9.69/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6015_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13455,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)))
% 9.69/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2348]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13456,plain,
% 9.69/9.97 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13455]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2339,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)))
% 9.69/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6018_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13437,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)))
% 9.69/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2339]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13438,plain,
% 9.69/9.97 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13437]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2336,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3))
% 9.69/9.97 | ~ class_Orderings_Oord(X1)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2),X3)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6019_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13431,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3))
% 9.69/9.97 | ~ class_Orderings_Oord(X1)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2),X3)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2336]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13432,plain,
% 9.69/9.97 ( ~ class_Orderings_Oord(X0)
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2),X3))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2),X3)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13431]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2331,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6021_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13421,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2331]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13422,plain,
% 9.69/9.97 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13421]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2328,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6022_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13415,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2328]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13416,plain,
% 9.69/9.97 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13415]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2322,plain,
% 9.69/9.97 ( hBOOL(hAPP(X0,X1))
% 9.69/9.97 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
% 9.69/9.97 | X2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6024_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13403,plain,
% 9.69/9.97 ( hBOOL(hAPP(X0,X1))
% 9.69/9.97 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
% 9.69/9.97 | X2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2322]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13404,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.69/9.97 | hBOOL(hAPP(X0,X3))
% 9.69/9.97 | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13403]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2311,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk42_2(X1,X0)))
% 9.69/9.97 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.97 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6028_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13381,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk42_2(X1,X0)))
% 9.69/9.97 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.97 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2311]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13382,plain,
% 9.69/9.97 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk42_2(X1,X0)))
% 9.69/9.97 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13381]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2308,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk19_2(X1,X0)))
% 9.69/9.97 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.97 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6029_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13375,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk19_2(X1,X0)))
% 9.69/9.97 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.97 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2308]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13376,plain,
% 9.69/9.97 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk19_2(X1,X0)))
% 9.69/9.97 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13375]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2305,plain,
% 9.69/9.97 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk49_3(X2,X1,X0)) = X1 ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6030_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13369,plain,
% 9.69/9.97 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk49_3(X2,X1,X0)) = X1 ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2305]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13370,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.69/9.97 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),sk1_esk49_3(X1,X0,X2)) = X0 ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13369]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2302,plain,
% 9.69/9.97 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk48_3(X2,X1,X0)) = X1 ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6031_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13363,plain,
% 9.69/9.97 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk48_3(X2,X1,X0)) = X1 ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2302]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13364,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.69/9.97 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),sk1_esk48_3(X1,X0,X2)) = X0 ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13363]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2300,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),X0)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6032_1) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13359,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),X0)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2300]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13360,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)),X0)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13359]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2285,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.69/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6042_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13329,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.69/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2285]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13330,plain,
% 9.69/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13329]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2270,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_RComplete_Onatfloor(X1))) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6047_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13299,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_RComplete_Onatfloor(X1))) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2270]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13300,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_RComplete_Onatfloor(X0))) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13299]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2262,plain,
% 9.69/9.97 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.97 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6050_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13283,plain,
% 9.69/9.97 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.97 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2262]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13284,plain,
% 9.69/9.97 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13283]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2260,plain,
% 9.69/9.97 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.97 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6050_4) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13279,plain,
% 9.69/9.97 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.97 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2260]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13280,plain,
% 9.69/9.97 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13279]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2257,plain,
% 9.69/9.97 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.97 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6051_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13273,plain,
% 9.69/9.97 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.97 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2257]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13274,plain,
% 9.69/9.97 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13273]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2255,plain,
% 9.69/9.97 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.97 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6051_4) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13269,plain,
% 9.69/9.97 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.97 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2255]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13270,plain,
% 9.69/9.97 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13269]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2252,plain,
% 9.69/9.97 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)) = c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6052_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13263,plain,
% 9.69/9.97 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)) = c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2252]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13264,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(X1)),c_Transcendental_Oln(X0)) = c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13263]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2235,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6060_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13229,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2235]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13230,plain,
% 9.69/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13229]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2232,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6061_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13223,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.69/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2232]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13224,plain,
% 9.69/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13223]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2227,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),X1)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6063_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13213,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),X1)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2227]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13214,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),X1)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13213]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2224,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk57_2(X0,X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6064_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13207,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk57_2(X0,X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2224]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13208,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk57_2(X0,X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13207]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2221,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk56_2(X0,X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6065_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13201,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk56_2(X0,X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2221]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13202,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk56_2(X0,X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13201]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2219,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(X0,X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6066_1) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13197,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(X0,X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2219]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13198,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(X0,X1)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13197]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2193,plain,
% 9.69/9.97 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.97 | X2 != c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.97 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0)) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6076_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13145,plain,
% 9.69/9.97 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.97 | X2 != c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.97 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0)) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2193]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13146,plain,
% 9.69/9.97 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13145]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2191,plain,
% 9.69/9.97 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.97 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 9.69/9.97 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6076_4) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13141,plain,
% 9.69/9.97 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) = c_Groups_Ozero__class_Ozero(X1)
% 9.69/9.97 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 9.69/9.97 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2191]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13142,plain,
% 9.69/9.97 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13141]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2190,plain,
% 9.69/9.97 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.97 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6076_5) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13139,plain,
% 9.69/9.97 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.97 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2190]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13140,plain,
% 9.69/9.97 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.69/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 9.69/9.97 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13139]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2181,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.69/9.97 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6080_1) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13121,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.69/9.97 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2181]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13122,plain,
% 9.69/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13121]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2180,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.69/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6080_2) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13119,plain,
% 9.69/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.69/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.69/9.97 inference(copy,[status(esa)],[c_2180]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_13120,plain,
% 9.69/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.69/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.69/9.97 inference(rewriting,[status(thm)],[c_13119]) ).
% 9.69/9.97
% 9.69/9.97 cnf(c_2175,plain,
% 9.69/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.69/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.69/9.97 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 9.69/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6082_1) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13109,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2175]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13110,plain,
% 9.75/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_13109]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2174,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6082_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13107,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2174]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13108,plain,
% 9.75/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_13107]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2171,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6083_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13101,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2171]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13102,plain,
% 9.75/9.97 ( ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_13101]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2160,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1))
% 9.75/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6088_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13079,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1))
% 9.75/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2160]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13080,plain,
% 9.75/9.97 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1)) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_13079]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2157,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1))
% 9.75/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6089_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13073,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1))
% 9.75/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2157]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13074,plain,
% 9.75/9.97 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1)) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_13073]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2153,plain,
% 9.75/9.97 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.75/9.97 | X0 = X2
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6091_1) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13065,plain,
% 9.75/9.97 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.75/9.97 | X0 = X2
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2153]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13066,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)
% 9.75/9.97 | X2 = X1 ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_13065]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2151,plain,
% 9.75/9.97 ( X0 = X1
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6091_3) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13061,plain,
% 9.75/9.97 ( X0 = X1
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2151]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13062,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)
% 9.75/9.97 | X1 = X2 ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_13061]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2125,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6107_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13009,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2125]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13010,plain,
% 9.75/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_13009]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2124,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6107_3) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13007,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2124]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13008,plain,
% 9.75/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_13007]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2121,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6108_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13001,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2121]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13002,plain,
% 9.75/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_13001]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2120,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6108_3) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12999,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2120]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_13000,plain,
% 9.75/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12999]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2117,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6109_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12993,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2117]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12994,plain,
% 9.75/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12993]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2116,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6109_3) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12991,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2116]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12992,plain,
% 9.75/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12991]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2113,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6110_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12985,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2113]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12986,plain,
% 9.75/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12985]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2112,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6110_3) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12983,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2112]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12984,plain,
% 9.75/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12983]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2109,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6111_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12977,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2109]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12978,plain,
% 9.75/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12977]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2106,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6112_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12971,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2106]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12972,plain,
% 9.75/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12971]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2101,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6114_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12961,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2101]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12962,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12961]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2093,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 9.75/9.97 | ~ class_Orderings_Oorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 9.75/9.97 | ~ c_SEQ_Oincseq(X0,X1) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6117_3) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12945,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 9.75/9.97 | ~ class_Orderings_Oorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 9.75/9.97 | ~ c_SEQ_Oincseq(X0,X1) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2093]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12946,plain,
% 9.75/9.97 ( ~ class_Orderings_Oorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X3,X1)),hAPP(X3,X2)))
% 9.75/9.97 | ~ c_SEQ_Oincseq(X0,X3) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12945]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2089,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 9.75/9.97 | ~ class_Orderings_Oorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 9.75/9.97 | ~ c_SEQ_Odecseq(X0,X1) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6118_3) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12937,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 9.75/9.97 | ~ class_Orderings_Oorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 9.75/9.97 | ~ c_SEQ_Odecseq(X0,X1) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2089]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12938,plain,
% 9.75/9.97 ( ~ class_Orderings_Oorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X3,X2)),hAPP(X3,X1)))
% 9.75/9.97 | ~ c_SEQ_Odecseq(X0,X3) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12937]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2086,plain,
% 9.75/9.97 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 9.75/9.97 | hAPP(hAPP(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)
% 9.75/9.97 | ~ class_Rings_Olinordered__ring__strict(X1)
% 9.75/9.97 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6119_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12931,plain,
% 9.75/9.97 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 9.75/9.97 | hAPP(hAPP(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)
% 9.75/9.97 | ~ class_Rings_Olinordered__ring__strict(X1)
% 9.75/9.97 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2086]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12932,plain,
% 9.75/9.97 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.75/9.97 | hAPP(hAPP(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)
% 9.75/9.97 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 9.75/9.97 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12931]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2085,plain,
% 9.75/9.97 ( hAPP(hAPP(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)
% 9.75/9.97 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.75/9.97 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 9.75/9.97 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6119_3) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12929,plain,
% 9.75/9.97 ( hAPP(hAPP(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)
% 9.75/9.97 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.75/9.97 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 9.75/9.97 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2085]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12930,plain,
% 9.75/9.97 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.75/9.97 | hAPP(hAPP(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)
% 9.75/9.97 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 9.75/9.97 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12929]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2070,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6128_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12899,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2070]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12900,plain,
% 9.75/9.97 ( ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2)) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12899]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2021,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.75/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Osgn__class_Osgn(X0,X1))) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6147_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12801,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.75/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Osgn__class_Osgn(X0,X1))) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2021]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12802,plain,
% 9.75/9.97 ( ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Osgn__class_Osgn(X0,X1)))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12801]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2013,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6156_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12785,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2013]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12786,plain,
% 9.75/9.97 ( ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12785]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2008,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6158_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12775,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2008]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12776,plain,
% 9.75/9.97 ( ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12775]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2005,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6159_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12769,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2005]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12770,plain,
% 9.75/9.97 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12769]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2003,plain,
% 9.75/9.97 ( X0 != X1
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6160_1) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12765,plain,
% 9.75/9.97 ( X0 != X1
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2003]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12766,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)
% 9.75/9.97 | X2 != X1 ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12765]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_2001,plain,
% 9.75/9.97 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.75/9.97 | X0 != X2 ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6160_3) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12761,plain,
% 9.75/9.97 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.75/9.97 | X0 != X2 ),
% 9.75/9.97 inference(copy,[status(esa)],[c_2001]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12762,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.75/9.97 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)
% 9.75/9.97 | X1 != X2 ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12761]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1991,plain,
% 9.75/9.97 ( ~ class_Orderings_Oorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6163_1) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12741,plain,
% 9.75/9.97 ( ~ class_Orderings_Oorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1991]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12742,plain,
% 9.75/9.97 ( ~ class_Orderings_Oorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12741]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1989,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.75/9.97 | ~ class_Orderings_Oorder(X0) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6163_3) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12737,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.75/9.97 | ~ class_Orderings_Oorder(X0) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1989]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12738,plain,
% 9.75/9.97 ( ~ class_Orderings_Oorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12737]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1987,plain,
% 9.75/9.97 ( ~ class_Orderings_Opreorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6164_1) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12733,plain,
% 9.75/9.97 ( ~ class_Orderings_Opreorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1987]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12734,plain,
% 9.75/9.97 ( ~ class_Orderings_Opreorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2)) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12733]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1985,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.75/9.97 | ~ class_Orderings_Opreorder(X0) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6164_3) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12729,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.75/9.97 | ~ class_Orderings_Opreorder(X0) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1985]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12730,plain,
% 9.75/9.97 ( ~ class_Orderings_Opreorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1)) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12729]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1961,plain,
% 9.75/9.97 ( X0 = X1
% 9.75/9.97 | ~ class_Rings_Olinordered__semidom(X2)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2)),X3))
% 9.75/9.97 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6171_3) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12681,plain,
% 9.75/9.97 ( X0 = X1
% 9.75/9.97 | ~ class_Rings_Olinordered__semidom(X2)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2)),X3))
% 9.75/9.97 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1961]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12682,plain,
% 9.75/9.97 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.75/9.97 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 9.75/9.97 | X2 = X3 ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12681]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1958,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.75/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),X2)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6172_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12675,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.75/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),X2)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1958]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12676,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3))
% 9.75/9.97 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12675]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1956,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6173_1) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12671,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1956]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12672,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),X1))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1)) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12671]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1953,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),X1)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6174_1) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12665,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),X1)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1953]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12666,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)),X1))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12665]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1950,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6175_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12659,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1950]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12660,plain,
% 9.75/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12659]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1947,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6176_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12653,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1947]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12654,plain,
% 9.75/9.97 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12653]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1939,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),sk1_esk55_2(X1,X2)))
% 9.75/9.97 | ~ hBOOL(hAPP(X2,X0))
% 9.75/9.97 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.75/9.97 | ~ hBOOL(hAPP(X2,X1)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6180_1) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12637,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),sk1_esk55_2(X1,X2)))
% 9.75/9.97 | ~ hBOOL(hAPP(X2,X0))
% 9.75/9.97 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.75/9.97 | ~ hBOOL(hAPP(X2,X1)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1939]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12638,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),sk1_esk55_2(X1,X2)))
% 9.75/9.97 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.75/9.97 | ~ hBOOL(hAPP(X2,X0))
% 9.75/9.97 | ~ hBOOL(hAPP(X2,X1)) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12637]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1934,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Osgn__class_Osgn(X0,X1)))
% 9.75/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6181_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12627,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Osgn__class_Osgn(X0,X1)))
% 9.75/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1934]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12628,plain,
% 9.75/9.97 ( ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Osgn__class_Osgn(X0,X1)))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12627]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1926,plain,
% 9.75/9.97 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.75/9.97 | hAPP(hAPP(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)
% 9.75/9.97 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6186_1) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12611,plain,
% 9.75/9.97 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.75/9.97 | hAPP(hAPP(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)
% 9.75/9.97 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1926]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12612,plain,
% 9.75/9.97 ( hAPP(hAPP(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)
% 9.75/9.97 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.75/9.97 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12611]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1922,plain,
% 9.75/9.97 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X0)),c_Groups_Ozero__class_Ozero(X1))) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6188_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12603,plain,
% 9.75/9.97 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.75/9.97 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X0)),c_Groups_Ozero__class_Ozero(X1))) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1922]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12604,plain,
% 9.75/9.97 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12603]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1894,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.75/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6202_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12547,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.75/9.97 | ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1894]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12548,plain,
% 9.75/9.97 ( ~ class_Rings_Olinordered__idom(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12547]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1891,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.75/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6203_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12541,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)))
% 9.75/9.97 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1891]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12542,plain,
% 9.75/9.97 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12541]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1873,plain,
% 9.75/9.97 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.75/9.97 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6210_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12505,plain,
% 9.75/9.97 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.75/9.97 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1873]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12506,plain,
% 9.75/9.97 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.75/9.97 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12505]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1870,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.75/9.97 | ~ class_Orderings_Opreorder(X0) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6211_2) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12499,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.75/9.97 | ~ class_Orderings_Opreorder(X0) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1870]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12500,plain,
% 9.75/9.97 ( ~ class_Orderings_Opreorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2)) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12499]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1869,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.75/9.97 | ~ class_Orderings_Opreorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6211_3) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12497,plain,
% 9.75/9.97 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.75/9.97 | ~ class_Orderings_Opreorder(X0)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1869]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12498,plain,
% 9.75/9.97 ( ~ class_Orderings_Opreorder(X0)
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.75/9.97 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12497]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1853,plain,
% 9.75/9.97 ( c_Transcendental_Oln(X0) != c_Transcendental_Oln(X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.75/9.97 | X0 = X1
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6220_1) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12465,plain,
% 9.75/9.97 ( c_Transcendental_Oln(X0) != c_Transcendental_Oln(X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.75/9.97 | X0 = X1
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1853]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12466,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.75/9.97 | c_Transcendental_Oln(X1) != c_Transcendental_Oln(X0)
% 9.75/9.97 | X1 = X0 ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12465]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1851,plain,
% 9.75/9.97 ( X0 = X1
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.75/9.97 | c_Transcendental_Oln(X0) != c_Transcendental_Oln(X1) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6220_3) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12461,plain,
% 9.75/9.97 ( X0 = X1
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.75/9.97 | c_Transcendental_Oln(X0) != c_Transcendental_Oln(X1) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1851]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12462,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.75/9.97 | c_Transcendental_Oln(X0) != c_Transcendental_Oln(X1)
% 9.75/9.97 | X0 = X1 ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12461]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1839,plain,
% 9.75/9.97 ( X0 != X1
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.75/9.97 | c_Transcendental_Oln(X0) = c_Transcendental_Oln(X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6224_1) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12437,plain,
% 9.75/9.97 ( X0 != X1
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.75/9.97 | c_Transcendental_Oln(X0) = c_Transcendental_Oln(X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1839]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12438,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.75/9.97 | c_Transcendental_Oln(X1) = c_Transcendental_Oln(X0)
% 9.75/9.97 | X1 != X0 ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12437]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1837,plain,
% 9.75/9.97 ( c_Transcendental_Oln(X0) = c_Transcendental_Oln(X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.75/9.97 | X0 != X1 ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6224_3) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12433,plain,
% 9.75/9.97 ( c_Transcendental_Oln(X0) = c_Transcendental_Oln(X1)
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.75/9.97 | X0 != X1 ),
% 9.75/9.97 inference(copy,[status(esa)],[c_1837]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_12434,plain,
% 9.75/9.97 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.75/9.97 | c_Transcendental_Oln(X0) = c_Transcendental_Oln(X1)
% 9.75/9.97 | X0 != X1 ),
% 9.75/9.97 inference(rewriting,[status(thm)],[c_12433]) ).
% 9.75/9.97
% 9.75/9.97 cnf(c_1830,plain,
% 9.75/9.97 ( X0 = X1
% 9.75/9.97 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.75/9.97 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1) ),
% 9.75/9.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6227_2) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12419,plain,
% 9.75/9.98 ( X0 = X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.75/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1830]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12420,plain,
% 9.75/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.75/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 9.75/9.98 | X1 = X2 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12419]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1824,plain,
% 9.75/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 9.75/9.98 | ~ class_Rings_Olinordered__semidom(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.75/9.98 | X2 != X3 ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6231_3) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12407,plain,
% 9.75/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 9.75/9.98 | ~ class_Rings_Olinordered__semidom(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.75/9.98 | X2 != X3 ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1824]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12408,plain,
% 9.75/9.98 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.75/9.98 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 9.75/9.98 | X2 != X3 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12407]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1808,plain,
% 9.75/9.98 ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = X0
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6240_1) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12375,plain,
% 9.75/9.98 ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = X0
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1808]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12376,plain,
% 9.75/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.75/9.98 | c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X0 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12375]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1776,plain,
% 9.75/9.98 ( ~ class_Orderings_Opreorder(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6252_2) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12311,plain,
% 9.75/9.98 ( ~ class_Orderings_Opreorder(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1776]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12312,plain,
% 9.75/9.98 ( ~ class_Orderings_Opreorder(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12311]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1747,plain,
% 9.75/9.98 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.75/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oabs__class_Oabs(X0,X1))) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6262_2) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12253,plain,
% 9.75/9.98 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.75/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oabs__class_Oabs(X0,X1))) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1747]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12254,plain,
% 9.75/9.98 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oabs__class_Oabs(X0,X1)))
% 9.75/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12253]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1744,plain,
% 9.75/9.98 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk55_2(X1,X0)),X1))
% 9.75/9.98 | ~ hBOOL(hAPP(X0,X1)) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6263_2) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12247,plain,
% 9.75/9.98 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk55_2(X1,X0)),X1))
% 9.75/9.98 | ~ hBOOL(hAPP(X0,X1)) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1744]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12248,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk55_2(X0,X1)),X0))
% 9.75/9.98 | hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.75/9.98 | ~ hBOOL(hAPP(X1,X0)) ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12247]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1739,plain,
% 9.75/9.98 ( X0 = X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1))) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6265_2) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12237,plain,
% 9.75/9.98 ( X0 = X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1))) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1739]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12238,plain,
% 9.75/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X0)))
% 9.75/9.98 | X1 = X0 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12237]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1706,plain,
% 9.75/9.98 ( X0 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 9.75/9.98 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != X1 ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6283_2) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12171,plain,
% 9.75/9.98 ( X0 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 9.75/9.98 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != X1 ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1706]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12172,plain,
% 9.75/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.75/9.98 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != X2
% 9.75/9.98 | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0) ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12171]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1697,plain,
% 9.75/9.98 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = X2
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.75/9.98 | X0 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6288_2) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12153,plain,
% 9.75/9.98 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = X2
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.75/9.98 | X0 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1697]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12154,plain,
% 9.75/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.75/9.98 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) = X2
% 9.75/9.98 | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0) ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12153]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1690,plain,
% 9.75/9.98 ( X0 = X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6291_2) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12139,plain,
% 9.75/9.98 ( X0 = X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1690]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12140,plain,
% 9.75/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0))
% 9.75/9.98 | X1 = X0 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12139]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1687,plain,
% 9.75/9.98 ( X0 = X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6292_2) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12133,plain,
% 9.75/9.98 ( X0 = X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1687]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12134,plain,
% 9.75/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.75/9.98 | X1 = X0 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12133]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1684,plain,
% 9.75/9.98 ( X0 = X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6293_2) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12127,plain,
% 9.75/9.98 ( X0 = X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1684]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12128,plain,
% 9.75/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
% 9.75/9.98 | X1 = X0 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12127]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1671,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0))
% 9.75/9.98 | X1 = X0
% 9.75/9.98 | hBOOL(hAPP(hAPP(X2,X0),X1)) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6299_2) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12101,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0))
% 9.75/9.98 | X1 = X0
% 9.75/9.98 | hBOOL(hAPP(hAPP(X2,X0),X1)) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1671]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12102,plain,
% 9.75/9.98 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1))
% 9.75/9.98 | X2 = X1 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12101]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1670,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.75/9.98 | X0 = X1
% 9.75/9.98 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6299_3) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12099,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.75/9.98 | X0 = X1
% 9.75/9.98 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1670]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12100,plain,
% 9.75/9.98 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.75/9.98 | X2 = X1 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12099]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1665,plain,
% 9.75/9.98 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.75/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,X1))) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6301_2) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12089,plain,
% 9.75/9.98 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.75/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,X1))) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1665]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12090,plain,
% 9.75/9.98 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,X1)))
% 9.75/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12089]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1635,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),X1))
% 9.75/9.98 | c_Nat_OSuc(X0) = X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6315_2) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12029,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),X1))
% 9.75/9.98 | c_Nat_OSuc(X0) = X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1635]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12030,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),X1))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.75/9.98 | c_Nat_OSuc(X0) = X1 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12029]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1633,plain,
% 9.75/9.98 ( X0 != X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,X0),X1))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,X1),X0))
% 9.75/9.98 | ~ class_Orderings_Olinorder(X2) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6316_1) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12025,plain,
% 9.75/9.98 ( X0 != X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,X0),X1))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,X1),X0))
% 9.75/9.98 | ~ class_Orderings_Olinorder(X2) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1633]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12026,plain,
% 9.75/9.98 ( ~ class_Orderings_Olinorder(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.75/9.98 | X1 != X2 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12025]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1631,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.98 | ~ class_Orderings_Olinorder(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.75/9.98 | X2 != X1 ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6316_3) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12021,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.98 | ~ class_Orderings_Olinorder(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.75/9.98 | X2 != X1 ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1631]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12022,plain,
% 9.75/9.98 ( ~ class_Orderings_Olinorder(X0)
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.75/9.98 | X2 != X1 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12021]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1630,plain,
% 9.75/9.98 ( ~ class_Orderings_Oord(X0)
% 9.75/9.98 | X1 != X2
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6317_0) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12019,plain,
% 9.75/9.98 ( ~ class_Orderings_Oord(X0)
% 9.75/9.98 | X1 != X2
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1630]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12020,plain,
% 9.75/9.98 ( ~ class_Orderings_Oord(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.75/9.98 | X3 != X1 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12019]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1626,plain,
% 9.75/9.98 ( ~ class_Orderings_Oorder(X0)
% 9.75/9.98 | X1 != X2
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1)) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6318_0) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12011,plain,
% 9.75/9.98 ( ~ class_Orderings_Oorder(X0)
% 9.75/9.98 | X1 != X2
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1)) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1626]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_12012,plain,
% 9.75/9.98 ( ~ class_Orderings_Oorder(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.75/9.98 | X3 != X2 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_12011]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1619,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.98 | X3 != X2
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.75/9.98 | ~ class_Orderings_Oord(X0) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6319_3) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_11997,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.98 | X3 != X2
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.75/9.98 | ~ class_Orderings_Oord(X0) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1619]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_11998,plain,
% 9.75/9.98 ( ~ class_Orderings_Oord(X0)
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.75/9.98 | X3 != X2 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_11997]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1615,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.98 | X3 != X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.75/9.98 | ~ class_Orderings_Oorder(X0) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6320_3) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_11989,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.98 | X3 != X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.75/9.98 | ~ class_Orderings_Oorder(X0) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1615]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_11990,plain,
% 9.75/9.98 ( ~ class_Orderings_Oorder(X0)
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.75/9.98 | X3 != X1 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_11989]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1611,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.98 | X3 != X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.75/9.98 | ~ class_Orderings_Oorder(X0) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6321_3) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_11981,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.98 | X3 != X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.75/9.98 | ~ class_Orderings_Oorder(X0) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1611]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_11982,plain,
% 9.75/9.98 ( ~ class_Orderings_Oorder(X0)
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.75/9.98 | X3 != X1 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_11981]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1607,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.98 | X3 != X2
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.75/9.98 | ~ class_Orderings_Oord(X0) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6322_3) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_11973,plain,
% 9.75/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.98 | X3 != X2
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.75/9.98 | ~ class_Orderings_Oord(X0) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1607]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_11974,plain,
% 9.75/9.98 ( ~ class_Orderings_Oord(X0)
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.75/9.98 | X3 != X2 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_11973]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1606,plain,
% 9.75/9.98 ( ~ class_Orderings_Oorder(X0)
% 9.75/9.98 | X1 != X2
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1)) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6323_0) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_11971,plain,
% 9.75/9.98 ( ~ class_Orderings_Oorder(X0)
% 9.75/9.98 | X1 != X2
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1)) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1606]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_11972,plain,
% 9.75/9.98 ( ~ class_Orderings_Oorder(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.75/9.98 | X3 != X2 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_11971]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1602,plain,
% 9.75/9.98 ( ~ class_Orderings_Oord(X0)
% 9.75/9.98 | X1 != X2
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6324_0) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_11963,plain,
% 9.75/9.98 ( ~ class_Orderings_Oord(X0)
% 9.75/9.98 | X1 != X2
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1602]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_11964,plain,
% 9.75/9.98 ( ~ class_Orderings_Oord(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.75/9.98 | X3 != X1 ),
% 9.75/9.98 inference(rewriting,[status(thm)],[c_11963]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_1597,plain,
% 9.75/9.98 ( X0 != X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X1),X0))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X0),X1))
% 9.75/9.98 | ~ class_Orderings_Oorder(X2) ),
% 9.75/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6325_1) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_11953,plain,
% 9.75/9.98 ( X0 != X1
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X1),X0))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X0),X1))
% 9.75/9.98 | ~ class_Orderings_Oorder(X2) ),
% 9.75/9.98 inference(copy,[status(esa)],[c_1597]) ).
% 9.75/9.98
% 9.75/9.98 cnf(c_11954,plain,
% 9.75/9.98 ( ~ class_Orderings_Oorder(X0)
% 9.75/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.75/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.75/9.98 | X2 != X1 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11953]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1595,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | ~ class_Orderings_Oorder(X0)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6325_3) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11949,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | ~ class_Orderings_Oorder(X0)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1595]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11950,plain,
% 9.77/9.98 ( ~ class_Orderings_Oorder(X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11949]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1565,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.77/9.98 | X1 = X2
% 9.77/9.98 | ~ class_Orderings_Olinorder(X0)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6333_3) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11889,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.77/9.98 | X1 = X2
% 9.77/9.98 | ~ class_Orderings_Olinorder(X0)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1565]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11890,plain,
% 9.77/9.98 ( ~ class_Orderings_Olinorder(X0)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.77/9.98 | X1 = X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11889]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1540,plain,
% 9.77/9.98 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6343_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11839,plain,
% 9.77/9.98 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1540]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11840,plain,
% 9.77/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | X0 = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11839]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1537,plain,
% 9.77/9.98 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6344_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11833,plain,
% 9.77/9.98 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1537]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11834,plain,
% 9.77/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | X1 = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11833]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1525,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | ~ class_Orderings_Oorder(X0)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2)) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6348_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11809,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | ~ class_Orderings_Oorder(X0)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2)) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1525]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11810,plain,
% 9.77/9.98 ( ~ class_Orderings_Oorder(X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2)) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11809]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1508,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/9.98 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6364_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11775,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/9.98 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1508]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11776,plain,
% 9.77/9.98 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11775]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1505,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.77/9.98 | X0 != X1 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6366_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11769,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.77/9.98 | X0 != X1 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1505]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11770,plain,
% 9.77/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X0)))
% 9.77/9.98 | X1 != X0 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11769]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1492,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6372_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11743,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1492]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11744,plain,
% 9.77/9.98 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11743]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1489,plain,
% 9.77/9.98 ( X0 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6373_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11737,plain,
% 9.77/9.98 ( X0 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1489]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11738,plain,
% 9.77/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11737]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1488,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6373_3) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11735,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1488]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11736,plain,
% 9.77/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.77/9.98 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11735]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1484,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X1,X0) = c_Groups_Oone__class_Oone(X1)
% 9.77/9.98 | ~ class_Groups_Osgn__if(X1)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X0)) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6374_3) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11727,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X1,X0) = c_Groups_Oone__class_Oone(X1)
% 9.77/9.98 | ~ class_Groups_Osgn__if(X1)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X0)) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1484]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11728,plain,
% 9.77/9.98 ( ~ class_Groups_Osgn__if(X0)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Oone__class_Oone(X0)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11727]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1440,plain,
% 9.77/9.98 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 9.77/9.98 | X0 = X2
% 9.77/9.98 | ~ class_Rings_Oidom(X1)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6391_3) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11639,plain,
% 9.77/9.98 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 9.77/9.98 | X0 = X2
% 9.77/9.98 | ~ class_Rings_Oidom(X1)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1440]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11640,plain,
% 9.77/9.98 ( ~ class_Rings_Oidom(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 9.77/9.98 | X1 = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 9.77/9.98 | X1 = X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11639]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1414,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1)
% 9.77/9.98 | ~ class_Groups_Oabs__if(X0)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6405_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11587,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1)
% 9.77/9.98 | ~ class_Groups_Oabs__if(X0)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1414]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11588,plain,
% 9.77/9.98 ( ~ class_Groups_Oabs__if(X0)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11587]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1398,plain,
% 9.77/9.98 ( X0 != X1
% 9.77/9.98 | X2 = X3
% 9.77/9.98 | ~ class_Groups_Oab__group__add(X4)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X4,X0,X1) != c_Groups_Ominus__class_Ominus(X4,X2,X3) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6414_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11555,plain,
% 9.77/9.98 ( X0 != X1
% 9.77/9.98 | X2 = X3
% 9.77/9.98 | ~ class_Groups_Oab__group__add(X4)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X4,X0,X1) != c_Groups_Ominus__class_Ominus(X4,X2,X3) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1398]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11556,plain,
% 9.77/9.98 ( ~ class_Groups_Oab__group__add(X0)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 9.77/9.98 | X1 != X2
% 9.77/9.98 | X3 = X4 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11555]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1397,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | ~ class_Groups_Oab__group__add(X2)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X2,X3,X4) != c_Groups_Ominus__class_Ominus(X2,X0,X1)
% 9.77/9.98 | X3 != X4 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6414_3) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11553,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | ~ class_Groups_Oab__group__add(X2)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X2,X3,X4) != c_Groups_Ominus__class_Ominus(X2,X0,X1)
% 9.77/9.98 | X3 != X4 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1397]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11554,plain,
% 9.77/9.98 ( ~ class_Groups_Oab__group__add(X0)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 9.77/9.98 | X3 = X4
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11553]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1394,plain,
% 9.77/9.98 ( X0 != X1
% 9.77/9.98 | X2 = X3
% 9.77/9.98 | ~ class_Groups_Oab__group__add(X4)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X4,X2,X3) != c_Groups_Ominus__class_Ominus(X4,X0,X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6415_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11547,plain,
% 9.77/9.98 ( X0 != X1
% 9.77/9.98 | X2 = X3
% 9.77/9.98 | ~ class_Groups_Oab__group__add(X4)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X4,X2,X3) != c_Groups_Ominus__class_Ominus(X4,X0,X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1394]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11548,plain,
% 9.77/9.98 ( ~ class_Groups_Oab__group__add(X0)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 9.77/9.98 | X3 != X4
% 9.77/9.98 | X1 = X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11547]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1393,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | ~ class_Groups_Oab__group__add(X2)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ominus__class_Ominus(X2,X3,X4)
% 9.77/9.98 | X3 != X4 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6415_3) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11545,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | ~ class_Groups_Oab__group__add(X2)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ominus__class_Ominus(X2,X3,X4)
% 9.77/9.98 | X3 != X4 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1393]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11546,plain,
% 9.77/9.98 ( ~ class_Groups_Oab__group__add(X0)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 9.77/9.98 | X1 = X2
% 9.77/9.98 | X3 != X4 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11545]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1380,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6421_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11519,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1380]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11520,plain,
% 9.77/9.98 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | X1 = X0 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11519]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1372,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | ~ class_Orderings_Olinorder(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6424_3) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11503,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | ~ class_Orderings_Olinorder(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1372]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11504,plain,
% 9.77/9.98 ( ~ class_Orderings_Olinorder(X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11503]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1351,plain,
% 9.77/9.98 ( ~ class_Rings_Olinordered__idom(X0)
% 9.77/9.98 | X1 = X2
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6430_0) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11461,plain,
% 9.77/9.98 ( ~ class_Rings_Olinordered__idom(X0)
% 9.77/9.98 | X1 = X2
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1351]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11462,plain,
% 9.77/9.98 ( ~ class_Rings_Olinordered__idom(X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.77/9.98 | X1 = X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11461]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1302,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk42_2(X0,X1)))
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.77/9.98 | ~ c_SEQ_OBseq(X1,X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6445_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11363,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk42_2(X0,X1)))
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.77/9.98 | ~ c_SEQ_OBseq(X1,X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1302]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11364,plain,
% 9.77/9.98 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk42_2(X1,X0)))
% 9.77/9.98 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11363]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1299,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk29_2(X0,X1)))
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.77/9.98 | ~ c_SEQ_OBseq(X1,X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6446_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11357,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk29_2(X0,X1)))
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.77/9.98 | ~ c_SEQ_OBseq(X1,X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1299]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11358,plain,
% 9.77/9.98 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk29_2(X1,X0)))
% 9.77/9.98 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11357]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1296,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk26_2(X0,X1)))
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.77/9.98 | ~ c_SEQ_OBseq(X1,X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6447_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11351,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk26_2(X0,X1)))
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.77/9.98 | ~ c_SEQ_OBseq(X1,X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1296]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11352,plain,
% 9.77/9.98 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk26_2(X1,X0)))
% 9.77/9.98 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11351]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1293,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk19_2(X0,X1)))
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.77/9.98 | ~ c_SEQ_OBseq(X1,X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6448_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11345,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk19_2(X0,X1)))
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.77/9.98 | ~ c_SEQ_OBseq(X1,X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1293]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11346,plain,
% 9.77/9.98 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk19_2(X1,X0)))
% 9.77/9.98 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11345]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1290,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.77/9.98 | X0 != X1 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6449_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11339,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.77/9.98 | X0 != X1 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1290]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11340,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/9.98 | X0 != X1 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11339]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1285,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/9.98 | ~ class_Rings_Olinordered__idom(X0)
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X0,X1) != hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6451_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11329,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/9.98 | ~ class_Rings_Olinordered__idom(X0)
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X0,X1) != hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1285]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11330,plain,
% 9.77/9.98 ( ~ class_Rings_Olinordered__idom(X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X0,X1) != hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11329]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1266,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6459_1) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11291,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1266]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11292,plain,
% 9.77/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11291]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1254,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.77/9.98 | X1 = X0
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X0)) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6464_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11267,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.77/9.98 | X1 = X0
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X0)) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1254]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11268,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X0))
% 9.77/9.98 | X1 = X0 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11267]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1250,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6466_0) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11259,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1250]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11260,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0))
% 9.77/9.98 | X0 = X1 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11259]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1243,plain,
% 9.77/9.98 ( X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.77/9.98 | c_Transcendental_Oln(X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6468_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11245,plain,
% 9.77/9.98 ( X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.77/9.98 | c_Transcendental_Oln(X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1243]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11246,plain,
% 9.77/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.77/9.98 | c_Transcendental_Oln(X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11245]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1223,plain,
% 9.77/9.98 ( c_Transcendental_Oln(X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.77/9.98 | X0 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6477_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11205,plain,
% 9.77/9.98 ( c_Transcendental_Oln(X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.77/9.98 | X0 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1223]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11206,plain,
% 9.77/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.77/9.98 | c_Transcendental_Oln(X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | X0 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11205]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1187,plain,
% 9.77/9.98 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk14_1(X0)),sk1_esk15_1(X0)))
% 9.77/9.98 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6494_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11133,plain,
% 9.77/9.98 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk14_1(X0)),sk1_esk15_1(X0)))
% 9.77/9.98 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1187]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11134,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk14_1(X0)),sk1_esk15_1(X0)))
% 9.77/9.98 | c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 9.77/9.98 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11133]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1184,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 9.77/9.98 | ~ class_Rings_Oidom(X0)
% 9.77/9.98 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6496_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11127,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 9.77/9.98 | ~ class_Rings_Oidom(X0)
% 9.77/9.98 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1184]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11128,plain,
% 9.77/9.98 ( ~ class_Rings_Oidom(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 9.77/9.98 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11127]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1179,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/9.98 | ~ class_Rings_Olinordered__idom(X0)
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Oone__class_Oone(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6501_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11117,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/9.98 | ~ class_Rings_Olinordered__idom(X0)
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Oone__class_Oone(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1179]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11118,plain,
% 9.77/9.98 ( ~ class_Rings_Olinordered__idom(X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Oone__class_Oone(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11117]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1168,plain,
% 9.77/9.98 ( ~ class_Orderings_Olinorder(X0)
% 9.77/9.98 | X1 != X2
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6506_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11095,plain,
% 9.77/9.98 ( ~ class_Orderings_Olinorder(X0)
% 9.77/9.98 | X1 != X2
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1168]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11096,plain,
% 9.77/9.98 ( ~ class_Orderings_Olinorder(X0)
% 9.77/9.98 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.77/9.98 | X2 != X1 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11095]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1134,plain,
% 9.77/9.98 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))
% 9.77/9.98 | X0 = c_Groups_Oone__class_Oone(X1)
% 9.77/9.98 | ~ class_Rings_Oring__1__no__zero__divisors(X1)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != c_Groups_Oone__class_Oone(X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6529_3) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11027,plain,
% 9.77/9.98 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))
% 9.77/9.98 | X0 = c_Groups_Oone__class_Oone(X1)
% 9.77/9.98 | ~ class_Rings_Oring__1__no__zero__divisors(X1)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != c_Groups_Oone__class_Oone(X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1134]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_11028,plain,
% 9.77/9.98 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) != c_Groups_Oone__class_Oone(X0)
% 9.77/9.98 | X1 = c_Groups_Oone__class_Oone(X0)
% 9.77/9.98 | X1 = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_11027]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1095,plain,
% 9.77/9.98 ( ~ class_Rings_Ozero__neq__one(X0)
% 9.77/9.98 | ~ class_Rings_Ono__zero__divisors(X0)
% 9.77/9.98 | ~ class_Rings_Omult__zero(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0)
% 9.77/9.98 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6546_5) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10949,plain,
% 9.77/9.98 ( ~ class_Rings_Ozero__neq__one(X0)
% 9.77/9.98 | ~ class_Rings_Ono__zero__divisors(X0)
% 9.77/9.98 | ~ class_Rings_Omult__zero(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0)
% 9.77/9.98 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1095]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10950,plain,
% 9.77/9.98 ( ~ class_Rings_Ono__zero__divisors(X0)
% 9.77/9.98 | ~ class_Rings_Ozero__neq__one(X0)
% 9.77/9.98 | ~ class_Rings_Omult__zero(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0)
% 9.77/9.98 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10949]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1089,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Rings_Ozero__neq__one(X1)
% 9.77/9.98 | ~ class_Rings_Ono__zero__divisors(X1)
% 9.77/9.98 | ~ class_Rings_Omult__zero(X1)
% 9.77/9.98 | ~ class_Power_Opower(X1)
% 9.77/9.98 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6547_5) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10937,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Rings_Ozero__neq__one(X1)
% 9.77/9.98 | ~ class_Rings_Ono__zero__divisors(X1)
% 9.77/9.98 | ~ class_Rings_Omult__zero(X1)
% 9.77/9.98 | ~ class_Power_Opower(X1)
% 9.77/9.98 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1089]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10938,plain,
% 9.77/9.98 ( ~ class_Rings_Ono__zero__divisors(X0)
% 9.77/9.98 | ~ class_Rings_Ozero__neq__one(X0)
% 9.77/9.98 | ~ class_Rings_Omult__zero(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0)
% 9.77/9.98 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10937]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1082,plain,
% 9.77/9.98 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X1)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6556_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10923,plain,
% 9.77/9.98 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X1)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1082]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10924,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10923]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1079,plain,
% 9.77/9.98 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X1)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6557_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10917,plain,
% 9.77/9.98 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X1)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1079]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10918,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X2 = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10917]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1070,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 9.77/9.98 | ~ class_Rings_Oidom(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6560_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10899,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 9.77/9.98 | ~ class_Rings_Oidom(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1070]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10900,plain,
% 9.77/9.98 ( ~ class_Rings_Oidom(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10899]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1067,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)
% 9.77/9.98 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 9.77/9.98 | X2 != X3 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6561_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10893,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)
% 9.77/9.98 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 9.77/9.98 | X2 != X3 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1067]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10894,plain,
% 9.77/9.98 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)
% 9.77/9.98 | X2 != X3 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10893]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1064,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)
% 9.77/9.98 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 9.77/9.98 | X1 != X3 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6562_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10887,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)
% 9.77/9.98 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 9.77/9.98 | X1 != X3 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1064]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10888,plain,
% 9.77/9.98 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)
% 9.77/9.98 | X1 != X3 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10887]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1053,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 9.77/9.98 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 9.77/9.98 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6569_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10865,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 9.77/9.98 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 9.77/9.98 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1053]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10866,plain,
% 9.77/9.98 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 9.77/9.98 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10865]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1044,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6572_0) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10847,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1044]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10848,plain,
% 9.77/9.98 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10847]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1041,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Rings_Oring__no__zero__divisors(X1)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6572_3) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10841,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Rings_Oring__no__zero__divisors(X1)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1041]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10842,plain,
% 9.77/9.98 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10841]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1036,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | ~ class_Groups_Oab__group__add(X2)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6574_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10831,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | ~ class_Groups_Oab__group__add(X2)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1036]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10832,plain,
% 9.77/9.98 ( ~ class_Groups_Oab__group__add(X0)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 = X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10831]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1033,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X2)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6575_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10825,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X2)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1033]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10826,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 = X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10825]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1022,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6579_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10803,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1022]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10804,plain,
% 9.77/9.98 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10803]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1017,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6584_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10793,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1017]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10794,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | X0 != X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10793]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_1014,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6585_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10787,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_1014]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10788,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 9.77/9.98 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10787]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_999,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | ~ class_Rings_Ozero__neq__one(X0)
% 9.77/9.98 | ~ class_Rings_Ono__zero__divisors(X0)
% 9.77/9.98 | ~ class_Rings_Omult__zero(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6590_6) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10757,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | ~ class_Rings_Ozero__neq__one(X0)
% 9.77/9.98 | ~ class_Rings_Ono__zero__divisors(X0)
% 9.77/9.98 | ~ class_Rings_Omult__zero(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_999]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10758,plain,
% 9.77/9.98 ( ~ class_Rings_Ono__zero__divisors(X0)
% 9.77/9.98 | ~ class_Rings_Ozero__neq__one(X0)
% 9.77/9.98 | ~ class_Rings_Omult__zero(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0)
% 9.77/9.98 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10757]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_996,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6591_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10751,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_996]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10752,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10751]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_993,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | X2 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6592_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10745,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | X2 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_993]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10746,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X2 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10745]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_990,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X0) != X2 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6593_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10739,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X0) != X2 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_990]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10740,plain,
% 9.77/9.98 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != X1
% 9.77/9.98 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10739]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_987,plain,
% 9.77/9.98 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6594_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10733,plain,
% 9.77/9.98 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_987]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10734,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10733]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_981,plain,
% 9.77/9.98 ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = X0
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6597_1) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10721,plain,
% 9.77/9.98 ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = X0
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_981]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10722,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.77/9.98 | c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = X0 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10721]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_960,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | ~ class_Orderings_Oorder(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6609_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10679,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | ~ class_Orderings_Oorder(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_960]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10680,plain,
% 9.77/9.98 ( ~ class_Orderings_Oorder(X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10679]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_957,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | ~ class_Orderings_Oorder(X0)
% 9.77/9.98 | X2 != X1 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6610_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10673,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | ~ class_Orderings_Oorder(X0)
% 9.77/9.98 | X2 != X1 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_957]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10674,plain,
% 9.77/9.98 ( ~ class_Orderings_Oorder(X0)
% 9.77/9.98 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.98 | X2 != X1 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10673]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_944,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),c_Nat_OSuc(X1)) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Rings_Osemiring__0(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6621_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10647,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),c_Nat_OSuc(X1)) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Rings_Osemiring__0(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_944]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10648,plain,
% 9.77/9.98 ( ~ class_Rings_Osemiring__0(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0)
% 9.77/9.98 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),c_Nat_OSuc(X1)) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10647]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_940,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 9.77/9.98 | ~ class_Rings_Osemiring__0(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6622_3) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10639,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 9.77/9.98 | ~ class_Rings_Osemiring__0(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_940]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10640,plain,
% 9.77/9.98 ( ~ class_Rings_Osemiring__0(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0)
% 9.77/9.98 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10639]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_932,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | ~ class_Rings_Osemiring__0(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6628_3) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10623,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | ~ class_Rings_Osemiring__0(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_932]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10624,plain,
% 9.77/9.98 ( ~ class_Rings_Osemiring__0(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0)
% 9.77/9.98 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10623]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_875,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | ~ class_Lattices_Oboolean__algebra(X2)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X2),X0) != hAPP(c_Groups_Ouminus__class_Ouminus(X2),X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6670_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10509,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | ~ class_Lattices_Oboolean__algebra(X2)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X2),X0) != hAPP(c_Groups_Ouminus__class_Ouminus(X2),X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_875]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10510,plain,
% 9.77/9.98 ( ~ class_Lattices_Oboolean__algebra(X0)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 9.77/9.98 | X1 = X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10509]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_872,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X2)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X2),X0) != hAPP(c_Groups_Ouminus__class_Ouminus(X2),X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6671_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10503,plain,
% 9.77/9.98 ( X0 = X1
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X2)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X2),X0) != hAPP(c_Groups_Ouminus__class_Ouminus(X2),X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_872]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10504,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 9.77/9.98 | X1 = X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10503]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_857,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 9.77/9.98 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6678_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10473,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 9.77/9.98 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_857]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10474,plain,
% 9.77/9.98 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10473]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_854,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6679_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10467,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_854]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10468,plain,
% 9.77/9.98 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10467]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_851,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 9.77/9.98 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6680_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10461,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 9.77/9.98 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_851]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10462,plain,
% 9.77/9.98 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10461]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_845,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6682_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10449,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_845]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10450,plain,
% 9.77/9.98 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10449]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_834,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Oone__class_Oone(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0)
% 9.77/9.98 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6687_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10427,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Oone__class_Oone(X0)
% 9.77/9.98 | ~ class_Power_Opower(X0)
% 9.77/9.98 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_834]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10428,plain,
% 9.77/9.98 ( ~ class_Power_Opower(X0)
% 9.77/9.98 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Oone__class_Oone(X0)
% 9.77/9.98 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10427]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_831,plain,
% 9.77/9.98 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Oab__group__add(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6688_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10421,plain,
% 9.77/9.98 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Oab__group__add(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_831]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10422,plain,
% 9.77/9.98 ( ~ class_Groups_Oab__group__add(X0)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10421]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_828,plain,
% 9.77/9.98 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6689_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10415,plain,
% 9.77/9.98 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_828]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10416,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10415]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_823,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = X1
% 9.77/9.98 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.77/9.98 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6691_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10405,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = X1
% 9.77/9.98 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.77/9.98 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_823]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10406,plain,
% 9.77/9.98 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = X1
% 9.77/9.98 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10405]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_801,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 9.77/9.98 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6702_1) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10361,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 9.77/9.98 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_801]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10362,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.77/9.98 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10361]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_790,plain,
% 9.77/9.98 ( X0 != hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 9.77/9.98 | X2 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6707_1) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10339,plain,
% 9.77/9.98 ( X0 != hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 9.77/9.98 | X2 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_790]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10340,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 9.77/9.98 | X2 = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10339]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_789,plain,
% 9.77/9.98 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X1)
% 9.77/9.98 | X2 != hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6707_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10337,plain,
% 9.77/9.98 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X1)
% 9.77/9.98 | X2 != hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_789]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10338,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | X1 = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 9.77/9.98 | X2 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10337]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_784,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != X2
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) = X1
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6709_1) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10327,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != X2
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) = X1
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_784]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10328,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != X2
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) = X1 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10327]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_783,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X2
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) != X1 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6709_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10325,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X2
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) != X1 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_783]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10326,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X2
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) != X1 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10325]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_774,plain,
% 9.77/9.98 ( X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6715_1) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10307,plain,
% 9.77/9.98 ( X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_774]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10308,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.77/9.98 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10307]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_771,plain,
% 9.77/9.98 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6716_1) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10301,plain,
% 9.77/9.98 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_771]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10302,plain,
% 9.77/9.98 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10301]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_764,plain,
% 9.77/9.98 ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6719_1) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10287,plain,
% 9.77/9.98 ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_764]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10288,plain,
% 9.77/9.98 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10287]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_759,plain,
% 9.77/9.98 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6722_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10277,plain,
% 9.77/9.98 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_759]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10278,plain,
% 9.77/9.98 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10277]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_745,plain,
% 9.77/9.98 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 9.77/9.98 | ~ c_SEQ_Omonoseq(tc_RealDef_Oreal,X0)
% 9.77/9.98 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6732_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10249,plain,
% 9.77/9.98 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 9.77/9.98 | ~ c_SEQ_Omonoseq(tc_RealDef_Oreal,X0)
% 9.77/9.98 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_745]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10250,plain,
% 9.77/9.98 ( ~ c_SEQ_Omonoseq(tc_RealDef_Oreal,X0)
% 9.77/9.98 | c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 9.77/9.98 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10249]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_742,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 9.77/9.98 | ~ class_Lattices_Oboolean__algebra(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6740_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10243,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 9.77/9.98 | ~ class_Lattices_Oboolean__algebra(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_742]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10244,plain,
% 9.77/9.98 ( ~ class_Lattices_Oboolean__algebra(X0)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10243]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_739,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6741_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10237,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_739]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10238,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 9.77/9.98 | X1 != X2 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10237]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_736,plain,
% 9.77/9.98 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6743_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10231,plain,
% 9.77/9.98 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_736]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10232,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | c_Groups_Ozero__class_Ozero(X0) = X1
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10231]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_733,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X1)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6744_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10225,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X1)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_733]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10226,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10225]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_723,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0) != X0 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6759_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10205,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0) != X0 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_723]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10206,plain,
% 9.77/9.98 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != X1
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10205]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_720,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 9.77/9.98 | ~ class_Groups_Ozero(X1)
% 9.77/9.98 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6760_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10199,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 9.77/9.98 | ~ class_Groups_Ozero(X1)
% 9.77/9.98 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_720]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10200,plain,
% 9.77/9.98 ( ~ class_Groups_Ozero(X0)
% 9.77/9.98 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10199]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_702,plain,
% 9.77/9.98 ( c_SEQ_OCauchy(X0,X1)
% 9.77/9.98 | ~ class_SEQ_Ocomplete__space(X0)
% 9.77/9.98 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6766_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10163,plain,
% 9.77/9.98 ( c_SEQ_OCauchy(X0,X1)
% 9.77/9.98 | ~ class_SEQ_Ocomplete__space(X0)
% 9.77/9.98 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_702]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10164,plain,
% 9.77/9.98 ( ~ class_SEQ_Ocomplete__space(X0)
% 9.77/9.98 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.77/9.98 | c_SEQ_OCauchy(X0,X1) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10163]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_696,plain,
% 9.77/9.98 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | ~ class_Groups_Ozero(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6768_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10151,plain,
% 9.77/9.98 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | ~ class_Groups_Ozero(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_696]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10152,plain,
% 9.77/9.98 ( ~ class_Groups_Ozero(X0)
% 9.77/9.98 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10151]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_689,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6771_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10137,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_689]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10138,plain,
% 9.77/9.98 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10137]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_686,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Rings_Olinordered__idom(X1)
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6772_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10131,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Rings_Olinordered__idom(X1)
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_686]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10132,plain,
% 9.77/9.98 ( ~ class_Rings_Olinordered__idom(X0)
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10131]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_683,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 9.77/9.98 | c_Groups_Oabs__class_Oabs(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6773_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10125,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 9.77/9.98 | c_Groups_Oabs__class_Oabs(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_683]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10126,plain,
% 9.77/9.98 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.77/9.98 | c_Groups_Oabs__class_Oabs(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10125]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_680,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | c_Groups_Ozero__class_Ozero(X0) != X1 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6775_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10119,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | c_Groups_Ozero__class_Ozero(X0) != X1 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_680]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10120,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | c_Groups_Ozero__class_Ozero(X0) != X1
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10119]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_677,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6776_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10113,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_677]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10114,plain,
% 9.77/9.98 ( ~ class_Groups_Ogroup__add(X0)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10113]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_674,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.77/9.98 | c_RealVector_Onorm__class_Onorm(X1,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6779_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10107,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X1)
% 9.77/9.98 | c_RealVector_Onorm__class_Onorm(X1,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_674]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10108,plain,
% 9.77/9.98 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | c_RealVector_Onorm__class_Onorm(X0,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10107]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_654,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X1
% 9.77/9.98 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6788_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10067,plain,
% 9.77/9.98 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X1
% 9.77/9.98 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_654]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10068,plain,
% 9.77/9.98 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 9.77/9.98 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X1
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10067]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_652,plain,
% 9.77/9.98 ( X0 != X1
% 9.77/9.98 | c_Complex_Ocomplex_OComplex(X0,X2) = c_Complex_Ocomplex_OComplex(X1,X3)
% 9.77/9.98 | X2 != X3 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6790_1) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10063,plain,
% 9.77/9.98 ( X0 != X1
% 9.77/9.98 | c_Complex_Ocomplex_OComplex(X0,X2) = c_Complex_Ocomplex_OComplex(X1,X3)
% 9.77/9.98 | X2 != X3 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_652]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10064,plain,
% 9.77/9.98 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Complex_Ocomplex_OComplex(X2,X3)
% 9.77/9.98 | X0 != X2
% 9.77/9.98 | X1 != X3 ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10063]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_648,plain,
% 9.77/9.98 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Osgn__if(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6791_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10055,plain,
% 9.77/9.98 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Osgn__if(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_648]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10056,plain,
% 9.77/9.98 ( ~ class_Groups_Osgn__if(X0)
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10055]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_645,plain,
% 9.77/9.98 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6792_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10049,plain,
% 9.77/9.98 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_645]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10050,plain,
% 9.77/9.98 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10049]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_642,plain,
% 9.77/9.98 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Rings_Olinordered__idom(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6793_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10043,plain,
% 9.77/9.98 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Rings_Olinordered__idom(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_642]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10044,plain,
% 9.77/9.98 ( ~ class_Rings_Olinordered__idom(X0)
% 9.77/9.98 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10043]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_639,plain,
% 9.77/9.98 ( c_Groups_Oabs__class_Oabs(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6794_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10037,plain,
% 9.77/9.98 ( c_Groups_Oabs__class_Oabs(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_639]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10038,plain,
% 9.77/9.98 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.77/9.98 | c_Groups_Oabs__class_Oabs(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10037]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_634,plain,
% 9.77/9.98 ( c_RealVector_Onorm__class_Onorm(X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6797_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10027,plain,
% 9.77/9.98 ( c_RealVector_Onorm__class_Onorm(X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_634]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_10028,plain,
% 9.77/9.98 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.98 | c_RealVector_Onorm__class_Onorm(X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_10027]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_603,plain,
% 9.77/9.98 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | c_Complex_Ocomplex_OComplex(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6813_1) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9965,plain,
% 9.77/9.98 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | c_Complex_Ocomplex_OComplex(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_603]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9966,plain,
% 9.77/9.98 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 9.77/9.98 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_9965]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_587,plain,
% 9.77/9.98 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Complex_Oii
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 9.77/9.98 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6824_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9933,plain,
% 9.77/9.98 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Complex_Oii
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 9.77/9.98 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_587]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9934,plain,
% 9.77/9.98 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Complex_Oii
% 9.77/9.98 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_9933]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_574,plain,
% 9.77/9.98 ( X0 = c_Groups_Oone__class_Oone(X1)
% 9.77/9.98 | ~ class_Groups_Oone(X1)
% 9.77/9.98 | c_Groups_Oone__class_Oone(X1) != X0 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6834_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9907,plain,
% 9.77/9.98 ( X0 = c_Groups_Oone__class_Oone(X1)
% 9.77/9.98 | ~ class_Groups_Oone(X1)
% 9.77/9.98 | c_Groups_Oone__class_Oone(X1) != X0 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_574]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9908,plain,
% 9.77/9.98 ( ~ class_Groups_Oone(X0)
% 9.77/9.98 | c_Groups_Oone__class_Oone(X0) != X1
% 9.77/9.98 | X1 = c_Groups_Oone__class_Oone(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_9907]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_571,plain,
% 9.77/9.98 ( c_Groups_Oone__class_Oone(X0) = X1
% 9.77/9.98 | ~ class_Groups_Oone(X0)
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6835_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9901,plain,
% 9.77/9.98 ( c_Groups_Oone__class_Oone(X0) = X1
% 9.77/9.98 | ~ class_Groups_Oone(X0)
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_571]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9902,plain,
% 9.77/9.98 ( ~ class_Groups_Oone(X0)
% 9.77/9.98 | c_Groups_Oone__class_Oone(X0) = X1
% 9.77/9.98 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_9901]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_568,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Groups_Ozero(X1)
% 9.77/9.98 | c_Groups_Ozero__class_Ozero(X1) != X0 ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6836_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9895,plain,
% 9.77/9.98 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.77/9.98 | ~ class_Groups_Ozero(X1)
% 9.77/9.98 | c_Groups_Ozero__class_Ozero(X1) != X0 ),
% 9.77/9.98 inference(copy,[status(esa)],[c_568]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9896,plain,
% 9.77/9.98 ( ~ class_Groups_Ozero(X0)
% 9.77/9.98 | c_Groups_Ozero__class_Ozero(X0) != X1
% 9.77/9.98 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_9895]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_565,plain,
% 9.77/9.98 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 9.77/9.98 | ~ class_Groups_Ozero(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6837_2) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9889,plain,
% 9.77/9.98 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 9.77/9.98 | ~ class_Groups_Ozero(X0)
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_565]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9890,plain,
% 9.77/9.98 ( ~ class_Groups_Ozero(X0)
% 9.77/9.98 | c_Groups_Ozero__class_Ozero(X0) = X1
% 9.77/9.98 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_9889]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_436,plain,
% 9.77/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X0)) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5657_0) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9631,plain,
% 9.77/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X0)) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_436]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9632,plain,
% 9.77/9.98 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X0)) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_9631]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_411,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X3))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X3)))))) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5500_0) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9581,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X3))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X3)))))) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_411]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9582,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X3))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2)))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X3)))))) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_9581]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_406,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0),hAPP(c_Complex_ORe,X1)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X0),hAPP(c_Complex_OIm,X1)))))) ),
% 9.77/9.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5524_0) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9572,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0),hAPP(c_Complex_ORe,X1)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X0),hAPP(c_Complex_OIm,X1)))))) ),
% 9.77/9.98 inference(copy,[status(esa)],[c_406]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_9573,plain,
% 9.77/9.98 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0),hAPP(c_Complex_ORe,X1)))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X0),hAPP(c_Complex_OIm,X1)))))) ),
% 9.77/9.98 inference(rewriting,[status(thm)],[c_9572]) ).
% 9.77/9.98
% 9.77/9.98 cnf(c_393,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5762_0) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9555,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_393]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9556,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_9555]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_390,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Complex_Ocnj,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk65_0))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5854_0) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9551,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Complex_Ocnj,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk65_0))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_390]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9552,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk65_0))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_9551]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_389,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Complex_Ocnj,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk40_0))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5855_0) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9549,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Complex_Ocnj,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk40_0))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_389]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9550,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk40_0))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_9549]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_386,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Complex_Ocnj,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk34_0))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5858_0) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9543,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Complex_Ocnj,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk34_0))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_386]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9544,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk34_0))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_9543]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_365,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6101_0) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9511,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_365]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9512,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_9511]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_364,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X0))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6102_0) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9509,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X0))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_364]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9510,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X0))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_9509]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_362,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6124_0) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9505,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_362]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9506,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_9505]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_351,plain,
% 9.77/9.99 ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6184_0) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9492,plain,
% 9.77/9.99 ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_351]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_9493,plain,
% 9.77/9.99 ( c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1))) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_9492]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3904,negated_conjecture,
% 9.77/9.99 ( ~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_4) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_4983,negated_conjecture,
% 9.77/9.99 ( ~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3904]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_4987,negated_conjecture,
% 9.77/9.99 ( ~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_4983]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_4988,negated_conjecture,
% 9.77/9.99 ( ~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_4987]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_4989,negated_conjecture,
% 9.77/9.99 ( ~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_4988]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16567,negated_conjecture,
% 9.77/9.99 ( ~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_4989]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3878,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5484_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16515,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3878]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16516,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X0))),X2)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16515]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3865,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5488_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16489,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3865]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16490,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X0)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16489]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3859,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1)),X2)),X4)) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5493_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16477,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1)),X2)),X4)) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3859]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16478,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2)),X3)),X4))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X4)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16477]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3838,plain,
% 9.77/9.99 ( c_SEQ_OBseq(X0,X1)
% 9.77/9.99 | ~ c_SEQ_OBseq(X0,c_COMBB(tc_Nat_Onat,X0,tc_Nat_Onat,X1,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2)))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5501_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16435,plain,
% 9.77/9.99 ( c_SEQ_OBseq(X0,X1)
% 9.77/9.99 | ~ c_SEQ_OBseq(X0,c_COMBB(tc_Nat_Onat,X0,tc_Nat_Onat,X1,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2)))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3838]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16436,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.99 | ~ c_SEQ_OBseq(X0,c_COMBB(tc_Nat_Onat,X0,tc_Nat_Onat,X1,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2)))
% 9.77/9.99 | c_SEQ_OBseq(X0,X1) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16435]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3815,plain,
% 9.77/9.99 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(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))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5509_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16389,plain,
% 9.77/9.99 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(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))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3815]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16390,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.77/9.99 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(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)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16389]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3809,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3)),X4)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5511_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16377,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3)),X4)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3809]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16378,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1)),X4)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16377]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3802,plain,
% 9.77/9.99 ( c_SEQ_Oconvergent(X0,c_COMBS(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X2)
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5513_3) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16363,plain,
% 9.77/9.99 ( c_SEQ_Oconvergent(X0,c_COMBS(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X2)
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3802]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16364,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.77/9.99 | c_SEQ_Oconvergent(X0,c_COMBS(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X2)
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16363]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3798,plain,
% 9.77/9.99 ( c_SEQ_Oconvergent(X0,c_COMBS(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X2)
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5514_3) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16355,plain,
% 9.77/9.99 ( c_SEQ_Oconvergent(X0,c_COMBS(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X2)
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3798]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16356,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.99 | c_SEQ_Oconvergent(X0,c_COMBS(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X2)
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16355]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3796,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4)))))
% 9.77/9.99 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5515_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16351,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4)))))
% 9.77/9.99 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3796]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16352,plain,
% 9.77/9.99 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4))))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16351]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3793,plain,
% 9.77/9.99 ( c_SEQ_OCauchy(X0,c_COMBC(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_OCauchy(X0,X1)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5516_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16345,plain,
% 9.77/9.99 ( c_SEQ_OCauchy(X0,c_COMBC(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_OCauchy(X0,X1)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3793]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16346,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.77/9.99 | c_SEQ_OCauchy(X0,c_COMBC(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_OCauchy(X0,X1) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16345]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3790,plain,
% 9.77/9.99 ( c_SEQ_Oconvergent(X0,c_COMBC(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5517_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16339,plain,
% 9.77/9.99 ( c_SEQ_Oconvergent(X0,c_COMBC(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3790]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16340,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.77/9.99 | c_SEQ_Oconvergent(X0,c_COMBC(tc_Nat_Onat,X0,X0,c_COMBB(X0,tc_fun(X0,X0),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16339]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3788,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4)))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5518_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16335,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4)))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3788]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16336,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4))))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16335]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3785,plain,
% 9.77/9.99 ( c_SEQ_OBseq(X0,c_COMBB(tc_Nat_Onat,X0,tc_Nat_Onat,X1,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2)))
% 9.77/9.99 | ~ c_SEQ_OBseq(X0,X1)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5519_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16329,plain,
% 9.77/9.99 ( c_SEQ_OBseq(X0,c_COMBB(tc_Nat_Onat,X0,tc_Nat_Onat,X1,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2)))
% 9.77/9.99 | ~ c_SEQ_OBseq(X0,X1)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3785]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16330,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.99 | c_SEQ_OBseq(X0,c_COMBB(tc_Nat_Onat,X0,tc_Nat_Onat,X1,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2)))
% 9.77/9.99 | ~ c_SEQ_OBseq(X0,X1) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16329]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3780,plain,
% 9.77/9.99 ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X1,X7,X8,X9),X10)
% 9.77/9.99 | hAPP(X3,hAPP(X4,X5)) != hAPP(X8,hAPP(X9,X10)) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5526_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16319,plain,
% 9.77/9.99 ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X1,X7,X8,X9),X10)
% 9.77/9.99 | hAPP(X3,hAPP(X4,X5)) != hAPP(X8,hAPP(X9,X10)) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3780]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3770,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X3))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X4))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)),X4))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5528_4) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16299,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X3))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X4))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)),X4))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3770]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16300,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3)),X4)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X4)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16299]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3762,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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)))
% 9.77/9.99 | ~ class_Rings_Olinordered__ring(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5531_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16283,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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)))
% 9.77/9.99 | ~ class_Rings_Olinordered__ring(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3762]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16284,plain,
% 9.77/9.99 ( ~ class_Rings_Olinordered__ring(X0)
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(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))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16283]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3760,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X0)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5532_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16279,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X0)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3760]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16280,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16279]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3736,plain,
% 9.77/9.99 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,hAPP(X4,X2))
% 9.77/9.99 | c_Fun_Ocomp(X5,X6,X7,X0,X1) != c_Fun_Ocomp(X8,X6,X7,X3,X4) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5538_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16231,plain,
% 9.77/9.99 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,hAPP(X4,X2))
% 9.77/9.99 | c_Fun_Ocomp(X5,X6,X7,X0,X1) != c_Fun_Ocomp(X8,X6,X7,X3,X4) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3736]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3676,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(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))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5553_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16111,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(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))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3676]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16112,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(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)))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16111]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3670,plain,
% 9.77/9.99 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1)),X2),X4)
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0)) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5555_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16099,plain,
% 9.77/9.99 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1)),X2),X4)
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0)) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3670]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16100,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X4)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2)),X3),X4) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16099]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3668,plain,
% 9.77/9.99 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1)),X4))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3)) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5556_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16095,plain,
% 9.77/9.99 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X4)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1)),X4))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3)) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3668]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16096,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X4)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2)),X4)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16095]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3666,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))),sk1_esk58_1(X0))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5557_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16091,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))),sk1_esk58_1(X0))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3666]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16092,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))),sk1_esk58_1(X0)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16091]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3664,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))),sk1_esk37_1(X0))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5558_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16087,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))),sk1_esk37_1(X0))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3664]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16088,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))),sk1_esk37_1(X0)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16087]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3644,plain,
% 9.77/9.99 ( ~ class_RealVector_Ometric__space(X0)
% 9.77/9.99 | c_SEQ_OCauchy(X0,c_COMBB(X1,X0,tc_Nat_Onat,X2,X3))
% 9.77/9.99 | ~ c_SEQ_OCauchy(X1,X3)
% 9.77/9.99 | ~ c_Lim_OisUCont(X1,X0,X2)
% 9.77/9.99 | ~ class_RealVector_Ometric__space(X1) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5563_3) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16047,plain,
% 9.77/9.99 ( ~ class_RealVector_Ometric__space(X0)
% 9.77/9.99 | c_SEQ_OCauchy(X0,c_COMBB(X1,X0,tc_Nat_Onat,X2,X3))
% 9.77/9.99 | ~ c_SEQ_OCauchy(X1,X3)
% 9.77/9.99 | ~ c_Lim_OisUCont(X1,X0,X2)
% 9.77/9.99 | ~ class_RealVector_Ometric__space(X1) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3644]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16048,plain,
% 9.77/9.99 ( ~ class_RealVector_Ometric__space(X0)
% 9.77/9.99 | ~ class_RealVector_Ometric__space(X1)
% 9.77/9.99 | ~ c_Lim_OisUCont(X1,X0,X2)
% 9.77/9.99 | c_SEQ_OCauchy(X0,c_COMBB(X1,X0,tc_Nat_Onat,X2,X3))
% 9.77/9.99 | ~ c_SEQ_OCauchy(X1,X3) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16047]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3640,plain,
% 9.77/9.99 ( c_SEQ_OCauchy(X0,c_COMBB(X0,X0,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_OCauchy(X0,X2)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5565_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16039,plain,
% 9.77/9.99 ( c_SEQ_OCauchy(X0,c_COMBB(X0,X0,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_OCauchy(X0,X2)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3640]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16040,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.77/9.99 | c_SEQ_OCauchy(X0,c_COMBB(X0,X0,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_OCauchy(X0,X2) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16039]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3637,plain,
% 9.77/9.99 ( c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X2)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5566_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16033,plain,
% 9.77/9.99 ( c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X2)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3637]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16034,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.77/9.99 | c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X2) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16033]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3634,plain,
% 9.77/9.99 ( c_SEQ_Olim(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_SEQ_Olim(X0,X1))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5567_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16027,plain,
% 9.77/9.99 ( c_SEQ_Olim(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_SEQ_Olim(X0,X1))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3634]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16028,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.99 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.77/9.99 | c_SEQ_Olim(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_SEQ_Olim(X0,X1)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16027]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3632,plain,
% 9.77/9.99 ( c_Lim_OisUCont(X0,X0,c_COMBC(X0,X0,X0,c_Groups_Otimes__class_Otimes(X0),X1))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5569_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16023,plain,
% 9.77/9.99 ( c_Lim_OisUCont(X0,X0,c_COMBC(X0,X0,X0,c_Groups_Otimes__class_Otimes(X0),X1))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3632]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16024,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.77/9.99 | c_Lim_OisUCont(X0,X0,c_COMBC(X0,X0,X0,c_Groups_Otimes__class_Otimes(X0),X1)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16023]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3626,plain,
% 9.77/9.99 ( c_SEQ_Omonoseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 9.77/9.99 | ~ c_SEQ_Omonoseq(X0,X1)
% 9.77/9.99 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5575_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16011,plain,
% 9.77/9.99 ( c_SEQ_Omonoseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 9.77/9.99 | ~ c_SEQ_Omonoseq(X0,X1)
% 9.77/9.99 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3626]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_16012,plain,
% 9.77/9.99 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.77/9.99 | c_SEQ_Omonoseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 9.77/9.99 | ~ c_SEQ_Omonoseq(X0,X1) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_16011]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3606,plain,
% 9.77/9.99 ( c_SEQ_OCauchy(tc_Complex_Ocomplex,c_COMBB(tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Nat_Onat,c_Complex_Ocnj,X0))
% 9.77/9.99 | ~ c_SEQ_OCauchy(tc_Complex_Ocomplex,X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5581_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15971,plain,
% 9.77/9.99 ( c_SEQ_OCauchy(tc_Complex_Ocomplex,c_COMBB(tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Nat_Onat,c_Complex_Ocnj,X0))
% 9.77/9.99 | ~ c_SEQ_OCauchy(tc_Complex_Ocomplex,X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3606]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3604,plain,
% 9.77/9.99 ( c_SEQ_Oconvergent(tc_Complex_Ocomplex,c_COMBB(tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Nat_Onat,c_Complex_Ocnj,X0))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5582_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15967,plain,
% 9.77/9.99 ( c_SEQ_Oconvergent(tc_Complex_Ocomplex,c_COMBB(tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Nat_Onat,c_Complex_Ocnj,X0))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3604]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3602,plain,
% 9.77/9.99 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X0))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5583_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15963,plain,
% 9.77/9.99 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X0))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3602]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15964,plain,
% 9.77/9.99 ( ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X0)
% 9.77/9.99 | c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X0)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15963]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3600,plain,
% 9.77/9.99 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X0))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5584_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15959,plain,
% 9.77/9.99 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X0))
% 9.77/9.99 | ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3600]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15960,plain,
% 9.77/9.99 ( ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X0)
% 9.77/9.99 | c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X0)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15959]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3598,plain,
% 9.77/9.99 ( c_SEQ_OCauchy(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X0))
% 9.77/9.99 | ~ c_SEQ_OCauchy(tc_Complex_Ocomplex,X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5585_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15955,plain,
% 9.77/9.99 ( c_SEQ_OCauchy(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X0))
% 9.77/9.99 | ~ c_SEQ_OCauchy(tc_Complex_Ocomplex,X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3598]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15956,plain,
% 9.77/9.99 ( ~ c_SEQ_OCauchy(tc_Complex_Ocomplex,X0)
% 9.77/9.99 | c_SEQ_OCauchy(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X0)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15955]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3596,plain,
% 9.77/9.99 ( c_SEQ_OCauchy(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X0))
% 9.77/9.99 | ~ c_SEQ_OCauchy(tc_Complex_Ocomplex,X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5586_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15951,plain,
% 9.77/9.99 ( c_SEQ_OCauchy(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X0))
% 9.77/9.99 | ~ c_SEQ_OCauchy(tc_Complex_Ocomplex,X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3596]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15952,plain,
% 9.77/9.99 ( ~ c_SEQ_OCauchy(tc_Complex_Ocomplex,X0)
% 9.77/9.99 | c_SEQ_OCauchy(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X0)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15951]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3594,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 9.77/9.99 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5587_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15947,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 9.77/9.99 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3594]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15948,plain,
% 9.77/9.99 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15947]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3558,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(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)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5599_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15875,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(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)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3558]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3543,plain,
% 9.77/9.99 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,X2)
% 9.77/9.99 | c_Fun_Ocomp(X4,X5,X6,X0,X1) != X3 ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5604_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15845,plain,
% 9.77/9.99 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,X2)
% 9.77/9.99 | c_Fun_Ocomp(X4,X5,X6,X0,X1) != X3 ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3543]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3530,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X2)),X4))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X3))
% 9.77/9.99 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5608_3) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15819,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X2)),X4))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X3))
% 9.77/9.99 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3530]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15820,plain,
% 9.77/9.99 ( ~ class_Rings_Olinordered__idom(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X2)),X4))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X3)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15819]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3526,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0)),X2))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5609_3) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15811,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0)),X2))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3526]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15812,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)),X2)))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X0)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15811]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3518,plain,
% 9.77/9.99 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),X2)),X4)
% 9.77/9.99 | ~ class_Rings_Osemiring(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5612_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15795,plain,
% 9.77/9.99 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),X2)),X4)
% 9.77/9.99 | ~ class_Rings_Osemiring(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3518]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15796,plain,
% 9.77/9.99 ( ~ class_Rings_Osemiring(X0)
% 9.77/9.99 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),X2)),X4) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15795]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3514,plain,
% 9.77/9.99 ( hBOOL(hAPP(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)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Oone__class_Oone(X0)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/9.99 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5613_3) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15787,plain,
% 9.77/9.99 ( hBOOL(hAPP(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)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Oone__class_Oone(X0)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/9.99 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3514]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15788,plain,
% 9.77/9.99 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/9.99 | hBOOL(hAPP(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)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Oone__class_Oone(X0))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15787]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3510,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X3),X4)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2)),X4))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),X3))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5614_3) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15779,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X3),X4)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2)),X4))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),X3))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3510]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15780,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X3),X4)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2)),X4))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),X3)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15779]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3506,plain,
% 9.77/9.99 ( hBOOL(hAPP(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)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2)),X4))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),X3))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5615_3) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15771,plain,
% 9.77/9.99 ( hBOOL(hAPP(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)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2)),X4))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),X3))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3506]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15772,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.77/9.99 | hBOOL(hAPP(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)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2)),X4))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),X3)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15771]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3504,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2))))
% 9.77/9.99 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5617_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15767,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2))))
% 9.77/9.99 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3504]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15768,plain,
% 9.77/9.99 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15767]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3501,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(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))))
% 9.77/9.99 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.99 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5618_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15761,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(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))))
% 9.77/9.99 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.99 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3501]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15762,plain,
% 9.77/9.99 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(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))))
% 9.77/9.99 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15761]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3498,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(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))))
% 9.77/9.99 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.99 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5619_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15755,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(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))))
% 9.77/9.99 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 9.77/9.99 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3498]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15756,plain,
% 9.77/9.99 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(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))))
% 9.77/9.99 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15755]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3496,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(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))))
% 9.77/9.99 | ~ class_Rings_Olinordered__ring(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5620_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15751,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(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))))
% 9.77/9.99 | ~ class_Rings_Olinordered__ring(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3496]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15752,plain,
% 9.77/9.99 ( ~ class_Rings_Olinordered__ring(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(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)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15751]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3494,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5621_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15747,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3494]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15748,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15747]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3484,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2))))
% 9.77/9.99 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5624_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15727,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2))))
% 9.77/9.99 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3484]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15728,plain,
% 9.77/9.99 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15727]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3482,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X2)),sk1_esk60_2(X1,X0))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5625_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15723,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X2)),sk1_esk60_2(X1,X0))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3482]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15724,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X2)),sk1_esk60_2(X1,X0)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15723]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3480,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk59_2(X2,X0))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5626_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15719,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk59_2(X2,X0))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3480]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15720,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk59_2(X2,X0)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15719]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3478,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X2)),sk1_esk36_2(X1,X0))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5627_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15715,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X2)),sk1_esk36_2(X1,X0))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3478]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15716,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X2)),sk1_esk36_2(X1,X0)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15715]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3476,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk35_2(X2,X0))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5628_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15711,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk35_2(X2,X0))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3476]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15712,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk35_2(X2,X0)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15711]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3474,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5629_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15707,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3474]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15708,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15707]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3472,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5630_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15703,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3472]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15704,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15703]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3470,plain,
% 9.77/9.99 ( hAPP(hAPP(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))
% 9.77/9.99 | ~ class_Rings_Oring(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5631_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15699,plain,
% 9.77/9.99 ( hAPP(hAPP(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))
% 9.77/9.99 | ~ class_Rings_Oring(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3470]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15700,plain,
% 9.77/9.99 ( ~ class_Rings_Oring(X0)
% 9.77/9.99 | hAPP(hAPP(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)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15699]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3468,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5632_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15695,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3468]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15696,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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)))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15695]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3467,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5633_0) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15693,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3467]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3466,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5633_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15691,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3466]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3464,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5633_3) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15687,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3464]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15688,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15687]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3458,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 9.77/9.99 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5635_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15675,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 9.77/9.99 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3458]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15676,plain,
% 9.77/9.99 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15675]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3456,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))))
% 9.77/9.99 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5636_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15671,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))))
% 9.77/9.99 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3456]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15672,plain,
% 9.77/9.99 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15671]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3454,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5637_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15667,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3454]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15668,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15667]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3452,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),X2)))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5638_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15663,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),X2)))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3452]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15664,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),X2))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15663]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3450,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5639_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15659,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))))
% 9.77/9.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3450]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15660,plain,
% 9.77/9.99 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15659]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3442,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)))
% 9.77/9.99 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5641_3) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15643,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)))
% 9.77/9.99 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3442]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15644,plain,
% 9.77/9.99 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15643]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3438,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)))
% 9.77/9.99 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5642_3) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15635,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)))
% 9.77/9.99 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3438]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15636,plain,
% 9.77/9.99 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15635]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3406,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ class_Rings_Olinordered__semidom(X2)
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2)),X3))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5650_3) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15571,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ class_Rings_Olinordered__semidom(X2)
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2)),X3))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3406]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15572,plain,
% 9.77/9.99 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X3)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15571]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3333,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,sk1_esk50_1(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X0))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5667_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15425,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,sk1_esk50_1(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X0))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3333]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15426,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,sk1_esk50_1(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X0)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15425]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3330,plain,
% 9.77/9.99 ( hBOOL(hAPP(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))))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.77/9.99 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5668_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15419,plain,
% 9.77/9.99 ( hBOOL(hAPP(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))))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.77/9.99 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3330]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15420,plain,
% 9.77/9.99 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.77/9.99 | hBOOL(hAPP(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)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15419]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3320,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(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))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5671_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15399,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(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))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3320]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15400,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(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)))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15399]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3318,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X1))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5672_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15395,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X1))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3318]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15396,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2)))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15395]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3308,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5675_1) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15375,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3308]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15376,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)))) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15375]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3298,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(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)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5679_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15355,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(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)))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3298]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15356,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.77/9.99 | ~ hBOOL(hAPP(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)))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15355]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3295,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5680_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15349,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3295]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15350,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15349]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3292,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5681_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15343,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3292]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15344,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))
% 9.77/9.99 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.77/9.99 inference(rewriting,[status(thm)],[c_15343]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_3289,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))) ),
% 9.77/9.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5682_2) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15337,plain,
% 9.77/9.99 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.77/9.99 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))) ),
% 9.77/9.99 inference(copy,[status(esa)],[c_3289]) ).
% 9.77/9.99
% 9.77/9.99 cnf(c_15338,plain,
% 9.77/9.99 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15337]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3286,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5683_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15331,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3286]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15332,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15331]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3274,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.77/10.00 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5687_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15307,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.77/10.00 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3274]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15308,plain,
% 9.77/10.00 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15307]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3271,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.77/10.00 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5688_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15301,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.77/10.00 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3271]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15302,plain,
% 9.77/10.00 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15301]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3262,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.77/10.00 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5691_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15283,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.77/10.00 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3262]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15284,plain,
% 9.77/10.00 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15283]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3259,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.77/10.00 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5692_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15277,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.77/10.00 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3259]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15278,plain,
% 9.77/10.00 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15277]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3223,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Oone__class_Oone(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),X2))
% 9.77/10.00 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5700_4) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15205,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Oone__class_Oone(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),X2))
% 9.77/10.00 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3223]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15206,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.77/10.00 | hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),c_Groups_Oone__class_Oone(X0))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15205]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3218,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oone__class_Oone(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 9.77/10.00 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5701_4) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15195,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oone__class_Oone(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 9.77/10.00 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3218]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15196,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),c_Groups_Oone__class_Oone(X0))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15195]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3215,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)),X1)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5703_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15189,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)),X1)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3215]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15190,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),X2))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15189]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3209,plain,
% 9.77/10.00 ( c_SEQ_OBseq(X0,X1)
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),sk1_esk18_4(X3,X1,X2,X0)))
% 9.77/10.00 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5705_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15177,plain,
% 9.77/10.00 ( c_SEQ_OBseq(X0,X1)
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),sk1_esk18_4(X3,X1,X2,X0)))
% 9.77/10.00 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3209]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15178,plain,
% 9.77/10.00 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),sk1_esk18_4(X2,X3,X1,X0)))
% 9.77/10.00 | c_SEQ_OBseq(X0,X3) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15177]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3205,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5706_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15169,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3205]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3199,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))),X0))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5708_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15157,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))),X0))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3199]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15158,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))),X0)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15157]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3197,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.77/10.00 | ~ hBOOL(hAPP(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))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5709_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15153,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.77/10.00 | ~ hBOOL(hAPP(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))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3197]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3195,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.77/10.00 | ~ hBOOL(hAPP(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))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5710_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15149,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.77/10.00 | ~ hBOOL(hAPP(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))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3195]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3193,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5711_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15145,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3193]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15146,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15145]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3191,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(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))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5712_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15141,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(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))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3191]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15142,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(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)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15141]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3189,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(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))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5713_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15137,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(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))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3189]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15138,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(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)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15137]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3187,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5714_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15133,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3187]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15134,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15133]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3185,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)),X1)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5715_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15129,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)),X1)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3185]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15130,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15129]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3121,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5732_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15001,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3121]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_15002,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_15001]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3119,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5733_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14997,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3119]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3107,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ class_Rings_Olinordered__semidom(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5736_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14973,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ class_Rings_Olinordered__semidom(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3107]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14974,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X3))
% 9.77/10.00 | hBOOL(hAPP(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))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14973]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3103,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 9.77/10.00 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5737_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14965,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 9.77/10.00 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3103]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14966,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),X3))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14965]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3096,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__idom(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5739_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14951,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__idom(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3096]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14952,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__idom(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14951]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3091,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__idom(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5740_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14941,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__idom(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3091]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14942,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__idom(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14941]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3085,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.77/10.00 | ~ class_Rings_Oordered__ring(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5741_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14929,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.77/10.00 | ~ class_Rings_Oordered__ring(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3085]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14930,plain,
% 9.77/10.00 ( ~ class_Rings_Oordered__ring(X0)
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14929]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3081,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1))
% 9.77/10.00 | ~ class_Rings_Oordered__ring(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5742_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14921,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1))
% 9.77/10.00 | ~ class_Rings_Oordered__ring(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3081]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14922,plain,
% 9.77/10.00 ( ~ class_Rings_Oordered__ring(X0)
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14921]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3061,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5747_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14881,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3061]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14882,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.77/10.00 | hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14881]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3057,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5748_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14873,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ class_Rings_Olinordered__ring__strict(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3057]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14874,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.77/10.00 | hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14873]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3054,plain,
% 9.77/10.00 ( c_RComplete_Onatfloor(X0) = X1
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X0)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5749_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14867,plain,
% 9.77/10.00 ( c_RComplete_Onatfloor(X0) = X1
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X0)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3054]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14868,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
% 9.77/10.00 | c_RComplete_Onatfloor(X1) = X0 ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14867]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3052,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)),X1)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5750_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14863,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)),X1)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3052]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14864,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),X2))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14863]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3048,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X4))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.77/10.00 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5751_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14855,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X4))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.77/10.00 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3048]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14856,plain,
% 9.77/10.00 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X4)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X4)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14855]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3040,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X4))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.77/10.00 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5753_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14839,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X4))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.77/10.00 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3040]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14840,plain,
% 9.77/10.00 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X4))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14839]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3036,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.77/10.00 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5754_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14831,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.77/10.00 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3036]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14832,plain,
% 9.77/10.00 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14831]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3030,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X0))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5756_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14819,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X0))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3030]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3028,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5757_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14815,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3028]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3026,plain,
% 9.77/10.00 ( 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))
% 9.77/10.00 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5758_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14811,plain,
% 9.77/10.00 ( 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))
% 9.77/10.00 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3026]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14812,plain,
% 9.77/10.00 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.77/10.00 | 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)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14811]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3018,plain,
% 9.77/10.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(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),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),X1)
% 9.77/10.00 | ~ class_Rings_Oring__1(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5761_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14795,plain,
% 9.77/10.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(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),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),X1)
% 9.77/10.00 | ~ class_Rings_Oring__1(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3018]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14796,plain,
% 9.77/10.00 ( ~ class_Rings_Oring__1(X0)
% 9.77/10.00 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(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),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)),X1) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14795]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3015,plain,
% 9.77/10.00 ( hBOOL(hAPP(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))))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.77/10.00 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5763_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14789,plain,
% 9.77/10.00 ( hBOOL(hAPP(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))))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.77/10.00 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3015]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14790,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.77/10.00 | hBOOL(hAPP(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))))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14789]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3012,plain,
% 9.77/10.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.77/10.00 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5764_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14783,plain,
% 9.77/10.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
% 9.77/10.00 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3012]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14784,plain,
% 9.77/10.00 ( ~ class_Groups_Omonoid__mult(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.77/10.00 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14783]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_3010,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5765_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14779,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_3010]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2987,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5773_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14733,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2987]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2985,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5774_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14729,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2985]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2983,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5775_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14725,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2983]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2965,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5781_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14689,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2965]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14690,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.77/10.00 | hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14689]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2962,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5782_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14683,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2962]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14684,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.77/10.00 | hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14683]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2950,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5786_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14659,plain,
% 9.77/10.00 ( hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2950]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14660,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.77/10.00 | hBOOL(hAPP(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)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14659]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2944,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5788_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14647,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2944]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14648,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14647]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2942,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5789_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14643,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2942]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14644,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14643]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2936,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X3))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5791_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14631,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X3))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2936]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2933,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5792_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14625,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2933]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2930,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5793_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14619,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2930]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2928,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5794_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14615,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2928]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14616,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14615]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2926,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5795_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14611,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2926]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14612,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14611]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2923,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.77/10.00 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5796_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14605,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.77/10.00 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2923]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14606,plain,
% 9.77/10.00 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14605]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2920,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.77/10.00 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5797_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14599,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.77/10.00 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2920]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14600,plain,
% 9.77/10.00 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14599]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2905,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.77/10.00 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5802_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14569,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.77/10.00 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2905]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14570,plain,
% 9.77/10.00 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14569]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2902,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.77/10.00 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5803_2) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14563,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.77/10.00 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2902]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14564,plain,
% 9.77/10.00 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14563]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2886,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.77/10.00 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5808_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14531,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.77/10.00 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2886]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14532,plain,
% 9.77/10.00 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14531]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2882,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5809_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14523,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2882]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14524,plain,
% 9.77/10.00 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14523]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2866,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.77/10.00 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5813_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14491,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.77/10.00 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2866]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14492,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14491]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2862,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5814_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14483,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2862]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14484,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14483]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2857,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5816_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14473,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2857]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2855,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5817_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14469,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2855]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2851,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5818_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14461,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2851]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14462,plain,
% 9.77/10.00 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14461]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2843,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5820_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14445,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2843]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14446,plain,
% 9.77/10.00 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14445]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2839,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5821_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14437,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2839]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14438,plain,
% 9.77/10.00 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14437]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2837,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5823_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14433,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2837]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14434,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14433]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2835,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ class_Rings_Olinordered__ring(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5824_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14429,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.77/10.00 | ~ class_Rings_Olinordered__ring(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2835]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14430,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__ring(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14429]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2834,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5825_0) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14427,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2834]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2831,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.77/10.00 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5825_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14421,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.77/10.00 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2831]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14422,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14421]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2830,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5826_0) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14419,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2830]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2827,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)))
% 9.77/10.00 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5826_3) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14413,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)))
% 9.77/10.00 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2827]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14414,plain,
% 9.77/10.00 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14413]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2825,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5827_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14409,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X1))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2825]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14410,plain,
% 9.77/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.77/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X1)) ),
% 9.77/10.00 inference(rewriting,[status(thm)],[c_14409]) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_2822,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
% 9.77/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5828_1) ).
% 9.77/10.00
% 9.77/10.00 cnf(c_14403,plain,
% 9.77/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0),X2)))
% 9.77/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
% 9.77/10.00 inference(copy,[status(esa)],[c_2822]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2820,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)),X1)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5829_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14399,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)),X1)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2820]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14400,plain,
% 9.80/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),X2))
% 9.80/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.00 inference(rewriting,[status(thm)],[c_14399]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2814,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)),X1)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5832_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14387,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)),X1)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2814]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14388,plain,
% 9.80/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),X2))
% 9.80/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.00 inference(rewriting,[status(thm)],[c_14387]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2812,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0)),X1)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5833_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14383,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0)),X1)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2812]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14384,plain,
% 9.80/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),X2))
% 9.80/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.00 inference(rewriting,[status(thm)],[c_14383]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2804,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X2)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5835_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14367,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X2)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2804]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2802,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X1)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X2)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5836_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14363,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X1)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X2)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2802]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2800,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5837_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14359,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2800]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2798,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5838_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14355,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2798]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2792,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5841_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14343,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2792]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2790,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5842_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14339,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2790]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2788,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5843_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14335,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2788]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2786,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5844_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14331,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2786]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2784,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X2)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5845_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14327,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X2)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2784]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2770,plain,
% 9.80/10.00 ( 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)))
% 9.80/10.00 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5850_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14299,plain,
% 9.80/10.00 ( 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)))
% 9.80/10.00 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2770]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14300,plain,
% 9.80/10.00 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.00 | 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))) ),
% 9.80/10.00 inference(rewriting,[status(thm)],[c_14299]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2768,plain,
% 9.80/10.00 ( 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))
% 9.80/10.00 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5851_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14295,plain,
% 9.80/10.00 ( 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))
% 9.80/10.00 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2768]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14296,plain,
% 9.80/10.00 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.00 | 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)) ),
% 9.80/10.00 inference(rewriting,[status(thm)],[c_14295]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2766,plain,
% 9.80/10.00 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X4))
% 9.80/10.00 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5852_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14291,plain,
% 9.80/10.00 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X4))
% 9.80/10.00 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2766]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14292,plain,
% 9.80/10.00 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.00 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X4)) ),
% 9.80/10.00 inference(rewriting,[status(thm)],[c_14291]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2763,plain,
% 9.80/10.00 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.80/10.00 | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X0))) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5853_2) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14285,plain,
% 9.80/10.00 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.80/10.00 | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X0))) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2763]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14286,plain,
% 9.80/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),X1)))
% 9.80/10.00 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.80/10.00 | X0 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 9.80/10.00 inference(rewriting,[status(thm)],[c_14285]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2761,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)))
% 9.80/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5863_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14281,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)))
% 9.80/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2761]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2759,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))
% 9.80/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5864_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14277,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))
% 9.80/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2759]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2720,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(X1))),X0))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5877_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14199,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(X1))),X0))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2720]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14200,plain,
% 9.80/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.80/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(X1))),X0)) ),
% 9.80/10.00 inference(rewriting,[status(thm)],[c_14199]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2708,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5881_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14175,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2708]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14176,plain,
% 9.80/10.00 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
% 9.80/10.00 inference(rewriting,[status(thm)],[c_14175]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2706,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0))) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5882_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14171,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0))) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2706]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2704,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0))) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5883_1) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14167,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0))) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2704]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2685,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.00 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.80/10.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5889_3) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14129,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.00 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.80/10.00 inference(copy,[status(esa)],[c_2685]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_14130,plain,
% 9.80/10.00 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.00 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.80/10.00 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 9.80/10.00 inference(rewriting,[status(thm)],[c_14129]) ).
% 9.80/10.00
% 9.80/10.00 cnf(c_2677,plain,
% 9.80/10.00 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5891_3) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14113,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2677]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14114,plain,
% 9.80/10.01 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_14113]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2669,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5893_3) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14097,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2669]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14098,plain,
% 9.80/10.01 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_14097]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2661,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5895_3) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14081,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2661]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14082,plain,
% 9.80/10.01 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_14081]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2657,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.80/10.01 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5896_3) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14073,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.80/10.01 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2657]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14074,plain,
% 9.80/10.01 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_14073]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2653,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5897_3) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14065,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2653]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14066,plain,
% 9.80/10.01 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_14065]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2645,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X3)),c_Groups_Ominus__class_Ominus(X0,X2,X4))
% 9.80/10.01 | ~ class_Groups_Oab__group__add(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5899_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14049,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X3)),c_Groups_Ominus__class_Ominus(X0,X2,X4))
% 9.80/10.01 | ~ class_Groups_Oab__group__add(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2645]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14050,plain,
% 9.80/10.01 ( ~ class_Groups_Oab__group__add(X0)
% 9.80/10.01 | c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X3)),c_Groups_Ominus__class_Ominus(X0,X2,X4)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_14049]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2643,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5900_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14045,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2643]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14046,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_14045]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2641,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5901_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14041,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2641]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14042,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_14041]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2639,plain,
% 9.80/10.01 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)
% 9.80/10.01 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5902_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14037,plain,
% 9.80/10.01 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)
% 9.80/10.01 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2639]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2633,plain,
% 9.80/10.01 ( 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)
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5904_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14025,plain,
% 9.80/10.01 ( 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)
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2633]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14026,plain,
% 9.80/10.01 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.01 | 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) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_14025]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2631,plain,
% 9.80/10.01 ( 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)
% 9.80/10.01 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5905_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14021,plain,
% 9.80/10.01 ( 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)
% 9.80/10.01 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2631]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14022,plain,
% 9.80/10.01 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 9.80/10.01 | 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) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_14021]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2627,plain,
% 9.80/10.01 ( hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),X2)
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5907_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14013,plain,
% 9.80/10.01 ( hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),X2)
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2627]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14014,plain,
% 9.80/10.01 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.01 | hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_14013]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2623,plain,
% 9.80/10.01 ( hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),X2)
% 9.80/10.01 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5909_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14005,plain,
% 9.80/10.01 ( hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),X2)
% 9.80/10.01 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2623]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14006,plain,
% 9.80/10.01 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.80/10.01 | hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_14005]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2621,plain,
% 9.80/10.01 ( hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),X2)
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5910_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14001,plain,
% 9.80/10.01 ( hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),X2)
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2621]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_14002,plain,
% 9.80/10.01 ( ~ class_Rings_Ocomm__semiring(X0)
% 9.80/10.01 | hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_14001]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2619,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5911_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13997,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2619]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2617,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5912_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13993,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2617]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2609,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.80/10.01 | ~ class_Rings_Oordered__ring(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5915_3) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13977,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.80/10.01 | ~ class_Rings_Oordered__ring(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2609]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13978,plain,
% 9.80/10.01 ( ~ class_Rings_Oordered__ring(X0)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13977]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2601,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.80/10.01 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5917_3) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13961,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.80/10.01 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2601]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13962,plain,
% 9.80/10.01 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13961]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2587,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5922_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13933,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2587]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2573,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5929_0) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13905,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2573]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2571,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5929_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13901,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2571]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13902,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13901]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2564,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5931_3) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13887,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2564]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13888,plain,
% 9.80/10.01 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13887]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2556,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5933_3) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13871,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2556]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13872,plain,
% 9.80/10.01 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13871]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2552,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5934_3) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13863,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2552]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13864,plain,
% 9.80/10.01 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13863]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2548,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.80/10.01 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5935_3) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13855,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 9.80/10.01 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2548]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13856,plain,
% 9.80/10.01 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13855]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2546,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)),X1)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5936_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13851,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)),X1)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2546]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2544,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)),X1)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5937_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13847,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)),X1)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2544]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2530,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5943_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13819,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2530]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2511,plain,
% 9.80/10.01 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Oone__class_Oone(X0))),c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Oone__class_Oone(X0))) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Oone__class_Oone(X0))
% 9.80/10.01 | ~ class_Rings_Oring__1(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5949_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13781,plain,
% 9.80/10.01 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Oone__class_Oone(X0))),c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Oone__class_Oone(X0))) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Oone__class_Oone(X0))
% 9.80/10.01 | ~ class_Rings_Oring__1(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2511]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13782,plain,
% 9.80/10.01 ( ~ class_Rings_Oring__1(X0)
% 9.80/10.01 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Oone__class_Oone(X0))),c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Oone__class_Oone(X0))) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Oone__class_Oone(X0)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13781]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2497,plain,
% 9.80/10.01 ( c_SEQ_Osubseq(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,sk1_esk75_1(X0))),hAPP(X0,c_Nat_OSuc(sk1_esk75_1(X0))))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5953_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13753,plain,
% 9.80/10.01 ( c_SEQ_Osubseq(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,sk1_esk75_1(X0))),hAPP(X0,c_Nat_OSuc(sk1_esk75_1(X0))))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2497]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2495,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.01 | 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)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5954_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13749,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.01 | 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)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2495]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13750,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.80/10.01 | 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) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13749]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2487,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5957_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13733,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2487]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2484,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5958_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13727,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2484]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2481,plain,
% 9.80/10.01 ( hBOOL(hAPP(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)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5959_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13721,plain,
% 9.80/10.01 ( hBOOL(hAPP(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)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2481]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2478,plain,
% 9.80/10.01 ( hBOOL(hAPP(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)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5960_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13715,plain,
% 9.80/10.01 ( hBOOL(hAPP(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)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2478]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2476,plain,
% 9.80/10.01 ( hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Oone__class_Oone(X0))),X2)
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5961_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13711,plain,
% 9.80/10.01 ( hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Oone__class_Oone(X0))),X2)
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2476]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13712,plain,
% 9.80/10.01 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.01 | hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Oone__class_Oone(X0))),X2) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13711]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2473,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk66_3(X0,X1,X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5965_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13705,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk66_3(X0,X1,X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2473]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2470,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk53_3(X0,X1,X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5966_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13699,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk53_3(X0,X1,X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2470]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2468,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5967_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13695,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2468]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13696,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13695]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2466,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(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))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5968_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13691,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(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))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2466]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13692,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(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)))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13691]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2457,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X3,X2)))
% 9.80/10.01 | ~ class_Orderings_Oord(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X0),X1),X3)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5971_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13673,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X3,X2)))
% 9.80/10.01 | ~ class_Orderings_Oord(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X0),X1),X3)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2457]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13674,plain,
% 9.80/10.01 ( ~ class_Orderings_Oord(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2),X3))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X2,X4)),hAPP(X3,X4))) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13673]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2455,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),c_Nat_OSuc(X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5972_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13669,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),c_Nat_OSuc(X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2455]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13670,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.01 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0),c_Nat_OSuc(X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0))) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13669]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2453,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5973_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13665,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2453]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13666,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.01 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13665]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2444,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.80/10.01 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5976_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13647,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.80/10.01 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2444]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13648,plain,
% 9.80/10.01 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13647]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2440,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X3)),X2)
% 9.80/10.01 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5978_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13639,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X3)),X2)
% 9.80/10.01 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2440]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13640,plain,
% 9.80/10.01 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.80/10.01 | c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X3)),X2) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13639]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2436,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5979_3) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13631,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2436]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13632,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13631]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2426,plain,
% 9.80/10.01 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.80/10.01 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5982_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13611,plain,
% 9.80/10.01 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.80/10.01 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2426]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13612,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.80/10.01 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.80/10.01 | ~ hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13611]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2424,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2)))
% 9.80/10.01 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5983_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13607,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2)))
% 9.80/10.01 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2424]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13608,plain,
% 9.80/10.01 ( ~ class_Rings_Olinordered__idom(X0)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2))) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13607]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2422,plain,
% 9.80/10.01 ( hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5984_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13603,plain,
% 9.80/10.01 ( hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2422]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13604,plain,
% 9.80/10.01 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.01 | hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13603]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2418,plain,
% 9.80/10.01 ( hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 9.80/10.01 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5986_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13595,plain,
% 9.80/10.01 ( hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 9.80/10.01 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2418]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13596,plain,
% 9.80/10.01 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.80/10.01 | hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13595]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2416,plain,
% 9.80/10.01 ( 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)
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5987_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13591,plain,
% 9.80/10.01 ( 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)
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2416]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13592,plain,
% 9.80/10.01 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.01 | 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) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13591]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2414,plain,
% 9.80/10.01 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),X2)
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5988_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13587,plain,
% 9.80/10.01 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),X2)
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2414]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13588,plain,
% 9.80/10.01 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.01 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13587]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2410,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)),X1)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5990_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13579,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)),X1)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2410]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13580,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.01 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X0) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13579]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2407,plain,
% 9.80/10.01 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.80/10.01 | hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk55_2(X1,X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 9.80/10.01 | ~ hBOOL(hAPP(X0,X1)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5992_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13573,plain,
% 9.80/10.01 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.80/10.01 | hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk55_2(X1,X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 9.80/10.01 | ~ hBOOL(hAPP(X0,X1)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2407]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2401,plain,
% 9.80/10.01 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X0))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5994_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13561,plain,
% 9.80/10.01 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X0))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2401]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13562,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(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)))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.80/10.01 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13561]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2398,plain,
% 9.80/10.01 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 9.80/10.01 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(X0,sk1_esk14_1(X0))),hAPP(X0,sk1_esk15_1(X0)))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5995_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13555,plain,
% 9.80/10.01 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 9.80/10.01 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(X0,sk1_esk14_1(X0))),hAPP(X0,sk1_esk15_1(X0)))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2398]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13556,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(X0,sk1_esk14_1(X0))),hAPP(X0,sk1_esk15_1(X0))))
% 9.80/10.01 | c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 9.80/10.01 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13555]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2388,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.80/10.01 | ~ hBOOL(hAPP(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))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5998_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13535,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.80/10.01 | ~ hBOOL(hAPP(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))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2388]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13536,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(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)))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13535]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2386,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.80/10.01 | ~ hBOOL(hAPP(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))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5999_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13531,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.80/10.01 | ~ hBOOL(hAPP(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))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2386]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13532,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(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)))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13531]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2384,plain,
% 9.80/10.01 ( 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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6000_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13527,plain,
% 9.80/10.01 ( 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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2384]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13528,plain,
% 9.80/10.01 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.01 | 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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13527]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2382,plain,
% 9.80/10.01 ( 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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))
% 9.80/10.01 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6001_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13523,plain,
% 9.80/10.01 ( 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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))
% 9.80/10.01 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2382]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13524,plain,
% 9.80/10.01 ( ~ class_Groups_Omonoid__mult(X0)
% 9.80/10.01 | 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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13523]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2375,plain,
% 9.80/10.01 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.80/10.01 | hAPP(hAPP(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) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6003_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13509,plain,
% 9.80/10.01 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.80/10.01 | hAPP(hAPP(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) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2375]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13510,plain,
% 9.80/10.01 ( hAPP(hAPP(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)
% 9.80/10.01 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13509]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2373,plain,
% 9.80/10.01 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.80/10.01 | hAPP(hAPP(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) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6004_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13505,plain,
% 9.80/10.01 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.80/10.01 | hAPP(hAPP(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) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2373]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13506,plain,
% 9.80/10.01 ( hAPP(hAPP(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)
% 9.80/10.01 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13505]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2359,plain,
% 9.80/10.01 ( X0 = X1
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6008_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13477,plain,
% 9.80/10.01 ( X0 = X1
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2359]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13478,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.80/10.01 | X0 = X1 ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13477]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2357,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6009_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13473,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2357]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2351,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6014_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13461,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2351]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13462,plain,
% 9.80/10.01 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13461]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2345,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.80/10.01 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6016_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13449,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 9.80/10.01 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2345]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13450,plain,
% 9.80/10.01 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13449]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2342,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6017_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13443,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2342]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13444,plain,
% 9.80/10.01 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13443]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2334,plain,
% 9.80/10.01 ( c_SEQ_Osubseq(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,sk1_esk21_1(X0))),hAPP(X0,sk1_esk22_1(X0)))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6020_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13427,plain,
% 9.80/10.01 ( c_SEQ_Osubseq(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,sk1_esk21_1(X0))),hAPP(X0,sk1_esk22_1(X0)))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2334]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2320,plain,
% 9.80/10.01 ( c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6025_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13399,plain,
% 9.80/10.01 ( c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2320]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13400,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),X1))
% 9.80/10.01 | c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,X0))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(X1),X0) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13399]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2318,plain,
% 9.80/10.01 ( c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6026_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13395,plain,
% 9.80/10.01 ( c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2318]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13396,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),X1))
% 9.80/10.01 | c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,X0))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(X1),X0) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13395]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2298,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oabs__class_Oabs(X0,X1))),c_Groups_Ozero__class_Ozero(X0)))
% 9.80/10.01 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6033_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13355,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oabs__class_Oabs(X0,X1))),c_Groups_Ozero__class_Ozero(X0)))
% 9.80/10.01 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2298]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13356,plain,
% 9.80/10.01 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oabs__class_Oabs(X0,X1))),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13355]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2296,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),X1)))
% 9.80/10.01 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6034_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13351,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),X1)))
% 9.80/10.01 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2296]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2294,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),X1)))
% 9.80/10.01 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6035_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13347,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),X1)))
% 9.80/10.01 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2294]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2291,plain,
% 9.80/10.01 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.80/10.01 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk49_3(X2,X1,X0)) = X1
% 9.80/10.01 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6040_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13341,plain,
% 9.80/10.01 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.80/10.01 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk49_3(X2,X1,X0)) = X1
% 9.80/10.01 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2291]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13342,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.80/10.01 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.80/10.01 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk49_3(X2,X1,X0)) = X1 ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13341]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2288,plain,
% 9.80/10.01 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.80/10.01 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk48_3(X2,X1,X0)) = X1
% 9.80/10.01 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6041_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13335,plain,
% 9.80/10.01 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.80/10.01 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk48_3(X2,X1,X0)) = X1
% 9.80/10.01 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2288]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13336,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.80/10.01 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 9.80/10.01 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk48_3(X2,X1,X0)) = X1 ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13335]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2279,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.80/10.01 | ~ class_Lattices_Oboolean__algebra(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6044_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13317,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.80/10.01 | ~ class_Lattices_Oboolean__algebra(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2279]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13318,plain,
% 9.80/10.01 ( ~ class_Lattices_Oboolean__algebra(X0)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13317]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2273,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.80/10.01 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6046_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13305,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.80/10.01 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2273]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13306,plain,
% 9.80/10.01 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13305]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2268,plain,
% 9.80/10.01 ( hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),c_Groups_Oone__class_Oone(X0))),X1)
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6048_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13295,plain,
% 9.80/10.01 ( hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),c_Groups_Oone__class_Oone(X0))),X1)
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2268]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13296,plain,
% 9.80/10.01 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.01 | hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),c_Groups_Oone__class_Oone(X0))),X1) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13295]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2265,plain,
% 9.80/10.01 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 9.80/10.01 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.80/10.01 | ~ class_Power_Opower(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6049_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13289,plain,
% 9.80/10.01 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 9.80/10.01 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.80/10.01 | ~ class_Power_Opower(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2265]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13290,plain,
% 9.80/10.01 ( ~ class_Power_Opower(X0)
% 9.80/10.01 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 9.80/10.01 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13289]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2253,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.01 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)) = c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6052_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13265,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.01 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)) = c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2253]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13266,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 9.80/10.01 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(X0)),c_Transcendental_Oln(X1)) = c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13265]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2250,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6054_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13259,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2250]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13260,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0))) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13259]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2247,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6055_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13253,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2247]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13254,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13253]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2242,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(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)))
% 9.80/10.01 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6057_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13243,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(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)))
% 9.80/10.01 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2242]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2238,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ominus__class_Ominus(X0,X2,X3))
% 9.80/10.01 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6059_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13235,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ominus__class_Ominus(X0,X2,X3))
% 9.80/10.01 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2238]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13236,plain,
% 9.80/10.01 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.80/10.01 | c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ominus__class_Ominus(X0,X2,X3)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13235]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2230,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6062_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13219,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2230]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13220,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.01 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13219]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2218,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(X0,X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6066_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13195,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(X0,X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2218]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2216,plain,
% 9.80/10.01 ( 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))
% 9.80/10.01 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6067_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13191,plain,
% 9.80/10.01 ( 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))
% 9.80/10.01 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2216]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13192,plain,
% 9.80/10.01 ( ~ class_Groups_Omonoid__mult(X0)
% 9.80/10.01 | 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)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13191]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2214,plain,
% 9.80/10.01 ( 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))
% 9.80/10.01 | ~ class_Groups_Oab__semigroup__mult(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6068_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13187,plain,
% 9.80/10.01 ( 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))
% 9.80/10.01 | ~ class_Groups_Oab__semigroup__mult(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2214]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13188,plain,
% 9.80/10.01 ( ~ class_Groups_Oab__semigroup__mult(X0)
% 9.80/10.01 | 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)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13187]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2210,plain,
% 9.80/10.01 ( 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))
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6070_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13179,plain,
% 9.80/10.01 ( 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))
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2210]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13180,plain,
% 9.80/10.01 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.01 | 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)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13179]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2206,plain,
% 9.80/10.01 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6072_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13171,plain,
% 9.80/10.01 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2206]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13172,plain,
% 9.80/10.01 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.01 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13171]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2204,plain,
% 9.80/10.01 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 9.80/10.01 | ~ class_Groups_Oab__semigroup__add(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6073_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13167,plain,
% 9.80/10.01 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 9.80/10.01 | ~ class_Groups_Oab__semigroup__add(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2204]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13168,plain,
% 9.80/10.01 ( ~ class_Groups_Oab__semigroup__add(X0)
% 9.80/10.01 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13167]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2188,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6077_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13135,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2188]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2186,plain,
% 9.80/10.01 ( hBOOL(hAPP(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)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6078_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13131,plain,
% 9.80/10.01 ( hBOOL(hAPP(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)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2186]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2167,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6085_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13093,plain,
% 9.80/10.01 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2167]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13094,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.01 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),X0) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13093]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2165,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_RealDef_Oreal(tc_Nat_Onat,X1))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6086_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13089,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_RealDef_Oreal(tc_Nat_Onat,X1))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2165]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13090,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_RealDef_Oreal(tc_Nat_Onat,X1)))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13089]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2163,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_RealDef_Oreal(tc_Nat_Onat,X1))) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6087_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13085,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_RealDef_Oreal(tc_Nat_Onat,X1))) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2163]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13086,plain,
% 9.80/10.01 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_RealDef_Oreal(tc_Nat_Onat,X1)))
% 9.80/10.01 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13085]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2155,plain,
% 9.80/10.01 ( c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2))
% 9.80/10.01 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6090_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13069,plain,
% 9.80/10.01 ( c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2))
% 9.80/10.01 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2155]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13070,plain,
% 9.80/10.01 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.80/10.01 | c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13069]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2149,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6092_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13057,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2149]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2145,plain,
% 9.80/10.01 ( hBOOL(hAPP(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)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6094_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13049,plain,
% 9.80/10.01 ( hBOOL(hAPP(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)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2145]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2143,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6095_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13045,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2143]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2141,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6096_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13041,plain,
% 9.80/10.01 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)))
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2141]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2139,plain,
% 9.80/10.01 ( 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))
% 9.80/10.01 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6097_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13037,plain,
% 9.80/10.01 ( 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))
% 9.80/10.01 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2139]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13038,plain,
% 9.80/10.01 ( ~ class_Groups_Omonoid__mult(X0)
% 9.80/10.01 | 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)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13037]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2137,plain,
% 9.80/10.01 ( 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))
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6098_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13033,plain,
% 9.80/10.01 ( 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))
% 9.80/10.01 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2137]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13034,plain,
% 9.80/10.01 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.01 | 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)) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13033]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2135,plain,
% 9.80/10.01 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1)
% 9.80/10.01 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6099_1) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13029,plain,
% 9.80/10.01 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1)
% 9.80/10.01 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2135]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2132,plain,
% 9.80/10.01 ( c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6104_2) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13023,plain,
% 9.80/10.01 ( c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 9.80/10.01 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.80/10.01 inference(copy,[status(esa)],[c_2132]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_13024,plain,
% 9.80/10.01 ( ~ class_Rings_Olinordered__idom(X0)
% 9.80/10.01 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.80/10.01 | c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),X1) ),
% 9.80/10.01 inference(rewriting,[status(thm)],[c_13023]) ).
% 9.80/10.01
% 9.80/10.01 cnf(c_2130,plain,
% 9.80/10.01 ( c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 9.80/10.01 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.80/10.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6105_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_13019,plain,
% 9.80/10.02 ( c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 9.80/10.02 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2130]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_13020,plain,
% 9.80/10.02 ( ~ class_Rings_Olinordered__idom(X0)
% 9.80/10.02 | c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_13019]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2128,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oone__class_Oone(X0)),c_Groups_Oone__class_Oone(X0))))
% 9.80/10.02 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6106_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_13015,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oone__class_Oone(X0)),c_Groups_Oone__class_Oone(X0))))
% 9.80/10.02 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2128]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_13016,plain,
% 9.80/10.02 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oone__class_Oone(X0)),c_Groups_Oone__class_Oone(X0)))) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_13015]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2104,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oone__class_Oone(X0)),c_Groups_Oone__class_Oone(X0))),X1)
% 9.80/10.02 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6113_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12967,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oone__class_Oone(X0)),c_Groups_Oone__class_Oone(X0))),X1)
% 9.80/10.02 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2104]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12968,plain,
% 9.80/10.02 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.02 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Oone__class_Oone(X0)),c_Groups_Oone__class_Oone(X0))),X1) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12967]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2099,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6115_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12957,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2099]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12958,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12957]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2097,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6116_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12953,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2097]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2079,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X0))) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6121_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12917,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X0))) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2079]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12918,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X0)))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12917]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2073,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X0))) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6123_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12905,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X0))) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2073]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12906,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X0)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12905]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2064,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6130_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12887,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2064]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12888,plain,
% 9.80/10.02 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12887]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2058,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X0)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6132_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12875,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X0)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2058]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2055,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk57_2(X0,X1)),X1) = X0
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6133_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12869,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk57_2(X0,X1)),X1) = X0
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2055]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12870,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.80/10.02 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk57_2(X0,X1)),X1) = X0 ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12869]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2052,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk56_2(X0,X1)),X1) = X0
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6134_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12863,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk56_2(X0,X1)),X1) = X0
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2052]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12864,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
% 9.80/10.02 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk56_2(X0,X1)),X1) = X0 ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12863]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2046,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6137_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12851,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2046]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2044,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6138_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12847,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2044]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2038,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6141_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12835,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2038]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2036,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6142_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12831,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2036]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2030,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6144_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12819,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2030]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12820,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12819]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2028,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X1) = X0
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6145_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12815,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X1) = X0
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2028]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12816,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.02 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X0) = X1 ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12815]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2018,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1)),hAPP(X0,X2)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.80/10.02 | ~ c_SEQ_Osubseq(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6154_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12795,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1)),hAPP(X0,X2)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
% 9.80/10.02 | ~ c_SEQ_Osubseq(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2018]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12796,plain,
% 9.80/10.02 ( ~ c_SEQ_Osubseq(X0)
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1)),hAPP(X0,X2)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12795]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2016,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0))),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6155_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12791,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0))),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2016]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12792,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0))),X0)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12791]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2011,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_RComplete_Onatfloor(X1)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),X1)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6157_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12781,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_RComplete_Onatfloor(X1)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),X1)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2011]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12782,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_RComplete_Onatfloor(X1))) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12781]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_2000,plain,
% 9.80/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6161_0) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12759,plain,
% 9.80/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_2000]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1997,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.80/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6161_3) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12753,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.80/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1997]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12754,plain,
% 9.80/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12753]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1996,plain,
% 9.80/10.02 ( ~ class_Orderings_Opreorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6162_0) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12751,plain,
% 9.80/10.02 ( ~ class_Orderings_Opreorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1996]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1993,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.80/10.02 | ~ class_Orderings_Opreorder(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6162_3) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12745,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.80/10.02 | ~ class_Orderings_Opreorder(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1993]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12746,plain,
% 9.80/10.02 ( ~ class_Orderings_Opreorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12745]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1984,plain,
% 9.80/10.02 ( ~ class_Orderings_Opreorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6165_0) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12727,plain,
% 9.80/10.02 ( ~ class_Orderings_Opreorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1984]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1983,plain,
% 9.80/10.02 ( ~ class_Orderings_Opreorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6165_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12725,plain,
% 9.80/10.02 ( ~ class_Orderings_Opreorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X3)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1983]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1981,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.80/10.02 | ~ class_Orderings_Opreorder(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6165_3) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12721,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.80/10.02 | ~ class_Orderings_Opreorder(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1981]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12722,plain,
% 9.80/10.02 ( ~ class_Orderings_Opreorder(X0)
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12721]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1980,plain,
% 9.80/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6166_0) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12719,plain,
% 9.80/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1980]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1979,plain,
% 9.80/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6166_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12717,plain,
% 9.80/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X1)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1979]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1977,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.80/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6166_3) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12713,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.80/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1977]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12714,plain,
% 9.80/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12713]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1976,plain,
% 9.80/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6167_0) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12711,plain,
% 9.80/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1976]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1975,plain,
% 9.80/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6167_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12709,plain,
% 9.80/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1975]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1973,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.80/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6167_3) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12705,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.80/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1973]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12706,plain,
% 9.80/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12705]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1972,plain,
% 9.80/10.02 ( ~ class_Orderings_Opreorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6168_0) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12703,plain,
% 9.80/10.02 ( ~ class_Orderings_Opreorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1972]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1971,plain,
% 9.80/10.02 ( ~ class_Orderings_Opreorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6168_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12701,plain,
% 9.80/10.02 ( ~ class_Orderings_Opreorder(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1971]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1969,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.80/10.02 | ~ class_Orderings_Opreorder(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6168_3) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12697,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.80/10.02 | ~ class_Orderings_Opreorder(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1969]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12698,plain,
% 9.80/10.02 ( ~ class_Orderings_Opreorder(X0)
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12697]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1959,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3))
% 9.80/10.02 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X3) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6172_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12677,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3))
% 9.80/10.02 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X3) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1959]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1955,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6173_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12669,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1955]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1945,plain,
% 9.80/10.02 ( c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),c_RealDef_Oreal(tc_Nat_Onat,X1))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),X1)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6177_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12649,plain,
% 9.80/10.02 ( c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),c_RealDef_Oreal(tc_Nat_Onat,X1))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),X1)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1945]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12650,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),c_RealDef_Oreal(tc_Nat_Onat,X1))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),X1) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12649]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1943,plain,
% 9.80/10.02 ( c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),c_RealDef_Oreal(tc_Nat_Onat,X1))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X0)),X1)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6178_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12645,plain,
% 9.80/10.02 ( c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),c_RealDef_Oreal(tc_Nat_Onat,X1))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X0)),X1)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1943]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12646,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),c_RealDef_Oreal(tc_Nat_Onat,X1))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X0)),X1) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12645]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1941,plain,
% 9.80/10.02 ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6179_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12641,plain,
% 9.80/10.02 ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1941]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12642,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.02 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X0)) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12641]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1937,plain,
% 9.80/10.02 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.80/10.02 | ~ hBOOL(hAPP(X0,X1))
% 9.80/10.02 | ~ hBOOL(hAPP(X0,X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),sk1_esk55_2(X1,X0))) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6180_3) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12633,plain,
% 9.80/10.02 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.80/10.02 | ~ hBOOL(hAPP(X0,X1))
% 9.80/10.02 | ~ hBOOL(hAPP(X0,X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),sk1_esk55_2(X1,X0))) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1937]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12634,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),sk1_esk55_2(X1,X2)))
% 9.80/10.02 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.80/10.02 | ~ hBOOL(hAPP(X2,X1))
% 9.80/10.02 | ~ hBOOL(hAPP(X2,X0)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12633]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1932,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_RealDef_Oreal(tc_Nat_Onat,X1)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6182_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12623,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_RealDef_Oreal(tc_Nat_Onat,X1)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1932]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1930,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_RealDef_Oreal(tc_Nat_Onat,X1)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6183_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12619,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_RealDef_Oreal(tc_Nat_Onat,X1)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1930]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1928,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0)),c_Transcendental_Oln(X1)) = c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6185_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12615,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0)),c_Transcendental_Oln(X1)) = c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1928]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12616,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Transcendental_Oln(X0)) = c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X1)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12615]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1925,plain,
% 9.80/10.02 ( hAPP(hAPP(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)
% 9.80/10.02 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.80/10.02 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6186_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12609,plain,
% 9.80/10.02 ( hAPP(hAPP(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)
% 9.80/10.02 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.80/10.02 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1925]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1920,plain,
% 9.80/10.02 ( 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))
% 9.80/10.02 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6189_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12599,plain,
% 9.80/10.02 ( 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))
% 9.80/10.02 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1920]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12600,plain,
% 9.80/10.02 ( ~ class_Groups_Omonoid__mult(X0)
% 9.80/10.02 | 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)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12599]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1918,plain,
% 9.80/10.02 ( 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))
% 9.80/10.02 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6190_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12595,plain,
% 9.80/10.02 ( 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))
% 9.80/10.02 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1918]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12596,plain,
% 9.80/10.02 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.02 | 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)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12595]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1916,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.80/10.02 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6191_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12591,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 9.80/10.02 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1916]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12592,plain,
% 9.80/10.02 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12591]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1914,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Oone__class_Oone(X0))))
% 9.80/10.02 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6192_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12587,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Oone__class_Oone(X0))))
% 9.80/10.02 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1914]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12588,plain,
% 9.80/10.02 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Oone__class_Oone(X0)))) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12587]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1912,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1)))
% 9.80/10.02 | ~ class_Rings_Olinordered__ring(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6193_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12583,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1)))
% 9.80/10.02 | ~ class_Rings_Olinordered__ring(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1912]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12584,plain,
% 9.80/10.02 ( ~ class_Rings_Olinordered__ring(X0)
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1))) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12583]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1910,plain,
% 9.80/10.02 ( 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))
% 9.80/10.02 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6196_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12579,plain,
% 9.80/10.02 ( 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))
% 9.80/10.02 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1910]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12580,plain,
% 9.80/10.02 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.02 | 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)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12579]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1908,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3))
% 9.80/10.02 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6197_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12575,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3))
% 9.80/10.02 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1908]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12576,plain,
% 9.80/10.02 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.80/10.02 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12575]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1907,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6198_0) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12573,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1907]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1906,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6198_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12571,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1906]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1905,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6198_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12569,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1905]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1904,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6199_0) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12567,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1904]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1903,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6199_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12565,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1903]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1902,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6199_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12563,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1902]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1901,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6200_0) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12561,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1901]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1900,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6200_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12559,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1900]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1899,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6200_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12557,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1899]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1897,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2)) = X2
% 9.80/10.02 | ~ class_Groups_Ogroup__add(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6201_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12553,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2)) = X2
% 9.80/10.02 | ~ class_Groups_Ogroup__add(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1897]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12554,plain,
% 9.80/10.02 ( ~ class_Groups_Ogroup__add(X0)
% 9.80/10.02 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2)) = X2 ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12553]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1888,plain,
% 9.80/10.02 ( c_SEQ_Omonoseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6205_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12535,plain,
% 9.80/10.02 ( c_SEQ_Omonoseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1888]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12536,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.80/10.02 | c_SEQ_Omonoseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12535]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1885,plain,
% 9.80/10.02 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6206_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12529,plain,
% 9.80/10.02 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1885]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12530,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.80/10.02 | c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12529]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1882,plain,
% 9.80/10.02 ( c_SEQ_OBseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6207_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12523,plain,
% 9.80/10.02 ( c_SEQ_OBseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1882]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12524,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.80/10.02 | c_SEQ_OBseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12523]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1879,plain,
% 9.80/10.02 ( c_SEQ_OCauchy(X0,X1)
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),sk1_esk45_3(X1,X0,X2)))
% 9.80/10.02 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6208_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12517,plain,
% 9.80/10.02 ( c_SEQ_OCauchy(X0,X1)
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),sk1_esk45_3(X1,X0,X2)))
% 9.80/10.02 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1879]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12518,plain,
% 9.80/10.02 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),sk1_esk45_3(X2,X0,X1)))
% 9.80/10.02 | c_SEQ_OCauchy(X0,X2) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12517]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1876,plain,
% 9.80/10.02 ( c_SEQ_OCauchy(X0,X1)
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),sk1_esk46_3(X1,X0,X2)))
% 9.80/10.02 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6209_2) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12511,plain,
% 9.80/10.02 ( c_SEQ_OCauchy(X0,X1)
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),sk1_esk46_3(X1,X0,X2)))
% 9.80/10.02 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1876]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12512,plain,
% 9.80/10.02 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),sk1_esk46_3(X2,X0,X1)))
% 9.80/10.02 | c_SEQ_OCauchy(X0,X2) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12511]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1867,plain,
% 9.80/10.02 ( c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6212_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12493,plain,
% 9.80/10.02 ( c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1867]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12494,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12493]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1865,plain,
% 9.80/10.02 ( c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6213_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12489,plain,
% 9.80/10.02 ( c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1865]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12490,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12489]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1863,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.80/10.02 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6215_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12485,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.80/10.02 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1863]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12486,plain,
% 9.80/10.02 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12485]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1861,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X0))) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6216_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12481,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X0))) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1861]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12482,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X0)))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12481]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1859,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 9.80/10.02 | ~ class_Groups_Oab__group__add(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6217_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12477,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 9.80/10.02 | ~ class_Groups_Oab__group__add(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1859]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12478,plain,
% 9.80/10.02 ( ~ class_Groups_Oab__group__add(X0)
% 9.80/10.02 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12477]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1857,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1))
% 9.80/10.02 | ~ class_Groups_Ogroup__add(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6218_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12473,plain,
% 9.80/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1))
% 9.80/10.02 | ~ class_Groups_Ogroup__add(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1857]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12474,plain,
% 9.80/10.02 ( ~ class_Groups_Ogroup__add(X0)
% 9.80/10.02 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12473]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1855,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),c_Groups_Oabs__class_Oabs(X0,X1)))
% 9.80/10.02 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6219_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12469,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),c_Groups_Oabs__class_Oabs(X0,X1)))
% 9.80/10.02 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1855]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12470,plain,
% 9.80/10.02 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),c_Groups_Oabs__class_Oabs(X0,X1))) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12469]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1849,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6221_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12457,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),X1))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1849]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12458,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),X1)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12457]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1833,plain,
% 9.80/10.02 ( hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X0,X1),X2,X3),X4) = c_Groups_Ominus__class_Ominus(X1,hAPP(X2,X4),hAPP(X3,X4))
% 9.80/10.02 | ~ class_Groups_Ominus(X1) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6226_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12425,plain,
% 9.80/10.02 ( hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X0,X1),X2,X3),X4) = c_Groups_Ominus__class_Ominus(X1,hAPP(X2,X4),hAPP(X3,X4))
% 9.80/10.02 | ~ class_Groups_Ominus(X1) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1833]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12426,plain,
% 9.80/10.02 ( ~ class_Groups_Ominus(X0)
% 9.80/10.02 | hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,X0),X2,X3),X4) = c_Groups_Ominus__class_Ominus(X0,hAPP(X2,X4),hAPP(X3,X4)) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12425]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1828,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,sk1_esk50_1(X0))))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6230_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12415,plain,
% 9.80/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,sk1_esk50_1(X0))))
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1828]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12416,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.80/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,sk1_esk50_1(X0)))) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12415]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1822,plain,
% 9.80/10.02 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X1
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6232_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12403,plain,
% 9.80/10.02 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X1
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1822]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12404,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.80/10.02 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X0 ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12403]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1820,plain,
% 9.80/10.02 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 9.80/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6233_1) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12399,plain,
% 9.80/10.02 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 9.80/10.02 inference(copy,[status(esa)],[c_1820]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_12400,plain,
% 9.80/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.80/10.02 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 9.80/10.02 inference(rewriting,[status(thm)],[c_12399]) ).
% 9.80/10.02
% 9.80/10.02 cnf(c_1818,plain,
% 9.80/10.02 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.80/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6234_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12395,plain,
% 9.82/10.02 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1818]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12396,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.82/10.02 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12395]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1814,plain,
% 9.82/10.02 ( hBOOL(hAPP(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)))
% 9.82/10.02 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6236_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12387,plain,
% 9.82/10.02 ( hBOOL(hAPP(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)))
% 9.82/10.02 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1814]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1812,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X2) = X1
% 9.82/10.02 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6237_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12383,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X2) = X1
% 9.82/10.02 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1812]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12384,plain,
% 9.82/10.02 ( ~ class_Groups_Ogroup__add(X0)
% 9.82/10.02 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X2) = X1 ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12383]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1810,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X0)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6238_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12379,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X0)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1810]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1806,plain,
% 9.82/10.02 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.02 | hBOOL(hAPP(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))) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6242_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12371,plain,
% 9.82/10.02 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.02 | hBOOL(hAPP(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))) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1806]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12372,plain,
% 9.82/10.02 ( hBOOL(hAPP(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)))
% 9.82/10.02 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12371]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1804,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 9.82/10.02 | X0 != X1 ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6244_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12367,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 9.82/10.02 | X0 != X1 ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1804]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1802,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6245_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12363,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1802]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12364,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.02 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1 ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12363]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1798,plain,
% 9.82/10.02 ( ~ class_Orderings_Olinorder(X0)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | X1 != X2 ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6246_3) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12355,plain,
% 9.82/10.02 ( ~ class_Orderings_Olinorder(X0)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | X1 != X2 ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1798]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1782,plain,
% 9.82/10.02 ( X0 = X1
% 9.82/10.02 | ~ class_Orderings_Oorder(X2)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X1),X0))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X0),X1)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6250_3) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12323,plain,
% 9.82/10.02 ( X0 = X1
% 9.82/10.02 | ~ class_Orderings_Oorder(X2)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X1),X0))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X0),X1)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1782]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12324,plain,
% 9.82/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.82/10.02 | X2 = X1 ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12323]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1783,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.02 | X1 = X2
% 9.82/10.02 | ~ class_Orderings_Oorder(X0)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6250_2) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12325,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.02 | X1 = X2
% 9.82/10.02 | ~ class_Orderings_Oorder(X0)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1783]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12326,plain,
% 9.82/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.82/10.02 | X1 = X2 ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12325]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1770,plain,
% 9.82/10.02 ( ~ class_Orderings_Olinorder(X0)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6254_2) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12299,plain,
% 9.82/10.02 ( ~ class_Orderings_Olinorder(X0)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1770]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12300,plain,
% 9.82/10.02 ( ~ class_Orderings_Olinorder(X0)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12299]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1767,plain,
% 9.82/10.02 ( ~ class_Orderings_Olinorder(X0)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6255_2) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12293,plain,
% 9.82/10.02 ( ~ class_Orderings_Olinorder(X0)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1767]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1755,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.82/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6259_2) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12269,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.82/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1755]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12270,plain,
% 9.82/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12269]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1752,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.82/10.02 | ~ class_Orderings_Opreorder(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6260_2) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12263,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.82/10.02 | ~ class_Orderings_Opreorder(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1752]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12264,plain,
% 9.82/10.02 ( ~ class_Orderings_Opreorder(X0)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12263]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1750,plain,
% 9.82/10.02 ( c_Groups_Ominus__class_Ominus(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2))
% 9.82/10.02 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6261_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12259,plain,
% 9.82/10.02 ( c_Groups_Ominus__class_Ominus(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2))
% 9.82/10.02 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1750]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12260,plain,
% 9.82/10.02 ( ~ class_Groups_Oab__group__add(X0)
% 9.82/10.02 | c_Groups_Ominus__class_Ominus(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12259]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1742,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1)),hAPP(X0,c_Nat_OSuc(X1))))
% 9.82/10.02 | ~ c_SEQ_Osubseq(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6264_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12243,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1)),hAPP(X0,c_Nat_OSuc(X1))))
% 9.82/10.02 | ~ c_SEQ_Osubseq(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1742]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12244,plain,
% 9.82/10.02 ( ~ c_SEQ_Osubseq(X0)
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1)),hAPP(X0,c_Nat_OSuc(X1)))) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12243]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1737,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X0))) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6266_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12233,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X0))) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1737]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12234,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12233]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1733,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.82/10.02 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6268_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12225,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.82/10.02 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1733]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12226,plain,
% 9.82/10.02 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.82/10.02 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12225]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1731,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.82/10.02 | ~ class_Rings_Oring(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6269_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12221,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.82/10.02 | ~ class_Rings_Oring(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1731]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12222,plain,
% 9.82/10.02 ( ~ class_Rings_Oring(X0)
% 9.82/10.02 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12221]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1727,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),c_Nat_OSuc(X1))) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6275_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12213,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),c_Nat_OSuc(X1))) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1727]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12214,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),c_Nat_OSuc(X1)))
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12213]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1725,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Osgn__class_Osgn(X0,X2)) = c_Groups_Osgn__class_Osgn(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.82/10.02 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6276_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12209,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Osgn__class_Osgn(X0,X2)) = c_Groups_Osgn__class_Osgn(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.82/10.02 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1725]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12210,plain,
% 9.82/10.02 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.02 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Osgn__class_Osgn(X0,X2)) = c_Groups_Osgn__class_Osgn(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12209]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1723,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Osgn__class_Osgn(X0,X2)) = c_Groups_Osgn__class_Osgn(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.82/10.02 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6277_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12205,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Osgn__class_Osgn(X0,X2)) = c_Groups_Osgn__class_Osgn(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.82/10.02 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1723]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12206,plain,
% 9.82/10.02 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 9.82/10.02 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Osgn__class_Osgn(X0,X2)) = c_Groups_Osgn__class_Osgn(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12205]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1721,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.82/10.02 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6278_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12201,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.82/10.02 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1721]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12202,plain,
% 9.82/10.02 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.02 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12201]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1718,plain,
% 9.82/10.02 ( c_SEQ_Oincseq(X0,X1)
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk16_2(X1,X0)),sk1_esk17_2(X1,X0)))
% 9.82/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6279_2) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12195,plain,
% 9.82/10.02 ( c_SEQ_Oincseq(X0,X1)
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk16_2(X1,X0)),sk1_esk17_2(X1,X0)))
% 9.82/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1718]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12196,plain,
% 9.82/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk16_2(X1,X0)),sk1_esk17_2(X1,X0)))
% 9.82/10.02 | c_SEQ_Oincseq(X0,X1) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12195]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1715,plain,
% 9.82/10.02 ( c_SEQ_Odecseq(X0,X1)
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk12_2(X1,X0)),sk1_esk13_2(X1,X0)))
% 9.82/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6280_2) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12189,plain,
% 9.82/10.02 ( c_SEQ_Odecseq(X0,X1)
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk12_2(X1,X0)),sk1_esk13_2(X1,X0)))
% 9.82/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1715]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12190,plain,
% 9.82/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk12_2(X1,X0)),sk1_esk13_2(X1,X0)))
% 9.82/10.02 | c_SEQ_Odecseq(X0,X1) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12189]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1712,plain,
% 9.82/10.02 ( c_SEQ_Omonoseq(X0,X1)
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk4_2(X1,X0)),sk1_esk5_2(X1,X0)))
% 9.82/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6281_2) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12183,plain,
% 9.82/10.02 ( c_SEQ_Omonoseq(X0,X1)
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk4_2(X1,X0)),sk1_esk5_2(X1,X0)))
% 9.82/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1712]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12184,plain,
% 9.82/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk4_2(X1,X0)),sk1_esk5_2(X1,X0)))
% 9.82/10.02 | c_SEQ_Omonoseq(X0,X1) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12183]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1709,plain,
% 9.82/10.02 ( c_SEQ_Omonoseq(X0,X1)
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk6_2(X1,X0)),sk1_esk7_2(X1,X0)))
% 9.82/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6282_2) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12177,plain,
% 9.82/10.02 ( c_SEQ_Omonoseq(X0,X1)
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk6_2(X1,X0)),sk1_esk7_2(X1,X0)))
% 9.82/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1709]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12178,plain,
% 9.82/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk6_2(X1,X0)),sk1_esk7_2(X1,X0)))
% 9.82/10.02 | c_SEQ_Omonoseq(X0,X1) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12177]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1704,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6284_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12167,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1704]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1702,plain,
% 9.82/10.02 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))
% 9.82/10.02 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6286_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12163,plain,
% 9.82/10.02 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))
% 9.82/10.02 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1702]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12164,plain,
% 9.82/10.02 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.82/10.02 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12163]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1700,plain,
% 9.82/10.02 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))
% 9.82/10.02 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6287_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12159,plain,
% 9.82/10.02 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))
% 9.82/10.02 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1700]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12160,plain,
% 9.82/10.02 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.82/10.02 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12159]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1695,plain,
% 9.82/10.02 ( 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))
% 9.82/10.02 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6289_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12149,plain,
% 9.82/10.02 ( 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))
% 9.82/10.02 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1695]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12150,plain,
% 9.82/10.02 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 9.82/10.02 | 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)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12149]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1693,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X0))) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6290_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12145,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X0))) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1693]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1691,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.82/10.02 | X0 = X1
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6291_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12141,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.82/10.02 | X0 = X1
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1691]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12142,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0))
% 9.82/10.02 | X0 = X1 ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12141]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1688,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.02 | X0 = X1
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6292_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12135,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.02 | X0 = X1
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1688]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12136,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 9.82/10.02 | X0 = X1 ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12135]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1685,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.82/10.02 | X0 = X1
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6293_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12129,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.82/10.02 | X0 = X1
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1685]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12130,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
% 9.82/10.02 | X0 = X1 ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12129]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1682,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X0)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6294_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12123,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X0)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1682]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1680,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X0)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6295_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12119,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X0)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1680]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1678,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),X0))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6296_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12115,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),X0))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1678]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12116,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0)),X0)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12115]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1676,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X0)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6297_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12111,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X0)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1676]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12112,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X0))) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12111]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1674,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)) = X2
% 9.82/10.02 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6298_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12107,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)) = X2
% 9.82/10.02 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1674]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12108,plain,
% 9.82/10.02 ( ~ class_Groups_Ogroup__add(X0)
% 9.82/10.02 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)) = X2 ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12107]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1668,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6300_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12095,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1668]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12096,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12095]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1658,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),X1)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6304_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12075,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),X1)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1658]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12076,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),X1))
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12075]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1654,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),c_Nat_OSuc(X1)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6306_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12067,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0)),c_Nat_OSuc(X1)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1654]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1652,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6307_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12063,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1652]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12064,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1))) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12063]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1650,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_RComplete_Onatceiling(X1)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6308_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12059,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_RComplete_Onatceiling(X1)))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1650]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12060,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_RComplete_Onatceiling(X1))) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12059]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1648,plain,
% 9.82/10.02 ( c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2)
% 9.82/10.02 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6309_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12055,plain,
% 9.82/10.02 ( c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2)
% 9.82/10.02 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1648]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12056,plain,
% 9.82/10.02 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.02 | c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12055]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1646,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6310_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12051,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1646]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12052,plain,
% 9.82/10.02 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0))
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12051]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1644,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6311_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12047,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1644]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1642,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6312_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12043,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1642]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12044,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.02 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X0 ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12043]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1640,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)
% 9.82/10.02 | ~ class_Rings_Oring(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6313_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12039,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)
% 9.82/10.02 | ~ class_Rings_Oring(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1640]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12040,plain,
% 9.82/10.02 ( ~ class_Rings_Oring(X0)
% 9.82/10.02 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12039]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1638,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 9.82/10.02 | ~ class_Rings_Oring(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6314_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12035,plain,
% 9.82/10.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 9.82/10.02 | ~ class_Rings_Oring(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1638]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12036,plain,
% 9.82/10.02 ( ~ class_Rings_Oring(X0)
% 9.82/10.02 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12035]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1627,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.82/10.02 | X1 != X3
% 9.82/10.02 | ~ class_Orderings_Oord(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6317_3) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12013,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.82/10.02 | X1 != X3
% 9.82/10.02 | ~ class_Orderings_Oord(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1627]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12014,plain,
% 9.82/10.02 ( ~ class_Orderings_Oord(X0)
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.82/10.02 | X1 != X3 ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12013]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1623,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.82/10.02 | X2 != X3
% 9.82/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6318_3) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12005,plain,
% 9.82/10.02 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.82/10.02 | X2 != X3
% 9.82/10.02 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.02 inference(copy,[status(esa)],[c_1623]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12006,plain,
% 9.82/10.02 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.82/10.02 | X2 != X3 ),
% 9.82/10.02 inference(rewriting,[status(thm)],[c_12005]) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_1621,plain,
% 9.82/10.02 ( ~ class_Orderings_Oord(X0)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.02 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.82/10.02 | X2 != X3 ),
% 9.82/10.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6319_1) ).
% 9.82/10.02
% 9.82/10.02 cnf(c_12001,plain,
% 9.82/10.02 ( ~ class_Orderings_Oord(X0)
% 9.82/10.02 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X3))
% 9.82/10.03 | X2 != X3 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1621]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1617,plain,
% 9.82/10.03 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.82/10.03 | X1 != X3 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6320_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11993,plain,
% 9.82/10.03 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X3),X2))
% 9.82/10.03 | X1 != X3 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1617]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1613,plain,
% 9.82/10.03 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.82/10.03 | X1 != X3 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6321_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11985,plain,
% 9.82/10.03 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.82/10.03 | X1 != X3 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1613]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1609,plain,
% 9.82/10.03 ( ~ class_Orderings_Oord(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.82/10.03 | X2 != X3 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6322_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11977,plain,
% 9.82/10.03 ( ~ class_Orderings_Oord(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.82/10.03 | X2 != X3 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1609]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1603,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.82/10.03 | X2 != X3
% 9.82/10.03 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6323_3) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11965,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.82/10.03 | X2 != X3
% 9.82/10.03 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1603]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11966,plain,
% 9.82/10.03 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 9.82/10.03 | X2 != X3 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11965]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1599,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.82/10.03 | X1 != X3
% 9.82/10.03 | ~ class_Orderings_Oord(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6324_3) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11957,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.82/10.03 | X1 != X3
% 9.82/10.03 | ~ class_Orderings_Oord(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1599]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11958,plain,
% 9.82/10.03 ( ~ class_Orderings_Oord(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 9.82/10.03 | X1 != X3 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11957]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1593,plain,
% 9.82/10.03 ( 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)
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6326_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11945,plain,
% 9.82/10.03 ( 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)
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1593]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11946,plain,
% 9.82/10.03 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 9.82/10.03 | 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) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11945]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1573,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | X2 = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6331_3) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11905,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | X2 = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1573]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11906,plain,
% 9.82/10.03 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | X2 = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11905]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1557,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | X1 = X2
% 9.82/10.03 | ~ class_Orderings_Oorder(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6335_3) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11873,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | X1 = X2
% 9.82/10.03 | ~ class_Orderings_Oorder(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1557]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11874,plain,
% 9.82/10.03 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | X1 = X2 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11873]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1553,plain,
% 9.82/10.03 ( 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))
% 9.82/10.03 | ~ class_Power_Opower(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6337_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11865,plain,
% 9.82/10.03 ( 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))
% 9.82/10.03 | ~ class_Power_Opower(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1553]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11866,plain,
% 9.82/10.03 ( ~ class_Power_Opower(X0)
% 9.82/10.03 | 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)) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11865]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1549,plain,
% 9.82/10.03 ( 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))
% 9.82/10.03 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6339_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11857,plain,
% 9.82/10.03 ( 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))
% 9.82/10.03 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1549]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11858,plain,
% 9.82/10.03 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.82/10.03 | 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)) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11857]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1545,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6341_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11849,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1545]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11850,plain,
% 9.82/10.03 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11849]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1543,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.82/10.03 | ~ class_Rings_Oring(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6342_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11845,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 9.82/10.03 | ~ class_Rings_Oring(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1543]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11846,plain,
% 9.82/10.03 ( ~ class_Rings_Oring(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11845]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1528,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | ~ class_Orderings_Opreorder(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6347_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11815,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | ~ class_Orderings_Opreorder(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1528]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11816,plain,
% 9.82/10.03 ( ~ class_Orderings_Opreorder(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2)) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11815]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1516,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X0))) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6351_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11791,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X0))) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1516]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11792,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | X1 = X0 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11791]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1513,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1))) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6352_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11785,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1))) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1513]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11786,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | X0 = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11785]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1511,plain,
% 9.82/10.03 ( 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)
% 9.82/10.03 | ~ class_Lattices_Oab__semigroup__idem__mult(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6363_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11781,plain,
% 9.82/10.03 ( 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)
% 9.82/10.03 | ~ class_Lattices_Oab__semigroup__idem__mult(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1511]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11782,plain,
% 9.82/10.03 ( ~ class_Lattices_Oab__semigroup__idem__mult(X0)
% 9.82/10.03 | 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) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11781]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1501,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X0,X1)),X2),X3) = hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(X2,X3))
% 9.82/10.03 | ~ class_Groups_Ouminus(X1) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6368_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11761,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X0,X1)),X2),X3) = hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(X2,X3))
% 9.82/10.03 | ~ class_Groups_Ouminus(X1) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1501]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11762,plain,
% 9.82/10.03 ( ~ class_Groups_Ouminus(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,X0)),X2),X3) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(X2,X3)) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11761]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1499,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6369_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11757,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1499]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11758,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1))) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11757]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1495,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6371_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11749,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1495]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1481,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.82/10.03 | X0 = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6375_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11721,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.82/10.03 | X0 = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1481]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11722,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.82/10.03 | X0 = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11721]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1472,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | X0 = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6378_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11703,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | X0 = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1472]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11704,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | X0 = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11703]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1466,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.82/10.03 | X0 = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6380_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11691,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.82/10.03 | X0 = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1466]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11692,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.82/10.03 | X0 = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11691]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1460,plain,
% 9.82/10.03 ( c_Groups_Osgn__class_Osgn(X0,X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0))
% 9.82/10.03 | ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6382_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11679,plain,
% 9.82/10.03 ( c_Groups_Osgn__class_Osgn(X0,X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0))
% 9.82/10.03 | ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1460]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11680,plain,
% 9.82/10.03 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(X0,X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11679]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1458,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6383_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11675,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1458]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1448,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6388_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11655,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1448]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1444,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6390_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11647,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1444]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1438,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),c_Groups_Ozero__class_Ozero(X0)))
% 9.82/10.03 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6396_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11635,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),c_Groups_Ozero__class_Ozero(X0)))
% 9.82/10.03 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1438]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11636,plain,
% 9.82/10.03 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11635]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1436,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),c_Groups_Ozero__class_Ozero(X0)))
% 9.82/10.03 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6397_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11631,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),c_Groups_Ozero__class_Ozero(X0)))
% 9.82/10.03 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1436]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11632,plain,
% 9.82/10.03 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),c_Groups_Ozero__class_Ozero(X0))) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11631]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1430,plain,
% 9.82/10.03 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Oone__class_Oone(X0)
% 9.82/10.03 | ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6399_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11619,plain,
% 9.82/10.03 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Oone__class_Oone(X0)
% 9.82/10.03 | ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1430]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11620,plain,
% 9.82/10.03 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Oone__class_Oone(X0) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11619]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1428,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),sk1_esk11_2(X1,X0)) = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6400_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11615,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),sk1_esk11_2(X1,X0)) = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1428]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11616,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),sk1_esk11_2(X1,X0)) = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11615]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1426,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),sk1_esk10_2(X1,X0)) = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6401_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11611,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),sk1_esk10_2(X1,X0)) = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1426]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11612,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),sk1_esk10_2(X1,X0)) = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11611]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1423,plain,
% 9.82/10.03 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.82/10.03 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6402_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11605,plain,
% 9.82/10.03 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.82/10.03 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1423]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11606,plain,
% 9.82/10.03 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.82/10.03 | c_Groups_Oabs__class_Oabs(X0,X1) = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11605]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1420,plain,
% 9.82/10.03 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.82/10.03 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6403_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11599,plain,
% 9.82/10.03 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.82/10.03 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1420]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11600,plain,
% 9.82/10.03 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.82/10.03 | c_Groups_Oabs__class_Oabs(X0,X1) = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11599]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1417,plain,
% 9.82/10.03 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.82/10.03 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6404_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11593,plain,
% 9.82/10.03 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.82/10.03 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1417]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11594,plain,
% 9.82/10.03 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.82/10.03 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11593]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1411,plain,
% 9.82/10.03 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.82/10.03 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6406_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11581,plain,
% 9.82/10.03 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.82/10.03 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1411]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11582,plain,
% 9.82/10.03 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.82/10.03 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11581]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1409,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1)
% 9.82/10.03 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6407_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11577,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1)
% 9.82/10.03 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1409]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11578,plain,
% 9.82/10.03 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11577]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1407,plain,
% 9.82/10.03 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(X0,X2,X1)
% 9.82/10.03 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6408_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11573,plain,
% 9.82/10.03 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(X0,X2,X1)
% 9.82/10.03 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1407]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11574,plain,
% 9.82/10.03 ( ~ class_Groups_Oab__group__add(X0)
% 9.82/10.03 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(X0,X2,X1) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11573]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1403,plain,
% 9.82/10.03 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1) = c_Nat__Transfer_Otsub(X0,X1)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6411_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11565,plain,
% 9.82/10.03 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1) = c_Nat__Transfer_Otsub(X0,X1)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1403]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11566,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.82/10.03 | c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0) = c_Nat__Transfer_Otsub(X1,X0) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11565]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1401,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | 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) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6413_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11561,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | 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) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1401]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11562,plain,
% 9.82/10.03 ( 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)
% 9.82/10.03 | X1 = X2 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11561]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1391,plain,
% 9.82/10.03 ( 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)
% 9.82/10.03 | c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)) != X0 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6416_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11541,plain,
% 9.82/10.03 ( 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)
% 9.82/10.03 | c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)) != X0 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1391]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1389,plain,
% 9.82/10.03 ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.82/10.03 | c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6417_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11537,plain,
% 9.82/10.03 ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.82/10.03 | c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1389]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11538,plain,
% 9.82/10.03 ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)) != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.82/10.03 | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11537]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1387,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0))),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)
% 9.82/10.03 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6418_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11533,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0))),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)
% 9.82/10.03 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1387]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11534,plain,
% 9.82/10.03 ( ~ class_Rings_Ocomm__ring__1(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0))),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11533]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1385,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.82/10.03 | X0 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6419_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11529,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 9.82/10.03 | X0 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1385]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1383,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.82/10.03 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6420_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11525,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.82/10.03 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1383]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1381,plain,
% 9.82/10.03 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X0 = X1
% 9.82/10.03 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6421_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11521,plain,
% 9.82/10.03 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X0 = X1
% 9.82/10.03 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1381]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11522,plain,
% 9.82/10.03 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X0 = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11521]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1376,plain,
% 9.82/10.03 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6423_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11511,plain,
% 9.82/10.03 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1376]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11512,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11511]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1344,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | X2 = X1
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.82/10.03 | ~ class_Orderings_Olinorder(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6431_3) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11447,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | X2 = X1
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.82/10.03 | ~ class_Orderings_Olinorder(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1344]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11448,plain,
% 9.82/10.03 ( ~ class_Orderings_Olinorder(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.82/10.03 | X2 = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11447]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1348,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.82/10.03 | X2 = X1
% 9.82/10.03 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6430_3) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11455,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.82/10.03 | X2 = X1
% 9.82/10.03 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1348]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11456,plain,
% 9.82/10.03 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.82/10.03 | X2 = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11455]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1346,plain,
% 9.82/10.03 ( ~ class_Orderings_Olinorder(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.82/10.03 | X1 = X2 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6431_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11451,plain,
% 9.82/10.03 ( ~ class_Orderings_Olinorder(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.82/10.03 | X1 = X2 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1346]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1335,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X1)
% 9.82/10.03 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6434_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11429,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X1)
% 9.82/10.03 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1335]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11430,plain,
% 9.82/10.03 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)
% 9.82/10.03 | X2 = X3 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11429]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1332,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X1)
% 9.82/10.03 | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6435_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11423,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X1)
% 9.82/10.03 | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1332]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11424,plain,
% 9.82/10.03 ( ~ class_Groups_Ocancel__ab__semigroup__add(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)
% 9.82/10.03 | X2 = X3 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11423]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1329,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X3)
% 9.82/10.03 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6436_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11417,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X3)
% 9.82/10.03 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1329]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11418,plain,
% 9.82/10.03 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)
% 9.82/10.03 | X1 = X3 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11417]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1314,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.82/10.03 | ~ class_Orderings_Olinorder(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6441_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11387,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1))
% 9.82/10.03 | ~ class_Orderings_Olinorder(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1314]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11388,plain,
% 9.82/10.03 ( ~ class_Orderings_Olinorder(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X2),X1)) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11387]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1308,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.82/10.03 | ~ class_Orderings_Olinorder(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6443_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11375,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 9.82/10.03 | ~ class_Orderings_Olinorder(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1308]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11376,plain,
% 9.82/10.03 ( ~ class_Orderings_Olinorder(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11375]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1305,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oabs__class_Oabs(X0,X1)))
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6444_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11369,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oabs__class_Oabs(X0,X1)))
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1305]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11370,plain,
% 9.82/10.03 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oabs__class_Oabs(X0,X1)))
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11369]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1288,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oabs__class_Oabs(X0,X1)))
% 9.82/10.03 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6450_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11335,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oabs__class_Oabs(X0,X1)))
% 9.82/10.03 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1288]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11336,plain,
% 9.82/10.03 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oabs__class_Oabs(X0,X1))) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11335]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1283,plain,
% 9.82/10.03 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),X2) = X1
% 9.82/10.03 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6452_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11325,plain,
% 9.82/10.03 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),X2) = X1
% 9.82/10.03 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1283]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11326,plain,
% 9.82/10.03 ( ~ class_Groups_Ogroup__add(X0)
% 9.82/10.03 | c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),X2) = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11325]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1281,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6453_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11321,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1281]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1279,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6454_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11317,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1279]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1276,plain,
% 9.82/10.03 ( c_SEQ_OCauchy(X0,X1)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk44_2(X1,X0)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6455_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11311,plain,
% 9.82/10.03 ( c_SEQ_OCauchy(X0,X1)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk44_2(X1,X0)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1276]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11312,plain,
% 9.82/10.03 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk44_2(X1,X0)))
% 9.82/10.03 | c_SEQ_OCauchy(X0,X1) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11311]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1272,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(X1,X0) = hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X0))
% 9.82/10.03 | ~ class_Groups_Osgn__if(X1) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6456_3) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11303,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(X1,X0) = hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X0))
% 9.82/10.03 | ~ class_Groups_Osgn__if(X1) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1272]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11304,plain,
% 9.82/10.03 ( ~ class_Groups_Osgn__if(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(X0,X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0))
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11303]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1270,plain,
% 9.82/10.03 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X0) = c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6457_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11299,plain,
% 9.82/10.03 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X0) = c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1270]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11300,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.82/10.03 | hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X0) = c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11299]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1263,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6461_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11285,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1263]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11286,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 9.82/10.03 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11285]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1255,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X0))
% 9.82/10.03 | X0 = X1 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6464_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11269,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X0))
% 9.82/10.03 | X0 = X1 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1255]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1248,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0))
% 9.82/10.03 | X1 = X0 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6466_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11255,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0))
% 9.82/10.03 | X1 = X0 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1248]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1246,plain,
% 9.82/10.03 ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X0) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6467_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11251,plain,
% 9.82/10.03 ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X0) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1246]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11252,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X0) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11251]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1240,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,X1)))
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6469_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11239,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,X1)))
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1240]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11240,plain,
% 9.82/10.03 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,X1)))
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11239]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1238,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6470_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11235,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1238]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1236,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6471_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11231,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1236]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1234,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6472_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11227,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1234]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1232,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 9.82/10.03 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6473_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11223,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 9.82/10.03 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1232]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11224,plain,
% 9.82/10.03 ( ~ class_Groups_Ogroup__add(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11223]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1230,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 9.82/10.03 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6474_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11219,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 9.82/10.03 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1230]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11220,plain,
% 9.82/10.03 ( ~ class_Groups_Oab__group__add(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11219]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1228,plain,
% 9.82/10.03 ( c_Groups_Ominus__class_Ominus(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)
% 9.82/10.03 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6475_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11215,plain,
% 9.82/10.03 ( c_Groups_Ominus__class_Ominus(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2)
% 9.82/10.03 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1228]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11216,plain,
% 9.82/10.03 ( ~ class_Groups_Ogroup__add(X0)
% 9.82/10.03 | c_Groups_Ominus__class_Ominus(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11215]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1226,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 9.82/10.03 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6476_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11211,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 9.82/10.03 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1226]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11212,plain,
% 9.82/10.03 ( ~ class_Rings_Ocomm__ring__1(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)) = c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11211]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1217,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X1 = X2
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6479_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11193,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X1 = X2
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1217]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11194,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 9.82/10.03 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X1 = X2 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11193]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1214,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X1 = X2
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6480_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11187,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X1 = X2
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1214]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11188,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X0 = X2 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11187]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1211,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.03 | X1 = X2
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6481_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11181,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.03 | X1 = X2
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1211]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11182,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.03 | X0 = X2 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11181]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1208,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.03 | X1 = X2
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6482_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11175,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.03 | X1 = X2
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1208]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11176,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 9.82/10.03 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.03 | X1 = X2 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11175]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1204,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6485_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11167,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1204]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1202,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk60_2(X0,X1)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6486_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11163,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk60_2(X0,X1)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1202]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11164,plain,
% 9.82/10.03 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk60_2(X1,X0))) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11163]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1200,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk59_2(X0,X1)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6487_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11159,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk59_2(X0,X1)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1200]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11160,plain,
% 9.82/10.03 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk59_2(X1,X0))) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11159]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1198,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk36_2(X0,X1)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6488_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11155,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk36_2(X0,X1)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1198]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11156,plain,
% 9.82/10.03 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk36_2(X1,X0))) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11155]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1196,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk35_2(X0,X1)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6489_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11151,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk35_2(X0,X1)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1196]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11152,plain,
% 9.82/10.03 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk35_2(X1,X0))) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11151]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1194,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,X1)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6490_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11147,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,X1)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1194]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11148,plain,
% 9.82/10.03 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,X1))) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11147]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1192,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6491_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11143,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1192]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11144,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)
% 9.82/10.03 | X0 = X2 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11143]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1190,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6492_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11139,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1190]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11140,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)
% 9.82/10.03 | X1 = X2 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11139]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1182,plain,
% 9.82/10.03 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6497_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11123,plain,
% 9.82/10.03 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1182]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11124,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.82/10.03 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11123]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1177,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oabs__class_Oabs(X0,X1)))
% 9.82/10.03 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6503_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11113,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oabs__class_Oabs(X0,X1)))
% 9.82/10.03 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1177]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11114,plain,
% 9.82/10.03 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oabs__class_Oabs(X0,X1))) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11113]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1165,plain,
% 9.82/10.03 ( ~ class_Orderings_Olinorder(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | X1 != X2 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6507_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11089,plain,
% 9.82/10.03 ( ~ class_Orderings_Olinorder(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | X1 != X2 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1165]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1159,plain,
% 9.82/10.03 ( X0 != X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,X0),X1))
% 9.82/10.03 | ~ class_Orderings_Oorder(X2) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6509_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11077,plain,
% 9.82/10.03 ( X0 != X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,X0),X1))
% 9.82/10.03 | ~ class_Orderings_Oorder(X2) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1159]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11078,plain,
% 9.82/10.03 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | X1 != X2 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11077]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1156,plain,
% 9.82/10.03 ( X0 != X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,X1),X0))
% 9.82/10.03 | ~ class_Orderings_Oorder(X2) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6510_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11071,plain,
% 9.82/10.03 ( X0 != X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,X1),X0))
% 9.82/10.03 | ~ class_Orderings_Oorder(X2) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1156]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11072,plain,
% 9.82/10.03 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X2))
% 9.82/10.03 | X2 != X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11071]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1154,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6511_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11067,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1154]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11068,plain,
% 9.82/10.03 ( ~ class_Groups_Ogroup__add(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11067]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1152,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6512_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11063,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1152]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11064,plain,
% 9.82/10.03 ( ~ class_Groups_Oab__group__add(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11063]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1150,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X1)) = X1
% 9.82/10.03 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6513_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11059,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X1)) = X1
% 9.82/10.03 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1150]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11060,plain,
% 9.82/10.03 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X1)) = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11059]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1148,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X1))
% 9.82/10.03 | ~ class_Orderings_Opreorder(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6514_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11055,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X1))
% 9.82/10.03 | ~ class_Orderings_Opreorder(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1148]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11056,plain,
% 9.82/10.03 ( ~ class_Orderings_Opreorder(X0)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),X1)) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11055]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1146,plain,
% 9.82/10.03 ( c_RComplete_Onatfloor(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6515_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11051,plain,
% 9.82/10.03 ( c_RComplete_Onatfloor(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1146]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11052,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.82/10.03 | c_RComplete_Onatfloor(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11051]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1144,plain,
% 9.82/10.03 ( c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6516_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11047,plain,
% 9.82/10.03 ( c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1144]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11048,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 9.82/10.03 | c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11047]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1142,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(X1,X0)))
% 9.82/10.03 | ~ c_SEQ_Osubseq(X1) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6517_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11043,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(X1,X0)))
% 9.82/10.03 | ~ c_SEQ_Osubseq(X1) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1142]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11044,plain,
% 9.82/10.03 ( ~ c_SEQ_Osubseq(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(X0,X1))) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11043]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1140,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6519_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11039,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1140]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11040,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.82/10.03 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11039]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1138,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6528_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11035,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1138]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11036,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.03 | X0 = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11035]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1132,plain,
% 9.82/10.03 ( X0 = X1 | hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6530_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11023,plain,
% 9.82/10.03 ( X0 = X1 | hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1132]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11024,plain,
% 9.82/10.03 ( hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) | X0 = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11023]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1130,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0)))
% 9.82/10.03 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6532_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11019,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0)))
% 9.82/10.03 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1130]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11020,plain,
% 9.82/10.03 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0))) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11019]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1128,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0)))
% 9.82/10.03 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6533_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11015,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0)))
% 9.82/10.03 | ~ class_Rings_Olinordered__semidom(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1128]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11016,plain,
% 9.82/10.03 ( ~ class_Rings_Olinordered__semidom(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0))) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11015]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1126,plain,
% 9.82/10.03 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6534_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11011,plain,
% 9.82/10.03 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1126]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11012,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11011]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1124,plain,
% 9.82/10.03 ( c_SEQ_Oconvergent(X0,c_COMBK(X0,tc_Nat_Onat,X1))
% 9.82/10.03 | ~ class_RealVector_Ometric__space(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6535_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11007,plain,
% 9.82/10.03 ( c_SEQ_Oconvergent(X0,c_COMBK(X0,tc_Nat_Onat,X1))
% 9.82/10.03 | ~ class_RealVector_Ometric__space(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1124]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11008,plain,
% 9.82/10.03 ( ~ class_RealVector_Ometric__space(X0)
% 9.82/10.03 | c_SEQ_Oconvergent(X0,c_COMBK(X0,tc_Nat_Onat,X1)) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11007]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1121,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6536_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11001,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1121]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_11002,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 9.82/10.03 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_11001]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1115,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X0) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6538_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10989,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X0) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1115]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10990,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X0) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 9.82/10.03 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10989]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1113,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.82/10.03 | X0 != X1 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6539_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10985,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),X1))
% 9.82/10.03 | X0 != X1 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1113]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1105,plain,
% 9.82/10.03 ( X0 != X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6543_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10969,plain,
% 9.82/10.03 ( X0 != X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X0)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1105]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10970,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | X1 != X0 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10969]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1103,plain,
% 9.82/10.03 ( X0 != X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6544_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10965,plain,
% 9.82/10.03 ( X0 != X1
% 9.82/10.03 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1103]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10966,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | X0 != X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10965]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1101,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.82/10.03 | X0 != X1 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6545_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10961,plain,
% 9.82/10.03 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
% 9.82/10.03 | X0 != X1 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1101]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1087,plain,
% 9.82/10.03 ( 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)
% 9.82/10.03 | X1 != X2 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6552_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10933,plain,
% 9.82/10.03 ( 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)
% 9.82/10.03 | X1 != X2 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1087]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1085,plain,
% 9.82/10.03 ( c_SEQ_Osubseq(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk21_1(X0)),sk1_esk22_1(X0))) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6555_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10929,plain,
% 9.82/10.03 ( c_SEQ_Osubseq(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk21_1(X0)),sk1_esk22_1(X0))) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1085]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1076,plain,
% 9.82/10.03 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X2
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6558_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10911,plain,
% 9.82/10.03 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X2
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1076]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10912,plain,
% 9.82/10.03 ( ~ class_Groups_Ogroup__add(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X2 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10911]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1073,plain,
% 9.82/10.03 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.82/10.03 | ~ class_Groups_Oabs__if(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6559_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10905,plain,
% 9.82/10.03 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.82/10.03 | ~ class_Groups_Oabs__if(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1073]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10906,plain,
% 9.82/10.03 ( ~ class_Groups_Oabs__if(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 9.82/10.03 | c_Groups_Oabs__class_Oabs(X0,X1) = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10905]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1062,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)
% 9.82/10.03 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6565_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10883,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)
% 9.82/10.03 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1062]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10884,plain,
% 9.82/10.03 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10883]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1060,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1)
% 9.82/10.03 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6566_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10879,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1)
% 9.82/10.03 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1060]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10880,plain,
% 9.82/10.03 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10879]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1058,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk58_1(X0)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6567_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10875,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk58_1(X0)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1058]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10876,plain,
% 9.82/10.03 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk58_1(X0))) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10875]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1056,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk37_1(X0)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6568_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10871,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk37_1(X0)))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1056]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10872,plain,
% 9.82/10.03 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk37_1(X0))) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10871]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1048,plain,
% 9.82/10.03 ( ~ class_Rings_Ono__zero__divisors(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6571_0) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10855,plain,
% 9.82/10.03 ( ~ class_Rings_Ono__zero__divisors(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1048]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1045,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.82/10.03 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1)
% 9.82/10.03 | ~ class_Rings_Ono__zero__divisors(X1) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6571_3) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10849,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.82/10.03 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1)
% 9.82/10.03 | ~ class_Rings_Ono__zero__divisors(X1) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1045]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10850,plain,
% 9.82/10.03 ( ~ class_Rings_Ono__zero__divisors(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10849]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1039,plain,
% 9.82/10.03 ( c_Groups_Osgn__class_Osgn(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Osgn__class_Osgn(X0,X1))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6573_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10837,plain,
% 9.82/10.03 ( c_Groups_Osgn__class_Osgn(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Osgn__class_Osgn(X0,X1))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1039]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10838,plain,
% 9.82/10.03 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.82/10.03 | c_Groups_Osgn__class_Osgn(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Osgn__class_Osgn(X0,X1)) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10837]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1031,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6576_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10821,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1031]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10822,plain,
% 9.82/10.03 ( ~ class_Groups_Ogroup__add(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10821]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1028,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.82/10.03 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1)
% 9.82/10.03 | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6577_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10815,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 9.82/10.03 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1)
% 9.82/10.03 | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1028]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10816,plain,
% 9.82/10.03 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 9.82/10.03 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10815]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1020,plain,
% 9.82/10.03 ( c_Lim_OisUCont(X0,X0,hAPP(c_Groups_Otimes__class_Otimes(X0),X1))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6583_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10799,plain,
% 9.82/10.03 ( c_Lim_OisUCont(X0,X0,hAPP(c_Groups_Otimes__class_Otimes(X0),X1))
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1020]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10800,plain,
% 9.82/10.03 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.82/10.03 | c_Lim_OisUCont(X0,X0,hAPP(c_Groups_Otimes__class_Otimes(X0),X1)) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10799]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1012,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 9.82/10.03 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6586_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10783,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 9.82/10.03 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1012]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10784,plain,
% 9.82/10.03 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10783]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1008,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 9.82/10.03 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6588_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10775,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 9.82/10.03 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1008]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_1006,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 9.82/10.03 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6589_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10771,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 9.82/10.03 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_1006]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_985,plain,
% 9.82/10.03 ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) = X0
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6595_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10729,plain,
% 9.82/10.03 ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) = X0
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_985]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10730,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 9.82/10.03 | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) = X0 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10729]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_977,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 9.82/10.03 | X1 != X2 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6599_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10713,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 9.82/10.03 | X1 != X2 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_977]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_975,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 9.82/10.03 | X0 != X2 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6600_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10709,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 9.82/10.03 | X0 != X2 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_975]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_973,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)
% 9.82/10.03 | X0 != X2 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6601_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10705,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)
% 9.82/10.03 | X0 != X2 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_973]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_971,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)
% 9.82/10.03 | X1 != X2 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6602_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10701,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)
% 9.82/10.03 | X1 != X2 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_971]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_969,plain,
% 9.82/10.03 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6603_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10697,plain,
% 9.82/10.03 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_969]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10698,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.03 | X1 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10697]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_963,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | X1 != X2
% 9.82/10.03 | ~ class_Orderings_Opreorder(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6608_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10685,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | X1 != X2
% 9.82/10.03 | ~ class_Orderings_Opreorder(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_963]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10686,plain,
% 9.82/10.03 ( ~ class_Orderings_Opreorder(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 9.82/10.03 | X1 != X2 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10685]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_955,plain,
% 9.82/10.03 ( c_Nat__Transfer_Otsub(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6611_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10669,plain,
% 9.82/10.03 ( c_Nat__Transfer_Otsub(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_955]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10670,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 9.82/10.03 | c_Nat__Transfer_Otsub(X1,X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10669]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_951,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.82/10.03 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6616_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10661,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))
% 9.82/10.03 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_951]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_949,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.82/10.03 | X0 != X1 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6619_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10657,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 9.82/10.03 | X0 != X1 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_949]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_947,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X1))
% 9.82/10.03 | ~ class_Orderings_Opreorder(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6620_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10653,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X1))
% 9.82/10.03 | ~ class_Orderings_Opreorder(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_947]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10654,plain,
% 9.82/10.03 ( ~ class_Orderings_Opreorder(X0)
% 9.82/10.03 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X1)) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10653]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_938,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.82/10.03 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6626_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10635,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 9.82/10.03 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_938]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_936,plain,
% 9.82/10.03 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)
% 9.82/10.03 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6627_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10631,plain,
% 9.82/10.03 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)
% 9.82/10.03 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_936]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10632,plain,
% 9.82/10.03 ( ~ class_Groups_Ogroup__add(X0)
% 9.82/10.03 | c_Groups_Ominus__class_Ominus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10631]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_930,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.03 | X0 != X1 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6640_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10619,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.03 | X0 != X1 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_930]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_929,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6641_0) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10617,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_929]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_927,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6641_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10613,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_927]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10614,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10613]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_924,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != X0 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6642_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10607,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != X0 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_924]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10608,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != X0
% 9.82/10.03 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10607]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_918,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hAPP(c_Complex_OIm,X0) != hAPP(c_Complex_OIm,X1)
% 9.82/10.03 | hAPP(c_Complex_ORe,X0) != hAPP(c_Complex_ORe,X1) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6644_2) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10595,plain,
% 9.82/10.03 ( X0 = X1
% 9.82/10.03 | hAPP(c_Complex_OIm,X0) != hAPP(c_Complex_OIm,X1)
% 9.82/10.03 | hAPP(c_Complex_ORe,X0) != hAPP(c_Complex_ORe,X1) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_918]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10596,plain,
% 9.82/10.03 ( hAPP(c_Complex_ORe,X0) != hAPP(c_Complex_ORe,X1)
% 9.82/10.03 | hAPP(c_Complex_OIm,X0) != hAPP(c_Complex_OIm,X1)
% 9.82/10.03 | X0 = X1 ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10595]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_912,plain,
% 9.82/10.03 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6647_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10583,plain,
% 9.82/10.03 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_912]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10584,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.82/10.03 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10583]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_910,plain,
% 9.82/10.03 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6648_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10579,plain,
% 9.82/10.03 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_910]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10580,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.82/10.03 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10579]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_908,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6649_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10575,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_908]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10576,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10575]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_906,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6650_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10571,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_906]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10572,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10571]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_900,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.82/10.03 | X0 != X1 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6653_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10559,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 9.82/10.03 | X0 != X1 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_900]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_898,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | X0 != X1 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6654_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10555,plain,
% 9.82/10.03 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 9.82/10.03 | X0 != X1 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_898]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_896,plain,
% 9.82/10.03 ( c_Power_Opower_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0)) = c_Power_Opower__class_Opower(X0)
% 9.82/10.03 | ~ class_Power_Opower(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6655_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10551,plain,
% 9.82/10.03 ( c_Power_Opower_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0)) = c_Power_Opower__class_Opower(X0)
% 9.82/10.03 | ~ class_Power_Opower(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_896]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10552,plain,
% 9.82/10.03 ( ~ class_Power_Opower(X0)
% 9.82/10.03 | c_Power_Opower_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0)) = c_Power_Opower__class_Opower(X0) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10551]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_894,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) != X1 ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6656_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10547,plain,
% 9.82/10.03 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) != X1 ),
% 9.82/10.03 inference(copy,[status(esa)],[c_894]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10548,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != X0
% 9.82/10.03 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10547]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_892,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.03 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6658_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10543,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.03 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_892]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_890,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6662_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10539,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_890]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10540,plain,
% 9.82/10.03 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.03 inference(rewriting,[status(thm)],[c_10539]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_886,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.82/10.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6664_1) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10531,plain,
% 9.82/10.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.03 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.82/10.03 inference(copy,[status(esa)],[c_886]) ).
% 9.82/10.03
% 9.82/10.03 cnf(c_10532,plain,
% 9.82/10.03 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.82/10.03 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10531]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_884,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_Rings_Omult__zero(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6665_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10527,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_Rings_Omult__zero(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_884]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10528,plain,
% 9.82/10.04 ( ~ class_Rings_Omult__zero(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10527]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_882,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oone__class_Oone(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 9.82/10.04 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6666_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10523,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oone__class_Oone(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 9.82/10.04 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_882]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10524,plain,
% 9.82/10.04 ( ~ class_Groups_Omonoid__mult(X0)
% 9.82/10.04 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oone__class_Oone(X0)),X1) = c_Groups_Oone__class_Oone(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10523]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_880,plain,
% 9.82/10.04 ( c_RealVector_Onorm__class_Onorm(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6668_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10519,plain,
% 9.82/10.04 ( c_RealVector_Onorm__class_Onorm(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_880]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10520,plain,
% 9.82/10.04 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.82/10.04 | c_RealVector_Onorm__class_Onorm(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10519]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_878,plain,
% 9.82/10.04 ( c_Groups_Oabs__class_Oabs(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 9.82/10.04 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6669_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10515,plain,
% 9.82/10.04 ( c_Groups_Oabs__class_Oabs(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 9.82/10.04 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_878]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10516,plain,
% 9.82/10.04 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.82/10.04 | c_Groups_Oabs__class_Oabs(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_Groups_Oabs__class_Oabs(X0,X1) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10515]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_870,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6672_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10499,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_870]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10500,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10499]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_868,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 9.82/10.04 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6673_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10495,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 9.82/10.04 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_868]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10496,plain,
% 9.82/10.04 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10495]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_866,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 9.82/10.04 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6674_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10491,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 9.82/10.04 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_866]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10492,plain,
% 9.82/10.04 ( ~ class_Groups_Omonoid__mult(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10491]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_864,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6675_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10487,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_864]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10488,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10487]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_862,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1
% 9.82/10.04 | ~ class_Groups_Omonoid__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6676_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10483,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1
% 9.82/10.04 | ~ class_Groups_Omonoid__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_862]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10484,plain,
% 9.82/10.04 ( ~ class_Groups_Omonoid__add(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10483]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_860,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1
% 9.82/10.04 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6677_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10479,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1
% 9.82/10.04 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_860]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10480,plain,
% 9.82/10.04 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10479]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_843,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6683_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10445,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_843]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10446,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10445]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_839,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6685_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10437,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_839]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10438,plain,
% 9.82/10.04 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10437]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_837,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_Rings_Omult__zero(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6686_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10433,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_Rings_Omult__zero(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_837]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10434,plain,
% 9.82/10.04 ( ~ class_Rings_Omult__zero(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10433]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_826,plain,
% 9.82/10.04 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 9.82/10.04 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6690_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10411,plain,
% 9.82/10.04 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 9.82/10.04 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_826]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10412,plain,
% 9.82/10.04 ( ~ class_Groups_Ogroup__add(X0)
% 9.82/10.04 | c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10411]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_821,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6692_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10401,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_821]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10402,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10401]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_819,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 9.82/10.04 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6693_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10397,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 9.82/10.04 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_819]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10398,plain,
% 9.82/10.04 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10397]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_817,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 9.82/10.04 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6694_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10393,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 9.82/10.04 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_817]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10394,plain,
% 9.82/10.04 ( ~ class_Groups_Omonoid__mult(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10393]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_815,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 9.82/10.04 | ~ class_Power_Opower(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6695_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10389,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 9.82/10.04 | ~ class_Power_Opower(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_815]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10390,plain,
% 9.82/10.04 ( ~ class_Power_Opower(X0)
% 9.82/10.04 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10389]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_813,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6696_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10385,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_813]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10386,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.82/10.04 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10385]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_811,plain,
% 9.82/10.04 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = X1
% 9.82/10.04 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6697_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10381,plain,
% 9.82/10.04 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = X1
% 9.82/10.04 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_811]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10382,plain,
% 9.82/10.04 ( ~ class_Lattices_Oboolean__algebra(X0)
% 9.82/10.04 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10381]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_809,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6698_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10377,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_809]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10378,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10377]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_807,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1
% 9.82/10.04 | ~ class_Groups_Omonoid__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6699_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10373,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1
% 9.82/10.04 | ~ class_Groups_Omonoid__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_807]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10374,plain,
% 9.82/10.04 ( ~ class_Groups_Omonoid__add(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10373]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_805,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1
% 9.82/10.04 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6700_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10369,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1
% 9.82/10.04 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_805]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10370,plain,
% 9.82/10.04 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10369]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_803,plain,
% 9.82/10.04 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = X1
% 9.82/10.04 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6701_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10365,plain,
% 9.82/10.04 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = X1
% 9.82/10.04 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_803]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10366,plain,
% 9.82/10.04 ( ~ class_Groups_Ogroup__add(X0)
% 9.82/10.04 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10365]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_799,plain,
% 9.82/10.04 ( c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6703_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10357,plain,
% 9.82/10.04 ( c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_799]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10358,plain,
% 9.82/10.04 ( ~ class_Groups_Ogroup__add(X0)
% 9.82/10.04 | c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10357]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_797,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 9.82/10.04 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6704_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10353,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 9.82/10.04 | ~ class_Groups_Omonoid__mult(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_797]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10354,plain,
% 9.82/10.04 ( ~ class_Groups_Omonoid__mult(X0)
% 9.82/10.04 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10353]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_795,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6705_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10349,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_795]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10350,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.82/10.04 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10349]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_781,plain,
% 9.82/10.04 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Osgn__class_Osgn(X0,X1)
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6711_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10321,plain,
% 9.82/10.04 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Osgn__class_Osgn(X0,X1)
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_781]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10322,plain,
% 9.82/10.04 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.04 | c_Groups_Osgn__class_Osgn(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Osgn__class_Osgn(X0,X1) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10321]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_779,plain,
% 9.82/10.04 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 9.82/10.04 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6712_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10317,plain,
% 9.82/10.04 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 9.82/10.04 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_779]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10318,plain,
% 9.82/10.04 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.82/10.04 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10317]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_773,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.82/10.04 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.82/10.04 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6715_2) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10305,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.82/10.04 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.82/10.04 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_773]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_770,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.04 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.04 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6716_2) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10299,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.04 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.04 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_770]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_766,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = X1
% 9.82/10.04 | ~ class_Lattices_Oab__semigroup__idem__mult(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6718_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10291,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = X1
% 9.82/10.04 | ~ class_Lattices_Oab__semigroup__idem__mult(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_766]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10292,plain,
% 9.82/10.04 ( ~ class_Lattices_Oab__semigroup__idem__mult(X0)
% 9.82/10.04 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10291]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_756,plain,
% 9.82/10.04 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 9.82/10.04 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6726_2) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10271,plain,
% 9.82/10.04 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 9.82/10.04 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_756]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10272,plain,
% 9.82/10.04 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.82/10.04 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 9.82/10.04 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10271]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_754,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.82/10.04 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6728_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10267,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 9.82/10.04 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_754]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_750,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.04 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6730_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10259,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.04 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_750]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_748,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.04 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6731_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10255,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.04 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_748]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_731,plain,
% 9.82/10.04 ( X0 = X1
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X0,X2) != c_Complex_Ocomplex_OComplex(X1,X3) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6756_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10221,plain,
% 9.82/10.04 ( X0 = X1
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X0,X2) != c_Complex_Ocomplex_OComplex(X1,X3) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_731]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10222,plain,
% 9.82/10.04 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Ocomplex_OComplex(X2,X3)
% 9.82/10.04 | X0 = X2 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10221]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_729,plain,
% 9.82/10.04 ( X0 = X1
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X2,X0) != c_Complex_Ocomplex_OComplex(X3,X1) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6757_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10217,plain,
% 9.82/10.04 ( X0 = X1
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X2,X0) != c_Complex_Ocomplex_OComplex(X3,X1) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_729]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10218,plain,
% 9.82/10.04 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Ocomplex_OComplex(X2,X3)
% 9.82/10.04 | X1 = X3 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10217]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_717,plain,
% 9.82/10.04 ( c_SEQ_Omonoseq(X0,X1)
% 9.82/10.04 | ~ c_SEQ_Oincseq(X0,X1)
% 9.82/10.04 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6761_2) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10193,plain,
% 9.82/10.04 ( c_SEQ_Omonoseq(X0,X1)
% 9.82/10.04 | ~ c_SEQ_Oincseq(X0,X1)
% 9.82/10.04 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_717]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10194,plain,
% 9.82/10.04 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.04 | c_SEQ_Omonoseq(X0,X1)
% 9.82/10.04 | ~ c_SEQ_Oincseq(X0,X1) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10193]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_714,plain,
% 9.82/10.04 ( c_SEQ_Omonoseq(X0,X1)
% 9.82/10.04 | ~ c_SEQ_Odecseq(X0,X1)
% 9.82/10.04 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6762_2) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10187,plain,
% 9.82/10.04 ( c_SEQ_Omonoseq(X0,X1)
% 9.82/10.04 | ~ c_SEQ_Odecseq(X0,X1)
% 9.82/10.04 | ~ class_Orderings_Oorder(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_714]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10188,plain,
% 9.82/10.04 ( ~ class_Orderings_Oorder(X0)
% 9.82/10.04 | c_SEQ_Omonoseq(X0,X1)
% 9.82/10.04 | ~ c_SEQ_Odecseq(X0,X1) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10187]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_711,plain,
% 9.82/10.04 ( c_SEQ_OCauchy(X0,X1)
% 9.82/10.04 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.82/10.04 | ~ class_RealVector_Ometric__space(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6763_2) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10181,plain,
% 9.82/10.04 ( c_SEQ_OCauchy(X0,X1)
% 9.82/10.04 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.82/10.04 | ~ class_RealVector_Ometric__space(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_711]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10182,plain,
% 9.82/10.04 ( ~ class_RealVector_Ometric__space(X0)
% 9.82/10.04 | ~ c_SEQ_Oconvergent(X0,X1)
% 9.82/10.04 | c_SEQ_OCauchy(X0,X1) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10181]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_705,plain,
% 9.82/10.04 ( c_SEQ_Oconvergent(X0,X1)
% 9.82/10.04 | ~ class_SEQ_Ocomplete__space(X0)
% 9.82/10.04 | ~ c_SEQ_OCauchy(X0,X1) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6765_2) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10169,plain,
% 9.82/10.04 ( c_SEQ_Oconvergent(X0,X1)
% 9.82/10.04 | ~ class_SEQ_Ocomplete__space(X0)
% 9.82/10.04 | ~ c_SEQ_OCauchy(X0,X1) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_705]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10170,plain,
% 9.82/10.04 ( ~ class_SEQ_Ocomplete__space(X0)
% 9.82/10.04 | c_SEQ_Oconvergent(X0,X1)
% 9.82/10.04 | ~ c_SEQ_OCauchy(X0,X1) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10169]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_699,plain,
% 9.82/10.04 ( c_SEQ_OBseq(X0,X1)
% 9.82/10.04 | ~ c_SEQ_OCauchy(X0,X1)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6767_2) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10157,plain,
% 9.82/10.04 ( c_SEQ_OBseq(X0,X1)
% 9.82/10.04 | ~ c_SEQ_OCauchy(X0,X1)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_699]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10158,plain,
% 9.82/10.04 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.82/10.04 | ~ c_SEQ_OCauchy(X0,X1)
% 9.82/10.04 | c_SEQ_OBseq(X0,X1) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10157]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_694,plain,
% 9.82/10.04 ( X0 = X1 | hAPP(c_Complex_Ocnj,X0) != hAPP(c_Complex_Ocnj,X1) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6769_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10147,plain,
% 9.82/10.04 ( X0 = X1 | hAPP(c_Complex_Ocnj,X0) != hAPP(c_Complex_Ocnj,X1) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_694]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10148,plain,
% 9.82/10.04 ( hAPP(c_Complex_Ocnj,X0) != hAPP(c_Complex_Ocnj,X1) | X0 = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10147]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_692,plain,
% 9.82/10.04 ( X0 = X1
% 9.82/10.04 | c_RealDef_Oreal(tc_Nat_Onat,X0) != c_RealDef_Oreal(tc_Nat_Onat,X1) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6770_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10143,plain,
% 9.82/10.04 ( X0 = X1
% 9.82/10.04 | c_RealDef_Oreal(tc_Nat_Onat,X0) != c_RealDef_Oreal(tc_Nat_Onat,X1) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_692]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10144,plain,
% 9.82/10.04 ( c_RealDef_Oreal(tc_Nat_Onat,X0) != c_RealDef_Oreal(tc_Nat_Onat,X1)
% 9.82/10.04 | X0 = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10143]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_672,plain,
% 9.82/10.04 ( class_Groups_Ominus(tc_fun(X0,X1)) | ~ class_Groups_Ominus(X1) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6780_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10103,plain,
% 9.82/10.04 ( class_Groups_Ominus(tc_fun(X0,X1)) | ~ class_Groups_Ominus(X1) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_672]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_670,plain,
% 9.82/10.04 ( class_Groups_Ouminus(tc_fun(X0,X1)) | ~ class_Groups_Ouminus(X1) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6781_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10099,plain,
% 9.82/10.04 ( class_Groups_Ouminus(tc_fun(X0,X1)) | ~ class_Groups_Ouminus(X1) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_670]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_668,plain,
% 9.82/10.04 ( class_Orderings_Oord(tc_fun(X0,X1)) | ~ class_Orderings_Oord(X1) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6782_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10095,plain,
% 9.82/10.04 ( class_Orderings_Oord(tc_fun(X0,X1)) | ~ class_Orderings_Oord(X1) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_668]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_666,plain,
% 9.82/10.04 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6783_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10091,plain,
% 9.82/10.04 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_666]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_664,plain,
% 9.82/10.04 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 9.82/10.04 | ~ class_Orderings_Opreorder(X1) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6784_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10087,plain,
% 9.82/10.04 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 9.82/10.04 | ~ class_Orderings_Opreorder(X1) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_664]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_662,plain,
% 9.82/10.04 ( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
% 9.82/10.04 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6785_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10083,plain,
% 9.82/10.04 ( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
% 9.82/10.04 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_662]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_660,plain,
% 9.82/10.04 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6786_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10079,plain,
% 9.82/10.04 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_Groups_Ogroup__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_660]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10080,plain,
% 9.82/10.04 ( ~ class_Groups_Ogroup__add(X0)
% 9.82/10.04 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10079]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_651,plain,
% 9.82/10.04 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Complex_Ocomplex_OComplex(X2,X3)
% 9.82/10.04 | X1 != X3
% 9.82/10.04 | X0 != X2 ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6790_2) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10061,plain,
% 9.82/10.04 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Complex_Ocomplex_OComplex(X2,X3)
% 9.82/10.04 | X1 != X3
% 9.82/10.04 | X0 != X2 ),
% 9.82/10.04 inference(copy,[status(esa)],[c_651]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_637,plain,
% 9.82/10.04 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 9.82/10.04 | ~ c_SEQ_OCauchy(tc_RealDef_Oreal,X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6795_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10033,plain,
% 9.82/10.04 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 9.82/10.04 | ~ c_SEQ_OCauchy(tc_RealDef_Oreal,X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_637]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_632,plain,
% 9.82/10.04 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6798_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10023,plain,
% 9.82/10.04 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_632]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10024,plain,
% 9.82/10.04 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 9.82/10.04 | c_Groups_Osgn__class_Osgn(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10023]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_630,plain,
% 9.82/10.04 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6799_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10019,plain,
% 9.82/10.04 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_630]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10020,plain,
% 9.82/10.04 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.82/10.04 | c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10019]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_628,plain,
% 9.82/10.04 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_Groups_Osgn__if(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6800_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10015,plain,
% 9.82/10.04 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_Groups_Osgn__if(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_628]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10016,plain,
% 9.82/10.04 ( ~ class_Groups_Osgn__if(X0)
% 9.82/10.04 | c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10015]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_626,plain,
% 9.82/10.04 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6801_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10011,plain,
% 9.82/10.04 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_626]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10012,plain,
% 9.82/10.04 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.04 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10011]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_624,plain,
% 9.82/10.04 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6802_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10007,plain,
% 9.82/10.04 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 9.82/10.04 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_624]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10008,plain,
% 9.82/10.04 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 9.82/10.04 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10007]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_622,plain,
% 9.82/10.04 ( X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6804_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10003,plain,
% 9.82/10.04 ( X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_622]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10004,plain,
% 9.82/10.04 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
% 9.82/10.04 | X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_10003]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_620,plain,
% 9.82/10.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X1,X0) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6805_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9999,plain,
% 9.82/10.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X1,X0) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_620]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_10000,plain,
% 9.82/10.04 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
% 9.82/10.04 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9999]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_618,plain,
% 9.82/10.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6806_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9995,plain,
% 9.82/10.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_618]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9996,plain,
% 9.82/10.04 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 9.82/10.04 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9995]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_616,plain,
% 9.82/10.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6807_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9991,plain,
% 9.82/10.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_616]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9992,plain,
% 9.82/10.04 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 9.82/10.04 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9991]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_614,plain,
% 9.82/10.04 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6808_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9987,plain,
% 9.82/10.04 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_614]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9988,plain,
% 9.82/10.04 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 9.82/10.04 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9987]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_612,plain,
% 9.82/10.04 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6809_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9983,plain,
% 9.82/10.04 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 9.82/10.04 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_612]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9984,plain,
% 9.82/10.04 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 9.82/10.04 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9983]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_610,plain,
% 9.82/10.04 ( hAPP(c_Complex_Ocnj,X0) = hAPP(c_Complex_Ocnj,X1) | X0 != X1 ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6810_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9979,plain,
% 9.82/10.04 ( hAPP(c_Complex_Ocnj,X0) = hAPP(c_Complex_Ocnj,X1) | X0 != X1 ),
% 9.82/10.04 inference(copy,[status(esa)],[c_610]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_608,plain,
% 9.82/10.04 ( c_RealDef_Oreal(tc_Nat_Onat,X0) = c_RealDef_Oreal(tc_Nat_Onat,X1)
% 9.82/10.04 | X0 != X1 ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6811_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9975,plain,
% 9.82/10.04 ( c_RealDef_Oreal(tc_Nat_Onat,X0) = c_RealDef_Oreal(tc_Nat_Onat,X1)
% 9.82/10.04 | X0 != X1 ),
% 9.82/10.04 inference(copy,[status(esa)],[c_608]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_605,plain,
% 9.82/10.04 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
% 9.82/10.04 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | X0 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6812_2) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9969,plain,
% 9.82/10.04 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
% 9.82/10.04 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | X0 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_605]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_602,plain,
% 9.82/10.04 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 9.82/10.04 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6813_2) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9963,plain,
% 9.82/10.04 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 9.82/10.04 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_602]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_600,plain,
% 9.82/10.04 ( hAPP(c_Complex_ORe,X0) = hAPP(c_Complex_ORe,X1) | X0 != X1 ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6814_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9959,plain,
% 9.82/10.04 ( hAPP(c_Complex_ORe,X0) = hAPP(c_Complex_ORe,X1) | X0 != X1 ),
% 9.82/10.04 inference(copy,[status(esa)],[c_600]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_598,plain,
% 9.82/10.04 ( hAPP(c_Complex_OIm,X0) = hAPP(c_Complex_OIm,X1) | X0 != X1 ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6815_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9955,plain,
% 9.82/10.04 ( hAPP(c_Complex_OIm,X0) = hAPP(c_Complex_OIm,X1) | X0 != X1 ),
% 9.82/10.04 inference(copy,[status(esa)],[c_598]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_596,plain,
% 9.82/10.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 9.82/10.04 | hAPP(c_Complex_Ocnj,X0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6818_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9951,plain,
% 9.82/10.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 9.82/10.04 | hAPP(c_Complex_Ocnj,X0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_596]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9952,plain,
% 9.82/10.04 ( hAPP(c_Complex_Ocnj,X0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 9.82/10.04 | X0 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9951]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_594,plain,
% 9.82/10.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.04 | c_RealDef_Oreal(tc_Nat_Onat,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6819_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9947,plain,
% 9.82/10.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 9.82/10.04 | c_RealDef_Oreal(tc_Nat_Onat,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_594]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9948,plain,
% 9.82/10.04 ( c_RealDef_Oreal(tc_Nat_Onat,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9947]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_592,plain,
% 9.82/10.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Oii ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6822_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9943,plain,
% 9.82/10.04 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Oii ),
% 9.82/10.04 inference(copy,[status(esa)],[c_592]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9944,plain,
% 9.82/10.04 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Oii
% 9.82/10.04 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9943]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_590,plain,
% 9.82/10.04 ( X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X1,X0) != c_Complex_Oii ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6823_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9939,plain,
% 9.82/10.04 ( X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 9.82/10.04 | c_Complex_Ocomplex_OComplex(X1,X0) != c_Complex_Oii ),
% 9.82/10.04 inference(copy,[status(esa)],[c_590]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9940,plain,
% 9.82/10.04 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Oii
% 9.82/10.04 | X1 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9939]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_585,plain,
% 9.82/10.04 ( c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 9.82/10.04 | X0 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6829_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9929,plain,
% 9.82/10.04 ( c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 9.82/10.04 | X0 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_585]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_581,plain,
% 9.82/10.04 ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6831_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9921,plain,
% 9.82/10.04 ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_581]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_579,plain,
% 9.82/10.04 ( hAPP(c_Complex_Ocnj,X0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 9.82/10.04 | X0 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6832_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9917,plain,
% 9.82/10.04 ( hAPP(c_Complex_Ocnj,X0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 9.82/10.04 | X0 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_579]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_577,plain,
% 9.82/10.04 ( c_RealDef_Oreal(tc_Nat_Onat,X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6833_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9913,plain,
% 9.82/10.04 ( c_RealDef_Oreal(tc_Nat_Onat,X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 9.82/10.04 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_577]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_561,plain,
% 9.82/10.04 ( c_Groups_Ozero__class_Ozero(X0) != c_Groups_Oone__class_Oone(X0)
% 9.82/10.04 | ~ class_Rings_Ozero__neq__one(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6840_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9881,plain,
% 9.82/10.04 ( c_Groups_Ozero__class_Ozero(X0) != c_Groups_Oone__class_Oone(X0)
% 9.82/10.04 | ~ class_Rings_Ozero__neq__one(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_561]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9882,plain,
% 9.82/10.04 ( ~ class_Rings_Ozero__neq__one(X0)
% 9.82/10.04 | c_Groups_Ozero__class_Ozero(X0) != c_Groups_Oone__class_Oone(X0) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9881]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_559,plain,
% 9.82/10.04 ( class_Groups_Oone(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6850_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9877,plain,
% 9.82/10.04 ( class_Groups_Oone(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_559]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9878,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.82/10.04 | class_Groups_Oone(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9877]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_557,plain,
% 9.82/10.04 ( class_Rings_Oidom(tc_Polynomial_Opoly(X0)) | ~ class_Rings_Oidom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6851_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9873,plain,
% 9.82/10.04 ( class_Rings_Oidom(tc_Polynomial_Opoly(X0)) | ~ class_Rings_Oidom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_557]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_555,plain,
% 9.82/10.04 ( class_Rings_Oring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__ring(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6852_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9869,plain,
% 9.82/10.04 ( class_Rings_Oring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__ring(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_555]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9870,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__ring(X0)
% 9.82/10.04 | class_Rings_Oring(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9869]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_553,plain,
% 9.82/10.04 ( class_Groups_Ozero(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Ozero(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6853_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9865,plain,
% 9.82/10.04 ( class_Groups_Ozero(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Ozero(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_553]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_551,plain,
% 9.82/10.04 ( class_Power_Opower(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6854_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9861,plain,
% 9.82/10.04 ( class_Power_Opower(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_551]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9862,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.82/10.04 | class_Power_Opower(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9861]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_549,plain,
% 9.82/10.04 ( class_Groups_Ominus(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6855_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9857,plain,
% 9.82/10.04 ( class_Groups_Ominus(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_549]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9858,plain,
% 9.82/10.04 ( ~ class_Groups_Oab__group__add(X0)
% 9.82/10.04 | class_Groups_Ominus(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9857]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_547,plain,
% 9.82/10.04 ( class_Rings_Oring__1(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6856_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9853,plain,
% 9.82/10.04 ( class_Rings_Oring__1(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_547]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9854,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__ring__1(X0)
% 9.82/10.04 | class_Rings_Oring__1(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9853]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_545,plain,
% 9.82/10.04 ( class_Groups_Oabs__if(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6857_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9849,plain,
% 9.82/10.04 ( class_Groups_Oabs__if(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_545]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9850,plain,
% 9.82/10.04 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.04 | class_Groups_Oabs__if(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9849]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_543,plain,
% 9.82/10.04 ( class_Groups_Osgn__if(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6858_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9845,plain,
% 9.82/10.04 ( class_Groups_Osgn__if(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_543]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9846,plain,
% 9.82/10.04 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.04 | class_Groups_Osgn__if(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9845]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_541,plain,
% 9.82/10.04 ( class_Groups_Ouminus(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6859_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9841,plain,
% 9.82/10.04 ( class_Groups_Ouminus(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_541]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9842,plain,
% 9.82/10.04 ( ~ class_Groups_Oab__group__add(X0)
% 9.82/10.04 | class_Groups_Ouminus(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9841]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_539,plain,
% 9.82/10.04 ( class_Orderings_Oord(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6860_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9837,plain,
% 9.82/10.04 ( class_Orderings_Oord(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_539]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9838,plain,
% 9.82/10.04 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.04 | class_Orderings_Oord(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9837]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_537,plain,
% 9.82/10.04 ( class_Rings_Osemiring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6861_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9833,plain,
% 9.82/10.04 ( class_Rings_Osemiring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_537]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9834,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 9.82/10.04 | class_Rings_Osemiring(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9833]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_535,plain,
% 9.82/10.04 ( class_Orderings_Oorder(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6862_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9829,plain,
% 9.82/10.04 ( class_Orderings_Oorder(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_535]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9830,plain,
% 9.82/10.04 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.04 | class_Orderings_Oorder(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9829]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_533,plain,
% 9.82/10.04 ( class_Rings_Omult__zero(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6863_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9825,plain,
% 9.82/10.04 ( class_Rings_Omult__zero(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_533]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9826,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 9.82/10.04 | class_Rings_Omult__zero(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9825]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_531,plain,
% 9.82/10.04 ( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6864_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9821,plain,
% 9.82/10.04 ( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_531]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9822,plain,
% 9.82/10.04 ( ~ class_Groups_Oab__group__add(X0)
% 9.82/10.04 | class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9821]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_529,plain,
% 9.82/10.04 ( class_Rings_Osemiring__0(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6865_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9817,plain,
% 9.82/10.04 ( class_Rings_Osemiring__0(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_529]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9818,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 9.82/10.04 | class_Rings_Osemiring__0(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9817]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_527,plain,
% 9.82/10.04 ( class_Groups_Omonoid__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6866_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9813,plain,
% 9.82/10.04 ( class_Groups_Omonoid__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_527]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9814,plain,
% 9.82/10.04 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 9.82/10.04 | class_Groups_Omonoid__add(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9813]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_525,plain,
% 9.82/10.04 ( class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6867_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9809,plain,
% 9.82/10.04 ( class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_525]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_523,plain,
% 9.82/10.04 ( class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6868_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9805,plain,
% 9.82/10.04 ( class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_523]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9806,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.82/10.04 | class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9805]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_521,plain,
% 9.82/10.04 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6869_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9801,plain,
% 9.82/10.04 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_521]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9802,plain,
% 9.82/10.04 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.04 | class_Orderings_Olinorder(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9801]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_519,plain,
% 9.82/10.04 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6870_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9797,plain,
% 9.82/10.04 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_519]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9798,plain,
% 9.82/10.04 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.04 | class_Orderings_Opreorder(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9797]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_517,plain,
% 9.82/10.04 ( class_Rings_Oordered__ring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6871_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9793,plain,
% 9.82/10.04 ( class_Rings_Oordered__ring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_517]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9794,plain,
% 9.82/10.04 ( ~ class_Rings_Olinordered__idom(X0)
% 9.82/10.04 | class_Rings_Oordered__ring(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9793]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_515,plain,
% 9.82/10.04 ( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6872_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9789,plain,
% 9.82/10.04 ( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_515]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9790,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 9.82/10.04 | class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9789]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_513,plain,
% 9.82/10.04 ( class_Groups_Oab__group__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6873_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9785,plain,
% 9.82/10.04 ( class_Groups_Oab__group__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Oab__group__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_513]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_511,plain,
% 9.82/10.04 ( class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6874_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9781,plain,
% 9.82/10.04 ( class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_511]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9782,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 9.82/10.04 | class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9781]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_509,plain,
% 9.82/10.04 ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6875_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9777,plain,
% 9.82/10.04 ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_509]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_507,plain,
% 9.82/10.04 ( class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6876_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9773,plain,
% 9.82/10.04 ( class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_507]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_505,plain,
% 9.82/10.04 ( class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6877_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9769,plain,
% 9.82/10.04 ( class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_505]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_503,plain,
% 9.82/10.04 ( class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6878_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9765,plain,
% 9.82/10.04 ( class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_503]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_501,plain,
% 9.82/10.04 ( class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Oidom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6879_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9761,plain,
% 9.82/10.04 ( class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Oidom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_501]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_499,plain,
% 9.82/10.04 ( class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6880_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9757,plain,
% 9.82/10.04 ( class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_499]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_497,plain,
% 9.82/10.04 ( class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6881_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9753,plain,
% 9.82/10.04 ( class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_497]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_495,plain,
% 9.82/10.04 ( class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6882_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9749,plain,
% 9.82/10.04 ( class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_495]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_493,plain,
% 9.82/10.04 ( class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6883_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9745,plain,
% 9.82/10.04 ( class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_493]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_491,plain,
% 9.82/10.04 ( class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6884_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9741,plain,
% 9.82/10.04 ( class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_491]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9742,plain,
% 9.82/10.04 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 9.82/10.04 | class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9741]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_489,plain,
% 9.82/10.04 ( class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6885_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9737,plain,
% 9.82/10.04 ( class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_489]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_487,plain,
% 9.82/10.04 ( class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6886_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9733,plain,
% 9.82/10.04 ( class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_487]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_485,plain,
% 9.82/10.04 ( class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6887_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9729,plain,
% 9.82/10.04 ( class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_485]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9730,plain,
% 9.82/10.04 ( ~ class_Groups_Ocancel__comm__monoid__add(X0)
% 9.82/10.04 | class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9729]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_483,plain,
% 9.82/10.04 ( class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6888_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9725,plain,
% 9.82/10.04 ( class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_483]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_481,plain,
% 9.82/10.04 ( class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6889_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9721,plain,
% 9.82/10.04 ( class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_481]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_479,plain,
% 9.82/10.04 ( class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6890_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9717,plain,
% 9.82/10.04 ( class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_479]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_477,plain,
% 9.82/10.04 ( class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Oidom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6891_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9713,plain,
% 9.82/10.04 ( class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Oidom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_477]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_475,plain,
% 9.82/10.04 ( class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6892_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9709,plain,
% 9.82/10.04 ( class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_475]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_473,plain,
% 9.82/10.04 ( class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6893_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9705,plain,
% 9.82/10.04 ( class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_473]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_471,plain,
% 9.82/10.04 ( class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Oidom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6894_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9701,plain,
% 9.82/10.04 ( class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Oidom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_471]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_469,plain,
% 9.82/10.04 ( class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6895_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9697,plain,
% 9.82/10.04 ( class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_469]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9698,plain,
% 9.82/10.04 ( ~ class_Groups_Ocancel__comm__monoid__add(X0)
% 9.82/10.04 | class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9697]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_467,plain,
% 9.82/10.04 ( class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6896_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9693,plain,
% 9.82/10.04 ( class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_467]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_465,plain,
% 9.82/10.04 ( class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6897_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9689,plain,
% 9.82/10.04 ( class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_465]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_463,plain,
% 9.82/10.04 ( class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6898_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9685,plain,
% 9.82/10.04 ( class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_463]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_461,plain,
% 9.82/10.04 ( class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6899_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9681,plain,
% 9.82/10.04 ( class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_461]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_459,plain,
% 9.82/10.04 ( class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6900_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9677,plain,
% 9.82/10.04 ( class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_459]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_457,plain,
% 9.82/10.04 ( class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6901_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9673,plain,
% 9.82/10.04 ( class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_457]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_455,plain,
% 9.82/10.04 ( class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6902_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9669,plain,
% 9.82/10.04 ( class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_455]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_453,plain,
% 9.82/10.04 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6903_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9665,plain,
% 9.82/10.04 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_453]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_451,plain,
% 9.82/10.04 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6904_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9661,plain,
% 9.82/10.04 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Olinordered__idom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_451]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_449,plain,
% 9.82/10.04 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Oidom(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6905_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9657,plain,
% 9.82/10.04 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Oidom(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_449]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_447,plain,
% 9.82/10.04 ( class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__ring(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6906_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9653,plain,
% 9.82/10.04 ( class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__ring(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_447]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_445,plain,
% 9.82/10.04 ( class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6907_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9649,plain,
% 9.82/10.04 ( class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_445]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_443,plain,
% 9.82/10.04 ( class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6908_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9645,plain,
% 9.82/10.04 ( class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 9.82/10.04 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_443]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_439,plain,
% 9.82/10.04 ( X0 = X1 | c_Nat_OSuc(X0) != c_Nat_OSuc(X1) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6910_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9637,plain,
% 9.82/10.04 ( X0 = X1 | c_Nat_OSuc(X0) != c_Nat_OSuc(X1) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_439]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9638,plain,
% 9.82/10.04 ( c_Nat_OSuc(X0) != c_Nat_OSuc(X1) | X0 = X1 ),
% 9.82/10.04 inference(rewriting,[status(thm)],[c_9637]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_437,plain,
% 9.82/10.04 ( c_Nat_OSuc(X0) = c_Nat_OSuc(X1) | X0 != X1 ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6913_1) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9633,plain,
% 9.82/10.04 ( c_Nat_OSuc(X0) = c_Nat_OSuc(X1) | X0 != X1 ),
% 9.82/10.04 inference(copy,[status(esa)],[c_437]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_435,plain,
% 9.82/10.04 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),X0)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5875_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9629,plain,
% 9.82/10.04 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),X0)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_435]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_434,plain,
% 9.82/10.04 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),X1)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5876_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9627,plain,
% 9.82/10.04 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),X1)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_434]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_433,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(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) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6100_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9625,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(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) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_433]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_432,plain,
% 9.82/10.04 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6239_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9623,plain,
% 9.82/10.04 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_432]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_429,plain,
% 9.82/10.04 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6527_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9617,plain,
% 9.82/10.04 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_429]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_427,plain,
% 9.82/10.04 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X0)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6554_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9613,plain,
% 9.82/10.04 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),X0)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_427]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_421,plain,
% 9.82/10.04 ( c_Nat_OSuc(X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6919_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9601,plain,
% 9.82/10.04 ( c_Nat_OSuc(X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_421]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_419,plain,
% 9.82/10.04 ( c_Nat_OSuc(X0) != X0 ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6928_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9597,plain,
% 9.82/10.04 ( c_Nat_OSuc(X0) != X0 ),
% 9.82/10.04 inference(copy,[status(esa)],[c_419]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_418,plain,
% 9.82/10.04 ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6929_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9595,plain,
% 9.82/10.04 ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_418]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_417,plain,
% 9.82/10.04 ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6930_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9593,plain,
% 9.82/10.04 ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_417]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_416,plain,
% 9.82/10.04 ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6931_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9591,plain,
% 9.82/10.04 ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 9.82/10.04 inference(copy,[status(esa)],[c_416]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_415,plain,
% 9.82/10.04 ( c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6932_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9589,plain,
% 9.82/10.04 ( c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 9.82/10.04 inference(copy,[status(esa)],[c_415]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_414,plain,
% 9.82/10.04 ( c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Nat_Onat,tc_RealDef_Oreal,tc_Nat_Onat,c_Fun_Ocomp(tc_Nat_Onat,tc_RealDef_Oreal,tc_Nat_Onat,c_Fun_Ocomp(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,v_s),v_f____),sk1_esk3_0)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5489_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9587,plain,
% 9.82/10.04 ( c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Nat_Onat,tc_RealDef_Oreal,tc_Nat_Onat,c_Fun_Ocomp(tc_Nat_Onat,tc_RealDef_Oreal,tc_Nat_Onat,c_Fun_Ocomp(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,v_s),v_f____),sk1_esk3_0)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_414]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_413,plain,
% 9.82/10.04 ( c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,sk1_esk2_0)))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5490_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9585,plain,
% 9.82/10.04 ( c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,sk1_esk2_0)))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_413]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_412,plain,
% 9.82/10.04 ( c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5491_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9583,plain,
% 9.82/10.04 ( c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_412]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_409,plain,
% 9.82/10.04 ( c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Nat_Onat,tc_RealDef_Oreal,tc_Nat_Onat,c_Fun_Ocomp(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,v_s),sk1_esk8_0)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5521_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9578,plain,
% 9.82/10.04 ( c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Nat_Onat,tc_RealDef_Oreal,tc_Nat_Onat,c_Fun_Ocomp(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,v_s),sk1_esk8_0)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_409]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_408,plain,
% 9.82/10.04 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5522_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9576,plain,
% 9.82/10.04 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_408]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_407,plain,
% 9.82/10.04 ( c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5523_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9574,plain,
% 9.82/10.04 ( c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_407]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_398,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X0),X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5588_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9563,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X0),X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_398]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_397,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X0),X1))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5602_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9561,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X0),X1))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_397]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_394,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(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))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5702_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9557,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(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))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_394]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_388,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk39_0))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5856_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9547,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk39_0))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_388]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_387,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk38_0))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5857_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9545,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk38_0))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_387]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_385,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk33_0))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5859_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9541,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk33_0))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_385]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_384,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk32_0))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5860_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9539,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk32_0))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_384]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_383,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk25_0))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5861_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9537,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk25_0))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_383]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_382,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk24_0))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5862_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9535,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X0))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),sk1_esk24_0))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_382]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_381,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X0)))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5913_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9533,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X0)))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_381]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_379,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5939_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9530,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_379]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_378,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),hAPP(hAPP(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)))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_5956_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9528,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),hAPP(hAPP(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)))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_378]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_373,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X0)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6010_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9522,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X0)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_373]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_367,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),X1))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6039_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9515,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),X1))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_367]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_366,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(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))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6053_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9513,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(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))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_366]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_363,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),v_r)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6103_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9507,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),v_r)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_363]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_352,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),v_r)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6169_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9494,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),v_r)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_352]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_347,plain,
% 9.82/10.04 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),X1) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6204_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9487,plain,
% 9.82/10.04 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),X1) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_347]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_343,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X2)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6241_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9482,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X2)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_343]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_342,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6243_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9480,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_342]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_340,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X0))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6271_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9477,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X0))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_340]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_339,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6272_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9475,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_339]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_338,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6273_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9473,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_338]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_326,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6365_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9460,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_326]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_317,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X0)))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6493_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9450,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X0)))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_317]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_311,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X0))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6518_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9443,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X0))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_311]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_298,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_OSuc(X0))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6580_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9429,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_OSuc(X0))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_298]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_297,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatfloor(X0))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6581_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9427,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatfloor(X0))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_297]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_296,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatceiling(X0))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6582_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9425,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatceiling(X0))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_296]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_295,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6604_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9423,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_295]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_294,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6605_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9421,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_294]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_293,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6606_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9419,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_293]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_292,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6612_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9417,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_292]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_291,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6613_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9415,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_291]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_290,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6614_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9413,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_290]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_289,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6617_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9411,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_289]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_288,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6618_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9409,plain,
% 9.82/10.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_288]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_287,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X0))) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6623_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9407,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0),c_Nat_OSuc(X0))) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_287]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_285,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6625_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9403,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_285]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_284,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk40_0)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6629_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9401,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk40_0)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_284]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_283,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk34_0)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6630_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9399,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk34_0)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_283]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_282,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk33_0)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6631_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9397,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk33_0)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_282]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_281,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk32_0)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6632_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9395,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk32_0)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_281]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_280,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk25_0)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6633_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9393,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk25_0)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_280]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_279,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk24_0)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6634_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9391,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sk1_esk24_0)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_279]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_278,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6635_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9389,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_278]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_272,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X0)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6659_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9382,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X0)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_272]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_271,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X0)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6660_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9380,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X0)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_271]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_270,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X0)) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6661_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9378,plain,
% 9.82/10.04 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X0)) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_270]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_249,plain,
% 9.82/10.04 ( c_Lim_OisUCont(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Complex_Ocnj) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6749_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9356,plain,
% 9.82/10.04 ( c_Lim_OisUCont(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Complex_Ocnj) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_249]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_247,plain,
% 9.82/10.04 ( c_Lim_OisUCont(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Complex_ORe) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6751_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9353,plain,
% 9.82/10.04 ( c_Lim_OisUCont(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Complex_ORe) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_247]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_246,plain,
% 9.82/10.04 ( c_Lim_OisUCont(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Complex_OIm) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6752_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9351,plain,
% 9.82/10.04 ( c_Lim_OisUCont(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Complex_OIm) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_246]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_209,plain,
% 9.82/10.04 ( class_Groups_Oone(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6933_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9313,plain,
% 9.82/10.04 ( class_Groups_Oone(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_209]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_208,plain,
% 9.82/10.04 ( class_Rings_Oidom(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6934_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9311,plain,
% 9.82/10.04 ( class_Rings_Oidom(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_208]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_207,plain,
% 9.82/10.04 ( class_Rings_Oring(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6935_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9309,plain,
% 9.82/10.04 ( class_Rings_Oring(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_207]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_206,plain,
% 9.82/10.04 ( class_Groups_Ozero(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6936_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9307,plain,
% 9.82/10.04 ( class_Groups_Ozero(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_206]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_205,plain,
% 9.82/10.04 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6937_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9305,plain,
% 9.82/10.04 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_205]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_204,plain,
% 9.82/10.04 ( class_Groups_Ominus(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6938_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9303,plain,
% 9.82/10.04 ( class_Groups_Ominus(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_204]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_203,plain,
% 9.82/10.04 ( class_Rings_Oring__1(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6939_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9301,plain,
% 9.82/10.04 ( class_Rings_Oring__1(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_203]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_202,plain,
% 9.82/10.04 ( class_Groups_Ouminus(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6940_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9299,plain,
% 9.82/10.04 ( class_Groups_Ouminus(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_202]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_201,plain,
% 9.82/10.04 ( class_Rings_Osemiring(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6941_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9297,plain,
% 9.82/10.04 ( class_Rings_Osemiring(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_201]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_200,plain,
% 9.82/10.04 ( class_Rings_Omult__zero(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6942_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9295,plain,
% 9.82/10.04 ( class_Rings_Omult__zero(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_200]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_199,plain,
% 9.82/10.04 ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6943_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9293,plain,
% 9.82/10.04 ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_199]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_198,plain,
% 9.82/10.04 ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6944_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9291,plain,
% 9.82/10.04 ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_198]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_197,plain,
% 9.82/10.04 ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6945_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9289,plain,
% 9.82/10.04 ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_197]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_196,plain,
% 9.82/10.04 ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6946_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9287,plain,
% 9.82/10.04 ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_196]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_195,plain,
% 9.82/10.04 ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6947_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9285,plain,
% 9.82/10.04 ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_195]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_194,plain,
% 9.82/10.04 ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6948_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9283,plain,
% 9.82/10.04 ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_194]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_193,plain,
% 9.82/10.04 ( class_SEQ_Ocomplete__space(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6949_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9281,plain,
% 9.82/10.04 ( class_SEQ_Ocomplete__space(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_193]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_192,plain,
% 9.82/10.04 ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6950_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9279,plain,
% 9.82/10.04 ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_192]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_191,plain,
% 9.82/10.04 ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6951_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9277,plain,
% 9.82/10.04 ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_191]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_190,plain,
% 9.82/10.04 ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6952_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9275,plain,
% 9.82/10.04 ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_190]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_189,plain,
% 9.82/10.04 ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6953_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9273,plain,
% 9.82/10.04 ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_189]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_188,plain,
% 9.82/10.04 ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6954_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9271,plain,
% 9.82/10.04 ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_188]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_187,plain,
% 9.82/10.04 ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6955_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9269,plain,
% 9.82/10.04 ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_187]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_186,plain,
% 9.82/10.04 ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6956_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9267,plain,
% 9.82/10.04 ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_186]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_185,plain,
% 9.82/10.04 ( class_RealVector_Ometric__space(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6957_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9265,plain,
% 9.82/10.04 ( class_RealVector_Ometric__space(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_185]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_184,plain,
% 9.82/10.04 ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6958_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9263,plain,
% 9.82/10.04 ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_184]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_183,plain,
% 9.82/10.04 ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6959_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9261,plain,
% 9.82/10.04 ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_183]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_182,plain,
% 9.82/10.04 ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6960_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9259,plain,
% 9.82/10.04 ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_182]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_181,plain,
% 9.82/10.04 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6961_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9257,plain,
% 9.82/10.04 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_181]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_180,plain,
% 9.82/10.04 ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6962_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9255,plain,
% 9.82/10.04 ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_180]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_179,plain,
% 9.82/10.04 ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6963_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9253,plain,
% 9.82/10.04 ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_179]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_178,plain,
% 9.82/10.04 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6964_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9251,plain,
% 9.82/10.04 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_178]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_177,plain,
% 9.82/10.04 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6965_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9249,plain,
% 9.82/10.04 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_177]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_176,plain,
% 9.82/10.04 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6966_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9247,plain,
% 9.82/10.04 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_176]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_175,plain,
% 9.82/10.04 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6967_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9245,plain,
% 9.82/10.04 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_175]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_174,plain,
% 9.82/10.04 ( class_Groups_Oone(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6968_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9243,plain,
% 9.82/10.04 ( class_Groups_Oone(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_174]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_173,plain,
% 9.82/10.04 ( class_Rings_Oidom(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6969_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9241,plain,
% 9.82/10.04 ( class_Rings_Oidom(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_173]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_172,plain,
% 9.82/10.04 ( class_Rings_Oring(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6970_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9239,plain,
% 9.82/10.04 ( class_Rings_Oring(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_172]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_171,plain,
% 9.82/10.04 ( class_Groups_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6971_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9237,plain,
% 9.82/10.04 ( class_Groups_Ozero(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_171]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_170,plain,
% 9.82/10.04 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6972_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9235,plain,
% 9.82/10.04 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_170]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_169,plain,
% 9.82/10.04 ( class_Groups_Ominus(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6973_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9233,plain,
% 9.82/10.04 ( class_Groups_Ominus(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_169]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_168,plain,
% 9.82/10.04 ( class_Rings_Oring__1(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6974_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9231,plain,
% 9.82/10.04 ( class_Rings_Oring__1(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_168]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_167,plain,
% 9.82/10.04 ( class_Groups_Oabs__if(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6975_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9229,plain,
% 9.82/10.04 ( class_Groups_Oabs__if(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_167]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_166,plain,
% 9.82/10.04 ( class_Groups_Osgn__if(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6976_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9227,plain,
% 9.82/10.04 ( class_Groups_Osgn__if(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_166]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_165,plain,
% 9.82/10.04 ( class_Groups_Ouminus(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6977_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9225,plain,
% 9.82/10.04 ( class_Groups_Ouminus(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_165]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_164,plain,
% 9.82/10.04 ( class_Orderings_Oord(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6978_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9223,plain,
% 9.82/10.04 ( class_Orderings_Oord(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_164]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_163,plain,
% 9.82/10.04 ( class_Rings_Osemiring(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6979_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9221,plain,
% 9.82/10.04 ( class_Rings_Osemiring(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_163]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_162,plain,
% 9.82/10.04 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6980_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9219,plain,
% 9.82/10.04 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_162]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_161,plain,
% 9.82/10.04 ( class_Rings_Omult__zero(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6981_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9217,plain,
% 9.82/10.04 ( class_Rings_Omult__zero(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_161]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_160,plain,
% 9.82/10.04 ( class_Groups_Ogroup__add(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6982_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9215,plain,
% 9.82/10.04 ( class_Groups_Ogroup__add(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_160]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_159,plain,
% 9.82/10.04 ( class_Rings_Osemiring__0(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6983_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9213,plain,
% 9.82/10.04 ( class_Rings_Osemiring__0(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_159]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_158,plain,
% 9.82/10.04 ( class_Groups_Omonoid__add(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6984_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9211,plain,
% 9.82/10.04 ( class_Groups_Omonoid__add(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_158]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_157,plain,
% 9.82/10.04 ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6985_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9209,plain,
% 9.82/10.04 ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_157]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_156,plain,
% 9.82/10.04 ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6986_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9207,plain,
% 9.82/10.04 ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_156]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_155,plain,
% 9.82/10.04 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6987_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9205,plain,
% 9.82/10.04 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_155]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_154,plain,
% 9.82/10.04 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6988_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9203,plain,
% 9.82/10.04 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_154]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_153,plain,
% 9.82/10.04 ( class_Rings_Oordered__ring(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6989_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9201,plain,
% 9.82/10.04 ( class_Rings_Oordered__ring(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_153]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_152,plain,
% 9.82/10.04 ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6990_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9199,plain,
% 9.82/10.04 ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_152]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_151,plain,
% 9.82/10.04 ( class_SEQ_Ocomplete__space(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6991_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9197,plain,
% 9.82/10.04 ( class_SEQ_Ocomplete__space(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_151]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_150,plain,
% 9.82/10.04 ( class_Groups_Oab__group__add(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6992_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9195,plain,
% 9.82/10.04 ( class_Groups_Oab__group__add(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_150]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_149,plain,
% 9.82/10.04 ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6993_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9193,plain,
% 9.82/10.04 ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_149]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_148,plain,
% 9.82/10.04 ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6994_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9191,plain,
% 9.82/10.04 ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_148]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_147,plain,
% 9.82/10.04 ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6995_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9189,plain,
% 9.82/10.04 ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_147]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_146,plain,
% 9.82/10.04 ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6996_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9187,plain,
% 9.82/10.04 ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_146]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_145,plain,
% 9.82/10.04 ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6997_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9185,plain,
% 9.82/10.04 ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_145]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_144,plain,
% 9.82/10.04 ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6998_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9183,plain,
% 9.82/10.04 ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_144]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_143,plain,
% 9.82/10.04 ( class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_6999_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9181,plain,
% 9.82/10.04 ( class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_143]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_142,plain,
% 9.82/10.04 ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7000_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9179,plain,
% 9.82/10.04 ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_142]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_141,plain,
% 9.82/10.04 ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7001_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9177,plain,
% 9.82/10.04 ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_141]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_140,plain,
% 9.82/10.04 ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7002_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9175,plain,
% 9.82/10.04 ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_140]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_139,plain,
% 9.82/10.04 ( class_RealVector_Ometric__space(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7003_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9173,plain,
% 9.82/10.04 ( class_RealVector_Ometric__space(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_139]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_138,plain,
% 9.82/10.04 ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7004_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9171,plain,
% 9.82/10.04 ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 9.82/10.04 inference(copy,[status(esa)],[c_138]) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_137,plain,
% 9.82/10.04 ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
% 9.82/10.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7005_0) ).
% 9.82/10.04
% 9.82/10.04 cnf(c_9169,plain,
% 9.82/10.04 ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_137]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_136,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7006_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9167,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_136]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_135,plain,
% 9.82/10.05 ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7007_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9165,plain,
% 9.82/10.05 ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_135]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_134,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7008_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9163,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_134]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_133,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7009_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9161,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_133]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_132,plain,
% 9.82/10.05 ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7010_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9159,plain,
% 9.82/10.05 ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_132]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_131,plain,
% 9.82/10.05 ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7011_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9157,plain,
% 9.82/10.05 ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_131]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_130,plain,
% 9.82/10.05 ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7012_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9155,plain,
% 9.82/10.05 ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_130]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_129,plain,
% 9.82/10.05 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7013_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9153,plain,
% 9.82/10.05 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_129]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_128,plain,
% 9.82/10.05 ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7014_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9151,plain,
% 9.82/10.05 ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_128]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_127,plain,
% 9.82/10.05 ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7015_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9149,plain,
% 9.82/10.05 ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_127]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_126,plain,
% 9.82/10.05 ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7016_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9147,plain,
% 9.82/10.05 ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_126]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_125,plain,
% 9.82/10.05 ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7017_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9145,plain,
% 9.82/10.05 ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_125]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_124,plain,
% 9.82/10.05 ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7018_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9143,plain,
% 9.82/10.05 ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_124]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_123,plain,
% 9.82/10.05 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7019_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9141,plain,
% 9.82/10.05 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_123]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_122,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7020_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9139,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_122]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_121,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7021_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9137,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_121]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_120,plain,
% 9.82/10.05 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7022_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9135,plain,
% 9.82/10.05 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_120]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_119,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7023_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9133,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_119]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_118,plain,
% 9.82/10.05 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7024_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9131,plain,
% 9.82/10.05 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_118]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_117,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7025_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9129,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_117]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_116,plain,
% 9.82/10.05 ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7026_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9127,plain,
% 9.82/10.05 ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_116]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_115,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7027_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9125,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_115]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_114,plain,
% 9.82/10.05 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7028_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9123,plain,
% 9.82/10.05 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_114]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_113,plain,
% 9.82/10.05 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7029_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9121,plain,
% 9.82/10.05 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_113]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_112,plain,
% 9.82/10.05 ( class_Groups_Ominus(tc_HOL_Obool) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7030_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9119,plain,
% 9.82/10.05 ( class_Groups_Ominus(tc_HOL_Obool) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_112]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_111,plain,
% 9.82/10.05 ( class_Groups_Ouminus(tc_HOL_Obool) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7031_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9117,plain,
% 9.82/10.05 ( class_Groups_Ouminus(tc_HOL_Obool) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_111]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_110,plain,
% 9.82/10.05 ( class_Orderings_Oord(tc_HOL_Obool) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7032_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9115,plain,
% 9.82/10.05 ( class_Orderings_Oord(tc_HOL_Obool) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_110]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_109,plain,
% 9.82/10.05 ( class_Orderings_Oorder(tc_HOL_Obool) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7033_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9113,plain,
% 9.82/10.05 ( class_Orderings_Oorder(tc_HOL_Obool) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_109]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_108,plain,
% 9.82/10.05 ( class_Orderings_Opreorder(tc_HOL_Obool) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7034_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9111,plain,
% 9.82/10.05 ( class_Orderings_Opreorder(tc_HOL_Obool) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_108]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_107,plain,
% 9.82/10.05 ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7035_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9109,plain,
% 9.82/10.05 ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_107]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_106,plain,
% 9.82/10.05 ( class_Groups_Oone(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7036_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9107,plain,
% 9.82/10.05 ( class_Groups_Oone(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_106]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_105,plain,
% 9.82/10.05 ( class_Groups_Ozero(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7037_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9105,plain,
% 9.82/10.05 ( class_Groups_Ozero(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_105]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_104,plain,
% 9.82/10.05 ( class_Power_Opower(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7038_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9103,plain,
% 9.82/10.05 ( class_Power_Opower(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_104]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_103,plain,
% 9.82/10.05 ( class_Groups_Ominus(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7039_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9101,plain,
% 9.82/10.05 ( class_Groups_Ominus(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_103]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_102,plain,
% 9.82/10.05 ( class_Orderings_Oord(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7040_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9099,plain,
% 9.82/10.05 ( class_Orderings_Oord(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_102]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_101,plain,
% 9.82/10.05 ( class_Rings_Osemiring(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7041_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9097,plain,
% 9.82/10.05 ( class_Rings_Osemiring(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_101]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_100,plain,
% 9.82/10.05 ( class_Orderings_Oorder(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7042_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9095,plain,
% 9.82/10.05 ( class_Orderings_Oorder(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_100]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_99,plain,
% 9.82/10.05 ( class_Rings_Omult__zero(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7043_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9093,plain,
% 9.82/10.05 ( class_Rings_Omult__zero(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_99]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_98,plain,
% 9.82/10.05 ( class_Rings_Osemiring__0(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7044_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9091,plain,
% 9.82/10.05 ( class_Rings_Osemiring__0(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_98]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_97,plain,
% 9.82/10.05 ( class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7045_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9089,plain,
% 9.82/10.05 ( class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_97]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_96,plain,
% 9.82/10.05 ( class_Groups_Omonoid__mult(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7046_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9087,plain,
% 9.82/10.05 ( class_Groups_Omonoid__mult(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_96]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_95,plain,
% 9.82/10.05 ( class_Orderings_Olinorder(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7047_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9085,plain,
% 9.82/10.05 ( class_Orderings_Olinorder(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_95]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_94,plain,
% 9.82/10.05 ( class_Orderings_Opreorder(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7048_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9083,plain,
% 9.82/10.05 ( class_Orderings_Opreorder(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_94]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_93,plain,
% 9.82/10.05 ( class_Rings_Ozero__neq__one(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7049_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9081,plain,
% 9.82/10.05 ( class_Rings_Ozero__neq__one(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_93]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_92,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7050_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9079,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_92]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_91,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7051_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9077,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_91]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_90,plain,
% 9.82/10.05 ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7052_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9075,plain,
% 9.82/10.05 ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_90]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_89,plain,
% 9.82/10.05 ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7053_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9073,plain,
% 9.82/10.05 ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_89]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_88,plain,
% 9.82/10.05 ( class_Rings_Oordered__semiring(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7054_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9071,plain,
% 9.82/10.05 ( class_Rings_Oordered__semiring(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_88]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_87,plain,
% 9.82/10.05 ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7055_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9069,plain,
% 9.82/10.05 ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_87]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_86,plain,
% 9.82/10.05 ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7056_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9067,plain,
% 9.82/10.05 ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_86]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_85,plain,
% 9.82/10.05 ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7057_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9065,plain,
% 9.82/10.05 ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_85]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_84,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7058_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9063,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_84]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_83,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7059_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9061,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_83]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_82,plain,
% 9.82/10.05 ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7060_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9059,plain,
% 9.82/10.05 ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_82]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_81,plain,
% 9.82/10.05 ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7061_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9057,plain,
% 9.82/10.05 ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_81]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_80,plain,
% 9.82/10.05 ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7062_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9055,plain,
% 9.82/10.05 ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_80]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_79,plain,
% 9.82/10.05 ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7063_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9053,plain,
% 9.82/10.05 ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_79]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_78,plain,
% 9.82/10.05 ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7064_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9051,plain,
% 9.82/10.05 ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_78]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_77,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7065_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9049,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_77]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_76,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7066_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9047,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_76]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_75,plain,
% 9.82/10.05 ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7067_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9045,plain,
% 9.82/10.05 ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_75]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_74,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7068_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9043,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_74]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_73,plain,
% 9.82/10.05 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7069_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9041,plain,
% 9.82/10.05 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_73]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_72,plain,
% 9.82/10.05 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7070_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9039,plain,
% 9.82/10.05 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_72]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_71,plain,
% 9.82/10.05 ( class_Groups_Oone(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7071_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9037,plain,
% 9.82/10.05 ( class_Groups_Oone(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_71]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_70,plain,
% 9.82/10.05 ( class_Rings_Oidom(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7072_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9035,plain,
% 9.82/10.05 ( class_Rings_Oidom(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_70]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_69,plain,
% 9.82/10.05 ( class_Rings_Oring(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7073_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9033,plain,
% 9.82/10.05 ( class_Rings_Oring(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_69]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_68,plain,
% 9.82/10.05 ( class_Groups_Ozero(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7074_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9031,plain,
% 9.82/10.05 ( class_Groups_Ozero(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_68]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_67,plain,
% 9.82/10.05 ( class_Power_Opower(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7075_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9029,plain,
% 9.82/10.05 ( class_Power_Opower(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_67]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_66,plain,
% 9.82/10.05 ( class_Groups_Ominus(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7076_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9027,plain,
% 9.82/10.05 ( class_Groups_Ominus(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_66]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_65,plain,
% 9.82/10.05 ( class_Rings_Oring__1(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7077_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9025,plain,
% 9.82/10.05 ( class_Rings_Oring__1(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_65]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_64,plain,
% 9.82/10.05 ( class_Groups_Oabs__if(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7078_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9023,plain,
% 9.82/10.05 ( class_Groups_Oabs__if(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_64]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_63,plain,
% 9.82/10.05 ( class_Groups_Osgn__if(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7079_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9021,plain,
% 9.82/10.05 ( class_Groups_Osgn__if(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_63]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_62,plain,
% 9.82/10.05 ( class_Groups_Ouminus(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7080_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9019,plain,
% 9.82/10.05 ( class_Groups_Ouminus(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_62]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_61,plain,
% 9.82/10.05 ( class_Orderings_Oord(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7081_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9017,plain,
% 9.82/10.05 ( class_Orderings_Oord(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_61]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_60,plain,
% 9.82/10.05 ( class_Rings_Osemiring(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7082_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9015,plain,
% 9.82/10.05 ( class_Rings_Osemiring(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_60]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_59,plain,
% 9.82/10.05 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7083_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9013,plain,
% 9.82/10.05 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_59]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_58,plain,
% 9.82/10.05 ( class_Rings_Omult__zero(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7084_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9011,plain,
% 9.82/10.05 ( class_Rings_Omult__zero(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_58]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_57,plain,
% 9.82/10.05 ( class_Groups_Ogroup__add(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7085_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9009,plain,
% 9.82/10.05 ( class_Groups_Ogroup__add(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_57]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_56,plain,
% 9.82/10.05 ( class_Rings_Osemiring__0(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7086_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9007,plain,
% 9.82/10.05 ( class_Rings_Osemiring__0(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_56]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_55,plain,
% 9.82/10.05 ( class_Groups_Omonoid__add(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7087_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9005,plain,
% 9.82/10.05 ( class_Groups_Omonoid__add(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_55]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_54,plain,
% 9.82/10.05 ( class_Rings_Ocomm__ring__1(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7088_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9003,plain,
% 9.82/10.05 ( class_Rings_Ocomm__ring__1(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_54]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_53,plain,
% 9.82/10.05 ( class_Groups_Omonoid__mult(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7089_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9001,plain,
% 9.82/10.05 ( class_Groups_Omonoid__mult(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_53]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_52,plain,
% 9.82/10.05 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7090_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8999,plain,
% 9.82/10.05 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_52]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_51,plain,
% 9.82/10.05 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7091_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8997,plain,
% 9.82/10.05 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_51]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_50,plain,
% 9.82/10.05 ( class_Rings_Oordered__ring(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7092_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8995,plain,
% 9.82/10.05 ( class_Rings_Oordered__ring(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_50]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_49,plain,
% 9.82/10.05 ( class_Rings_Ozero__neq__one(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7093_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8993,plain,
% 9.82/10.05 ( class_Rings_Ozero__neq__one(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_49]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_48,plain,
% 9.82/10.05 ( class_Groups_Oab__group__add(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7094_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8991,plain,
% 9.82/10.05 ( class_Groups_Oab__group__add(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_48]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_47,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7095_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8989,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_47]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_46,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7096_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8987,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_46]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_45,plain,
% 9.82/10.05 ( class_Rings_Olinordered__idom(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7097_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8985,plain,
% 9.82/10.05 ( class_Rings_Olinordered__idom(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_45]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_44,plain,
% 9.82/10.05 ( class_Rings_Olinordered__ring(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7098_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8983,plain,
% 9.82/10.05 ( class_Rings_Olinordered__ring(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_44]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_43,plain,
% 9.82/10.05 ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7099_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8981,plain,
% 9.82/10.05 ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_43]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_42,plain,
% 9.82/10.05 ( class_Rings_Ono__zero__divisors(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7100_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8979,plain,
% 9.82/10.05 ( class_Rings_Ono__zero__divisors(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_42]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_41,plain,
% 9.82/10.05 ( class_Rings_Oordered__ring__abs(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7101_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8977,plain,
% 9.82/10.05 ( class_Rings_Oordered__ring__abs(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_41]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_40,plain,
% 9.82/10.05 ( class_Rings_Oordered__semiring(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7102_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8975,plain,
% 9.82/10.05 ( class_Rings_Oordered__semiring(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_40]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_39,plain,
% 9.82/10.05 ( class_Groups_Oab__semigroup__add(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7103_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8973,plain,
% 9.82/10.05 ( class_Groups_Oab__semigroup__add(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_39]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_38,plain,
% 9.82/10.05 ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7104_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8971,plain,
% 9.82/10.05 ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_38]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_37,plain,
% 9.82/10.05 ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7105_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8969,plain,
% 9.82/10.05 ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_37]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_36,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semidom(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7106_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8967,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semidom(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_36]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_35,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7107_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8965,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_35]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_34,plain,
% 9.82/10.05 ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7108_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8963,plain,
% 9.82/10.05 ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_34]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_33,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7109_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8961,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_33]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_32,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7110_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8959,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_32]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_31,plain,
% 9.82/10.05 ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7111_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8957,plain,
% 9.82/10.05 ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_31]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_30,plain,
% 9.82/10.05 ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7112_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8955,plain,
% 9.82/10.05 ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_30]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_29,plain,
% 9.82/10.05 ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7113_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8953,plain,
% 9.82/10.05 ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_29]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_28,plain,
% 9.82/10.05 ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7114_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8951,plain,
% 9.82/10.05 ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_28]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_27,plain,
% 9.82/10.05 ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7115_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8949,plain,
% 9.82/10.05 ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_27]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_26,plain,
% 9.82/10.05 ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7116_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8947,plain,
% 9.82/10.05 ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_26]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_25,plain,
% 9.82/10.05 ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7117_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8945,plain,
% 9.82/10.05 ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_25]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_24,plain,
% 9.82/10.05 ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7118_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8943,plain,
% 9.82/10.05 ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_24]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_23,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7119_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8941,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_23]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_22,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7120_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8939,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_22]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_21,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7121_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8937,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_21]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_20,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7122_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8935,plain,
% 9.82/10.05 ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_20]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_19,plain,
% 9.82/10.05 ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7123_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8933,plain,
% 9.82/10.05 ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_19]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_18,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7124_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8931,plain,
% 9.82/10.05 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_18]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_17,plain,
% 9.82/10.05 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7125_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8929,plain,
% 9.82/10.05 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_17]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_16,plain,
% 9.82/10.05 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7126_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8927,plain,
% 9.82/10.05 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_16]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_15,plain,
% 9.82/10.05 ( class_Rings_Ocomm__ring(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7127_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8925,plain,
% 9.82/10.05 ( class_Rings_Ocomm__ring(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_15]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_14,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7128_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8923,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_14]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_13,plain,
% 9.82/10.05 ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7129_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8921,plain,
% 9.82/10.05 ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_13]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_12,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7130_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8919,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_12]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_11,plain,
% 9.82/10.05 ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7131_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8917,plain,
% 9.82/10.05 ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_11]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_10,plain,
% 9.82/10.05 ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7132_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8915,plain,
% 9.82/10.05 ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_10]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_9,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7133_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8913,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_9]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8,plain,
% 9.82/10.05 ( class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7134_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8911,plain,
% 9.82/10.05 ( class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_8]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_7,plain,
% 9.82/10.05 ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7135_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8909,plain,
% 9.82/10.05 ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_7]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_6,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7136_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8907,plain,
% 9.82/10.05 ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_6]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_5,plain,
% 9.82/10.05 ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7137_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8905,plain,
% 9.82/10.05 ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_5]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_4,plain,
% 9.82/10.05 ( c_SEQ_Osubseq(sk1_esk8_0) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7138_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8903,plain,
% 9.82/10.05 ( c_SEQ_Osubseq(sk1_esk8_0) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_4]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_3,plain,
% 9.82/10.05 ( c_SEQ_Osubseq(sk1_esk3_0) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7139_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8901,plain,
% 9.82/10.05 ( c_SEQ_Osubseq(sk1_esk3_0) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_3]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_2,plain,
% 9.82/10.05 ( c_SEQ_Osubseq(sk1_esk2_0) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7140_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8899,plain,
% 9.82/10.05 ( c_SEQ_Osubseq(sk1_esk2_0) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_2]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_1,plain,
% 9.82/10.05 ( c_SEQ_Osubseq(v_ga____) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7141_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8897,plain,
% 9.82/10.05 ( c_SEQ_Osubseq(v_ga____) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_1]) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_0,plain,
% 9.82/10.05 ( c_SEQ_Osubseq(v_f____) ),
% 9.82/10.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ca4c18.p', c_0_7142_0) ).
% 9.82/10.05
% 9.82/10.05 cnf(c_8895,plain,
% 9.82/10.05 ( c_SEQ_Osubseq(v_f____) ),
% 9.82/10.05 inference(copy,[status(esa)],[c_0]) ).
% 9.82/10.05
% 9.82/10.05
% 9.82/10.05
% 9.82/10.05 % ------ Statistics
% 9.82/10.05
% 9.82/10.05 % ------ General
% 9.82/10.05
% 9.82/10.05 % num_of_input_clauses: 3905
% 9.82/10.05 % num_of_input_neg_conjectures: 1
% 9.82/10.05 % num_of_splits: 0
% 9.82/10.05 % num_of_split_atoms: 0
% 9.82/10.05 % num_of_sem_filtered_clauses: 0
% 9.82/10.05 % num_of_subtypes: 0
% 9.82/10.05 % monotx_restored_types: 0
% 9.82/10.05 % sat_num_of_epr_types: 0
% 9.82/10.05 % sat_num_of_non_cyclic_types: 0
% 9.82/10.05 % sat_guarded_non_collapsed_types: 0
% 9.82/10.05 % is_epr: 0
% 9.82/10.05 % is_horn: 0
% 9.82/10.05 % has_eq: 1
% 9.82/10.05 % num_pure_diseq_elim: 0
% 9.82/10.05 % simp_replaced_by: 0
% 9.82/10.05 % res_preprocessed: 2
% 9.82/10.05 % prep_upred: 0
% 9.82/10.05 % prep_unflattend: 0
% 9.82/10.05 % pred_elim_cands: 0
% 9.82/10.05 % pred_elim: 0
% 9.82/10.05 % pred_elim_cl: 0
% 9.82/10.05 % pred_elim_cycles: 0
% 9.82/10.05 % forced_gc_time: 0
% 9.82/10.05 % gc_basic_clause_elim: 0
% 9.82/10.05 % parsing_time: 0.155
% 9.82/10.05 % sem_filter_time: 0.
% 9.82/10.05 % pred_elim_time: 0.
% 9.82/10.05 % out_proof_time: 0.
% 9.82/10.05 % monotx_time: 0.
% 9.82/10.05 % subtype_inf_time: 0.
% 9.82/10.05 % unif_index_cands_time: 0.
% 9.82/10.05 % unif_index_add_time: 0.003
% 9.82/10.05 % total_time: 9.156
% 9.82/10.05 % num_of_symbols: 227
% 9.82/10.05 % num_of_terms: 8475
% 9.82/10.05
% 9.82/10.05 % ------ Propositional Solver
% 9.82/10.05
% 9.82/10.05 % prop_solver_calls: 1
% 9.82/10.05 % prop_fast_solver_calls: 3
% 9.82/10.05 % prop_num_of_clauses: 3076
% 9.82/10.05 % prop_preprocess_simplified: 12034
% 9.82/10.05 % prop_fo_subsumed: 0
% 9.82/10.05 % prop_solver_time: 0.
% 9.82/10.05 % prop_fast_solver_time: 0.
% 9.82/10.05 % prop_unsat_core_time: 0.
% 9.82/10.05
% 9.82/10.05 % ------ QBF
% 9.82/10.05
% 9.82/10.05 % qbf_q_res: 0
% 9.82/10.05 % qbf_num_tautologies: 0
% 9.82/10.05 % qbf_prep_cycles: 0
% 9.82/10.05
% 9.82/10.05 % ------ BMC1
% 9.82/10.05
% 9.82/10.05 % bmc1_current_bound: -1
% 9.82/10.05 % bmc1_last_solved_bound: -1
% 9.82/10.05 % bmc1_unsat_core_size: -1
% 9.82/10.05 % bmc1_unsat_core_parents_size: -1
% 9.82/10.05 % bmc1_merge_next_fun: 0
% 9.82/10.05 % bmc1_unsat_core_clauses_time: 0.
% 9.82/10.05
% 9.82/10.05 % ------ Instantiation
% 9.82/10.05
% 9.82/10.05 % inst_num_of_clauses: 3604
% 9.82/10.05 % inst_num_in_passive: 0
% 9.82/10.05 % inst_num_in_active: 0
% 9.82/10.05 % inst_num_in_unprocessed: 3905
% 9.82/10.05 % inst_num_of_loops: 0
% 9.82/10.05 % inst_num_of_learning_restarts: 0
% 9.82/10.05 % inst_num_moves_active_passive: 0
% 9.82/10.05 % inst_lit_activity: 0
% 9.82/10.05 % inst_lit_activity_moves: 0
% 9.82/10.05 % inst_num_tautologies: 0
% 9.82/10.05 % inst_num_prop_implied: 0
% 9.82/10.05 % inst_num_existing_simplified: 0
% 9.82/10.05 % inst_num_eq_res_simplified: 0
% 9.82/10.05 % inst_num_child_elim: 0
% 9.82/10.05 % inst_num_of_dismatching_blockings: 0
% 9.82/10.05 % inst_num_of_non_proper_insts: 0
% 9.82/10.05 % inst_num_of_duplicates: 0
% 9.82/10.05 % inst_inst_num_from_inst_to_res: 0
% 9.82/10.05 % inst_dismatching_checking_time: 0.
% 9.82/10.05
% 9.82/10.05 % ------ Resolution
% 9.82/10.05
% 9.82/10.05 % res_num_of_clauses: 4125
% 9.82/10.05 % res_num_in_passive: 0
% 9.82/10.05 % res_num_in_active: 1514
% 9.82/10.05 % res_num_of_loops: 2
% 9.82/10.05 % res_forward_subset_subsumed: 2223
% 9.82/10.05 % res_backward_subset_subsumed: 0
% 9.82/10.05 % res_forward_subsumed: 0
% 9.82/10.05 % res_backward_subsumed: 0
% 9.82/10.05 % res_forward_subsumption_resolution: 0
% 9.82/10.05 % res_backward_subsumption_resolution: 0
% 9.82/10.05 % res_clause_to_clause_subsumption: 1
% 9.82/10.05 % res_orphan_elimination: 0
% 9.82/10.05 % res_tautology_del: 32
% 9.82/10.05 % res_num_eq_res_simplified: 0
% 9.82/10.05 % res_num_sel_changes: 0
% 9.82/10.05 % res_moves_from_active_to_pass: 0
% 9.82/10.05
% 9.82/10.05 % Status Unknown
% 9.82/10.05 % Last status :
% 9.82/10.05 % SZS status Unknown
%------------------------------------------------------------------------------