TSTP Solution File: SWW205+1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWW205+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n026.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 00:28:26 EDT 2022
% Result : Unknown 11.07s 11.30s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW205+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : iprover_modulo %s %d
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 6 03:22:30 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.47/0.68 % Orienting using strategy Equiv(ClausalAll)
% 0.47/0.68 % FOF problem with conjecture
% 0.47/0.68 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_6eed3c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_4e6fdd | grep -v "SZS"
% 0.55/0.71
% 0.55/0.71 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.55/0.71
% 0.55/0.71 %
% 0.55/0.71 % ------ iProver source info
% 0.55/0.71
% 0.55/0.71 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.55/0.71 % git: non_committed_changes: true
% 0.55/0.71 % git: last_make_outside_of_git: true
% 0.55/0.71
% 0.55/0.71 %
% 0.55/0.71 % ------ Input Options
% 0.55/0.71
% 0.55/0.71 % --out_options all
% 0.55/0.71 % --tptp_safe_out true
% 0.55/0.71 % --problem_path ""
% 0.55/0.71 % --include_path ""
% 0.55/0.71 % --clausifier .//eprover
% 0.55/0.71 % --clausifier_options --tstp-format
% 0.55/0.71 % --stdin false
% 0.55/0.71 % --dbg_backtrace false
% 0.55/0.71 % --dbg_dump_prop_clauses false
% 0.55/0.71 % --dbg_dump_prop_clauses_file -
% 0.55/0.71 % --dbg_out_stat false
% 0.55/0.71
% 0.55/0.71 % ------ General Options
% 0.55/0.71
% 0.55/0.71 % --fof false
% 0.55/0.71 % --time_out_real 150.
% 0.55/0.71 % --time_out_prep_mult 0.2
% 0.55/0.71 % --time_out_virtual -1.
% 0.55/0.71 % --schedule none
% 0.55/0.71 % --ground_splitting input
% 0.55/0.71 % --splitting_nvd 16
% 0.55/0.71 % --non_eq_to_eq false
% 0.55/0.71 % --prep_gs_sim true
% 0.55/0.71 % --prep_unflatten false
% 0.55/0.71 % --prep_res_sim true
% 0.55/0.71 % --prep_upred true
% 0.55/0.71 % --res_sim_input true
% 0.55/0.71 % --clause_weak_htbl true
% 0.55/0.71 % --gc_record_bc_elim false
% 0.55/0.71 % --symbol_type_check false
% 0.55/0.71 % --clausify_out false
% 0.55/0.71 % --large_theory_mode false
% 0.55/0.71 % --prep_sem_filter none
% 0.55/0.71 % --prep_sem_filter_out false
% 0.55/0.71 % --preprocessed_out false
% 0.55/0.71 % --sub_typing false
% 0.55/0.71 % --brand_transform false
% 0.55/0.71 % --pure_diseq_elim true
% 0.55/0.71 % --min_unsat_core false
% 0.55/0.71 % --pred_elim true
% 0.55/0.71 % --add_important_lit false
% 0.55/0.71 % --soft_assumptions false
% 0.55/0.71 % --reset_solvers false
% 0.55/0.71 % --bc_imp_inh []
% 0.55/0.71 % --conj_cone_tolerance 1.5
% 0.55/0.71 % --prolific_symb_bound 500
% 0.55/0.71 % --lt_threshold 2000
% 0.55/0.71
% 0.55/0.71 % ------ SAT Options
% 0.55/0.71
% 0.55/0.71 % --sat_mode false
% 0.55/0.71 % --sat_fm_restart_options ""
% 0.55/0.71 % --sat_gr_def false
% 0.55/0.71 % --sat_epr_types true
% 0.55/0.71 % --sat_non_cyclic_types false
% 0.55/0.71 % --sat_finite_models false
% 0.55/0.71 % --sat_fm_lemmas false
% 0.55/0.71 % --sat_fm_prep false
% 0.55/0.71 % --sat_fm_uc_incr true
% 0.55/0.71 % --sat_out_model small
% 0.55/0.71 % --sat_out_clauses false
% 0.55/0.71
% 0.55/0.71 % ------ QBF Options
% 0.55/0.71
% 0.55/0.71 % --qbf_mode false
% 0.55/0.71 % --qbf_elim_univ true
% 0.55/0.71 % --qbf_sk_in true
% 0.55/0.71 % --qbf_pred_elim true
% 0.55/0.71 % --qbf_split 32
% 0.55/0.71
% 0.55/0.71 % ------ BMC1 Options
% 0.55/0.71
% 0.55/0.71 % --bmc1_incremental false
% 0.55/0.71 % --bmc1_axioms reachable_all
% 0.55/0.71 % --bmc1_min_bound 0
% 0.55/0.71 % --bmc1_max_bound -1
% 0.55/0.71 % --bmc1_max_bound_default -1
% 0.55/0.71 % --bmc1_symbol_reachability true
% 0.55/0.71 % --bmc1_property_lemmas false
% 0.55/0.71 % --bmc1_k_induction false
% 0.55/0.71 % --bmc1_non_equiv_states false
% 0.55/0.71 % --bmc1_deadlock false
% 0.55/0.71 % --bmc1_ucm false
% 0.55/0.71 % --bmc1_add_unsat_core none
% 0.55/0.71 % --bmc1_unsat_core_children false
% 0.55/0.71 % --bmc1_unsat_core_extrapolate_axioms false
% 0.55/0.71 % --bmc1_out_stat full
% 0.55/0.71 % --bmc1_ground_init false
% 0.55/0.71 % --bmc1_pre_inst_next_state false
% 0.55/0.71 % --bmc1_pre_inst_state false
% 0.55/0.71 % --bmc1_pre_inst_reach_state false
% 0.55/0.71 % --bmc1_out_unsat_core false
% 0.55/0.71 % --bmc1_aig_witness_out false
% 0.55/0.71 % --bmc1_verbose false
% 0.55/0.71 % --bmc1_dump_clauses_tptp false
% 0.55/0.74 % --bmc1_dump_unsat_core_tptp false
% 0.55/0.74 % --bmc1_dump_file -
% 0.55/0.74 % --bmc1_ucm_expand_uc_limit 128
% 0.55/0.74 % --bmc1_ucm_n_expand_iterations 6
% 0.55/0.74 % --bmc1_ucm_extend_mode 1
% 0.55/0.74 % --bmc1_ucm_init_mode 2
% 0.55/0.74 % --bmc1_ucm_cone_mode none
% 0.55/0.74 % --bmc1_ucm_reduced_relation_type 0
% 0.55/0.74 % --bmc1_ucm_relax_model 4
% 0.55/0.74 % --bmc1_ucm_full_tr_after_sat true
% 0.55/0.74 % --bmc1_ucm_expand_neg_assumptions false
% 0.55/0.74 % --bmc1_ucm_layered_model none
% 0.55/0.74 % --bmc1_ucm_max_lemma_size 10
% 0.55/0.74
% 0.55/0.74 % ------ AIG Options
% 0.55/0.74
% 0.55/0.74 % --aig_mode false
% 0.55/0.74
% 0.55/0.74 % ------ Instantiation Options
% 0.55/0.74
% 0.55/0.74 % --instantiation_flag true
% 0.55/0.74 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.55/0.74 % --inst_solver_per_active 750
% 0.55/0.74 % --inst_solver_calls_frac 0.5
% 0.55/0.74 % --inst_passive_queue_type priority_queues
% 0.55/0.74 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.55/0.74 % --inst_passive_queues_freq [25;2]
% 0.55/0.74 % --inst_dismatching true
% 0.55/0.74 % --inst_eager_unprocessed_to_passive true
% 0.55/0.74 % --inst_prop_sim_given true
% 0.55/0.74 % --inst_prop_sim_new false
% 0.55/0.74 % --inst_orphan_elimination true
% 0.55/0.74 % --inst_learning_loop_flag true
% 0.55/0.74 % --inst_learning_start 3000
% 0.55/0.74 % --inst_learning_factor 2
% 0.55/0.74 % --inst_start_prop_sim_after_learn 3
% 0.55/0.74 % --inst_sel_renew solver
% 0.55/0.74 % --inst_lit_activity_flag true
% 0.55/0.74 % --inst_out_proof true
% 0.55/0.74
% 0.55/0.74 % ------ Resolution Options
% 0.55/0.74
% 0.55/0.74 % --resolution_flag true
% 0.55/0.74 % --res_lit_sel kbo_max
% 0.55/0.74 % --res_to_prop_solver none
% 0.55/0.74 % --res_prop_simpl_new false
% 0.55/0.74 % --res_prop_simpl_given false
% 0.55/0.74 % --res_passive_queue_type priority_queues
% 0.55/0.74 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.55/0.74 % --res_passive_queues_freq [15;5]
% 0.55/0.74 % --res_forward_subs full
% 0.55/0.74 % --res_backward_subs full
% 0.55/0.74 % --res_forward_subs_resolution true
% 0.55/0.74 % --res_backward_subs_resolution true
% 0.55/0.74 % --res_orphan_elimination false
% 0.55/0.74 % --res_time_limit 1000.
% 0.55/0.74 % --res_out_proof true
% 0.55/0.74 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_6eed3c.s
% 0.55/0.74 % --modulo true
% 0.55/0.74
% 0.55/0.74 % ------ Combination Options
% 0.55/0.74
% 0.55/0.74 % --comb_res_mult 1000
% 0.55/0.74 % --comb_inst_mult 300
% 0.55/0.74 % ------
% 0.55/0.74
% 0.55/0.74 % ------ Parsing...%
% 0.55/0.74
% 0.55/0.74
% 0.55/0.74 % ------ Statistics
% 0.55/0.74
% 0.55/0.74 % ------ General
% 0.55/0.74
% 0.55/0.74 % num_of_input_clauses: 805
% 0.55/0.74 % num_of_input_neg_conjectures: 0
% 0.55/0.74 % num_of_splits: 0
% 0.55/0.74 % num_of_split_atoms: 0
% 0.55/0.74 % num_of_sem_filtered_clauses: 0
% 0.55/0.74 % num_of_subtypes: 0
% 0.55/0.74 % monotx_restored_types: 0
% 0.55/0.74 % sat_num_of_epr_types: 0
% 0.55/0.74 % sat_num_of_non_cyclic_types: 0
% 0.55/0.74 % sat_guarded_non_collapsed_types: 0
% 0.55/0.74 % is_epr: 0
% 0.55/0.74 % is_horn: 0
% 0.55/0.74 % has_eq: 0
% 0.55/0.74 % num_pure_diseq_elim: 0
% 0.55/0.74 % simp_replaced_by: 0
% 0.55/0.74 % res_preprocessed: 0
% 0.55/0.74 % prep_upred: 0
% 0.55/0.74 % prep_unflattend: 0
% 0.55/0.74 % pred_elim_cands: 0
% 0.55/0.74 % pred_elim: 0
% 0.55/0.74 % pred_elim_cl: 0
% 0.55/0.74 % pred_elim_cycles: 0
% 0.55/0.74 % forced_gc_time: 0
% 0.55/0.74 % gc_basic_clause_elim: 0
% 0.55/0.74 % parsing_time: 0.
% 0.55/0.74 % sem_filter_time: 0.
% 0.55/0.74 % pred_elim_time: 0.
% 0.55/0.74 % out_proof_time: 0.
% 0.55/0.74 % monotx_time: 0.
% 0.55/0.74 % subtype_inf_time: 0.
% 0.55/0.74 % unif_index_cands_time: 0.
% 0.55/0.74 % uFatal error: exception Failure("Parse error in: /export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p line: 808 near token: '!='")
% 0.55/0.74 nif_index_add_time: 0.
% 0.55/0.74 % total_time: 0.049
% 0.55/0.74 % num_of_symbols: 168
% 0.55/0.74 % num_of_terms: 2072
% 0.55/0.74
% 0.55/0.74 % ------ Propositional Solver
% 0.55/0.74
% 0.55/0.74 % prop_solver_calls: 0
% 0.55/0.74 % prop_fast_solver_calls: 0
% 0.55/0.74 % prop_num_of_clauses: 0
% 0.55/0.74 % prop_preprocess_simplified: 0
% 0.55/0.74 % prop_fo_subsumed: 0
% 0.55/0.74 % prop_solver_time: 0.
% 0.55/0.74 % prop_fast_solver_time: 0.
% 0.55/0.74 % prop_unsat_core_time: 0.
% 0.55/0.74
% 0.55/0.74 % ------ QBF
% 0.55/0.74
% 0.55/0.74 % qbf_q_res: 0
% 0.55/0.74 % qbf_num_tautologies: 0
% 0.55/0.74 % qbf_prep_cycles: 0
% 0.55/0.74
% 0.55/0.74 % ------ BMC1
% 0.55/0.74
% 0.55/0.74 % bmc1_current_bound: -1
% 0.55/0.74 % bmc1_last_solved_bound: -1
% 0.55/0.74 % bmc1_unsat_core_size: -1
% 0.55/0.74 % bmc1_unsat_core_parents_size: -1
% 0.55/0.74 % bmc1_merge_next_fun: 0
% 0.55/0.74 % bmc1_unsat_core_clauses_time: 0.
% 0.55/0.74
% 0.55/0.74 % ------ Instantiation
% 0.55/0.74
% 0.55/0.74 % inst_num_of_clauses: undef
% 0.55/0.74 % inst_num_in_passive: undef
% 0.55/0.74 % inst_num_in_active: 0
% 0.55/0.74 % inst_num_in_unprocessed: 0
% 0.55/0.74 % inst_num_of_loops: 0
% 0.55/0.74 % inst_num_of_learning_restarts: 0
% 0.55/0.74 % inst_num_moves_active_passive: 0
% 0.55/0.74 % inst_lit_activity: 0
% 0.55/0.74 % inst_lit_activity_moves: 0
% 0.55/0.74 % inst_num_tautologies: 0
% 0.55/0.74 % inst_num_prop_implied: 0
% 0.55/0.74 % inst_num_existing_simplified: 0
% 0.55/0.74 % inst_num_eq_res_simplified: 0
% 0.55/0.74 % inst_num_child_elim: 0
% 0.55/0.74 % inst_num_of_dismatching_blockings: 0
% 0.55/0.74 % inst_num_of_non_proper_insts: 0
% 0.55/0.74 % inst_num_of_duplicates: 0
% 0.55/0.74 % inst_inst_num_from_inst_to_res: 0
% 0.55/0.74 % inst_dismatching_checking_time: 0.
% 0.55/0.74
% 0.55/0.74 % ------ Resolution
% 0.55/0.74
% 0.55/0.74 % res_num_of_clauses: undef
% 0.55/0.74 % res_num_in_passive: undef
% 0.55/0.74 % res_num_in_active: 0
% 0.55/0.74 % res_num_of_loops: 0
% 0.55/0.74 % res_forward_subset_subsumed: 0
% 0.55/0.74 % res_backward_subset_subsumed: 0
% 0.55/0.74 % res_forward_subsumed: 0
% 0.55/0.74 % res_backward_subsumed: 0
% 0.55/0.74 % res_forward_subsumption_resolution: 0
% 0.55/0.74 % res_backward_subsumption_resolution: 0
% 0.55/0.74 % res_clause_to_clause_subsumption: 0
% 0.55/0.74 % res_orphan_elimination: 0
% 0.55/0.74 % res_tautology_del: 0
% 0.55/0.74 % res_num_eq_res_simplified: 0
% 0.55/0.74 % res_num_sel_changes: 0
% 0.55/0.74 % res_moves_from_active_to_pass: 0
% 0.55/0.74
% 0.55/0.74 % Status Unknown
% 0.60/1.02 % Orienting using strategy ClausalAll
% 0.60/1.02 % FOF problem with conjecture
% 0.60/1.02 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_6eed3c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_d9bcf0 | grep -v "SZS"
% 0.60/1.04
% 0.60/1.04 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.60/1.04
% 0.60/1.04 %
% 0.60/1.04 % ------ iProver source info
% 0.60/1.04
% 0.60/1.04 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.60/1.04 % git: non_committed_changes: true
% 0.60/1.04 % git: last_make_outside_of_git: true
% 0.60/1.04
% 0.60/1.04 %
% 0.60/1.04 % ------ Input Options
% 0.60/1.04
% 0.60/1.04 % --out_options all
% 0.60/1.04 % --tptp_safe_out true
% 0.60/1.04 % --problem_path ""
% 0.60/1.04 % --include_path ""
% 0.60/1.04 % --clausifier .//eprover
% 0.60/1.04 % --clausifier_options --tstp-format
% 0.60/1.04 % --stdin false
% 0.60/1.04 % --dbg_backtrace false
% 0.60/1.04 % --dbg_dump_prop_clauses false
% 0.60/1.04 % --dbg_dump_prop_clauses_file -
% 0.60/1.04 % --dbg_out_stat false
% 0.60/1.04
% 0.60/1.04 % ------ General Options
% 0.60/1.04
% 0.60/1.04 % --fof false
% 0.60/1.04 % --time_out_real 150.
% 0.60/1.04 % --time_out_prep_mult 0.2
% 0.60/1.04 % --time_out_virtual -1.
% 0.60/1.04 % --schedule none
% 0.60/1.04 % --ground_splitting input
% 0.60/1.04 % --splitting_nvd 16
% 0.60/1.04 % --non_eq_to_eq false
% 0.60/1.04 % --prep_gs_sim true
% 0.60/1.04 % --prep_unflatten false
% 0.60/1.04 % --prep_res_sim true
% 0.60/1.04 % --prep_upred true
% 0.60/1.04 % --res_sim_input true
% 0.60/1.04 % --clause_weak_htbl true
% 0.60/1.04 % --gc_record_bc_elim false
% 0.60/1.04 % --symbol_type_check false
% 0.60/1.04 % --clausify_out false
% 0.60/1.04 % --large_theory_mode false
% 0.60/1.04 % --prep_sem_filter none
% 0.60/1.04 % --prep_sem_filter_out false
% 0.60/1.04 % --preprocessed_out false
% 0.60/1.04 % --sub_typing false
% 0.60/1.04 % --brand_transform false
% 0.60/1.04 % --pure_diseq_elim true
% 0.60/1.04 % --min_unsat_core false
% 0.60/1.04 % --pred_elim true
% 0.60/1.04 % --add_important_lit false
% 0.60/1.04 % --soft_assumptions false
% 0.60/1.04 % --reset_solvers false
% 0.60/1.04 % --bc_imp_inh []
% 0.60/1.04 % --conj_cone_tolerance 1.5
% 0.60/1.04 % --prolific_symb_bound 500
% 0.60/1.04 % --lt_threshold 2000
% 0.60/1.04
% 0.60/1.04 % ------ SAT Options
% 0.60/1.04
% 0.60/1.04 % --sat_mode false
% 0.60/1.04 % --sat_fm_restart_options ""
% 0.60/1.04 % --sat_gr_def false
% 0.60/1.04 % --sat_epr_types true
% 0.60/1.04 % --sat_non_cyclic_types false
% 0.60/1.04 % --sat_finite_models false
% 0.60/1.04 % --sat_fm_lemmas false
% 0.60/1.04 % --sat_fm_prep false
% 0.60/1.04 % --sat_fm_uc_incr true
% 0.60/1.04 % --sat_out_model small
% 0.60/1.04 % --sat_out_clauses false
% 0.60/1.04
% 0.60/1.04 % ------ QBF Options
% 0.60/1.04
% 0.60/1.04 % --qbf_mode false
% 0.60/1.04 % --qbf_elim_univ true
% 0.60/1.04 % --qbf_sk_in true
% 0.60/1.04 % --qbf_pred_elim true
% 0.60/1.04 % --qbf_split 32
% 0.60/1.04
% 0.60/1.04 % ------ BMC1 Options
% 0.60/1.04
% 0.60/1.04 % --bmc1_incremental false
% 0.60/1.04 % --bmc1_axioms reachable_all
% 0.60/1.04 % --bmc1_min_bound 0
% 0.60/1.04 % --bmc1_max_bound -1
% 0.60/1.04 % --bmc1_max_bound_default -1
% 0.60/1.04 % --bmc1_symbol_reachability true
% 0.60/1.04 % --bmc1_property_lemmas false
% 0.60/1.04 % --bmc1_k_induction false
% 0.60/1.04 % --bmc1_non_equiv_states false
% 0.60/1.04 % --bmc1_deadlock false
% 0.60/1.04 % --bmc1_ucm false
% 0.60/1.04 % --bmc1_add_unsat_core none
% 0.60/1.04 % --bmc1_unsat_core_children false
% 0.60/1.04 % --bmc1_unsat_core_extrapolate_axioms false
% 0.60/1.04 % --bmc1_out_stat full
% 0.60/1.04 % --bmc1_ground_init false
% 0.60/1.04 % --bmc1_pre_inst_next_state false
% 0.60/1.04 % --bmc1_pre_inst_state false
% 0.60/1.04 % --bmc1_pre_inst_reach_state false
% 0.60/1.04 % --bmc1_out_unsat_core false
% 0.60/1.04 % --bmc1_aig_witness_out false
% 0.60/1.04 % --bmc1_verbose false
% 0.60/1.04 % --bmc1_dump_clauses_tptp false
% 10.90/11.17 % --bmc1_dump_unsat_core_tptp false
% 10.90/11.17 % --bmc1_dump_file -
% 10.90/11.17 % --bmc1_ucm_expand_uc_limit 128
% 10.90/11.17 % --bmc1_ucm_n_expand_iterations 6
% 10.90/11.17 % --bmc1_ucm_extend_mode 1
% 10.90/11.17 % --bmc1_ucm_init_mode 2
% 10.90/11.17 % --bmc1_ucm_cone_mode none
% 10.90/11.17 % --bmc1_ucm_reduced_relation_type 0
% 10.90/11.17 % --bmc1_ucm_relax_model 4
% 10.90/11.17 % --bmc1_ucm_full_tr_after_sat true
% 10.90/11.17 % --bmc1_ucm_expand_neg_assumptions false
% 10.90/11.17 % --bmc1_ucm_layered_model none
% 10.90/11.17 % --bmc1_ucm_max_lemma_size 10
% 10.90/11.17
% 10.90/11.17 % ------ AIG Options
% 10.90/11.17
% 10.90/11.17 % --aig_mode false
% 10.90/11.17
% 10.90/11.17 % ------ Instantiation Options
% 10.90/11.17
% 10.90/11.17 % --instantiation_flag true
% 10.90/11.17 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 10.90/11.17 % --inst_solver_per_active 750
% 10.90/11.17 % --inst_solver_calls_frac 0.5
% 10.90/11.17 % --inst_passive_queue_type priority_queues
% 10.90/11.17 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 10.90/11.17 % --inst_passive_queues_freq [25;2]
% 10.90/11.17 % --inst_dismatching true
% 10.90/11.17 % --inst_eager_unprocessed_to_passive true
% 10.90/11.17 % --inst_prop_sim_given true
% 10.90/11.17 % --inst_prop_sim_new false
% 10.90/11.17 % --inst_orphan_elimination true
% 10.90/11.17 % --inst_learning_loop_flag true
% 10.90/11.17 % --inst_learning_start 3000
% 10.90/11.17 % --inst_learning_factor 2
% 10.90/11.17 % --inst_start_prop_sim_after_learn 3
% 10.90/11.17 % --inst_sel_renew solver
% 10.90/11.17 % --inst_lit_activity_flag true
% 10.90/11.17 % --inst_out_proof true
% 10.90/11.17
% 10.90/11.17 % ------ Resolution Options
% 10.90/11.17
% 10.90/11.17 % --resolution_flag true
% 10.90/11.17 % --res_lit_sel kbo_max
% 10.90/11.17 % --res_to_prop_solver none
% 10.90/11.17 % --res_prop_simpl_new false
% 10.90/11.17 % --res_prop_simpl_given false
% 10.90/11.17 % --res_passive_queue_type priority_queues
% 10.90/11.17 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 10.90/11.17 % --res_passive_queues_freq [15;5]
% 10.90/11.17 % --res_forward_subs full
% 10.90/11.17 % --res_backward_subs full
% 10.90/11.17 % --res_forward_subs_resolution true
% 10.90/11.17 % --res_backward_subs_resolution true
% 10.90/11.17 % --res_orphan_elimination false
% 10.90/11.17 % --res_time_limit 1000.
% 10.90/11.17 % --res_out_proof true
% 10.90/11.17 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_6eed3c.s
% 10.90/11.17 % --modulo true
% 10.90/11.17
% 10.90/11.17 % ------ Combination Options
% 10.90/11.17
% 10.90/11.17 % --comb_res_mult 1000
% 10.90/11.17 % --comb_inst_mult 300
% 10.90/11.17 % ------
% 10.90/11.17
% 10.90/11.17 % ------ Parsing...% successful
% 10.90/11.17
% 10.90/11.17 % ------ 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 %
% 10.90/11.17
% 10.90/11.17 % ------ Proving...
% 10.90/11.17 % ------ Problem Properties
% 10.90/11.17
% 10.90/11.17 %
% 10.90/11.17 % EPR false
% 10.90/11.17 % Horn false
% 10.90/11.17 % Has equality true
% 10.90/11.17
% 10.90/11.17 % % ------ Input Options Time Limit: Unbounded
% 10.90/11.17
% 10.90/11.17
% 10.90/11.17 Compiling...
% 10.90/11.17 Loading plugin: done.
% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
% 10.90/11.17 Loading plugin: done.
% 10.90/11.17 Compiling...
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% 10.90/11.17 Compiling...
% 10.90/11.17 Loading plugin: done.
% 10.90/11.17 Compiling...
% 10.90/11.17 Loading plugin: done.
% 10.90/11.17 Compiling...
% 10.90/11.17 Loading plugin: done.
% 10.90/11.17 % % ------ Current options:
% 10.90/11.17
% 10.90/11.17 % ------ Input Options
% 10.90/11.17
% 10.90/11.17 % --out_options all
% 10.90/11.17 % --tptp_safe_out true
% 10.90/11.17 % --problem_path ""
% 10.90/11.17 % --include_path ""
% 10.90/11.17 % --clausifier .//eprover
% 10.90/11.17 % --clausifier_options --tstp-format
% 10.90/11.17 % --stdin false
% 10.90/11.17 % --dbg_backtrace false
% 10.90/11.17 % --dbg_dump_prop_clauses false
% 10.90/11.17 % --dbg_dump_prop_clauses_file -
% 10.90/11.17 % --dbg_out_stat false
% 10.90/11.17
% 10.90/11.17 % ------ General Options
% 10.90/11.17
% 10.90/11.17 % --fof false
% 10.90/11.17 % --time_out_real 150.
% 10.90/11.17 % --time_out_prep_mult 0.2
% 10.90/11.17 % --time_out_virtual -1.
% 10.90/11.17 % --schedule none
% 10.90/11.17 % --ground_splitting input
% 10.90/11.17 % --splitting_nvd 16
% 10.90/11.17 % --non_eq_to_eq false
% 10.90/11.17 % --prep_gs_sim true
% 10.90/11.17 % --prep_unflatten false
% 10.90/11.17 % --prep_res_sim true
% 10.90/11.17 % --prep_upred true
% 10.90/11.17 % --res_sim_input true
% 10.90/11.17 % --clause_weak_htbl true
% 10.90/11.17 % --gc_record_bc_elim false
% 10.90/11.17 % --symbol_type_check false
% 10.90/11.17 % --clausify_out false
% 10.90/11.17 % --large_theory_mode false
% 10.90/11.17 % --prep_sem_filter none
% 10.90/11.17 % --prep_sem_filter_out false
% 10.90/11.17 % --preprocessed_out false
% 10.90/11.17 % --sub_typing false
% 10.90/11.17 % --brand_transform false
% 10.90/11.17 % --pure_diseq_elim true
% 10.90/11.17 % --min_unsat_core false
% 10.90/11.17 % --pred_elim true
% 10.90/11.17 % --add_important_lit false
% 10.90/11.17 % --soft_assumptions false
% 10.90/11.17 % --reset_solvers false
% 10.90/11.17 % --bc_imp_inh []
% 10.90/11.17 % --conj_cone_tolerance 1.5
% 10.90/11.17 % --prolific_symb_bound 500
% 10.90/11.17 % --lt_threshold 2000
% 10.90/11.17
% 10.90/11.17 % ------ SAT Options
% 10.90/11.17
% 10.90/11.17 % --sat_mode false
% 10.90/11.17 % --sat_fm_restart_options ""
% 10.90/11.17 % --sat_gr_def false
% 10.90/11.17 % --sat_epr_types true
% 10.90/11.17 % --sat_non_cyclic_types false
% 10.90/11.17 % --sat_finite_models false
% 10.90/11.17 % --sat_fm_lemmas false
% 10.90/11.17 % --sat_fm_prep false
% 10.90/11.17 % --sat_fm_uc_incr true
% 10.90/11.17 % --sat_out_model small
% 10.90/11.17 % --sat_out_clauses false
% 10.90/11.17
% 10.90/11.17 % ------ QBF Options
% 10.90/11.17
% 10.90/11.17 % --qbf_mode false
% 10.90/11.17 % --qbf_elim_univ true
% 10.90/11.17 % --qbf_sk_in true
% 10.90/11.17 % --qbf_pred_elim true
% 10.90/11.17 % --qbf_split 32
% 10.90/11.17
% 10.90/11.17 % ------ BMC1 Options
% 10.90/11.17
% 10.90/11.17 % --bmc1_incremental false
% 10.90/11.17 % --bmc1_axioms reachable_all
% 10.90/11.17 % --bmc1_min_bound 0
% 10.90/11.17 % --bmc1_max_bound -1
% 10.90/11.17 % --bmc1_max_bound_default -1
% 10.90/11.17 % --bmc1_symbol_reachability true
% 10.90/11.17 % --bmc1_property_lemmas false
% 10.90/11.17 % --bmc1_k_induction false
% 10.90/11.17 % --bmc1_non_equiv_states false
% 10.90/11.17 % --bmc1_deadlock false
% 10.90/11.17 % --bmc1_ucm false
% 10.90/11.17 % --bmc1_add_unsat_core none
% 10.90/11.17 % --bmc1_unsat_core_children false
% 10.90/11.17 % --bmc1_unsat_core_extrapolate_axioms false
% 10.90/11.17 % --bmc1_out_stat full
% 10.90/11.17 % --bmc1_ground_init false
% 10.90/11.17 % --bmc1_pre_inst_next_state false
% 10.90/11.17 % --bmc1_pre_inst_state false
% 10.90/11.17 % --bmc1_pre_inst_reach_state false
% 10.90/11.17 % --bmc1_out_unsat_core false
% 10.90/11.17 % --bmc1_aig_witness_out false
% 10.90/11.17 % --bmc1_verbose false
% 10.90/11.17 % --bmc1_dump_clauses_tptp false
% 10.90/11.17 % --bmc1_dump_unsat_core_tptp false
% 10.90/11.17 % --bmc1_dump_file -
% 10.90/11.17 % --bmc1_ucm_expand_uc_limit 128
% 10.90/11.17 % --bmc1_ucm_n_expand_iterations 6
% 10.90/11.17 % --bmc1_ucm_extend_mode 1
% 10.90/11.17 % --bmc1_ucm_init_mode 2
% 10.90/11.17 % --bmc1_ucm_cone_mode none
% 10.90/11.17 % --bmc1_ucm_reduced_relation_type 0
% 10.90/11.17 % --bmc1_ucm_relax_model 4
% 10.90/11.17 % --bmc1_ucm_full_tr_after_sat true
% 10.90/11.17 % --bmc1_ucm_expand_neg_assumptions false
% 10.90/11.17 % --bmc1_ucm_layered_model none
% 10.90/11.17 % --bmc1_ucm_max_lemma_size 10
% 10.90/11.17
% 10.90/11.17 % ------ AIG Options
% 10.90/11.17
% 10.90/11.17 % --aig_mode false
% 10.90/11.17
% 10.90/11.17 % ------ Instantiation Options
% 10.90/11.17
% 10.90/11.17 % --instantiation_flag true
% 10.90/11.17 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 10.90/11.17 % --inst_solver_per_active 750
% 10.90/11.17 % --inst_solver_calls_frac 0.5
% 10.90/11.17 % --inst_passive_queue_type priority_queues
% 10.90/11.17 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 10.90/11.17 % --inst_passive_queues_freq [25;2]
% 10.90/11.17 % --inst_dismatching true
% 10.90/11.17 % --inst_eager_unprocessed_to_passive true
% 10.90/11.17 % --inst_prop_sim_given true
% 10.90/11.17 % --inst_prop_sim_new false
% 10.90/11.17 % --inst_orphan_elimination true
% 10.90/11.17 % --inst_learning_loop_flag true
% 10.90/11.17 % --inst_learning_start 3000
% 10.90/11.17 % --inst_learning_factor 2
% 10.90/11.17 % --inst_start_prop_sim_after_learn 3
% 10.90/11.17 % --inst_sel_renew solver
% 10.90/11.17 % --inst_lit_activity_flag true
% 10.90/11.17 % --inst_out_proof true
% 10.90/11.17
% 10.90/11.17 % ------ Resolution Options
% 10.90/11.17
% 10.90/11.17 % --resolution_flag true
% 10.90/11.17 % --res_lit_sel kbo_max
% 10.90/11.17 % --res_to_prop_solver none
% 10.90/11.17 % --res_prop_simpl_new false
% 10.90/11.17 % --res_prop_simpl_given false
% 10.90/11.17 % --res_passive_queue_type priority_queues
% 10.90/11.17 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 10.90/11.17 % --res_passive_queues_freq [15;5]
% 10.90/11.17 % --res_forward_subs full
% 10.90/11.17 % --res_backward_subs full
% 10.90/11.17 % --res_forward_subs_resolution true
% 10.90/11.17 % --res_backward_subs_resolution true
% 10.90/11.17 % --res_orphan_elimination false
% 10.90/11.17 % --res_time_limit 1000.
% 10.90/11.17 % --res_out_proof true
% 10.90/11.17 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_6eed3c.s
% 10.90/11.17 % --modulo true
% 10.90/11.17
% 10.90/11.17 % ------ Combination Options
% 10.90/11.17
% 10.90/11.17 % --comb_res_mult 1000
% 10.90/11.17 % --comb_inst_mult 300
% 10.90/11.17 % ------
% 10.90/11.17
% 10.90/11.17
% 10.90/11.17
% 10.90/11.17 % ------ Proving...
% 10.90/11.17 % warning: shown sat in sat incomplete mode
% 10.90/11.17 %
% 10.90/11.17
% 10.90/11.17
% 10.90/11.17
% 10.90/11.17
% 10.90/11.17 cnf(c_3963,plain,
% 10.90/11.17 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.17 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.17 | ~ 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_esk24_4(X1,X0,X2,X3))),hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(X1,X3)))),X2)
% 10.90/11.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 10.90/11.17 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5497_3) ).
% 10.90/11.17
% 10.90/11.17 cnf(c_16834,plain,
% 10.90/11.17 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.17 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.17 | ~ 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_esk24_4(X1,X0,X2,X3))),hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(X1,X3)))),X2)
% 10.90/11.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 10.90/11.17 inference(copy,[status(esa)],[c_3963]) ).
% 10.90/11.17
% 10.90/11.17 cnf(c_16835,plain,
% 10.90/11.17 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.17 | ~ 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_esk24_4(X1,X0,X2,X3))),hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(X1,X3)))),X2)
% 10.90/11.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.17 | c_SEQ_OBseq(X0,X1) ),
% 10.90/11.17 inference(rewriting,[status(thm)],[c_16834]) ).
% 10.90/11.17
% 10.90/11.17 cnf(c_3959,plain,
% 10.90/11.17 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.17 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.17 | ~ 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_esk21_4(X1,X0,X2,X3))),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X3))),X2)
% 10.90/11.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 10.90/11.17 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5498_3) ).
% 10.90/11.17
% 10.90/11.17 cnf(c_16826,plain,
% 10.90/11.17 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.17 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.17 | ~ 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_esk21_4(X1,X0,X2,X3))),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X3))),X2)
% 10.90/11.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 10.90/11.17 inference(copy,[status(esa)],[c_3959]) ).
% 10.90/11.17
% 10.90/11.17 cnf(c_16827,plain,
% 10.90/11.17 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.17 | ~ 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_esk21_4(X1,X0,X2,X3))),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X3))),X2)
% 10.90/11.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.17 | c_SEQ_OBseq(X0,X1) ),
% 10.90/11.17 inference(rewriting,[status(thm)],[c_16826]) ).
% 10.90/11.17
% 10.90/11.17 cnf(c_3952,plain,
% 10.90/11.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk65_3(X0,X1,X2),X2)
% 10.90/11.17 | ~ 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_esk64_3(X0,X1,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X1,sk1_esk64_3(X0,X1,X2)))),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 10.90/11.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2)) ),
% 10.90/11.17 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5500_3) ).
% 10.90/11.17
% 10.90/11.17 cnf(c_16812,plain,
% 10.90/11.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk65_3(X0,X1,X2),X2)
% 10.90/11.17 | ~ 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_esk64_3(X0,X1,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X1,sk1_esk64_3(X0,X1,X2)))),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 10.90/11.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2)) ),
% 10.90/11.17 inference(copy,[status(esa)],[c_3952]) ).
% 10.90/11.17
% 10.90/11.17 cnf(c_16813,plain,
% 10.90/11.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk65_3(X0,X1,X2),X2)
% 10.90/11.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.17 | ~ 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_esk64_3(X0,X1,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X1,sk1_esk64_3(X0,X1,X2)))),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 10.90/11.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2)) ),
% 10.90/11.17 inference(rewriting,[status(thm)],[c_16812]) ).
% 10.90/11.17
% 10.90/11.17 cnf(c_3948,plain,
% 10.90/11.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk63_3(X0,X1,X2),X2)
% 10.90/11.17 | ~ 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_esk62_3(X0,X1,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X1,sk1_esk62_3(X0,X1,X2)))),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 10.90/11.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2)) ),
% 10.90/11.17 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5501_3) ).
% 10.90/11.17
% 10.90/11.17 cnf(c_16804,plain,
% 10.90/11.17 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk63_3(X0,X1,X2),X2)
% 10.90/11.18 | ~ 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_esk62_3(X0,X1,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X1,sk1_esk62_3(X0,X1,X2)))),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3948]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16805,plain,
% 10.90/11.18 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk63_3(X0,X1,X2),X2)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.18 | ~ 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_esk62_3(X0,X1,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X1,sk1_esk62_3(X0,X1,X2)))),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16804]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3944,plain,
% 10.90/11.18 ( hAPP(X0,sk1_esk65_3(X1,X0,X2)) = X1
% 10.90/11.18 | ~ 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_esk64_3(X1,X0,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X0,sk1_esk64_3(X1,X0,X2)))),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,hAPP(X0,X2)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5502_3) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16796,plain,
% 10.90/11.18 ( hAPP(X0,sk1_esk65_3(X1,X0,X2)) = X1
% 10.90/11.18 | ~ 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_esk64_3(X1,X0,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X0,sk1_esk64_3(X1,X0,X2)))),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,hAPP(X0,X2)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3944]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16797,plain,
% 10.90/11.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.18 | ~ 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_esk64_3(X1,X0,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X0,sk1_esk64_3(X1,X0,X2)))),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,hAPP(X0,X2))
% 10.90/11.18 | hAPP(X0,sk1_esk65_3(X1,X0,X2)) = X1 ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16796]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3940,plain,
% 10.90/11.18 ( hAPP(X0,sk1_esk63_3(X1,X0,X2)) = X1
% 10.90/11.18 | ~ 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_esk62_3(X1,X0,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X0,sk1_esk62_3(X1,X0,X2)))),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,hAPP(X0,X2)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5503_3) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16788,plain,
% 10.90/11.18 ( hAPP(X0,sk1_esk63_3(X1,X0,X2)) = X1
% 10.90/11.18 | ~ 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_esk62_3(X1,X0,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X0,sk1_esk62_3(X1,X0,X2)))),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,hAPP(X0,X2)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3940]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16789,plain,
% 10.90/11.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.18 | ~ 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_esk62_3(X1,X0,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(X0,sk1_esk62_3(X1,X0,X2)))),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,hAPP(X0,X2))
% 10.90/11.18 | hAPP(X0,sk1_esk63_3(X1,X0,X2)) = X1 ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16788]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3929,plain,
% 10.90/11.18 ( 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))))
% 10.90/11.18 | ~ class_Orderings_Oord(X4)
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5507_4) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16766,plain,
% 10.90/11.18 ( 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))))
% 10.90/11.18 | ~ class_Orderings_Oord(X4)
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3929]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16767,plain,
% 10.90/11.18 ( ~ class_Orderings_Oord(X0)
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.18 | 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))))
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16766]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3927,plain,
% 10.90/11.18 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.18 | 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))
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X2) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5508_1) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16762,plain,
% 10.90/11.18 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.18 | 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))
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X2) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3927]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16763,plain,
% 10.90/11.18 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.18 | 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))
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X2) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16762]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3923,plain,
% 10.90/11.18 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.18 | 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))
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X2) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5509_1) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16754,plain,
% 10.90/11.18 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.18 | 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))
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X2) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3923]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16755,plain,
% 10.90/11.18 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | 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))
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X2) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16754]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3907,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5517_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16722,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3907]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16723,plain,
% 10.90/11.18 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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)
% 10.90/11.18 | 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)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16722]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3904,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5518_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16716,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3904]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16717,plain,
% 10.90/11.18 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | 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))
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16716]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3901,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5519_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16710,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3901]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16711,plain,
% 10.90/11.18 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | 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))
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16710]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3898,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5520_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16704,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3898]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16705,plain,
% 10.90/11.18 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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)
% 10.90/11.18 | 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)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16704]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3895,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X0)
% 10.90/11.18 | ~ 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) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5521_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16698,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X0)
% 10.90/11.18 | ~ 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) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3895]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16699,plain,
% 10.90/11.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.18 | ~ 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)
% 10.90/11.18 | 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)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16698]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3892,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X3)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5522_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16692,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X3)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3892]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16693,plain,
% 10.90/11.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.18 | 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))
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16692]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3886,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X3)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5524_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16680,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X3)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3886]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16681,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X3) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16680]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3883,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5526_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16674,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3883]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16675,plain,
% 10.90/11.18 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | 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)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16674]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3880,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5527_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16668,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3880]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16669,plain,
% 10.90/11.18 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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))
% 10.90/11.18 | 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)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16668]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3877,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5528_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16662,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3877]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16663,plain,
% 10.90/11.18 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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))
% 10.90/11.18 | 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)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16662]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3874,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5529_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16656,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3874]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16657,plain,
% 10.90/11.18 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.18 | 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)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16656]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3867,plain,
% 10.90/11.18 ( c_SEQ_Oconvergent(X0,X1)
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5532_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16642,plain,
% 10.90/11.18 ( c_SEQ_Oconvergent(X0,X1)
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3867]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16643,plain,
% 10.90/11.18 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.18 | c_SEQ_Oconvergent(X0,X1) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16642]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3864,plain,
% 10.90/11.18 ( c_SEQ_Odecseq(X0,X1)
% 10.90/11.18 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.18 | ~ c_SEQ_Oincseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5533_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16636,plain,
% 10.90/11.18 ( c_SEQ_Odecseq(X0,X1)
% 10.90/11.18 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.18 | ~ c_SEQ_Oincseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3864]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16637,plain,
% 10.90/11.18 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.18 | ~ c_SEQ_Oincseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.18 | c_SEQ_Odecseq(X0,X1) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16636]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3861,plain,
% 10.90/11.18 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_SEQ_OBseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5534_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16630,plain,
% 10.90/11.18 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_SEQ_OBseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3861]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16631,plain,
% 10.90/11.18 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_SEQ_OBseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.18 | c_SEQ_OBseq(X0,X1) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16630]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3858,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5535_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16624,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3858]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16625,plain,
% 10.90/11.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.18 | 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)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16624]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3855,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5536_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16618,plain,
% 10.90/11.18 ( 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3855]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16619,plain,
% 10.90/11.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.18 | ~ 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))
% 10.90/11.18 | 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)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16618]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3852,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5537_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16612,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.18 | ~ 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)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3852]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16613,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16612]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3846,plain,
% 10.90/11.18 ( c_SEQ_OCauchy(X0,X1)
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,sk1_esk46_3(X1,X0,X2)),hAPP(X1,sk1_esk47_3(X1,X0,X2)))),sk1_esk45_2(X1,X0)) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5539_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16600,plain,
% 10.90/11.18 ( c_SEQ_OCauchy(X0,X1)
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,sk1_esk46_3(X1,X0,X2)),hAPP(X1,sk1_esk47_3(X1,X0,X2)))),sk1_esk45_2(X1,X0)) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3846]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16601,plain,
% 10.90/11.18 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,sk1_esk46_3(X1,X0,X2)),hAPP(X1,sk1_esk47_3(X1,X0,X2)))),sk1_esk45_2(X1,X0))
% 10.90/11.18 | c_SEQ_OCauchy(X0,X1) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16600]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3843,plain,
% 10.90/11.18 ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 10.90/11.18 | ~ class_Orderings_Oord(X1)
% 10.90/11.18 | ~ 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))) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5540_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16594,plain,
% 10.90/11.18 ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 10.90/11.18 | ~ class_Orderings_Oord(X1)
% 10.90/11.18 | ~ 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))) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3843]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16595,plain,
% 10.90/11.18 ( ~ class_Orderings_Oord(X0)
% 10.90/11.18 | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 10.90/11.18 | ~ 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))) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16594]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3840,plain,
% 10.90/11.18 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk16_4(X2,X1,X3,X0))),X2) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5541_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16588,plain,
% 10.90/11.18 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk16_4(X2,X1,X3,X0))),X2) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3840]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16589,plain,
% 10.90/11.18 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk16_4(X2,X1,X3,X0))),X2)
% 10.90/11.18 | c_SEQ_OBseq(X0,X1) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16588]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3827,plain,
% 10.90/11.18 ( c_SEQ_OCauchy(X0,c_COMBB(X1,X0,tc_Nat_Onat,X2,X3))
% 10.90/11.18 | ~ c_SEQ_OCauchy(X1,X3)
% 10.90/11.18 | ~ c_Lim_OisUCont(X1,X0,X2)
% 10.90/11.18 | ~ class_RealVector_Ometric__space(X1)
% 10.90/11.18 | ~ class_RealVector_Ometric__space(X0) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5548_4) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16562,plain,
% 10.90/11.18 ( c_SEQ_OCauchy(X0,c_COMBB(X1,X0,tc_Nat_Onat,X2,X3))
% 10.90/11.18 | ~ c_SEQ_OCauchy(X1,X3)
% 10.90/11.18 | ~ c_Lim_OisUCont(X1,X0,X2)
% 10.90/11.18 | ~ class_RealVector_Ometric__space(X1)
% 10.90/11.18 | ~ class_RealVector_Ometric__space(X0) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3827]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16563,plain,
% 10.90/11.18 ( ~ class_RealVector_Ometric__space(X0)
% 10.90/11.18 | ~ class_RealVector_Ometric__space(X1)
% 10.90/11.18 | ~ c_Lim_OisUCont(X0,X1,X2)
% 10.90/11.18 | c_SEQ_OCauchy(X1,c_COMBB(X0,X1,tc_Nat_Onat,X2,X3))
% 10.90/11.18 | ~ c_SEQ_OCauchy(X0,X3) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16562]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3811,plain,
% 10.90/11.18 ( 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))))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 10.90/11.18 | ~ hBOOL(hAPP(X0,X1))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.18 | ~ hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),sk1_esk54_3(X2,X0,X3)),X3))) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5555_4) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16530,plain,
% 10.90/11.18 ( 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))))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 10.90/11.18 | ~ hBOOL(hAPP(X0,X1))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.18 | ~ hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),sk1_esk54_3(X2,X0,X3)),X3))) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3811]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16531,plain,
% 10.90/11.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.18 | ~ hBOOL(hAPP(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),sk1_esk54_3(X0,X2,X1)),X1)))
% 10.90/11.18 | 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))))
% 10.90/11.18 | ~ hBOOL(hAPP(X2,X3)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16530]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3807,plain,
% 10.90/11.18 ( c_SEQ_OCauchy(X0,c_COMBB(tc_RealDef_Oreal,X0,tc_Nat_Onat,c_RealVector_Oof__real(X0),X1))
% 10.90/11.18 | ~ c_SEQ_OCauchy(tc_RealDef_Oreal,X1)
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5556_3) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16522,plain,
% 10.90/11.18 ( c_SEQ_OCauchy(X0,c_COMBB(tc_RealDef_Oreal,X0,tc_Nat_Onat,c_RealVector_Oof__real(X0),X1))
% 10.90/11.18 | ~ c_SEQ_OCauchy(tc_RealDef_Oreal,X1)
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3807]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16523,plain,
% 10.90/11.18 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.18 | ~ c_SEQ_OCauchy(tc_RealDef_Oreal,X1)
% 10.90/11.18 | c_SEQ_OCauchy(X0,c_COMBB(tc_RealDef_Oreal,X0,tc_Nat_Onat,c_RealVector_Oof__real(X0),X1)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16522]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3803,plain,
% 10.90/11.18 ( c_SEQ_Oconvergent(X0,c_COMBB(tc_RealDef_Oreal,X0,tc_Nat_Onat,c_RealVector_Oof__real(X0),X1))
% 10.90/11.18 | ~ c_SEQ_Oconvergent(tc_RealDef_Oreal,X1)
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5557_3) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16514,plain,
% 10.90/11.18 ( c_SEQ_Oconvergent(X0,c_COMBB(tc_RealDef_Oreal,X0,tc_Nat_Onat,c_RealVector_Oof__real(X0),X1))
% 10.90/11.18 | ~ c_SEQ_Oconvergent(tc_RealDef_Oreal,X1)
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3803]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16515,plain,
% 10.90/11.18 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.18 | ~ c_SEQ_Oconvergent(tc_RealDef_Oreal,X1)
% 10.90/11.18 | c_SEQ_Oconvergent(X0,c_COMBB(tc_RealDef_Oreal,X0,tc_Nat_Onat,c_RealVector_Oof__real(X0),X1)) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16514]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3800,plain,
% 10.90/11.18 ( c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5562_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16508,plain,
% 10.90/11.18 ( c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3800]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16509,plain,
% 10.90/11.18 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16508]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3797,plain,
% 10.90/11.18 ( c_SEQ_Oincseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.18 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.18 | ~ c_SEQ_Odecseq(X0,X1) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5563_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16502,plain,
% 10.90/11.18 ( c_SEQ_Oincseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.18 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.18 | ~ c_SEQ_Odecseq(X0,X1) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3797]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16503,plain,
% 10.90/11.18 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.18 | c_SEQ_Oincseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.18 | ~ c_SEQ_Odecseq(X0,X1) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16502]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3791,plain,
% 10.90/11.18 ( c_SEQ_OBseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5565_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16490,plain,
% 10.90/11.18 ( c_SEQ_OBseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.18 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3791]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16491,plain,
% 10.90/11.18 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.18 | c_SEQ_OBseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.18 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16490]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3787,plain,
% 10.90/11.18 ( c_SEQ_Oconvergent(X0,c_Fun_Ocomp(tc_Nat_Onat,X0,tc_Nat_Onat,X1,X2))
% 10.90/11.18 | ~ c_SEQ_Osubseq(X2)
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.18 | ~ class_SEQ_Ocomplete__space(X0) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5566_3) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16482,plain,
% 10.90/11.18 ( c_SEQ_Oconvergent(X0,c_Fun_Ocomp(tc_Nat_Onat,X0,tc_Nat_Onat,X1,X2))
% 10.90/11.18 | ~ c_SEQ_Osubseq(X2)
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.18 | ~ class_SEQ_Ocomplete__space(X0) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3787]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16483,plain,
% 10.90/11.18 ( ~ c_SEQ_Osubseq(X0)
% 10.90/11.18 | ~ class_SEQ_Ocomplete__space(X1)
% 10.90/11.18 | c_SEQ_Oconvergent(X1,c_Fun_Ocomp(tc_Nat_Onat,X1,tc_Nat_Onat,X2,X0))
% 10.90/11.18 | ~ c_SEQ_Oconvergent(X1,X2) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16482]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3783,plain,
% 10.90/11.18 ( c_SEQ_OCauchy(X0,c_Fun_Ocomp(tc_Nat_Onat,X0,tc_Nat_Onat,X1,X2))
% 10.90/11.18 | ~ c_SEQ_Osubseq(X2)
% 10.90/11.18 | ~ c_SEQ_OCauchy(X0,X1)
% 10.90/11.18 | ~ class_RealVector_Ometric__space(X0) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5567_3) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16474,plain,
% 10.90/11.18 ( c_SEQ_OCauchy(X0,c_Fun_Ocomp(tc_Nat_Onat,X0,tc_Nat_Onat,X1,X2))
% 10.90/11.18 | ~ c_SEQ_Osubseq(X2)
% 10.90/11.18 | ~ c_SEQ_OCauchy(X0,X1)
% 10.90/11.18 | ~ class_RealVector_Ometric__space(X0) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3783]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16475,plain,
% 10.90/11.18 ( ~ c_SEQ_Osubseq(X0)
% 10.90/11.18 | ~ class_RealVector_Ometric__space(X1)
% 10.90/11.18 | c_SEQ_OCauchy(X1,c_Fun_Ocomp(tc_Nat_Onat,X1,tc_Nat_Onat,X2,X0))
% 10.90/11.18 | ~ c_SEQ_OCauchy(X1,X2) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16474]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3772,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ class_Rings_Oring(X0)
% 10.90/11.18 | 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) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5572_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16452,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ class_Rings_Oring(X0)
% 10.90/11.18 | 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) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3772]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16453,plain,
% 10.90/11.18 ( ~ class_Rings_Oring(X0)
% 10.90/11.18 | 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)
% 10.90/11.18 | 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) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16452]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3769,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ class_Rings_Oring(X0)
% 10.90/11.18 | 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 ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5573_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16446,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ class_Rings_Oring(X0)
% 10.90/11.18 | 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 ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3769]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16447,plain,
% 10.90/11.18 ( ~ class_Rings_Oring(X0)
% 10.90/11.18 | 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
% 10.90/11.18 | 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) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16446]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3766,plain,
% 10.90/11.18 ( 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_esk30_2(X1,X0)),X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.18 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.18 | X0 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5574_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16440,plain,
% 10.90/11.18 ( 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_esk30_2(X1,X0)),X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.18 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.18 | X0 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3766]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16441,plain,
% 10.90/11.18 ( 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_esk30_2(X1,X0)),X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.18 | X0 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 10.90/11.18 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16440]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3763,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X0)
% 10.90/11.18 | 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 ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5575_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16434,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X0)
% 10.90/11.18 | 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 ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3763]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16435,plain,
% 10.90/11.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.18 | 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
% 10.90/11.18 | 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) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16434]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3760,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X3)
% 10.90/11.18 | 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) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5576_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16428,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X3)
% 10.90/11.18 | 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) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3760]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16429,plain,
% 10.90/11.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.18 | 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)
% 10.90/11.18 | 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) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16428]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3755,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ class_Rings_Oring(X1)
% 10.90/11.18 | 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) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5578_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16418,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ class_Rings_Oring(X1)
% 10.90/11.18 | 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) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3755]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16419,plain,
% 10.90/11.18 ( ~ class_Rings_Oring(X0)
% 10.90/11.18 | 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)
% 10.90/11.18 | 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) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16418]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3752,plain,
% 10.90/11.18 ( 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
% 10.90/11.18 | ~ class_Rings_Oring(X0)
% 10.90/11.18 | 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) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5579_2) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16412,plain,
% 10.90/11.18 ( 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
% 10.90/11.18 | ~ class_Rings_Oring(X0)
% 10.90/11.18 | 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) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3752]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16413,plain,
% 10.90/11.18 ( ~ class_Rings_Oring(X0)
% 10.90/11.18 | 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
% 10.90/11.18 | 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) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16412]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3751,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X3)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X0)
% 10.90/11.18 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X4) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5580_0) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16410,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X3)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X0)
% 10.90/11.18 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X4) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3751]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16411,plain,
% 10.90/11.18 ( ~ 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X4)
% 10.90/11.18 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5,X1)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 10.90/11.18 | 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) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16410]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3745,plain,
% 10.90/11.18 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X2)
% 10.90/11.18 | ~ 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))
% 10.90/11.18 | 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) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5580_6) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16398,plain,
% 10.90/11.18 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X2)
% 10.90/11.18 | ~ 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))
% 10.90/11.18 | 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) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3745]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16399,plain,
% 10.90/11.18 ( ~ 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 10.90/11.18 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,X1)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X5)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 10.90/11.18 | 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) ),
% 10.90/11.18 inference(rewriting,[status(thm)],[c_16398]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_3744,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X0)
% 10.90/11.18 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,X1) ),
% 10.90/11.18 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5581_0) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16396,plain,
% 10.90/11.18 ( 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)
% 10.90/11.18 | ~ 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))
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X0)
% 10.90/11.18 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,X1) ),
% 10.90/11.18 inference(copy,[status(esa)],[c_3744]) ).
% 10.90/11.18
% 10.90/11.18 cnf(c_16397,plain,
% 10.90/11.18 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 10.90/11.18 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X4)
% 10.90/11.18 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.18 | ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X2)
% 10.90/11.19 | 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) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16396]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3738,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X3)
% 10.90/11.19 | ~ 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))
% 10.90/11.19 | 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) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5581_6) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16384,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X3)
% 10.90/11.19 | ~ 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))
% 10.90/11.19 | 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) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3738]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16385,plain,
% 10.90/11.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 10.90/11.19 | ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X4)
% 10.90/11.19 | 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) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16384]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3733,plain,
% 10.90/11.19 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 10.90/11.19 | ~ hBOOL(hAPP(X0,X1))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.19 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,sk1_esk52_3(X2,X0,X3),X3))) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5582_4) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16374,plain,
% 10.90/11.19 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 10.90/11.19 | ~ hBOOL(hAPP(X0,X1))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.19 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,sk1_esk52_3(X2,X0,X3),X3))) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3733]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16375,plain,
% 10.90/11.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.19 | ~ hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,sk1_esk52_3(X0,X2,X1),X1)))
% 10.90/11.19 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))))
% 10.90/11.19 | ~ hBOOL(hAPP(X2,X3)) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16374]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3730,plain,
% 10.90/11.19 ( 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
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.19 | 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) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5583_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16368,plain,
% 10.90/11.19 ( 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
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.19 | 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) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3730]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16369,plain,
% 10.90/11.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.19 | 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
% 10.90/11.19 | 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) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16368]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3727,plain,
% 10.90/11.19 ( 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)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.19 | 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) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5584_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16362,plain,
% 10.90/11.19 ( 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)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.19 | 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) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3727]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16363,plain,
% 10.90/11.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.19 | 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)
% 10.90/11.19 | 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) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16362]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3723,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X4)
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5586_1) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16354,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X4)
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3723]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16355,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16354]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3718,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X0) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5587_1) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16344,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X0) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3718]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16345,plain,
% 10.90/11.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.19 | ~ 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))
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X1) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16344]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3715,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5587_4) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16338,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3715]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16339,plain,
% 10.90/11.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.19 | ~ 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))
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16338]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3704,plain,
% 10.90/11.19 ( 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_esk23_2(X1,X0))))),sk1_esk22_2(X1,X0))
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5593_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16316,plain,
% 10.90/11.19 ( 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_esk23_2(X1,X0))))),sk1_esk22_2(X1,X0))
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3704]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16317,plain,
% 10.90/11.19 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | 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_esk23_2(X1,X0))))),sk1_esk22_2(X1,X0))
% 10.90/11.19 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16316]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3702,plain,
% 10.90/11.19 ( ~ 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)))
% 10.90/11.19 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.19 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.19 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5594_1) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16312,plain,
% 10.90/11.19 ( ~ 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)))
% 10.90/11.19 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.19 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.19 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3702]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16313,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.19 | ~ 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)))
% 10.90/11.19 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.19 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16312]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3700,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.19 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.19 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.19 | ~ 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))) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5594_3) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16308,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.19 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.19 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.19 | ~ 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))) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3700]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16309,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.19 | ~ 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)))
% 10.90/11.19 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.19 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16308]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3696,plain,
% 10.90/11.19 ( 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))))
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk67_3(X1,X0,X3))),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5595_3) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16300,plain,
% 10.90/11.19 ( 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))))
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk67_3(X1,X0,X3))),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3696]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16301,plain,
% 10.90/11.19 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk67_3(X1,X0,X2))),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.19 | 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)))) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16300]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3693,plain,
% 10.90/11.19 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.19 | ~ class_Rings_Olinordered__ring__strict(X1)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5596_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16294,plain,
% 10.90/11.19 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.19 | ~ class_Rings_Olinordered__ring__strict(X1)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3693]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16295,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.19 | ~ 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))
% 10.90/11.19 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16294]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3690,plain,
% 10.90/11.19 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.19 | ~ class_Rings_Olinordered__ring__strict(X1)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5597_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16288,plain,
% 10.90/11.19 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.19 | ~ class_Rings_Olinordered__ring__strict(X1)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3690]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16289,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.19 | ~ 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))
% 10.90/11.19 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16288]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3687,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 10.90/11.19 | 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)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X4),X5) != c_Groups_Oone__class_Oone(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X5) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5599_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16282,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 10.90/11.19 | 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)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X4),X5) != c_Groups_Oone__class_Oone(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X5) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3687]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16283,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.19 | 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)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X3,X5)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16282]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3685,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.19 | 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)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4) != c_Groups_Oone__class_Oone(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X5,X2) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5599_4) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16278,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.19 | 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)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4) != c_Groups_Oone__class_Oone(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X5,X2) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3685]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16279,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.19 | 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)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X3,X5)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) != c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16278]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3683,plain,
% 10.90/11.19 ( 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)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3) != c_Groups_Oone__class_Oone(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X2,X5)
% 10.90/11.19 | ~ class_Rings_Olinordered__semiring__1__strict(X0) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5599_6) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16274,plain,
% 10.90/11.19 ( 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)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3) != c_Groups_Oone__class_Oone(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X2,X5)
% 10.90/11.19 | ~ class_Rings_Olinordered__semiring__1__strict(X0) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3683]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16275,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.19 | 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)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X3,X5)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) != c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16274]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3680,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 10.90/11.19 | 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)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X4),X5) != c_Groups_Oone__class_Oone(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X5) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5600_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16268,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 10.90/11.19 | 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)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X4),X5) != c_Groups_Oone__class_Oone(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X5) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3680]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16269,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.19 | 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)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X5)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X5)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16268]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3678,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.19 | 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)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4) != c_Groups_Oone__class_Oone(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X5,X2) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5600_4) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16264,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.19 | 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)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X4) != c_Groups_Oone__class_Oone(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X5,X2) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3678]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16265,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.19 | 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)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X5)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X5)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) != c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16264]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3676,plain,
% 10.90/11.19 ( 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)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3) != c_Groups_Oone__class_Oone(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X5)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X5)
% 10.90/11.19 | ~ class_Rings_Olinordered__semiring__1(X0) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5600_6) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16260,plain,
% 10.90/11.19 ( 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)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3) != c_Groups_Oone__class_Oone(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X5)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X5)
% 10.90/11.19 | ~ class_Rings_Olinordered__semiring__1(X0) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3676]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16261,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.19 | 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)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X5)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X5)
% 10.90/11.19 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) != c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16260]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3669,plain,
% 10.90/11.19 ( 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))
% 10.90/11.19 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.19 | X1 = X3
% 10.90/11.19 | X2 = X4 ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5603_0) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16246,plain,
% 10.90/11.19 ( 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))
% 10.90/11.19 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.19 | X1 = X3
% 10.90/11.19 | X2 = X4 ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3669]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16247,plain,
% 10.90/11.19 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.19 | 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))
% 10.90/11.19 | X1 = X3
% 10.90/11.19 | X2 = X4 ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16246]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3666,plain,
% 10.90/11.19 ( X0 = X1
% 10.90/11.19 | X2 = X3
% 10.90/11.19 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4)
% 10.90/11.19 | 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)) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5603_3) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16240,plain,
% 10.90/11.19 ( X0 = X1
% 10.90/11.19 | X2 = X3
% 10.90/11.19 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4)
% 10.90/11.19 | 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)) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3666]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16241,plain,
% 10.90/11.19 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.19 | 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))
% 10.90/11.19 | X2 = X4
% 10.90/11.19 | X1 = X3 ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16240]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3661,plain,
% 10.90/11.19 ( 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))
% 10.90/11.19 | 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))
% 10.90/11.19 | 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))
% 10.90/11.19 | 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))
% 10.90/11.19 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5604_4) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16230,plain,
% 10.90/11.19 ( 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))
% 10.90/11.19 | 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))
% 10.90/11.19 | 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))
% 10.90/11.19 | 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))
% 10.90/11.19 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3661]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16231,plain,
% 10.90/11.19 ( 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))
% 10.90/11.19 | 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))
% 10.90/11.19 | 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))
% 10.90/11.19 | 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))
% 10.90/11.19 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16230]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3658,plain,
% 10.90/11.19 ( ~ c_SEQ_OCauchy(X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk44_3(X1,X0,X2),X3)
% 10.90/11.19 | 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)
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk44_3(X1,X0,X2),X4) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5605_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16224,plain,
% 10.90/11.19 ( ~ c_SEQ_OCauchy(X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk44_3(X1,X0,X2),X3)
% 10.90/11.19 | 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)
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk44_3(X1,X0,X2),X4) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3658]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16225,plain,
% 10.90/11.19 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk44_3(X1,X0,X2),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk44_3(X1,X0,X2),X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.19 | 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)
% 10.90/11.19 | ~ c_SEQ_OCauchy(X0,X1) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16224]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3655,plain,
% 10.90/11.19 ( 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)
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk44_3(X1,X0,X4),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk44_3(X1,X0,X4),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4)
% 10.90/11.19 | ~ c_SEQ_OCauchy(X0,X1) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5605_5) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16218,plain,
% 10.90/11.19 ( 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)
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk44_3(X1,X0,X4),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk44_3(X1,X0,X4),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4)
% 10.90/11.19 | ~ c_SEQ_OCauchy(X0,X1) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3655]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16219,plain,
% 10.90/11.19 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk44_3(X1,X0,X2),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk44_3(X1,X0,X2),X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.19 | 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)
% 10.90/11.19 | ~ c_SEQ_OCauchy(X0,X1) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16218]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3653,plain,
% 10.90/11.19 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_SEQ_OCauchy(X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X2,X1,X0),X3)
% 10.90/11.19 | 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)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X2,X1,X0),X4) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5606_1) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16214,plain,
% 10.90/11.19 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_SEQ_OCauchy(X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X2,X1,X0),X3)
% 10.90/11.19 | 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)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X2,X1,X0),X4) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3653]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16215,plain,
% 10.90/11.19 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X2,X0),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X2,X0),X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.19 | 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)
% 10.90/11.19 | ~ c_SEQ_OCauchy(X0,X2) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16214]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3649,plain,
% 10.90/11.19 ( 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)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X4,X1,X0),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X4,X1,X0),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4)
% 10.90/11.19 | ~ c_SEQ_OCauchy(X0,X1)
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5606_5) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16206,plain,
% 10.90/11.19 ( 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)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X4,X1,X0),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X4,X1,X0),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4)
% 10.90/11.19 | ~ c_SEQ_OCauchy(X0,X1)
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3649]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16207,plain,
% 10.90/11.19 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X2,X0),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk43_3(X1,X2,X0),X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.19 | 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)
% 10.90/11.19 | ~ c_SEQ_OCauchy(X0,X2) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16206]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3646,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk70_2(X1,X0))
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ 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))) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5607_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16200,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk70_2(X1,X0))
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ 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))) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3646]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16201,plain,
% 10.90/11.19 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk70_2(X1,X0))
% 10.90/11.19 | ~ 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))) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16200]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3641,plain,
% 10.90/11.19 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 10.90/11.19 | hBOOL(hAPP(X0,sk1_esk52_3(X2,X0,X3)))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 10.90/11.19 | ~ hBOOL(hAPP(X0,X1))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5608_4) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16190,plain,
% 10.90/11.19 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 10.90/11.19 | hBOOL(hAPP(X0,sk1_esk52_3(X2,X0,X3)))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 10.90/11.19 | ~ hBOOL(hAPP(X0,X1))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3641]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16191,plain,
% 10.90/11.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.19 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))))
% 10.90/11.19 | hBOOL(hAPP(X2,sk1_esk52_3(X0,X2,X1)))
% 10.90/11.19 | ~ hBOOL(hAPP(X2,X3)) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16190]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3636,plain,
% 10.90/11.19 ( 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))))
% 10.90/11.19 | hBOOL(hAPP(X0,sk1_esk54_3(X2,X0,X3)))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 10.90/11.19 | ~ hBOOL(hAPP(X0,X1))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5609_4) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16180,plain,
% 10.90/11.19 ( 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))))
% 10.90/11.19 | hBOOL(hAPP(X0,sk1_esk54_3(X2,X0,X3)))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 10.90/11.19 | ~ hBOOL(hAPP(X0,X1))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3636]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16181,plain,
% 10.90/11.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.19 | 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))))
% 10.90/11.19 | hBOOL(hAPP(X2,sk1_esk54_3(X0,X2,X1)))
% 10.90/11.19 | ~ hBOOL(hAPP(X2,X3)) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16180]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3631,plain,
% 10.90/11.19 ( 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))))
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(X4,X3,sk1_esk51_4(X1,X3,X4,X0))
% 10.90/11.19 | ~ class_Orderings_Oord(X4)
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5610_4) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16170,plain,
% 10.90/11.19 ( 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))))
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(X4,X3,sk1_esk51_4(X1,X3,X4,X0))
% 10.90/11.19 | ~ class_Orderings_Oord(X4)
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3631]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16171,plain,
% 10.90/11.19 ( ~ class_Orderings_Oord(X0)
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(X0,X2,sk1_esk51_4(X3,X2,X0,X1))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 10.90/11.19 | 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)))) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16170]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3627,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5611_3) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16162,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3627]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16163,plain,
% 10.90/11.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16162]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3620,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk70_2(X0,X1))
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.19 | ~ 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))) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5614_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16148,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk70_2(X0,X1))
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.19 | ~ 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))) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3620]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16149,plain,
% 10.90/11.19 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk70_2(X1,X0))
% 10.90/11.19 | ~ 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))) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16148]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3616,plain,
% 10.90/11.19 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk27_3(X1,X2,X0))),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5615_3) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16140,plain,
% 10.90/11.19 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk27_3(X1,X2,X0))),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3616]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16141,plain,
% 10.90/11.19 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk27_3(X1,X2,X0))),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.19 | c_SEQ_OBseq(X0,X1) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16140]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3612,plain,
% 10.90/11.19 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk18_3(X1,X0,X2))),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5616_3) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16132,plain,
% 10.90/11.19 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk18_3(X1,X0,X2))),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3612]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16133,plain,
% 10.90/11.19 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk18_3(X1,X0,X2))),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.19 | c_SEQ_OBseq(X0,X1) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16132]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3605,plain,
% 10.90/11.19 ( 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_esk20_2(X1,X0)))),sk1_esk19_2(X1,X0))
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5619_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16118,plain,
% 10.90/11.19 ( 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_esk20_2(X1,X0)))),sk1_esk19_2(X1,X0))
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3605]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16119,plain,
% 10.90/11.19 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | 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_esk20_2(X1,X0)))),sk1_esk19_2(X1,X0))
% 10.90/11.19 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16118]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3599,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5622_0) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16106,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3599]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16107,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16106]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3598,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5622_1) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16104,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3598]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16105,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16104]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3596,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5622_3) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16100,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3596]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16101,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16100]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3595,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5623_0) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16098,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3595]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16099,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16098]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3594,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5623_1) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16096,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3594]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16097,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16096]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3592,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5623_3) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16092,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3592]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16093,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16092]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3590,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5624_1) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16088,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3590]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16089,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.19 | ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16088]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3588,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5624_3) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16084,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3588]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16085,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.19 | ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16084]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3586,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5625_1) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16080,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 10.90/11.19 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3586]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16081,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.19 | ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16080]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3584,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5625_3) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16076,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3584]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16077,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.19 | ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16076]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3580,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3)
% 10.90/11.19 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X1) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5628_3) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16068,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3)
% 10.90/11.19 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X1) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3580]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16069,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16068]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3577,plain,
% 10.90/11.19 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.19 | 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))
% 10.90/11.19 | ~ class_Rings_Olinordered__ring__strict(X1)
% 10.90/11.19 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5629_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16062,plain,
% 10.90/11.19 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.19 | 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))
% 10.90/11.19 | ~ class_Rings_Olinordered__ring__strict(X1)
% 10.90/11.19 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3577]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16063,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.19 | 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))
% 10.90/11.19 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.19 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16062]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3576,plain,
% 10.90/11.19 ( 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))
% 10.90/11.19 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.19 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.19 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5629_3) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16060,plain,
% 10.90/11.19 ( 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))
% 10.90/11.19 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.19 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.19 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3576]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16061,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.19 | 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))
% 10.90/11.19 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.19 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16060]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3564,plain,
% 10.90/11.19 ( 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)))
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5634_1) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16036,plain,
% 10.90/11.19 ( 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)))
% 10.90/11.19 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3564]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16037,plain,
% 10.90/11.19 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.19 | 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))) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16036]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3555,plain,
% 10.90/11.19 ( 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))
% 10.90/11.19 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.19 | X1 != X3 ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5637_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16018,plain,
% 10.90/11.19 ( 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))
% 10.90/11.19 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.19 | X1 != X3 ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3555]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16019,plain,
% 10.90/11.19 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.19 | 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))
% 10.90/11.19 | X1 != X3 ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16018]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3552,plain,
% 10.90/11.19 ( 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))
% 10.90/11.19 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.19 | X2 != X4 ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5638_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16012,plain,
% 10.90/11.19 ( 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))
% 10.90/11.19 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.19 | X2 != X4 ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3552]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_16013,plain,
% 10.90/11.19 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.19 | 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))
% 10.90/11.19 | X2 != X4 ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_16012]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3543,plain,
% 10.90/11.19 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.19 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.19 | ~ hBOOL(hAPP(X0,sk1_esk49_3(X2,X1,X0))) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5642_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15994,plain,
% 10.90/11.19 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.19 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.19 | ~ hBOOL(hAPP(X0,sk1_esk49_3(X2,X1,X0))) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3543]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15995,plain,
% 10.90/11.19 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.19 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.19 | ~ hBOOL(hAPP(X0,sk1_esk49_3(X2,X1,X0))) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_15994]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3540,plain,
% 10.90/11.19 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.19 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.19 | ~ hBOOL(hAPP(X0,sk1_esk48_3(X2,X1,X0))) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5643_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15988,plain,
% 10.90/11.19 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.19 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.19 | ~ hBOOL(hAPP(X0,sk1_esk48_3(X2,X1,X0))) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3540]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15989,plain,
% 10.90/11.19 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.19 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.19 | ~ hBOOL(hAPP(X0,sk1_esk48_3(X2,X1,X0))) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_15988]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3538,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 10.90/11.19 | 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X3),X4) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5644_1) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15984,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 10.90/11.19 | 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X3),X4) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3538]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15985,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.19 | 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X2),X4) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_15984]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3533,plain,
% 10.90/11.19 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 10.90/11.19 | ~ hBOOL(hAPP(X0,sk1_esk49_3(X2,X1,X0))) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5645_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15974,plain,
% 10.90/11.19 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 10.90/11.19 | ~ hBOOL(hAPP(X0,sk1_esk49_3(X2,X1,X0))) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3533]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15975,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.19 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 10.90/11.19 | ~ hBOOL(hAPP(X2,sk1_esk49_3(X1,X0,X2))) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_15974]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3530,plain,
% 10.90/11.19 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 10.90/11.19 | ~ hBOOL(hAPP(X0,sk1_esk48_3(X2,X1,X0))) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5646_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15968,plain,
% 10.90/11.19 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 10.90/11.19 | ~ hBOOL(hAPP(X0,sk1_esk48_3(X2,X1,X0))) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3530]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15969,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.19 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 10.90/11.19 | ~ hBOOL(hAPP(X2,sk1_esk48_3(X1,X0,X2))) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_15968]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3519,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3)
% 10.90/11.19 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X3,X1)),X2) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5651_2) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15946,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3)
% 10.90/11.19 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X3,X1)),X2) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3519]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15947,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X1) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_15946]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3517,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5652_1) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15942,plain,
% 10.90/11.19 ( ~ 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3517]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15943,plain,
% 10.90/11.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.19 | ~ 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))
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_15942]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3515,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5652_3) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15938,plain,
% 10.90/11.19 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.19 | ~ 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)) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3515]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15939,plain,
% 10.90/11.19 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.19 | ~ 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))
% 10.90/11.19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_15938]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3505,plain,
% 10.90/11.19 ( 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.19 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5654_5) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15918,plain,
% 10.90/11.19 ( 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.19 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3505]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15919,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.19 | 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_15918]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3499,plain,
% 10.90/11.19 ( 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.19 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5655_5) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15906,plain,
% 10.90/11.19 ( 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.19 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3499]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15907,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.19 | 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_15906]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3497,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5656_1) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15902,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3497]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15903,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.19 | 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4) ),
% 10.90/11.19 inference(rewriting,[status(thm)],[c_15902]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_3495,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.19 | 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 10.90/11.19 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5656_3) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15898,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.19 | 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))
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 10.90/11.19 inference(copy,[status(esa)],[c_3495]) ).
% 10.90/11.19
% 10.90/11.19 cnf(c_15899,plain,
% 10.90/11.19 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.19 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15898]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3493,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5656_5) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15894,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3493]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15895,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15894]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3489,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5657_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15886,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3489]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15887,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15886]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3487,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5657_5) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15882,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3487]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15883,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15882]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3485,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5658_1) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15878,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3485]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15879,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15878]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3483,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5658_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15874,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3483]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15875,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15874]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3481,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Oordered__semiring(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5658_5) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15870,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Oordered__semiring(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3481]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15871,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15870]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3479,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5659_1) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15866,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3479]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15867,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15866]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3477,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5659_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15862,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3477]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15863,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15862]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3475,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Oordered__semiring(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5659_5) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15858,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Oordered__semiring(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3475]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15859,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15858]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3473,plain,
% 10.90/11.20 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5660_1) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15854,plain,
% 10.90/11.20 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3473]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15855,plain,
% 10.90/11.20 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15854]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3469,plain,
% 10.90/11.20 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5661_1) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15846,plain,
% 10.90/11.20 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3469]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15847,plain,
% 10.90/11.20 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15846]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3464,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 10.90/11.20 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5662_2) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15836,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 10.90/11.20 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3464]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15837,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3)) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15836]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3444,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(X3)))
% 10.90/11.20 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5672_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15796,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(X3)))
% 10.90/11.20 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3444]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15797,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X3)))
% 10.90/11.20 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15796]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3441,plain,
% 10.90/11.20 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X1)
% 10.90/11.20 | 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) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5673_2) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15790,plain,
% 10.90/11.20 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X1)
% 10.90/11.20 | 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) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3441]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15791,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | 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)
% 10.90/11.20 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15790]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3438,plain,
% 10.90/11.20 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X1)
% 10.90/11.20 | 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) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5674_2) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15784,plain,
% 10.90/11.20 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X1)
% 10.90/11.20 | 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) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3438]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15785,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | 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)
% 10.90/11.20 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15784]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3434,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk64_3(X0,X1,X2),X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk65_3(X0,X1,X2),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5675_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15776,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk64_3(X0,X1,X2),X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk65_3(X0,X1,X2),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3434]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15777,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk65_3(X0,X1,X2),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk64_3(X0,X1,X2),X2) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15776]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3430,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk62_3(X0,X1,X2),X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk63_3(X0,X1,X2),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5676_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15768,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk62_3(X0,X1,X2),X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk63_3(X0,X1,X2),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3430]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15769,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk63_3(X0,X1,X2),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk62_3(X0,X1,X2),X2) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15768]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3410,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5682_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15728,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3410]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15729,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15728]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3406,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5683_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15720,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3406]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15721,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15720]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3402,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5684_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15712,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3402]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15713,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15712]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3398,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5685_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15704,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3398]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15705,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15704]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3394,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5686_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15696,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3394]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15697,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15696]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3390,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5687_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15688,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3390]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15689,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15688]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3386,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5688_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15680,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3386]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15681,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15680]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3382,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5689_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15672,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3382]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15673,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15672]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3378,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5690_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15664,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3378]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15665,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15664]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3362,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.20 | ~ class_Rings_Olinordered__semidom(X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5694_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15632,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.20 | ~ class_Rings_Olinordered__semidom(X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3362]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15633,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15632]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3357,plain,
% 10.90/11.20 ( c_RComplete_Onatceiling(X0) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 10.90/11.20 | ~ 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)))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5696_2) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15622,plain,
% 10.90/11.20 ( c_RComplete_Onatceiling(X0) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 10.90/11.20 | ~ 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)))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3357]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15623,plain,
% 10.90/11.20 ( ~ 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)))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0)
% 10.90/11.20 | c_RComplete_Onatceiling(X0) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15622]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3348,plain,
% 10.90/11.20 ( 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)))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5700_2) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15604,plain,
% 10.90/11.20 ( 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)))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3348]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15605,plain,
% 10.90/11.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.20 | 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))) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15604]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3334,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk64_3(X0,X1,X2),X2)
% 10.90/11.20 | hAPP(X1,sk1_esk65_3(X0,X1,X2)) = X0
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5706_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15576,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk64_3(X0,X1,X2),X2)
% 10.90/11.20 | hAPP(X1,sk1_esk65_3(X0,X1,X2)) = X0
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3334]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15577,plain,
% 10.90/11.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,hAPP(X0,X2))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk64_3(X1,X0,X2),X2)
% 10.90/11.20 | hAPP(X0,sk1_esk65_3(X1,X0,X2)) = X1 ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15576]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3330,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk62_3(X0,X1,X2),X2)
% 10.90/11.20 | hAPP(X1,sk1_esk63_3(X0,X1,X2)) = X0
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5707_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15568,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk62_3(X0,X1,X2),X2)
% 10.90/11.20 | hAPP(X1,sk1_esk63_3(X0,X1,X2)) = X0
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,hAPP(X1,X2)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3330]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15569,plain,
% 10.90/11.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,hAPP(X0,X2))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk62_3(X1,X0,X2),X2)
% 10.90/11.20 | hAPP(X0,sk1_esk63_3(X1,X0,X2)) = X1 ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15568]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3325,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5708_4) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15558,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3325]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15559,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15558]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3321,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5709_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15550,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3321]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15551,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15550]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3317,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5710_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15542,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3317]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15543,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15542]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3297,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5719_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15502,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3297]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15503,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15502]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3293,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5720_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15494,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3293]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15495,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15494]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3289,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5721_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15486,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3289]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15487,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15486]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3285,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5722_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15478,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3285]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15479,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15478]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3284,plain,
% 10.90/11.20 ( ~ 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5723_0) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15476,plain,
% 10.90/11.20 ( ~ 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3284]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15477,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15476]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3281,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5723_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15470,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3281]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15471,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15470]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3280,plain,
% 10.90/11.20 ( ~ 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5724_0) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15468,plain,
% 10.90/11.20 ( ~ 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3280]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15469,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15468]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3277,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5724_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15462,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3277]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15463,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.20 | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15462]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3262,plain,
% 10.90/11.20 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5732_1) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15432,plain,
% 10.90/11.20 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3262]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15433,plain,
% 10.90/11.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15432]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3260,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5732_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15428,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3260]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15429,plain,
% 10.90/11.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15428]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3231,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5742_2) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15370,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.20 | ~ 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)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3231]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15371,plain,
% 10.90/11.20 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.20 | ~ 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))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15370]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3212,plain,
% 10.90/11.20 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.20 | X1 != X2
% 10.90/11.20 | X3 = X4
% 10.90/11.20 | X5 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.20 | 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)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5750_2) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15332,plain,
% 10.90/11.20 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.20 | X1 != X2
% 10.90/11.20 | X3 = X4
% 10.90/11.20 | X5 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.20 | 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)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3212]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15333,plain,
% 10.90/11.20 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.20 | 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))
% 10.90/11.20 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.20 | X1 != X4
% 10.90/11.20 | X3 = X5 ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15332]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3210,plain,
% 10.90/11.20 ( X0 = X1
% 10.90/11.20 | X2 = c_Groups_Ozero__class_Ozero(X3)
% 10.90/11.20 | 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))
% 10.90/11.20 | X4 != X5
% 10.90/11.20 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5750_4) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15328,plain,
% 10.90/11.20 ( X0 = X1
% 10.90/11.20 | X2 = c_Groups_Ozero__class_Ozero(X3)
% 10.90/11.20 | 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))
% 10.90/11.20 | X4 != X5
% 10.90/11.20 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3210]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15329,plain,
% 10.90/11.20 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.20 | 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))
% 10.90/11.20 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.20 | X3 = X5
% 10.90/11.20 | X1 != X4 ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15328]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3189,plain,
% 10.90/11.20 ( 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)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5761_2) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15286,plain,
% 10.90/11.20 ( 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)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3189]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15287,plain,
% 10.90/11.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.20 | 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) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15286]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3179,plain,
% 10.90/11.20 ( hBOOL(hAPP(X0,X1))
% 10.90/11.20 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
% 10.90/11.20 | X2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5765_2) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15266,plain,
% 10.90/11.20 ( hBOOL(hAPP(X0,X1))
% 10.90/11.20 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
% 10.90/11.20 | X2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3179]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15267,plain,
% 10.90/11.20 ( ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.20 | hBOOL(hAPP(X0,X3))
% 10.90/11.20 | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15266]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3176,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5766_2) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15260,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3176]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15261,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15260]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3135,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.20 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | X1 = X3
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5780_2) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15178,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.20 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | X1 = X3
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3135]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15179,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)
% 10.90/11.20 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3)
% 10.90/11.20 | X1 = X2 ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15178]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3132,plain,
% 10.90/11.20 ( X0 = X1
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X0)
% 10.90/11.20 | hAPP(hAPP(c_Power_Opower__class_Opower(X3),X0),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X2)
% 10.90/11.20 | ~ class_Rings_Olinordered__semidom(X3) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5780_5) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15172,plain,
% 10.90/11.20 ( X0 = X1
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X0)
% 10.90/11.20 | hAPP(hAPP(c_Power_Opower__class_Opower(X3),X0),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X2)
% 10.90/11.20 | ~ class_Rings_Olinordered__semidom(X3) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3132]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15173,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)
% 10.90/11.20 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 10.90/11.20 | X2 = X1 ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15172]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3127,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5784_4) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15162,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3127]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15163,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15162]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3122,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5785_4) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15152,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3122]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15153,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15152]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3112,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.20 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5788_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15132,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.20 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3112]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15133,plain,
% 10.90/11.20 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.20 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 10.90/11.20 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)) != X2 ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15132]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3108,plain,
% 10.90/11.20 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.20 | ~ 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)))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 10.90/11.20 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5789_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15124,plain,
% 10.90/11.20 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.20 | ~ 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)))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 10.90/11.20 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3108]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15125,plain,
% 10.90/11.20 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.20 | ~ 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)))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 10.90/11.20 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15124]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3104,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5790_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15116,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3104]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15117,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15116]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3100,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5791_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15108,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3100]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15109,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15108]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3088,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__comm__semiring__strict(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5794_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15084,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__comm__semiring__strict(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3088]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15085,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__comm__semiring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15084]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3084,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5795_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15076,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3084]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15077,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15076]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3080,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5796_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15068,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3080]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15069,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15068]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3068,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5799_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15044,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3068]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15045,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15044]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3060,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5801_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15028,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3060]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_15029,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_15028]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3044,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.20 | ~ class_Rings_Oordered__comm__semiring(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5805_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14996,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.20 | ~ class_Rings_Oordered__comm__semiring(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3044]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14997,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__comm__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_14996]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3040,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.20 | ~ class_Rings_Oordered__semiring(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5806_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14988,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.20 | ~ class_Rings_Oordered__semiring(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3040]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14989,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_14988]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3036,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Oordered__semiring(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5807_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14980,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Oordered__semiring(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3036]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14981,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__semiring(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_14980]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3032,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5808_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14972,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.20 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3032]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14973,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_14972]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3028,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5809_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14964,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3028]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14965,plain,
% 10.90/11.20 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_14964]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3013,plain,
% 10.90/11.20 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 10.90/11.20 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk49_3(X2,X1,X0)) = X1 ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5813_2) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14934,plain,
% 10.90/11.20 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 10.90/11.20 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk49_3(X2,X1,X0)) = X1 ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3013]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14935,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.20 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 10.90/11.20 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),sk1_esk49_3(X1,X0,X2)) = X0 ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_14934]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3010,plain,
% 10.90/11.20 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 10.90/11.20 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk48_3(X2,X1,X0)) = X1 ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5814_2) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14928,plain,
% 10.90/11.20 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 10.90/11.20 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk48_3(X2,X1,X0)) = X1 ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3010]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14929,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.20 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 10.90/11.20 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),sk1_esk48_3(X1,X0,X2)) = X0 ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_14928]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3007,plain,
% 10.90/11.20 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5815_2) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14922,plain,
% 10.90/11.20 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3007]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14923,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | 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)) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_14922]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3006,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5815_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14920,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3006]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14921,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.20 | 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)) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_14920]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_3002,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5816_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14912,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_3002]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14913,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | 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)) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_14912]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_2998,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5817_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14904,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_2998]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14905,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | 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)) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_14904]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_2995,plain,
% 10.90/11.20 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5818_2) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14898,plain,
% 10.90/11.20 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | 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))
% 10.90/11.20 | ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_2995]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14899,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | 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)) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_14898]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_2994,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5818_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14896,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_2994]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14897,plain,
% 10.90/11.20 ( ~ class_Rings_Oordered__ring__abs(X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.20 | 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)) ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_14896]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_2990,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
% 10.90/11.20 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5819_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14888,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
% 10.90/11.20 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 10.90/11.20 inference(copy,[status(esa)],[c_2990]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14889,plain,
% 10.90/11.20 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 10.90/11.20 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0)) != X1 ),
% 10.90/11.20 inference(rewriting,[status(thm)],[c_14888]) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_2980,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.20 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 10.90/11.20 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5822_3) ).
% 10.90/11.20
% 10.90/11.20 cnf(c_14868,plain,
% 10.90/11.20 ( 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))
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 10.90/11.20 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.21 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2980]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14869,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14868]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2978,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5823_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14864,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2978]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14865,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14864]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2974,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5824_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14856,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2974]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14857,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14856]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2966,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5826_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14840,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2966]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14841,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14840]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2964,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5827_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14836,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2964]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14837,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X0) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14836]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2960,plain,
% 10.90/11.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.21 | ~ 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)))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5828_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14828,plain,
% 10.90/11.21 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.21 | ~ 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)))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2960]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14829,plain,
% 10.90/11.21 ( ~ 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)))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 10.90/11.21 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14828]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2919,plain,
% 10.90/11.21 ( ~ c_SEQ_Omonoseq(X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,X5)
% 10.90/11.21 | ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X5),hAPP(X1,X4)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5847_0) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14746,plain,
% 10.90/11.21 ( ~ c_SEQ_Omonoseq(X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,X5)
% 10.90/11.21 | ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X5),hAPP(X1,X4)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2919]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14747,plain,
% 10.90/11.21 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X1),hAPP(X5,X2))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X4),hAPP(X5,X3))
% 10.90/11.21 | ~ c_SEQ_Omonoseq(X0,X5) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14746]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2916,plain,
% 10.90/11.21 ( ~ c_SEQ_Omonoseq(X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X4),hAPP(X1,X5))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 10.90/11.21 | ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5,X4) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5847_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14740,plain,
% 10.90/11.21 ( ~ c_SEQ_Omonoseq(X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X4),hAPP(X1,X5))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 10.90/11.21 | ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5,X4) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2916]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14741,plain,
% 10.90/11.21 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X4),hAPP(X5,X3))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X1),hAPP(X5,X2))
% 10.90/11.21 | ~ c_SEQ_Omonoseq(X0,X5) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14740]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2914,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X4),hAPP(X1,X5))
% 10.90/11.21 | ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,X5)
% 10.90/11.21 | ~ c_SEQ_Omonoseq(X0,X1) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5847_5) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14736,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X4),hAPP(X1,X5))
% 10.90/11.21 | ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,X5)
% 10.90/11.21 | ~ c_SEQ_Omonoseq(X0,X1) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2914]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14737,plain,
% 10.90/11.21 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X2),hAPP(X5,X1))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X3),hAPP(X5,X4))
% 10.90/11.21 | ~ c_SEQ_Omonoseq(X0,X5) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14736]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2897,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5854_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14702,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2897]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14703,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14702]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2882,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5859_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14672,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2882]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14673,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14672]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2879,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5860_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14666,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2879]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14667,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14666]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2876,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5861_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14660,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2876]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14661,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14660]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2869,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5864_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14646,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2869]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14647,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14646]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2865,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X3)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5865_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14638,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X3)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2865]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14639,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14638]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2863,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5866_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14634,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2863]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14635,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14634]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2860,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5867_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14628,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2860]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14629,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14628]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2840,plain,
% 10.90/11.21 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.21 | 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)
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X1)
% 10.90/11.21 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5875_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14588,plain,
% 10.90/11.21 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.21 | 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)
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X1)
% 10.90/11.21 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2840]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14589,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | 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)
% 10.90/11.21 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.21 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14588]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2839,plain,
% 10.90/11.21 ( 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)
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.21 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5875_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14586,plain,
% 10.90/11.21 ( 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)
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.21 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2839]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14587,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | 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)
% 10.90/11.21 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.21 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14586]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2835,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5876_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14578,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2835]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14579,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14578]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2834,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5877_0) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14576,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2834]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14577,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14576]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2831,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5877_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14570,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2831]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14571,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14570]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2830,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5878_0) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14568,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2830]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14569,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14568]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2827,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5878_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14562,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2827]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14563,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14562]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2823,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5879_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14554,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2823]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14555,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14554]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2819,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5880_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14546,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2819]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14547,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14546]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2815,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5881_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14538,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2815]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14539,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14538]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2811,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5882_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14530,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2811]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14531,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14530]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2807,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5883_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14522,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2807]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14523,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14522]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2805,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.21 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Nat_OSuc(X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | X1 = X3
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5884_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14518,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.21 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Nat_OSuc(X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | X1 = X3
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2805]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14519,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(X3))
% 10.90/11.21 | X1 = X2 ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14518]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2802,plain,
% 10.90/11.21 ( X0 = X1
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0)
% 10.90/11.21 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),c_Nat_OSuc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Nat_OSuc(X3))
% 10.90/11.21 | ~ class_Rings_Olinordered__semidom(X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5884_4) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14512,plain,
% 10.90/11.21 ( X0 = X1
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0)
% 10.90/11.21 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),c_Nat_OSuc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Nat_OSuc(X3))
% 10.90/11.21 | ~ class_Rings_Olinordered__semidom(X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2802]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14513,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X3))
% 10.90/11.21 | X2 = X1 ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14512]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2782,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(c_RealVector_Oof__real(X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)),sk1_esk42_1(X0)))
% 10.90/11.21 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.21 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5897_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14472,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(c_RealVector_Oof__real(X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)),sk1_esk42_1(X0)))
% 10.90/11.21 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.21 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2782]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14473,plain,
% 10.90/11.21 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.21 | ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(c_RealVector_Oof__real(X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)),sk1_esk42_1(X0))) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14472]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2779,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(c_RealVector_Oof__real(X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)),sk1_esk36_1(X0)))
% 10.90/11.21 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.21 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5898_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14466,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(c_RealVector_Oof__real(X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)),sk1_esk36_1(X0)))
% 10.90/11.21 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.21 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2779]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14467,plain,
% 10.90/11.21 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.21 | ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(c_RealVector_Oof__real(X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)),sk1_esk36_1(X0))) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14466]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2776,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(c_RealVector_Oof__real(X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)),sk1_esk33_1(X0)))
% 10.90/11.21 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.21 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5899_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14460,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(c_RealVector_Oof__real(X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)),sk1_esk33_1(X0)))
% 10.90/11.21 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.21 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2776]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14461,plain,
% 10.90/11.21 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.21 | ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(c_RealVector_Oof__real(X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)),sk1_esk33_1(X0))) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14460]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2774,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5906_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14456,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2774]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14457,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14456]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2770,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5907_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14448,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2770]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14449,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14448]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2754,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5911_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14416,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2754]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14417,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14416]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2741,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5914_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14390,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2741]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14391,plain,
% 10.90/11.21 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14390]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2740,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5914_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14388,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ class_Rings_Oordered__ring(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2740]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14389,plain,
% 10.90/11.21 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14388]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2734,plain,
% 10.90/11.21 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5916_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14376,plain,
% 10.90/11.21 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2734]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14377,plain,
% 10.90/11.21 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14376]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2718,plain,
% 10.90/11.21 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5920_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14344,plain,
% 10.90/11.21 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2718]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14345,plain,
% 10.90/11.21 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14344]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2712,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5921_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14332,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2712]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14333,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14332]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2708,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5922_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14324,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2708]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14325,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14324]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2705,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5923_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14318,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2705]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14319,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14318]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2704,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5923_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14316,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2704]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14317,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14316]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2701,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5924_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14310,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2701]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14311,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14310]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2700,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5924_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14308,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2700]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14309,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14308]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2692,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5926_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14292,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2692]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14293,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14292]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2684,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5928_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14276,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2684]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14277,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14276]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2682,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5929_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14272,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2682]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14273,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14272]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2678,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5930_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14264,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2678]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14265,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14264]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2674,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5931_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14256,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2674]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14257,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14256]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2670,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5932_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14248,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2670]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14249,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14248]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2666,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5933_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14240,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2666]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14241,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14240]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2663,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5934_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14234,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2663]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14235,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14234]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2658,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | X0 = sk1_esk55_2(X1,X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1 ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5935_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14224,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | X0 = sk1_esk55_2(X1,X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1 ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2658]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14225,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.21 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1
% 10.90/11.21 | X0 = sk1_esk55_2(X1,X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14224]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2657,plain,
% 10.90/11.21 ( X0 = sk1_esk55_2(X1,X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5935_4) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14222,plain,
% 10.90/11.21 ( X0 = sk1_esk55_2(X1,X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2657]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14223,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.21 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2) != X0
% 10.90/11.21 | X1 = sk1_esk55_2(X0,X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14222]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2653,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.21 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5937_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14214,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.21 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2653]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14215,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14214]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2644,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5940_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14196,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2644]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14197,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14196]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2641,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5941_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14190,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2641]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14191,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14190]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2638,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5942_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14184,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2638]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14185,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14184]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2635,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5943_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14178,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2635]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14179,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14178]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2624,plain,
% 10.90/11.21 ( c_SEQ_Oincseq(X0,X1)
% 10.90/11.21 | ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk14_2(X1,X0)),hAPP(X1,sk1_esk15_2(X1,X0))) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5947_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14156,plain,
% 10.90/11.21 ( c_SEQ_Oincseq(X0,X1)
% 10.90/11.21 | ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk14_2(X1,X0)),hAPP(X1,sk1_esk15_2(X1,X0))) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2624]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14157,plain,
% 10.90/11.21 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk14_2(X1,X0)),hAPP(X1,sk1_esk15_2(X1,X0)))
% 10.90/11.21 | c_SEQ_Oincseq(X0,X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14156]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2621,plain,
% 10.90/11.21 ( c_SEQ_Odecseq(X0,X1)
% 10.90/11.21 | ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk13_2(X1,X0)),hAPP(X1,sk1_esk12_2(X1,X0))) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5948_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14150,plain,
% 10.90/11.21 ( c_SEQ_Odecseq(X0,X1)
% 10.90/11.21 | ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk13_2(X1,X0)),hAPP(X1,sk1_esk12_2(X1,X0))) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2621]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14151,plain,
% 10.90/11.21 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk13_2(X1,X0)),hAPP(X1,sk1_esk12_2(X1,X0)))
% 10.90/11.21 | c_SEQ_Odecseq(X0,X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14150]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2618,plain,
% 10.90/11.21 ( c_SEQ_Omonoseq(X0,X1)
% 10.90/11.21 | ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk5_2(X1,X0)),hAPP(X1,sk1_esk6_2(X1,X0))) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5949_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14144,plain,
% 10.90/11.21 ( c_SEQ_Omonoseq(X0,X1)
% 10.90/11.21 | ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk5_2(X1,X0)),hAPP(X1,sk1_esk6_2(X1,X0))) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2618]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14145,plain,
% 10.90/11.21 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk5_2(X1,X0)),hAPP(X1,sk1_esk6_2(X1,X0)))
% 10.90/11.21 | c_SEQ_Omonoseq(X0,X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14144]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2615,plain,
% 10.90/11.21 ( c_SEQ_Omonoseq(X0,X1)
% 10.90/11.21 | ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk8_2(X1,X0)),hAPP(X1,sk1_esk7_2(X1,X0))) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5950_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14138,plain,
% 10.90/11.21 ( c_SEQ_Omonoseq(X0,X1)
% 10.90/11.21 | ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk8_2(X1,X0)),hAPP(X1,sk1_esk7_2(X1,X0))) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2615]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14139,plain,
% 10.90/11.21 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk8_2(X1,X0)),hAPP(X1,sk1_esk7_2(X1,X0)))
% 10.90/11.21 | c_SEQ_Omonoseq(X0,X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14138]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2612,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5951_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14132,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2612]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14133,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14132]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2609,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5952_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14126,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2609]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14127,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14126]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2595,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5957_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14098,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.21 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2595]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14099,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14098]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2568,plain,
% 10.90/11.21 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.21 | X0 = X2
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5966_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14044,plain,
% 10.90/11.21 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.21 | X0 = X2
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2568]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14045,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.21 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)
% 10.90/11.21 | X2 = X1 ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14044]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2566,plain,
% 10.90/11.21 ( X0 = X1
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.21 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5966_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14040,plain,
% 10.90/11.21 ( X0 = X1
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.21 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2566]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14041,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.21 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)
% 10.90/11.21 | X1 = X2 ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14040]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2563,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5967_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14034,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2563]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14035,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | 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)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14034]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2560,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5968_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14028,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2560]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14029,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14028]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2558,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5969_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14024,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2558]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14025,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14024]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2554,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5970_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14016,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2554]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14017,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1),c_Transcendental_Oln(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14016]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2552,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5970_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14012,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2552]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14013,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14012]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2546,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk66_3(X1,X0,X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5975_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14000,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk66_3(X1,X0,X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2546]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_14001,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk66_3(X0,X1,X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_14000]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2543,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk53_3(X1,X0,X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5976_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13994,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk53_3(X1,X0,X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2543]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13995,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk53_3(X0,X1,X2))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13994]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2540,plain,
% 10.90/11.21 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.21 | 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)
% 10.90/11.21 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5977_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13988,plain,
% 10.90/11.21 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.21 | 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)
% 10.90/11.21 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2540]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13989,plain,
% 10.90/11.21 ( 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)
% 10.90/11.21 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.21 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13988]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2537,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5979_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13982,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2537]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13983,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13982]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2535,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5979_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13978,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2535]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13979,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13978]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2533,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5980_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13974,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2533]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13975,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1),c_Transcendental_Oln(X0))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13974]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2531,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5980_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13970,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2531]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13971,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13970]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2528,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.21 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5982_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13964,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.21 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2528]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13965,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13964]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2525,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.21 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5983_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13958,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.21 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2525]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13959,plain,
% 10.90/11.21 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13958]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2522,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5984_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13952,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2522]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13953,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13952]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2519,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5985_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13946,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2519]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13947,plain,
% 10.90/11.21 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13946]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2516,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5986_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13940,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2516]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13941,plain,
% 10.90/11.21 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1))
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13940]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2513,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5987_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13934,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.21 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2513]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13935,plain,
% 10.90/11.21 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13934]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2510,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5988_2) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13928,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2510]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13929,plain,
% 10.90/11.21 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.21 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13928]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2508,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5990_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13924,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2508]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13925,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13924]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2505,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5991_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13918,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2505]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13919,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13918]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2502,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5992_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13912,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2502]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13913,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13912]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2499,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5993_1) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13906,plain,
% 10.90/11.21 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2499]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13907,plain,
% 10.90/11.21 ( 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))
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13906]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2487,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 10.90/11.21 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5998_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13882,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 10.90/11.21 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 10.90/11.21 inference(copy,[status(esa)],[c_2487]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13883,plain,
% 10.90/11.21 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.21 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 10.90/11.21 inference(rewriting,[status(thm)],[c_13882]) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_2479,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 10.90/11.21 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 10.90/11.21 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6000_3) ).
% 10.90/11.21
% 10.90/11.21 cnf(c_13866,plain,
% 10.90/11.21 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 10.90/11.21 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.21 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2479]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13867,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13866]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2476,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6001_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13860,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2476]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13861,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13860]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2475,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6001_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13858,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2475]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13859,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13858]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2472,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6002_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13852,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2472]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13853,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13852]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2471,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6002_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13850,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2471]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13851,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13850]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2468,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6003_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13844,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2468]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13845,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13844]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2467,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6003_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13842,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2467]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13843,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13842]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2464,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6004_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13836,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2464]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13837,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13836]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2463,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6004_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13834,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2463]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13835,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13834]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2402,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 10.90/11.22 | ~ class_Orderings_Oord(X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6044_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13712,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 10.90/11.22 | ~ class_Orderings_Oord(X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2402]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13713,plain,
% 10.90/11.22 ( ~ class_Orderings_Oord(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13712]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2401,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 10.90/11.22 | ~ class_Orderings_Oord(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6044_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13710,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 10.90/11.22 | ~ class_Orderings_Oord(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2401]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13711,plain,
% 10.90/11.22 ( ~ class_Orderings_Oord(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X3,X2) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13710]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2398,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1),X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6045_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13704,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1),X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2398]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13705,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0),X1)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13704]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2395,plain,
% 10.90/11.22 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.22 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6046_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13698,plain,
% 10.90/11.22 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.22 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2395]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13699,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13698]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2393,plain,
% 10.90/11.22 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.22 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6046_4) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13694,plain,
% 10.90/11.22 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.22 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2393]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13695,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13694]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2390,plain,
% 10.90/11.22 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.22 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6047_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13688,plain,
% 10.90/11.22 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.22 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2390]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13689,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13688]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2388,plain,
% 10.90/11.22 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.22 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6047_4) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13684,plain,
% 10.90/11.22 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.22 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2388]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13685,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13684]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2381,plain,
% 10.90/11.22 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 10.90/11.22 | X0 = X2
% 10.90/11.22 | ~ class_Rings_Oidom(X1)
% 10.90/11.22 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6049_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13670,plain,
% 10.90/11.22 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 10.90/11.22 | X0 = X2
% 10.90/11.22 | ~ class_Rings_Oidom(X1)
% 10.90/11.22 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2381]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13671,plain,
% 10.90/11.22 ( ~ class_Rings_Oidom(X0)
% 10.90/11.22 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 10.90/11.22 | X1 = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 10.90/11.22 | X1 = X2 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13670]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2345,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6068_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13598,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2345]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13599,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13598]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2320,plain,
% 10.90/11.22 ( X0 != X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6080_1) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13548,plain,
% 10.90/11.22 ( X0 != X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2320]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13549,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)
% 10.90/11.22 | X2 != X1 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13548]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2318,plain,
% 10.90/11.22 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.22 | X0 != X2 ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6080_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13544,plain,
% 10.90/11.22 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.22 | X0 != X2 ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2318]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13545,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)
% 10.90/11.22 | X1 != X2 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13544]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2305,plain,
% 10.90/11.22 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.22 | X2 != c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.22 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6087_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13518,plain,
% 10.90/11.22 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.22 | X2 != c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.22 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2305]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13519,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13518]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2303,plain,
% 10.90/11.22 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.22 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 10.90/11.22 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6087_4) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13514,plain,
% 10.90/11.22 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.22 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 10.90/11.22 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2303]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13515,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13514]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2302,plain,
% 10.90/11.22 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.22 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6087_5) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13512,plain,
% 10.90/11.22 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.22 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2302]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13513,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.22 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13512]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2298,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ class_Rings_Olinordered__semidom(X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 10.90/11.22 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6088_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13504,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ class_Rings_Olinordered__semidom(X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 10.90/11.22 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2298]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13505,plain,
% 10.90/11.22 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.22 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 10.90/11.22 | X2 = X3 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13504]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2292,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6090_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13492,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2292]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13493,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13492]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2289,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | ~ class_Lattices_Oboolean__algebra(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6091_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13486,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | ~ class_Lattices_Oboolean__algebra(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2289]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13487,plain,
% 10.90/11.22 ( ~ class_Lattices_Oboolean__algebra(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13486]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2286,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6092_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13480,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2286]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13481,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13480]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2280,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_RComplete_Onatfloor(X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6094_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13468,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_RComplete_Onatfloor(X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2280]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13469,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_RComplete_Onatfloor(X0)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13468]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2263,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6099_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13434,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2263]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13435,plain,
% 10.90/11.22 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13434]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2260,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6100_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13428,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2260]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13429,plain,
% 10.90/11.22 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13428]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2257,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1))
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6101_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13422,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1))
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2257]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13423,plain,
% 10.90/11.22 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13422]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2248,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1))
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6104_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13404,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1))
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2248]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13405,plain,
% 10.90/11.22 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13404]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2245,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6105_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13398,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2245]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13399,plain,
% 10.90/11.22 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13398]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2236,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6109_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13380,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2236]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13381,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13380]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2233,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6110_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13374,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2233]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13375,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13374]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2230,plain,
% 10.90/11.22 ( ~ class_Orderings_Oord(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6111_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13368,plain,
% 10.90/11.22 ( ~ class_Orderings_Oord(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2230]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13369,plain,
% 10.90/11.22 ( ~ class_Orderings_Oord(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X3,X2) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13368]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2227,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk56_2(X0,X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6112_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13362,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk56_2(X0,X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2227]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13363,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk56_2(X0,X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13362]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2224,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk55_2(X0,X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6113_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13356,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk55_2(X0,X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2224]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13357,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk55_2(X0,X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13356]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2222,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X0,X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6114_1) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13352,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X0,X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2222]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13353,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X0,X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13352]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2216,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6116_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13340,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2216]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13341,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13340]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2213,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_RComplete_Onatfloor(X1)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6117_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13334,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_RComplete_Onatfloor(X1)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2213]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13335,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_RComplete_Onatfloor(X0)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13334]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2203,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk1_esk29_2(X1,X2))
% 10.90/11.22 | ~ hBOOL(hAPP(X2,X0))
% 10.90/11.22 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.22 | ~ hBOOL(hAPP(X2,X1)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6123_1) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13314,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk1_esk29_2(X1,X2))
% 10.90/11.22 | ~ hBOOL(hAPP(X2,X0))
% 10.90/11.22 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.22 | ~ hBOOL(hAPP(X2,X1)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2203]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13315,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk1_esk29_2(X1,X2))
% 10.90/11.22 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.22 | ~ hBOOL(hAPP(X2,X0))
% 10.90/11.22 | ~ hBOOL(hAPP(X2,X1)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13314]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2172,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),X1)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6138_1) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13252,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),X1)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2172]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13253,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13252]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2171,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6138_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13250,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2171]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13251,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13250]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2166,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6140_1) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13240,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2166]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13241,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13240]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2165,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6140_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13238,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2165]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13239,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X2,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13238]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2160,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6142_1) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13228,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2160]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13229,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13228]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2159,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6142_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13226,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2159]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13227,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13226]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2154,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),X1)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6144_1) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13216,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),X1)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2154]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13217,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13216]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2153,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6144_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13214,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2153]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13215,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13214]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2131,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6153_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13170,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2131]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13171,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 10.90/11.22 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13170]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2091,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6172_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13090,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2091]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13091,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 10.90/11.22 | X1 = X2 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13090]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2069,plain,
% 10.90/11.22 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6181_1) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13046,plain,
% 10.90/11.22 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2069]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13047,plain,
% 10.90/11.22 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13046]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2067,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.22 | ~ class_Orderings_Oorder(X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6181_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13042,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.22 | ~ class_Orderings_Oorder(X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2067]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13043,plain,
% 10.90/11.22 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13042]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2065,plain,
% 10.90/11.22 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6182_1) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13038,plain,
% 10.90/11.22 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2065]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13039,plain,
% 10.90/11.22 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13038]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2063,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.22 | ~ class_Orderings_Opreorder(X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6182_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13034,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.22 | ~ class_Orderings_Opreorder(X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2063]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_13035,plain,
% 10.90/11.22 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_13034]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2026,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6197_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12960,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2026]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12961,plain,
% 10.90/11.22 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12960]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_2005,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6208_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12918,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_2005]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12919,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12918]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1990,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6213_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12888,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1990]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12889,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12888]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1987,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6214_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12882,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1987]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12883,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12882]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1984,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6215_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12876,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1984]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12877,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12876]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1981,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6216_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12870,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1981]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12871,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12870]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1955,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 10.90/11.22 | ~ class_Orderings_Oorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 10.90/11.22 | ~ c_SEQ_Oincseq(X0,X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6226_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12818,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 10.90/11.22 | ~ class_Orderings_Oorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 10.90/11.22 | ~ c_SEQ_Oincseq(X0,X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1955]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12819,plain,
% 10.90/11.22 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X3,X1),hAPP(X3,X2))
% 10.90/11.22 | ~ c_SEQ_Oincseq(X0,X3) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12818]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1951,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 10.90/11.22 | ~ class_Orderings_Oorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 10.90/11.22 | ~ c_SEQ_Odecseq(X0,X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6227_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12810,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X1,X3))
% 10.90/11.22 | ~ class_Orderings_Oorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 10.90/11.22 | ~ c_SEQ_Odecseq(X0,X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1951]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12811,plain,
% 10.90/11.22 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X3,X2),hAPP(X3,X1))
% 10.90/11.22 | ~ c_SEQ_Odecseq(X0,X3) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12810]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1936,plain,
% 10.90/11.22 ( X0 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != X1 ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6240_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12780,plain,
% 10.90/11.22 ( X0 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != X1 ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1936]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12781,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != X2
% 10.90/11.22 | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12780]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1933,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 10.90/11.22 | ~ class_Orderings_Oord(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6243_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12774,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 10.90/11.22 | ~ class_Orderings_Oord(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1933]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12775,plain,
% 10.90/11.22 ( ~ class_Orderings_Oord(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12774]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1930,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6244_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12768,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1930]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12769,plain,
% 10.90/11.22 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12768]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1927,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6245_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12762,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1927]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12763,plain,
% 10.90/11.22 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12762]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1924,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6246_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12756,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1924]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12757,plain,
% 10.90/11.22 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12756]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1921,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6247_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12750,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1921]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12751,plain,
% 10.90/11.22 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12750]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1916,plain,
% 10.90/11.22 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = X2
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.22 | X0 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6249_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12740,plain,
% 10.90/11.22 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = X2
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.22 | X0 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1916]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12741,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) = X2
% 10.90/11.22 | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12740]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1912,plain,
% 10.90/11.22 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 10.90/11.22 | ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.22 | X2 != X3 ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6250_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12732,plain,
% 10.90/11.22 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 10.90/11.22 | ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.22 | X2 != X3 ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1912]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12733,plain,
% 10.90/11.22 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.22 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 10.90/11.22 | X2 != X3 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12732]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1897,plain,
% 10.90/11.22 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 10.90/11.22 | ~ class_Rings_Oidom(X0)
% 10.90/11.22 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6257_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12702,plain,
% 10.90/11.22 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 10.90/11.22 | ~ class_Rings_Oidom(X0)
% 10.90/11.22 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1897]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12703,plain,
% 10.90/11.22 ( ~ class_Rings_Oidom(X0)
% 10.90/11.22 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 10.90/11.22 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12702]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1895,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6258_1) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12698,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1895]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12699,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1),X0) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12698]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1892,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Osgn__class_Osgn(X0,X1)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6259_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12692,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Osgn__class_Osgn(X0,X1)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1892]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12693,plain,
% 10.90/11.22 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Osgn__class_Osgn(X0,X1))
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12692]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1889,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6260_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12686,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1889]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12687,plain,
% 10.90/11.22 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12686]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1884,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 10.90/11.22 | ~ class_Orderings_Opreorder(X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6263_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12676,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 10.90/11.22 | ~ class_Orderings_Opreorder(X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1884]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12677,plain,
% 10.90/11.22 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12676]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1883,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 10.90/11.22 | ~ class_Orderings_Opreorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6263_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12674,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 10.90/11.22 | ~ class_Orderings_Opreorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1883]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12675,plain,
% 10.90/11.22 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12674]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1880,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6264_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12668,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1880]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12669,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12668]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1877,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6265_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12662,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1877]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12663,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12662]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1874,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6266_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12656,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1874]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12657,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12656]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1871,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6267_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12650,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1871]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12651,plain,
% 10.90/11.22 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12650]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1865,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X1)
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6270_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12638,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X1)
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1865]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12639,plain,
% 10.90/11.22 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12638]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1862,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6271_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12632,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1862]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12633,plain,
% 10.90/11.22 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12632]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1859,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6272_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12626,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1859]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12627,plain,
% 10.90/11.22 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12626]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1856,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X1)
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6273_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12620,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X1)
% 10.90/11.22 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1856]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12621,plain,
% 10.90/11.22 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12620]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1852,plain,
% 10.90/11.22 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 10.90/11.22 | X0 = X2
% 10.90/11.22 | ~ class_Rings_Oidom(X1)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6274_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12612,plain,
% 10.90/11.22 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 10.90/11.22 | X0 = X2
% 10.90/11.22 | ~ class_Rings_Oidom(X1)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1852]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12613,plain,
% 10.90/11.22 ( ~ class_Rings_Oidom(X0)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 10.90/11.22 | X1 = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 10.90/11.22 | X1 = X2 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12612]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1850,plain,
% 10.90/11.22 ( c_Transcendental_Oln(X0) != c_Transcendental_Oln(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | X0 = X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6278_1) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12608,plain,
% 10.90/11.22 ( c_Transcendental_Oln(X0) != c_Transcendental_Oln(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | X0 = X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1850]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12609,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | c_Transcendental_Oln(X1) != c_Transcendental_Oln(X0)
% 10.90/11.22 | X1 = X0 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12608]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1848,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | c_Transcendental_Oln(X0) != c_Transcendental_Oln(X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6278_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12604,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | c_Transcendental_Oln(X0) != c_Transcendental_Oln(X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1848]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12605,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | c_Transcendental_Oln(X0) != c_Transcendental_Oln(X1)
% 10.90/11.22 | X0 = X1 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12604]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1845,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 10.90/11.22 | X1 = X0
% 10.90/11.22 | hBOOL(hAPP(hAPP(X2,X0),X1)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6279_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12598,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 10.90/11.22 | X1 = X0
% 10.90/11.22 | hBOOL(hAPP(hAPP(X2,X0),X1)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1845]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12599,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 10.90/11.22 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 10.90/11.22 | X1 = X0 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12598]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1844,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.22 | X0 = X1
% 10.90/11.22 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 10.90/11.22 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6279_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12596,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.22 | X0 = X1
% 10.90/11.22 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 10.90/11.22 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1844]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12597,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 10.90/11.22 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 10.90/11.22 | X0 = X1 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12596]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1841,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Osgn__class_Osgn(X0,X1))
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6280_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12590,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Osgn__class_Osgn(X0,X1))
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1841]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12591,plain,
% 10.90/11.22 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Osgn__class_Osgn(X0,X1))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12590]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1838,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6281_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12584,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1838]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12585,plain,
% 10.90/11.22 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,c_Groups_Osgn__class_Osgn(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12584]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1834,plain,
% 10.90/11.22 ( X0 != X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | c_Transcendental_Oln(X0) = c_Transcendental_Oln(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6283_1) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12576,plain,
% 10.90/11.22 ( X0 != X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | c_Transcendental_Oln(X0) = c_Transcendental_Oln(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1834]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12577,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | c_Transcendental_Oln(X1) = c_Transcendental_Oln(X0)
% 10.90/11.22 | X1 != X0 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12576]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1832,plain,
% 10.90/11.22 ( c_Transcendental_Oln(X0) = c_Transcendental_Oln(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | X0 != X1 ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6283_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12572,plain,
% 10.90/11.22 ( c_Transcendental_Oln(X0) = c_Transcendental_Oln(X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | X0 != X1 ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1832]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12573,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.22 | c_Transcendental_Oln(X0) = c_Transcendental_Oln(X1)
% 10.90/11.22 | X0 != X1 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12572]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1829,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6284_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12566,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1829]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12567,plain,
% 10.90/11.22 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12566]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1818,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk28_2(X1,X0))
% 10.90/11.22 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.22 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6289_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12544,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk28_2(X1,X0))
% 10.90/11.22 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.22 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1818]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12545,plain,
% 10.90/11.22 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk28_2(X1,X0))
% 10.90/11.22 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12544]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1815,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk17_2(X1,X0))
% 10.90/11.22 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.22 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6290_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12538,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk17_2(X1,X0))
% 10.90/11.22 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.22 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1815]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12539,plain,
% 10.90/11.22 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),sk1_esk17_2(X1,X0))
% 10.90/11.22 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12538]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1807,plain,
% 10.90/11.22 ( X0 != X1
% 10.90/11.22 | X2 = X3
% 10.90/11.22 | ~ class_Groups_Oab__group__add(X4)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X4,X0,X1) != c_Groups_Ominus__class_Ominus(X4,X2,X3) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6294_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12522,plain,
% 10.90/11.22 ( X0 != X1
% 10.90/11.22 | X2 = X3
% 10.90/11.22 | ~ class_Groups_Oab__group__add(X4)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X4,X0,X1) != c_Groups_Ominus__class_Ominus(X4,X2,X3) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1807]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12523,plain,
% 10.90/11.22 ( ~ class_Groups_Oab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 10.90/11.22 | X1 != X2
% 10.90/11.22 | X3 = X4 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12522]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1806,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ class_Groups_Oab__group__add(X2)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X2,X3,X4) != c_Groups_Ominus__class_Ominus(X2,X0,X1)
% 10.90/11.22 | X3 != X4 ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6294_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12520,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ class_Groups_Oab__group__add(X2)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X2,X3,X4) != c_Groups_Ominus__class_Ominus(X2,X0,X1)
% 10.90/11.22 | X3 != X4 ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1806]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12521,plain,
% 10.90/11.22 ( ~ class_Groups_Oab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 10.90/11.22 | X3 = X4
% 10.90/11.22 | X1 != X2 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12520]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1803,plain,
% 10.90/11.22 ( X0 != X1
% 10.90/11.22 | X2 = X3
% 10.90/11.22 | ~ class_Groups_Oab__group__add(X4)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X4,X2,X3) != c_Groups_Ominus__class_Ominus(X4,X0,X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6295_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12514,plain,
% 10.90/11.22 ( X0 != X1
% 10.90/11.22 | X2 = X3
% 10.90/11.22 | ~ class_Groups_Oab__group__add(X4)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X4,X2,X3) != c_Groups_Ominus__class_Ominus(X4,X0,X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1803]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12515,plain,
% 10.90/11.22 ( ~ class_Groups_Oab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 10.90/11.22 | X3 != X4
% 10.90/11.22 | X1 = X2 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12514]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1802,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ class_Groups_Oab__group__add(X2)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ominus__class_Ominus(X2,X3,X4)
% 10.90/11.22 | X3 != X4 ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6295_3) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12512,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ class_Groups_Oab__group__add(X2)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ominus__class_Ominus(X2,X3,X4)
% 10.90/11.22 | X3 != X4 ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1802]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12513,plain,
% 10.90/11.22 ( ~ class_Groups_Oab__group__add(X0)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 10.90/11.22 | X1 = X2
% 10.90/11.22 | X3 != X4 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12512]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1758,plain,
% 10.90/11.22 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6310_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12424,plain,
% 10.90/11.22 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1758]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12425,plain,
% 10.90/11.22 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12424]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1727,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6321_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12362,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1727]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12363,plain,
% 10.90/11.22 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.22 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.22 | X1 = X0 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12362]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1720,plain,
% 10.90/11.22 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk72_2(X1,X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6324_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12348,plain,
% 10.90/11.22 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.22 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk72_2(X1,X0),X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1720]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12349,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk72_2(X0,X1),X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0))
% 10.90/11.22 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12348]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1715,plain,
% 10.90/11.22 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 10.90/11.22 | ~ class_Rings_Oidom(X0)
% 10.90/11.22 | X1 != X2 ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6326_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12338,plain,
% 10.90/11.22 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 10.90/11.22 | ~ class_Rings_Oidom(X0)
% 10.90/11.22 | X1 != X2 ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1715]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12339,plain,
% 10.90/11.22 ( ~ class_Rings_Oidom(X0)
% 10.90/11.22 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 10.90/11.22 | X1 != X2 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12338]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1698,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6332_1) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12304,plain,
% 10.90/11.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1698]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12305,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),X1)
% 10.90/11.22 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12304]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1693,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6334_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12294,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1693]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12295,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 10.90/11.22 | X1 = X0 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12294]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1690,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6335_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12288,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1690]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12289,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.22 | X1 = X0 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12288]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1687,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6336_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12282,plain,
% 10.90/11.22 ( X0 = X1
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1687]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12283,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
% 10.90/11.22 | X1 = X0 ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12282]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1684,plain,
% 10.90/11.22 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 10.90/11.22 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6337_2) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12276,plain,
% 10.90/11.22 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 10.90/11.22 inference(copy,[status(esa)],[c_1684]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_12277,plain,
% 10.90/11.22 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.22 | X0 = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 10.90/11.22 inference(rewriting,[status(thm)],[c_12276]) ).
% 10.90/11.22
% 10.90/11.22 cnf(c_1681,plain,
% 10.90/11.22 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.22 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.22 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6338_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12270,plain,
% 10.90/11.23 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1681]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12271,plain,
% 10.90/11.23 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.23 | X1 = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12270]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1674,plain,
% 10.90/11.23 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk29_2(X1,X0),X1)
% 10.90/11.23 | ~ hBOOL(hAPP(X0,X1)) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6341_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12256,plain,
% 10.90/11.23 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk29_2(X1,X0),X1)
% 10.90/11.23 | ~ hBOOL(hAPP(X0,X1)) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1674]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12257,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk29_2(X0,X1),X0)
% 10.90/11.23 | hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.23 | ~ hBOOL(hAPP(X1,X0)) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12256]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1655,plain,
% 10.90/11.23 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1)) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6354_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12218,plain,
% 10.90/11.23 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1)) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1655]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12219,plain,
% 10.90/11.23 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12218]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1645,plain,
% 10.90/11.23 ( X0 != X1
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X2,X1,X0)
% 10.90/11.23 | ~ class_Orderings_Olinorder(X2) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6359_1) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12198,plain,
% 10.90/11.23 ( X0 != X1
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X2,X1,X0)
% 10.90/11.23 | ~ class_Orderings_Olinorder(X2) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1645]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12199,plain,
% 10.90/11.23 ( ~ class_Orderings_Olinorder(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12198]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1643,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | ~ class_Orderings_Olinorder(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 10.90/11.23 | X2 != X1 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6359_3) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12194,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | ~ class_Orderings_Olinorder(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 10.90/11.23 | X2 != X1 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1643]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12195,plain,
% 10.90/11.23 ( ~ class_Orderings_Olinorder(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 10.90/11.23 | X2 != X1 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12194]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1642,plain,
% 10.90/11.23 ( ~ class_Orderings_Oord(X0)
% 10.90/11.23 | X1 != X2
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6360_0) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12192,plain,
% 10.90/11.23 ( ~ class_Orderings_Oord(X0)
% 10.90/11.23 | X1 != X2
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1642]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12193,plain,
% 10.90/11.23 ( ~ class_Orderings_Oord(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.23 | X3 != X1 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12192]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1638,plain,
% 10.90/11.23 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | X1 != X2
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6361_0) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12184,plain,
% 10.90/11.23 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | X1 != X2
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1638]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12185,plain,
% 10.90/11.23 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.23 | X3 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12184]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1631,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | X3 != X2
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.23 | ~ class_Orderings_Oord(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6362_3) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12170,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | X3 != X2
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.23 | ~ class_Orderings_Oord(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1631]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12171,plain,
% 10.90/11.23 ( ~ class_Orderings_Oord(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.23 | X3 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12170]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1627,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | X3 != X1
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.23 | ~ class_Orderings_Oorder(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6363_3) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12162,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | X3 != X1
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.23 | ~ class_Orderings_Oorder(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1627]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12163,plain,
% 10.90/11.23 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.23 | X3 != X1 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12162]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1623,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | X3 != X1
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.23 | ~ class_Orderings_Oorder(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6364_3) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12154,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | X3 != X1
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.23 | ~ class_Orderings_Oorder(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1623]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12155,plain,
% 10.90/11.23 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.23 | X3 != X1 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12154]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1619,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | X3 != X2
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.23 | ~ class_Orderings_Oord(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6365_3) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12146,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | X3 != X2
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.23 | ~ class_Orderings_Oord(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1619]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12147,plain,
% 10.90/11.23 ( ~ class_Orderings_Oord(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.23 | X3 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12146]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1618,plain,
% 10.90/11.23 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | X1 != X2
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6366_0) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12144,plain,
% 10.90/11.23 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | X1 != X2
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1618]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12145,plain,
% 10.90/11.23 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.23 | X3 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12144]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1614,plain,
% 10.90/11.23 ( ~ class_Orderings_Oord(X0)
% 10.90/11.23 | X1 != X2
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6367_0) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12136,plain,
% 10.90/11.23 ( ~ class_Orderings_Oord(X0)
% 10.90/11.23 | X1 != X2
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1614]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12137,plain,
% 10.90/11.23 ( ~ class_Orderings_Oord(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.23 | X3 != X1 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12136]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1609,plain,
% 10.90/11.23 ( X0 != X1
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
% 10.90/11.23 | ~ class_Orderings_Oorder(X2) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6368_1) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12126,plain,
% 10.90/11.23 ( X0 != X1
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
% 10.90/11.23 | ~ class_Orderings_Oorder(X2) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1609]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12127,plain,
% 10.90/11.23 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 10.90/11.23 | X2 != X1 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12126]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1607,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6368_3) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12122,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1607]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12123,plain,
% 10.90/11.23 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12122]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1549,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | X1 = X2
% 10.90/11.23 | ~ class_Orderings_Olinorder(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6387_3) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12006,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | X1 = X2
% 10.90/11.23 | ~ class_Orderings_Olinorder(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1549]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_12007,plain,
% 10.90/11.23 ( ~ class_Orderings_Olinorder(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | X1 = X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_12006]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1534,plain,
% 10.90/11.23 ( X0 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6392_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11976,plain,
% 10.90/11.23 ( X0 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1534]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11977,plain,
% 10.90/11.23 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.23 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11976]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1533,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.23 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6392_3) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11974,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.23 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1533]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11975,plain,
% 10.90/11.23 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 10.90/11.23 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11974]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1526,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X0),c_Groups_Ozero__class_Ozero(X1)) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6395_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11960,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X0),c_Groups_Ozero__class_Ozero(X1)) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1526]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11961,plain,
% 10.90/11.23 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11960]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1514,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6399_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11936,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1514]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11937,plain,
% 10.90/11.23 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11936]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1505,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 10.90/11.23 | ~ class_Rings_Oidom(X0)
% 10.90/11.23 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6404_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11918,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 10.90/11.23 | ~ class_Rings_Oidom(X0)
% 10.90/11.23 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1505]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11919,plain,
% 10.90/11.23 ( ~ class_Rings_Oidom(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 10.90/11.23 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11918]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1498,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6407_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11904,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1498]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11905,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11904]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1484,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6421_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11876,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1484]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11877,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11876]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1448,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1)
% 10.90/11.23 | ~ class_Groups_Oabs__if(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6435_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11804,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1)
% 10.90/11.23 | ~ class_Groups_Oabs__if(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1448]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11805,plain,
% 10.90/11.23 ( ~ class_Groups_Oabs__if(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11804]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1424,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.23 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X0,X1) != hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6447_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11756,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.23 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X0,X1) != hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1424]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11757,plain,
% 10.90/11.23 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X0,X1) != hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11756]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1418,plain,
% 10.90/11.23 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))
% 10.90/11.23 | X0 = c_Groups_Oone__class_Oone(X1)
% 10.90/11.23 | ~ class_Rings_Oring__1__no__zero__divisors(X1)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != c_Groups_Oone__class_Oone(X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6454_3) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11744,plain,
% 10.90/11.23 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))
% 10.90/11.23 | X0 = c_Groups_Oone__class_Oone(X1)
% 10.90/11.23 | ~ class_Rings_Oring__1__no__zero__divisors(X1)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) != c_Groups_Oone__class_Oone(X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1418]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11745,plain,
% 10.90/11.23 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) != c_Groups_Oone__class_Oone(X0)
% 10.90/11.23 | X1 = c_Groups_Oone__class_Oone(X0)
% 10.90/11.23 | X1 = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11744]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1389,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X1,X0) = c_Groups_Oone__class_Oone(X1)
% 10.90/11.23 | ~ class_Groups_Osgn__if(X1)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6465_3) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11686,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X1,X0) = c_Groups_Oone__class_Oone(X1)
% 10.90/11.23 | ~ class_Groups_Osgn__if(X1)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1389]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11687,plain,
% 10.90/11.23 ( ~ class_Groups_Osgn__if(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Oone__class_Oone(X0)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11686]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1374,plain,
% 10.90/11.23 ( ~ class_Rings_Ozero__neq__one(X0)
% 10.90/11.23 | ~ class_Rings_Ono__zero__divisors(X0)
% 10.90/11.23 | ~ class_Rings_Omult__zero(X0)
% 10.90/11.23 | ~ class_Power_Opower(X0)
% 10.90/11.23 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6472_5) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11656,plain,
% 10.90/11.23 ( ~ class_Rings_Ozero__neq__one(X0)
% 10.90/11.23 | ~ class_Rings_Ono__zero__divisors(X0)
% 10.90/11.23 | ~ class_Rings_Omult__zero(X0)
% 10.90/11.23 | ~ class_Power_Opower(X0)
% 10.90/11.23 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1374]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11657,plain,
% 10.90/11.23 ( ~ class_Rings_Ono__zero__divisors(X0)
% 10.90/11.23 | ~ class_Rings_Ozero__neq__one(X0)
% 10.90/11.23 | ~ class_Rings_Omult__zero(X0)
% 10.90/11.23 | ~ class_Power_Opower(X0)
% 10.90/11.23 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11656]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1368,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Rings_Ozero__neq__one(X1)
% 10.90/11.23 | ~ class_Rings_Ono__zero__divisors(X1)
% 10.90/11.23 | ~ class_Rings_Omult__zero(X1)
% 10.90/11.23 | ~ class_Power_Opower(X1)
% 10.90/11.23 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6473_5) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11644,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Rings_Ozero__neq__one(X1)
% 10.90/11.23 | ~ class_Rings_Ono__zero__divisors(X1)
% 10.90/11.23 | ~ class_Rings_Omult__zero(X1)
% 10.90/11.23 | ~ class_Power_Opower(X1)
% 10.90/11.23 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1368]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11645,plain,
% 10.90/11.23 ( ~ class_Rings_Ono__zero__divisors(X0)
% 10.90/11.23 | ~ class_Rings_Ozero__neq__one(X0)
% 10.90/11.23 | ~ class_Rings_Omult__zero(X0)
% 10.90/11.23 | ~ class_Power_Opower(X0)
% 10.90/11.23 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11644]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1358,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | ~ class_Orderings_Olinorder(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6478_3) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11624,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | ~ class_Orderings_Olinorder(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1358]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11625,plain,
% 10.90/11.23 ( ~ class_Orderings_Olinorder(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11624]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1335,plain,
% 10.90/11.23 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.23 | X1 = X2
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6488_0) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11578,plain,
% 10.90/11.23 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.23 | X1 = X2
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1335]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11579,plain,
% 10.90/11.23 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 10.90/11.23 | X1 = X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11578]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1322,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6492_1) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11552,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1322]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11553,plain,
% 10.90/11.23 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11552]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1311,plain,
% 10.90/11.23 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X1)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6497_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11530,plain,
% 10.90/11.23 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X1)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1311]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11531,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11530]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1308,plain,
% 10.90/11.23 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X1)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6498_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11524,plain,
% 10.90/11.23 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X1)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1308]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11525,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X2 = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11524]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1281,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 10.90/11.23 | ~ class_Rings_Oidom(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6507_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11470,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 10.90/11.23 | ~ class_Rings_Oidom(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1281]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11471,plain,
% 10.90/11.23 ( ~ class_Rings_Oidom(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11470]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1278,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)
% 10.90/11.23 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 10.90/11.23 | X2 != X3 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6508_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11464,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)
% 10.90/11.23 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 10.90/11.23 | X2 != X3 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1278]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11465,plain,
% 10.90/11.23 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)
% 10.90/11.23 | X2 != X3 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11464]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1275,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)
% 10.90/11.23 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 10.90/11.23 | X1 != X3 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6509_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11458,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)
% 10.90/11.23 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 10.90/11.23 | X1 != X3 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1275]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11459,plain,
% 10.90/11.23 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)
% 10.90/11.23 | X1 != X3 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11458]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1264,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk28_2(X0,X1))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.23 | ~ c_SEQ_OBseq(X1,X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6515_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11436,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk28_2(X0,X1))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.23 | ~ c_SEQ_OBseq(X1,X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1264]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11437,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk28_2(X1,X0))
% 10.90/11.23 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11436]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1261,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk22_2(X0,X1))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.23 | ~ c_SEQ_OBseq(X1,X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6516_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11430,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk22_2(X0,X1))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.23 | ~ c_SEQ_OBseq(X1,X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1261]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11431,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk22_2(X1,X0))
% 10.90/11.23 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11430]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1258,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk19_2(X0,X1))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.23 | ~ c_SEQ_OBseq(X1,X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6517_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11424,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk19_2(X0,X1))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.23 | ~ c_SEQ_OBseq(X1,X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1258]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11425,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk19_2(X1,X0))
% 10.90/11.23 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11424]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1255,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk17_2(X0,X1))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.23 | ~ c_SEQ_OBseq(X1,X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6518_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11418,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk17_2(X0,X1))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.23 | ~ c_SEQ_OBseq(X1,X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1255]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11419,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk17_2(X1,X0))
% 10.90/11.23 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11418]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1248,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 10.90/11.23 | X1 = X0
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6521_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11404,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 10.90/11.23 | X1 = X0
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1248]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11405,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 10.90/11.23 | X1 = X0 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11404]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1244,plain,
% 10.90/11.23 ( X0 = X1
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6523_0) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11396,plain,
% 10.90/11.23 ( X0 = X1
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1244]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11397,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 10.90/11.23 | X0 = X1 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11396]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1226,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 10.90/11.23 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 10.90/11.23 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6529_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11360,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 10.90/11.23 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 10.90/11.23 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1226]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11361,plain,
% 10.90/11.23 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 10.90/11.23 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11360]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1221,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6532_0) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11350,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1221]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11351,plain,
% 10.90/11.23 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11350]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1218,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Rings_Oring__no__zero__divisors(X1)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6532_3) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11344,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Rings_Oring__no__zero__divisors(X1)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1218]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11345,plain,
% 10.90/11.23 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11344]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1200,plain,
% 10.90/11.23 ( X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.23 | c_Transcendental_Oln(X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6538_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11308,plain,
% 10.90/11.23 ( X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.23 | c_Transcendental_Oln(X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1200]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11309,plain,
% 10.90/11.23 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.23 | c_Transcendental_Oln(X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11308]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1195,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.23 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6540_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11298,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.23 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1195]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11299,plain,
% 10.90/11.23 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11298]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1192,plain,
% 10.90/11.23 ( X0 = X1
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X2)
% 10.90/11.23 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6541_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11292,plain,
% 10.90/11.23 ( X0 = X1
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X2)
% 10.90/11.23 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1192]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11293,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 = X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11292]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1189,plain,
% 10.90/11.23 ( X0 = X1
% 10.90/11.23 | ~ class_Groups_Oab__group__add(X2)
% 10.90/11.23 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6542_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11286,plain,
% 10.90/11.23 ( X0 = X1
% 10.90/11.23 | ~ class_Groups_Oab__group__add(X2)
% 10.90/11.23 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1189]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11287,plain,
% 10.90/11.23 ( ~ class_Groups_Oab__group__add(X0)
% 10.90/11.23 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 = X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11286]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1184,plain,
% 10.90/11.23 ( c_Transcendental_Oln(X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.23 | X0 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6544_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11276,plain,
% 10.90/11.23 ( c_Transcendental_Oln(X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.23 | X0 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1184]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11277,plain,
% 10.90/11.23 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.23 | c_Transcendental_Oln(X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | X0 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11276]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1175,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6547_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11258,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1175]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11259,plain,
% 10.90/11.23 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11258]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1162,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6552_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11232,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1162]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11233,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 10.90/11.23 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11232]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1159,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6553_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11226,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1159]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11227,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | X0 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11226]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1151,plain,
% 10.90/11.23 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk60_1(X0),sk1_esk61_1(X0))
% 10.90/11.23 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6557_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11210,plain,
% 10.90/11.23 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk60_1(X0),sk1_esk61_1(X0))
% 10.90/11.23 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1151]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11211,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk60_1(X0),sk1_esk61_1(X0))
% 10.90/11.23 | c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 10.90/11.23 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11210]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1142,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6561_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11192,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1142]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11193,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11192]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1135,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | ~ class_Rings_Ozero__neq__one(X0)
% 10.90/11.23 | ~ class_Rings_Ono__zero__divisors(X0)
% 10.90/11.23 | ~ class_Rings_Omult__zero(X0)
% 10.90/11.23 | ~ class_Power_Opower(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6562_6) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11178,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | ~ class_Rings_Ozero__neq__one(X0)
% 10.90/11.23 | ~ class_Rings_Ono__zero__divisors(X0)
% 10.90/11.23 | ~ class_Rings_Omult__zero(X0)
% 10.90/11.23 | ~ class_Power_Opower(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1135]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11179,plain,
% 10.90/11.23 ( ~ class_Rings_Ono__zero__divisors(X0)
% 10.90/11.23 | ~ class_Rings_Ozero__neq__one(X0)
% 10.90/11.23 | ~ class_Rings_Omult__zero(X0)
% 10.90/11.23 | ~ class_Power_Opower(X0)
% 10.90/11.23 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11178]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1132,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6563_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11172,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1132]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11173,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11172]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1129,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | X2 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6564_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11166,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | X2 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1129]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11167,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X2 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11166]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1120,plain,
% 10.90/11.23 ( ~ class_Orderings_Olinorder(X0)
% 10.90/11.23 | X1 != X2
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6567_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11148,plain,
% 10.90/11.23 ( ~ class_Orderings_Olinorder(X0)
% 10.90/11.23 | X1 != X2
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1120]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11149,plain,
% 10.90/11.23 ( ~ class_Orderings_Olinorder(X0)
% 10.90/11.23 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.23 | X2 != X1 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11148]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1105,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.23 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6572_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11118,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.23 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1105]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11119,plain,
% 10.90/11.23 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11118]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1102,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X0) != X2 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6573_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11112,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X0) != X2 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1102]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_11113,plain,
% 10.90/11.23 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != X1
% 10.90/11.23 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_11112]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1028,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 10.90/11.23 | ~ class_Rings_Osemiring__0(X0)
% 10.90/11.23 | ~ class_Power_Opower(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6611_3) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10964,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 10.90/11.23 | ~ class_Rings_Osemiring__0(X0)
% 10.90/11.23 | ~ class_Power_Opower(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1028]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10965,plain,
% 10.90/11.23 ( ~ class_Rings_Osemiring__0(X0)
% 10.90/11.23 | ~ class_Power_Opower(X0)
% 10.90/11.23 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10964]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_1006,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | ~ class_Rings_Osemiring__0(X0)
% 10.90/11.23 | ~ class_Power_Opower(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6625_3) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10920,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | ~ class_Rings_Osemiring__0(X0)
% 10.90/11.23 | ~ class_Power_Opower(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_1006]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10921,plain,
% 10.90/11.23 ( ~ class_Rings_Osemiring__0(X0)
% 10.90/11.23 | ~ class_Power_Opower(X0)
% 10.90/11.23 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10920]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_969,plain,
% 10.90/11.23 ( X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 10.90/11.23 | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6645_1) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10846,plain,
% 10.90/11.23 ( X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 10.90/11.23 | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_969]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10847,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 10.90/11.23 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 10.90/11.23 | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10846]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_959,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk36_1(X0))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6650_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10826,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk36_1(X0))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_959]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10827,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk36_1(X0)) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10826]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_956,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk33_1(X0))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6651_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10820,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk33_1(X0))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_956]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10821,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk33_1(X0)) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10820]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_939,plain,
% 10.90/11.23 ( c_Lim_OisUCont(tc_RealDef_Oreal,X0,c_RealVector_Oof__real(X0))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6660_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10786,plain,
% 10.90/11.23 ( c_Lim_OisUCont(tc_RealDef_Oreal,X0,c_RealVector_Oof__real(X0))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_939]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10787,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.23 | c_Lim_OisUCont(tc_RealDef_Oreal,X0,c_RealVector_Oof__real(X0)) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10786]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_932,plain,
% 10.90/11.23 ( X0 = X1
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X2)
% 10.90/11.23 | hAPP(c_RealVector_Oof__real(X2),X0) != hAPP(c_RealVector_Oof__real(X2),X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6663_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10772,plain,
% 10.90/11.23 ( X0 = X1
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X2)
% 10.90/11.23 | hAPP(c_RealVector_Oof__real(X2),X0) != hAPP(c_RealVector_Oof__real(X2),X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_932]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10773,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.23 | hAPP(c_RealVector_Oof__real(X0),X1) != hAPP(c_RealVector_Oof__real(X0),X2)
% 10.90/11.23 | X1 = X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10772]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_929,plain,
% 10.90/11.23 ( X0 = X1
% 10.90/11.23 | ~ class_Lattices_Oboolean__algebra(X2)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X2),X0) != hAPP(c_Groups_Ouminus__class_Ouminus(X2),X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6664_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10766,plain,
% 10.90/11.23 ( X0 = X1
% 10.90/11.23 | ~ class_Lattices_Oboolean__algebra(X2)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X2),X0) != hAPP(c_Groups_Ouminus__class_Ouminus(X2),X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_929]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10767,plain,
% 10.90/11.23 ( ~ class_Lattices_Oboolean__algebra(X0)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 10.90/11.23 | X1 = X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10766]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_926,plain,
% 10.90/11.23 ( X0 = X1
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X2)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X2),X0) != hAPP(c_Groups_Ouminus__class_Ouminus(X2),X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6665_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10760,plain,
% 10.90/11.23 ( X0 = X1
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X2)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X2),X0) != hAPP(c_Groups_Ouminus__class_Ouminus(X2),X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_926]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10761,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 10.90/11.23 | X1 = X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10760]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_902,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 10.90/11.23 | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 10.90/11.23 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6675_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10712,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 10.90/11.23 | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 10.90/11.23 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_902]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10713,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 10.90/11.23 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10712]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_899,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 10.90/11.23 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6676_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10706,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 10.90/11.23 | ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_899]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10707,plain,
% 10.90/11.23 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = c_Groups_Oone__class_Oone(X0)
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10706]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_896,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6677_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10700,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_896]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10701,plain,
% 10.90/11.23 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10700]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_893,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 10.90/11.23 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6678_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10694,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 10.90/11.23 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_893]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10695,plain,
% 10.90/11.23 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10694]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_891,plain,
% 10.90/11.23 ( c_RealVector_Onorm__class_Onorm(X0,hAPP(c_RealVector_Oof__real(X0),X1)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6679_1) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10690,plain,
% 10.90/11.23 ( c_RealVector_Onorm__class_Onorm(X0,hAPP(c_RealVector_Oof__real(X0),X1)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_891]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10691,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 10.90/11.23 | c_RealVector_Onorm__class_Onorm(X0,hAPP(c_RealVector_Oof__real(X0),X1)) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10690]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_885,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6681_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10678,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_885]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10679,plain,
% 10.90/11.23 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10678]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_873,plain,
% 10.90/11.23 ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = X0
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6687_1) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10654,plain,
% 10.90/11.23 ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = X0
% 10.90/11.23 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_873]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10655,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 10.90/11.23 | c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = X0 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10654]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_858,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Oone__class_Oone(X0)
% 10.90/11.23 | ~ class_Power_Opower(X0)
% 10.90/11.23 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6694_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10624,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Oone__class_Oone(X0)
% 10.90/11.23 | ~ class_Power_Opower(X0)
% 10.90/11.23 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_858]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10625,plain,
% 10.90/11.23 ( ~ class_Power_Opower(X0)
% 10.90/11.23 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Oone__class_Oone(X0)
% 10.90/11.23 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10624]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_855,plain,
% 10.90/11.23 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6695_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10618,plain,
% 10.90/11.23 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_855]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10619,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10618]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_852,plain,
% 10.90/11.23 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Oab__group__add(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6696_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10612,plain,
% 10.90/11.23 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Oab__group__add(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_852]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10613,plain,
% 10.90/11.23 ( ~ class_Groups_Oab__group__add(X0)
% 10.90/11.23 | c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10612]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_847,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = X1
% 10.90/11.23 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.23 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6698_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10602,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = X1
% 10.90/11.23 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.23 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_847]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10603,plain,
% 10.90/11.23 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = X1
% 10.90/11.23 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10602]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_816,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6712_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10540,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_816]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10541,plain,
% 10.90/11.23 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10540]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_813,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | X2 != X1 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6713_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10534,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | X2 != X1 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_813]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10535,plain,
% 10.90/11.23 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.23 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.23 | X2 != X1 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10534]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_796,plain,
% 10.90/11.23 ( X0 != hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 10.90/11.23 | X2 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6725_1) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10500,plain,
% 10.90/11.23 ( X0 != hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 10.90/11.23 | X2 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_796]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10501,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 10.90/11.23 | X2 = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10500]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_795,plain,
% 10.90/11.23 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X1)
% 10.90/11.23 | X2 != hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6725_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10498,plain,
% 10.90/11.23 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X1)
% 10.90/11.23 | X2 != hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_795]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10499,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | X1 = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 10.90/11.23 | X2 != hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10498]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_790,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != X2
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) = X1
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6727_1) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10488,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != X2
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) = X1
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_790]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10489,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != X2
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) = X1 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10488]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_789,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X2
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) != X1 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6727_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10486,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X2
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) != X1 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_789]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10487,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X2
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2) != X1 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10486]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_780,plain,
% 10.90/11.23 ( X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6733_1) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10468,plain,
% 10.90/11.23 ( X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_780]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10469,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 10.90/11.23 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10468]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_777,plain,
% 10.90/11.23 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6734_1) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10462,plain,
% 10.90/11.23 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_777]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10463,plain,
% 10.90/11.23 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10462]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_766,plain,
% 10.90/11.23 ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6739_1) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10440,plain,
% 10.90/11.23 ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_766]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10441,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10440]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_763,plain,
% 10.90/11.23 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6745_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10434,plain,
% 10.90/11.23 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_763]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10435,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10434]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_741,plain,
% 10.90/11.23 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 10.90/11.23 | ~ c_SEQ_Omonoseq(tc_RealDef_Oreal,X0)
% 10.90/11.23 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6765_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10390,plain,
% 10.90/11.23 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 10.90/11.23 | ~ c_SEQ_Omonoseq(tc_RealDef_Oreal,X0)
% 10.90/11.23 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_741]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10391,plain,
% 10.90/11.23 ( ~ c_SEQ_Omonoseq(tc_RealDef_Oreal,X0)
% 10.90/11.23 | c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 10.90/11.23 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10390]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_734,plain,
% 10.90/11.23 ( hAPP(c_RealVector_Oof__real(X0),X1) = hAPP(c_RealVector_Oof__real(X0),X2)
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6777_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10376,plain,
% 10.90/11.23 ( hAPP(c_RealVector_Oof__real(X0),X1) = hAPP(c_RealVector_Oof__real(X0),X2)
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_734]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10377,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.23 | hAPP(c_RealVector_Oof__real(X0),X1) = hAPP(c_RealVector_Oof__real(X0),X2)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10376]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_731,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 10.90/11.23 | ~ class_Lattices_Oboolean__algebra(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6778_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10370,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 10.90/11.23 | ~ class_Lattices_Oboolean__algebra(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_731]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10371,plain,
% 10.90/11.23 ( ~ class_Lattices_Oboolean__algebra(X0)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10370]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_728,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6779_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10364,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_728]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10365,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2)
% 10.90/11.23 | X1 != X2 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10364]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_725,plain,
% 10.90/11.23 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6781_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10358,plain,
% 10.90/11.23 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_725]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10359,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | c_Groups_Ozero__class_Ozero(X0) = X1
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10358]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_722,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X1)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6782_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10352,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X1)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_722]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10353,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10352]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_719,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X1)
% 10.90/11.23 | hAPP(c_RealVector_Oof__real(X1),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6790_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10346,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X1)
% 10.90/11.23 | hAPP(c_RealVector_Oof__real(X1),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_719]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10347,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.23 | hAPP(c_RealVector_Oof__real(X0),X1) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10346]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_709,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0) != X0 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6796_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10326,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X1),X0) != X0 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_709]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10327,plain,
% 10.90/11.23 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) != X1
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10326]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_706,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 10.90/11.23 | ~ class_Groups_Ozero(X1)
% 10.90/11.23 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6798_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10320,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 10.90/11.23 | ~ class_Groups_Ozero(X1)
% 10.90/11.23 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_706]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10321,plain,
% 10.90/11.23 ( ~ class_Groups_Ozero(X0)
% 10.90/11.23 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10320]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_694,plain,
% 10.90/11.23 ( c_SEQ_OCauchy(X0,X1)
% 10.90/11.23 | ~ class_SEQ_Ocomplete__space(X0)
% 10.90/11.23 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6802_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10296,plain,
% 10.90/11.23 ( c_SEQ_OCauchy(X0,X1)
% 10.90/11.23 | ~ class_SEQ_Ocomplete__space(X0)
% 10.90/11.23 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_694]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10297,plain,
% 10.90/11.23 ( ~ class_SEQ_Ocomplete__space(X0)
% 10.90/11.23 | c_SEQ_OCauchy(X0,X1)
% 10.90/11.23 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10296]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_682,plain,
% 10.90/11.23 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | ~ class_Groups_Ozero(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6806_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10272,plain,
% 10.90/11.23 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | ~ class_Groups_Ozero(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_682]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10273,plain,
% 10.90/11.23 ( ~ class_Groups_Ozero(X0)
% 10.90/11.23 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10272]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_674,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6809_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10256,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_674]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10257,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10256]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_671,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Rings_Olinordered__idom(X1)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6810_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10250,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Rings_Olinordered__idom(X1)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_671]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10251,plain,
% 10.90/11.23 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10250]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_668,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 10.90/11.23 | c_Groups_Oabs__class_Oabs(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6811_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10244,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 10.90/11.23 | c_Groups_Oabs__class_Oabs(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_668]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10245,plain,
% 10.90/11.23 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.23 | c_Groups_Oabs__class_Oabs(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10244]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_662,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | c_Groups_Ozero__class_Ozero(X0) != X1 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6814_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10232,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | c_Groups_Ozero__class_Ozero(X0) != X1 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_662]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10233,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | c_Groups_Ozero__class_Ozero(X0) != X1
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10232]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_659,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6815_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10226,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_659]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10227,plain,
% 10.90/11.23 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10226]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_656,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.23 | c_RealVector_Onorm__class_Onorm(X1,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6818_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10220,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X1)
% 10.90/11.23 | c_RealVector_Onorm__class_Onorm(X1,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_656]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10221,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | c_RealVector_Onorm__class_Onorm(X0,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10220]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_639,plain,
% 10.90/11.23 ( hAPP(c_RealVector_Oof__real(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6826_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10186,plain,
% 10.90/11.23 ( hAPP(c_RealVector_Oof__real(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_639]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10187,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.23 | hAPP(c_RealVector_Oof__real(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10186]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_633,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X1
% 10.90/11.23 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6828_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10174,plain,
% 10.90/11.23 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X1
% 10.90/11.23 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_633]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10175,plain,
% 10.90/11.23 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 10.90/11.23 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X1
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10174]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_631,plain,
% 10.90/11.23 ( X0 != X1
% 10.90/11.23 | c_Complex_Ocomplex_OComplex(X0,X2) = c_Complex_Ocomplex_OComplex(X1,X3)
% 10.90/11.23 | X2 != X3 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6829_1) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10170,plain,
% 10.90/11.23 ( X0 != X1
% 10.90/11.23 | c_Complex_Ocomplex_OComplex(X0,X2) = c_Complex_Ocomplex_OComplex(X1,X3)
% 10.90/11.23 | X2 != X3 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_631]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10171,plain,
% 10.90/11.23 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Complex_Ocomplex_OComplex(X2,X3)
% 10.90/11.23 | X0 != X2
% 10.90/11.23 | X1 != X3 ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10170]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_623,plain,
% 10.90/11.23 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Osgn__if(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6834_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10154,plain,
% 10.90/11.23 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Osgn__if(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_623]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10155,plain,
% 10.90/11.23 ( ~ class_Groups_Osgn__if(X0)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10154]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_620,plain,
% 10.90/11.23 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6835_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10148,plain,
% 10.90/11.23 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_620]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10149,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10148]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_617,plain,
% 10.90/11.23 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6836_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10142,plain,
% 10.90/11.23 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_617]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10143,plain,
% 10.90/11.23 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.23 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10142]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_614,plain,
% 10.90/11.23 ( c_Groups_Oabs__class_Oabs(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6837_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10136,plain,
% 10.90/11.23 ( c_Groups_Oabs__class_Oabs(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_614]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10137,plain,
% 10.90/11.23 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.23 | c_Groups_Oabs__class_Oabs(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10136]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_609,plain,
% 10.90/11.23 ( c_RealVector_Onorm__class_Onorm(X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6840_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10126,plain,
% 10.90/11.23 ( c_RealVector_Onorm__class_Onorm(X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_609]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10127,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | c_RealVector_Onorm__class_Onorm(X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10126]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_580,plain,
% 10.90/11.23 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | c_Complex_Ocomplex_OComplex(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6854_1) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10068,plain,
% 10.90/11.23 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | c_Complex_Ocomplex_OComplex(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_580]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10069,plain,
% 10.90/11.23 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 10.90/11.23 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10068]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_566,plain,
% 10.90/11.23 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Complex_Oii
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 10.90/11.23 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6863_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10040,plain,
% 10.90/11.23 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Complex_Oii
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 10.90/11.23 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_566]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10041,plain,
% 10.90/11.23 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Complex_Oii
% 10.90/11.23 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10040]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_555,plain,
% 10.90/11.23 ( X0 = c_Groups_Oone__class_Oone(X1)
% 10.90/11.23 | ~ class_Groups_Oone(X1)
% 10.90/11.23 | c_Groups_Oone__class_Oone(X1) != X0 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6872_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10018,plain,
% 10.90/11.23 ( X0 = c_Groups_Oone__class_Oone(X1)
% 10.90/11.23 | ~ class_Groups_Oone(X1)
% 10.90/11.23 | c_Groups_Oone__class_Oone(X1) != X0 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_555]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10019,plain,
% 10.90/11.23 ( ~ class_Groups_Oone(X0)
% 10.90/11.23 | c_Groups_Oone__class_Oone(X0) != X1
% 10.90/11.23 | X1 = c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10018]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_552,plain,
% 10.90/11.23 ( c_Groups_Oone__class_Oone(X0) = X1
% 10.90/11.23 | ~ class_Groups_Oone(X0)
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6873_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10012,plain,
% 10.90/11.23 ( c_Groups_Oone__class_Oone(X0) = X1
% 10.90/11.23 | ~ class_Groups_Oone(X0)
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_552]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10013,plain,
% 10.90/11.23 ( ~ class_Groups_Oone(X0)
% 10.90/11.23 | c_Groups_Oone__class_Oone(X0) = X1
% 10.90/11.23 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10012]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_549,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Groups_Ozero(X1)
% 10.90/11.23 | c_Groups_Ozero__class_Ozero(X1) != X0 ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6874_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10006,plain,
% 10.90/11.23 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 10.90/11.23 | ~ class_Groups_Ozero(X1)
% 10.90/11.23 | c_Groups_Ozero__class_Ozero(X1) != X0 ),
% 10.90/11.23 inference(copy,[status(esa)],[c_549]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10007,plain,
% 10.90/11.23 ( ~ class_Groups_Ozero(X0)
% 10.90/11.23 | c_Groups_Ozero__class_Ozero(X0) != X1
% 10.90/11.23 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10006]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_546,plain,
% 10.90/11.23 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 10.90/11.23 | ~ class_Groups_Ozero(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6875_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10000,plain,
% 10.90/11.23 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 10.90/11.23 | ~ class_Groups_Ozero(X0)
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_546]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_10001,plain,
% 10.90/11.23 ( ~ class_Groups_Ozero(X0)
% 10.90/11.23 | c_Groups_Ozero__class_Ozero(X0) = X1
% 10.90/11.23 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_10000]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_422,plain,
% 10.90/11.23 ( ~ 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) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5892_0) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9752,plain,
% 10.90/11.23 ( ~ 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) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_422]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9753,plain,
% 10.90/11.23 ( ~ 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) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_9752]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_403,plain,
% 10.90/11.23 ( 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))))) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5525_0) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9715,plain,
% 10.90/11.23 ( 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))))) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_403]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9716,plain,
% 10.90/11.23 ( 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))))) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_9715]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_402,plain,
% 10.90/11.23 ( 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))))) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5544_0) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9713,plain,
% 10.90/11.23 ( 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))))) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_402]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9714,plain,
% 10.90/11.23 ( 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))))) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_9713]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_368,plain,
% 10.90/11.23 ( 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))) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5971_0) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9675,plain,
% 10.90/11.23 ( 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))) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_368]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9676,plain,
% 10.90/11.23 ( 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))) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_9675]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_359,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,hAPP(v_s,X0))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6033_0) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9663,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,hAPP(v_s,X0))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_359]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9664,plain,
% 10.90/11.23 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,hAPP(v_s,X0))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_9663]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_330,plain,
% 10.90/11.23 ( 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))) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6262_0) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9621,plain,
% 10.90/11.23 ( 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))) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_330]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9622,plain,
% 10.90/11.23 ( 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))) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_9621]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_318,plain,
% 10.90/11.23 ( 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)) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6408_0) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9604,plain,
% 10.90/11.23 ( 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)) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_318]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9605,plain,
% 10.90/11.23 ( 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)) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_9604]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_317,plain,
% 10.90/11.23 ( 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)) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6409_0) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9602,plain,
% 10.90/11.23 ( 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)) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_317]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_9603,plain,
% 10.90/11.23 ( 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)) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_9602]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_3967,negated_conjecture,
% 10.90/11.23 ( ~ c_SEQ_OBseq(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____))) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_4) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_5065,negated_conjecture,
% 10.90/11.23 ( ~ c_SEQ_OBseq(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____))) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_3967]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_5069,negated_conjecture,
% 10.90/11.23 ( ~ c_SEQ_OBseq(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____))) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_5065]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_5070,negated_conjecture,
% 10.90/11.23 ( ~ c_SEQ_OBseq(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____))) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_5069]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_5071,negated_conjecture,
% 10.90/11.23 ( ~ c_SEQ_OBseq(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____))) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_5070]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_16842,negated_conjecture,
% 10.90/11.23 ( ~ c_SEQ_OBseq(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____))) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_5071]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_3956,plain,
% 10.90/11.23 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.23 | ~ 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)))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.23 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5499_2) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_16820,plain,
% 10.90/11.23 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.23 | ~ 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)))
% 10.90/11.23 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.23 inference(copy,[status(esa)],[c_3956]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_16821,plain,
% 10.90/11.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.23 | ~ 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)))
% 10.90/11.23 | c_SEQ_OBseq(X0,X1) ),
% 10.90/11.23 inference(rewriting,[status(thm)],[c_16820]) ).
% 10.90/11.23
% 10.90/11.23 cnf(c_3938,plain,
% 10.90/11.23 ( 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))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5504_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16784,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3938]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16785,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.24 | 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)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16784]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3936,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5505_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16780,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3936]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16781,plain,
% 10.90/11.24 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.24 | 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) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16780]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3934,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5506_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16776,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3934]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16777,plain,
% 10.90/11.24 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.24 | 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))) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16776]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3925,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X2)
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5508_3) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16758,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X2)
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3925]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16759,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.24 | 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))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X2)
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16758]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3921,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X2)
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5509_3) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16750,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X2)
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3921]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16751,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.24 | 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))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X2)
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16750]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3918,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_SEQ_OCauchy(X0,X1)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5510_2) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16744,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_SEQ_OCauchy(X0,X1)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3918]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16745,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.24 | 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))
% 10.90/11.24 | ~ c_SEQ_OCauchy(X0,X1) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16744]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3915,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5511_2) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16738,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3915]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16739,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.24 | 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))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16738]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3912,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ c_SEQ_OBseq(X0,X1)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5512_2) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16732,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ c_SEQ_OBseq(X0,X1)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3912]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16733,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.24 | 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)))
% 10.90/11.24 | ~ c_SEQ_OBseq(X0,X1) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16732]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3910,plain,
% 10.90/11.24 ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X1,X7,X8,X9),X10)
% 10.90/11.24 | hAPP(X3,hAPP(X4,X5)) != hAPP(X8,hAPP(X9,X10)) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5516_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16728,plain,
% 10.90/11.24 ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X1,X7,X8,X9),X10)
% 10.90/11.24 | hAPP(X3,hAPP(X4,X5)) != hAPP(X8,hAPP(X9,X10)) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3910]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3889,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X0)
% 10.90/11.24 | ~ 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) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5523_2) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16686,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X0)
% 10.90/11.24 | ~ 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) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3889]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16687,plain,
% 10.90/11.24 ( ~ 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)
% 10.90/11.24 | 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16686]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3870,plain,
% 10.90/11.24 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,hAPP(X4,X2))
% 10.90/11.24 | c_Fun_Ocomp(X5,X6,X7,X0,X1) != c_Fun_Ocomp(X8,X6,X7,X3,X4) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5531_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16648,plain,
% 10.90/11.24 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,hAPP(X4,X2))
% 10.90/11.24 | c_Fun_Ocomp(X5,X6,X7,X0,X1) != c_Fun_Ocomp(X8,X6,X7,X3,X4) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3870]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3849,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.24 | ~ 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)) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5538_2) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16606,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.24 | ~ 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)) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3849]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16607,plain,
% 10.90/11.24 ( ~ 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))
% 10.90/11.24 | 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X3) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16606]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3838,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5542_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16584,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3838]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16585,plain,
% 10.90/11.24 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.24 | 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) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16584]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3836,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X3) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5543_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16580,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X3) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3836]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16581,plain,
% 10.90/11.24 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.24 | 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)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16580]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3834,plain,
% 10.90/11.24 ( 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))))
% 10.90/11.24 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5545_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16576,plain,
% 10.90/11.24 ( 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))))
% 10.90/11.24 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3834]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16577,plain,
% 10.90/11.24 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.24 | 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)))) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16576]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3832,plain,
% 10.90/11.24 ( 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))))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5546_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16572,plain,
% 10.90/11.24 ( 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))))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3832]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16573,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.24 | 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)))) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16572]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3828,plain,
% 10.90/11.24 ( ~ class_RealVector_Ometric__space(X0)
% 10.90/11.24 | c_SEQ_OCauchy(X0,c_COMBB(X1,X0,tc_Nat_Onat,X2,X3))
% 10.90/11.24 | ~ c_SEQ_OCauchy(X1,X3)
% 10.90/11.24 | ~ c_Lim_OisUCont(X1,X0,X2)
% 10.90/11.24 | ~ class_RealVector_Ometric__space(X1) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5548_3) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16564,plain,
% 10.90/11.24 ( ~ class_RealVector_Ometric__space(X0)
% 10.90/11.24 | c_SEQ_OCauchy(X0,c_COMBB(X1,X0,tc_Nat_Onat,X2,X3))
% 10.90/11.24 | ~ c_SEQ_OCauchy(X1,X3)
% 10.90/11.24 | ~ c_Lim_OisUCont(X1,X0,X2)
% 10.90/11.24 | ~ class_RealVector_Ometric__space(X1) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3828]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16565,plain,
% 10.90/11.24 ( ~ class_RealVector_Ometric__space(X0)
% 10.90/11.24 | ~ class_RealVector_Ometric__space(X1)
% 10.90/11.24 | ~ c_Lim_OisUCont(X1,X0,X2)
% 10.90/11.24 | c_SEQ_OCauchy(X0,c_COMBB(X1,X0,tc_Nat_Onat,X2,X3))
% 10.90/11.24 | ~ c_SEQ_OCauchy(X1,X3) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16564]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3824,plain,
% 10.90/11.24 ( c_SEQ_OCauchy(X0,c_COMBB(X0,X0,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.24 | ~ c_SEQ_OCauchy(X0,X2)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5550_2) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16556,plain,
% 10.90/11.24 ( c_SEQ_OCauchy(X0,c_COMBB(X0,X0,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.24 | ~ c_SEQ_OCauchy(X0,X2)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3824]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16557,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.24 | c_SEQ_OCauchy(X0,c_COMBB(X0,X0,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.24 | ~ c_SEQ_OCauchy(X0,X2) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16556]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3821,plain,
% 10.90/11.24 ( c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X2)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5551_2) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16550,plain,
% 10.90/11.24 ( c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X2)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3821]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16551,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.24 | c_SEQ_Oconvergent(X0,c_COMBB(X0,X0,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X2) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16550]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3818,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5552_2) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16544,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3818]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16545,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.24 | ~ c_SEQ_Oconvergent(X0,X1)
% 10.90/11.24 | 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)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16544]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3816,plain,
% 10.90/11.24 ( c_Lim_OisUCont(X0,X0,c_COMBC(X0,X0,X0,c_Groups_Otimes__class_Otimes(X0),X1))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5554_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16540,plain,
% 10.90/11.24 ( c_Lim_OisUCont(X0,X0,c_COMBC(X0,X0,X0,c_Groups_Otimes__class_Otimes(X0),X1))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3816]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16541,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.24 | c_Lim_OisUCont(X0,X0,c_COMBC(X0,X0,X0,c_Groups_Otimes__class_Otimes(X0),X1)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16540]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3794,plain,
% 10.90/11.24 ( c_SEQ_Omonoseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.24 | ~ c_SEQ_Omonoseq(X0,X1)
% 10.90/11.24 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5564_2) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16496,plain,
% 10.90/11.24 ( c_SEQ_Omonoseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.24 | ~ c_SEQ_Omonoseq(X0,X1)
% 10.90/11.24 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3794]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16497,plain,
% 10.90/11.24 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.24 | c_SEQ_Omonoseq(X0,c_COMBB(X0,X0,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(X0),X1))
% 10.90/11.24 | ~ c_SEQ_Omonoseq(X0,X1) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16496]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3781,plain,
% 10.90/11.24 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X0))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5568_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16470,plain,
% 10.90/11.24 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X0))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3781]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16471,plain,
% 10.90/11.24 ( ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X0)
% 10.90/11.24 | c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X0)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16470]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3779,plain,
% 10.90/11.24 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X0))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5569_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16466,plain,
% 10.90/11.24 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X0))
% 10.90/11.24 | ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3779]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16467,plain,
% 10.90/11.24 ( ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X0)
% 10.90/11.24 | c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X0)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16466]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3777,plain,
% 10.90/11.24 ( c_SEQ_OCauchy(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X0))
% 10.90/11.24 | ~ c_SEQ_OCauchy(tc_Complex_Ocomplex,X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5570_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16462,plain,
% 10.90/11.24 ( c_SEQ_OCauchy(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X0))
% 10.90/11.24 | ~ c_SEQ_OCauchy(tc_Complex_Ocomplex,X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3777]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16463,plain,
% 10.90/11.24 ( ~ c_SEQ_OCauchy(tc_Complex_Ocomplex,X0)
% 10.90/11.24 | c_SEQ_OCauchy(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X0)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16462]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3775,plain,
% 10.90/11.24 ( c_SEQ_OCauchy(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X0))
% 10.90/11.24 | ~ c_SEQ_OCauchy(tc_Complex_Ocomplex,X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5571_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16458,plain,
% 10.90/11.24 ( c_SEQ_OCauchy(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X0))
% 10.90/11.24 | ~ c_SEQ_OCauchy(tc_Complex_Ocomplex,X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3775]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16459,plain,
% 10.90/11.24 ( ~ c_SEQ_OCauchy(tc_Complex_Ocomplex,X0)
% 10.90/11.24 | c_SEQ_OCauchy(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X0)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16458]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3758,plain,
% 10.90/11.24 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,X2)
% 10.90/11.24 | c_Fun_Ocomp(X4,X5,X6,X0,X1) != X3 ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5577_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16424,plain,
% 10.90/11.24 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,X2)
% 10.90/11.24 | c_Fun_Ocomp(X4,X5,X6,X0,X1) != X3 ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3758]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3725,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_Rings_Osemiring(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5585_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16358,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_Rings_Osemiring(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3725]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16359,plain,
% 10.90/11.24 ( ~ class_Rings_Osemiring(X0)
% 10.90/11.24 | 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) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16358]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3720,plain,
% 10.90/11.24 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X4)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 10.90/11.24 | ~ 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)) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5586_4) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16348,plain,
% 10.90/11.24 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X4)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 10.90/11.24 | ~ 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)) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3720]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16349,plain,
% 10.90/11.24 ( ~ 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 10.90/11.24 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X1)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X4) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16348]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3713,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ class_Rings_Oring(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5589_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16334,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ class_Rings_Oring(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3713]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16335,plain,
% 10.90/11.24 ( ~ class_Rings_Oring(X0)
% 10.90/11.24 | 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)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16334]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3711,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5590_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16330,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3711]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16331,plain,
% 10.90/11.24 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.24 | 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)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16330]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3709,plain,
% 10.90/11.24 ( 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_esk57_1(X0)))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5591_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16326,plain,
% 10.90/11.24 ( 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_esk57_1(X0)))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3709]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16327,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.24 | 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_esk57_1(X0))) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16326]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3707,plain,
% 10.90/11.24 ( 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_esk39_1(X0)))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5592_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16322,plain,
% 10.90/11.24 ( 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_esk39_1(X0)))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3707]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16323,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.24 | 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_esk39_1(X0))) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16322]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3674,plain,
% 10.90/11.24 ( ~ 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))
% 10.90/11.24 | ~ class_Rings_Olinordered__ring(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5601_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16256,plain,
% 10.90/11.24 ( ~ 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))
% 10.90/11.24 | ~ class_Rings_Olinordered__ring(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3674]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16257,plain,
% 10.90/11.24 ( ~ class_Rings_Olinordered__ring(X0)
% 10.90/11.24 | ~ 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)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16256]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3623,plain,
% 10.90/11.24 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 10.90/11.24 | ~ 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)) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5612_3) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16154,plain,
% 10.90/11.24 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 10.90/11.24 | ~ 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)) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3623]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16155,plain,
% 10.90/11.24 ( ~ 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))
% 10.90/11.24 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16154]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3610,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5617_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16128,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3610]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16129,plain,
% 10.90/11.24 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.24 | 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)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16128]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3608,plain,
% 10.90/11.24 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 10.90/11.24 | ~ 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)) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5618_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16124,plain,
% 10.90/11.24 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 10.90/11.24 | ~ 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)) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3608]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16125,plain,
% 10.90/11.24 ( ~ 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))
% 10.90/11.24 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16124]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3603,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_Rings_Oring__1(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5620_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16114,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_Rings_Oring__1(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3603]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16115,plain,
% 10.90/11.24 ( ~ class_Rings_Oring__1(X0)
% 10.90/11.24 | 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) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16114]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3600,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.24 | ~ class_Groups_Omonoid__mult(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5621_2) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16108,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.24 | ~ class_Groups_Omonoid__mult(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3600]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16109,plain,
% 10.90/11.24 ( ~ class_Groups_Omonoid__mult(X0)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.24 | 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) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16108]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3573,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.24 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5630_2) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16054,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.24 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3573]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16055,plain,
% 10.90/11.24 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.24 | 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)))
% 10.90/11.24 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16054]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3570,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.24 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5631_2) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16048,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 10.90/11.24 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3570]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16049,plain,
% 10.90/11.24 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.24 | 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)))
% 10.90/11.24 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16048]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3568,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ class_Rings_Olinordered__ring(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5632_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16044,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ class_Rings_Olinordered__ring(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3568]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16045,plain,
% 10.90/11.24 ( ~ class_Rings_Olinordered__ring(X0)
% 10.90/11.24 | 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))) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16044]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3566,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5633_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16040,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3566]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16041,plain,
% 10.90/11.24 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.24 | 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))) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16040]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3550,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5639_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16008,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3550]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16009,plain,
% 10.90/11.24 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.24 | 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))) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16008]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3548,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5640_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16004,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3548]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16005,plain,
% 10.90/11.24 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.24 | 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)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16004]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3546,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5641_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16000,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3546]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_16001,plain,
% 10.90/11.24 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.24 | 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)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_16000]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3536,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X2),X4)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X3)
% 10.90/11.24 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5644_3) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15980,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X2),X4)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X3)
% 10.90/11.24 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3536]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15981,plain,
% 10.90/11.24 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.24 | 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X2),X4)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X3) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15980]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3526,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.24 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5647_3) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15960,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.24 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3526]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15961,plain,
% 10.90/11.24 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.24 | 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15960]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3524,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5648_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15956,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3524]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3522,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ class_Groups_Oab__group__add(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5649_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15952,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ class_Groups_Oab__group__add(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3522]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15953,plain,
% 10.90/11.24 ( ~ class_Groups_Oab__group__add(X0)
% 10.90/11.24 | 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)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15952]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3514,plain,
% 10.90/11.24 ( ~ 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.24 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5653_0) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15936,plain,
% 10.90/11.24 ( ~ 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.24 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3514]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3513,plain,
% 10.90/11.24 ( ~ 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.24 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5653_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15934,plain,
% 10.90/11.24 ( ~ 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.24 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3513]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3511,plain,
% 10.90/11.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.24 | ~ 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)) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5653_3) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15930,plain,
% 10.90/11.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.24 | ~ 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)) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3511]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15931,plain,
% 10.90/11.24 ( ~ 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))
% 10.90/11.24 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15930]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3471,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5660_3) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15850,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3471]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15851,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.24 | 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15850]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3467,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5661_3) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15842,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3467]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15843,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.24 | 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15842]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3462,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5663_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15832,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3462]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3460,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5664_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15828,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3460]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15829,plain,
% 10.90/11.24 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.24 | 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) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15828]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3458,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5665_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15824,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3458]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15825,plain,
% 10.90/11.24 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 10.90/11.24 | 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) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15824]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3456,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5666_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15820,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3456]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15821,plain,
% 10.90/11.24 ( ~ class_Rings_Ocomm__semiring(X0)
% 10.90/11.24 | 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) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15820]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3452,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5668_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15812,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3452]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15813,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.24 | 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) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15812]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3448,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5670_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15804,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3448]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15805,plain,
% 10.90/11.24 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.24 | 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) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15804]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3428,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ class_Rings_Oring__1(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5677_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15764,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ class_Rings_Oring__1(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3428]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15765,plain,
% 10.90/11.24 ( ~ class_Rings_Oring__1(X0)
% 10.90/11.24 | 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)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15764]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3425,plain,
% 10.90/11.24 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.24 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sk1_esk16_4(X3,X1,X2,X0))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5678_2) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15758,plain,
% 10.90/11.24 ( c_SEQ_OBseq(X0,X1)
% 10.90/11.24 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sk1_esk16_4(X3,X1,X2,X0))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3425]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15759,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.24 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,sk1_esk16_4(X2,X3,X1,X0))
% 10.90/11.24 | c_SEQ_OBseq(X0,X3) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15758]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3422,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.24 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5679_2) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15752,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.24 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3422]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15753,plain,
% 10.90/11.24 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.24 | 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))) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15752]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3418,plain,
% 10.90/11.24 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.24 | ~ 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))
% 10.90/11.24 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5680_3) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15744,plain,
% 10.90/11.24 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.24 | ~ 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))
% 10.90/11.24 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3418]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15745,plain,
% 10.90/11.24 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.24 | ~ 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))
% 10.90/11.24 | c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15744]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3414,plain,
% 10.90/11.24 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.24 | ~ 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))
% 10.90/11.24 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5681_3) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15736,plain,
% 10.90/11.24 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.24 | ~ 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))
% 10.90/11.24 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3414]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15737,plain,
% 10.90/11.24 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.24 | ~ 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))
% 10.90/11.24 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15736]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3370,plain,
% 10.90/11.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.24 | ~ class_Rings_Olinordered__semidom(X2)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 10.90/11.24 | ~ 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)) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5692_3) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15648,plain,
% 10.90/11.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.24 | ~ class_Rings_Olinordered__semidom(X2)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 10.90/11.24 | ~ 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)) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3370]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15649,plain,
% 10.90/11.24 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.24 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.24 | ~ 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15648]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3360,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5695_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15628,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3360]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15629,plain,
% 10.90/11.24 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.24 | 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))) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15628]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3355,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5697_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15618,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3355]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15619,plain,
% 10.90/11.24 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.24 | 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))) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15618]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3353,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5698_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15614,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3353]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15615,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.24 | 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))) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15614]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3351,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5699_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15610,plain,
% 10.90/11.24 ( 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)
% 10.90/11.24 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3351]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15611,plain,
% 10.90/11.24 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.24 | 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) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15610]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3349,plain,
% 10.90/11.24 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.24 | 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)))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5700_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15606,plain,
% 10.90/11.24 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.24 | 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)))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3349]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15607,plain,
% 10.90/11.24 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.24 | 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))) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15606]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3343,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
% 10.90/11.24 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5704_4) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15594,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
% 10.90/11.24 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3343]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15595,plain,
% 10.90/11.24 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.24 | 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Oone__class_Oone(X0)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15594]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3338,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 10.90/11.24 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5705_4) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15584,plain,
% 10.90/11.24 ( 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oone__class_Oone(X0))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
% 10.90/11.24 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3338]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15585,plain,
% 10.90/11.24 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.24 | 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))
% 10.90/11.24 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,c_Groups_Oone__class_Oone(X0)) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15584]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3315,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5711_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15538,plain,
% 10.90/11.24 ( 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)))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3315]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15539,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.24 | 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))) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15538]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3313,plain,
% 10.90/11.24 ( 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_esk58_2(X1,X0)))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5712_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15534,plain,
% 10.90/11.24 ( 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_esk58_2(X1,X0)))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3313]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15535,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.24 | 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_esk58_2(X1,X0))) ),
% 10.90/11.24 inference(rewriting,[status(thm)],[c_15534]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_3311,plain,
% 10.90/11.24 ( 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_esk38_2(X1,X0)))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5713_1) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15530,plain,
% 10.90/11.24 ( 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_esk38_2(X1,X0)))
% 10.90/11.24 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.24 inference(copy,[status(esa)],[c_3311]) ).
% 10.90/11.24
% 10.90/11.24 cnf(c_15531,plain,
% 10.90/11.24 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.24 | 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_esk38_2(X1,X0))) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15530]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3309,plain,
% 10.90/11.25 ( 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_esk37_2(X2,X0)))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5714_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15526,plain,
% 10.90/11.25 ( 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_esk37_2(X2,X0)))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3309]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15527,plain,
% 10.90/11.25 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.25 | 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_esk37_2(X2,X0))) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15526]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3307,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5715_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15522,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3307]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15523,plain,
% 10.90/11.25 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.25 | 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))) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15522]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3305,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5716_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15518,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3305]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15519,plain,
% 10.90/11.25 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.25 | 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))) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15518]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3301,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5718_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15510,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3301]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15511,plain,
% 10.90/11.25 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.25 | 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) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15510]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3275,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5725_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15458,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3275]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15459,plain,
% 10.90/11.25 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.25 | 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) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15458]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3271,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5727_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15450,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3271]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15451,plain,
% 10.90/11.25 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15450]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3269,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5728_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15446,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3269]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15447,plain,
% 10.90/11.25 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15446]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3267,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5729_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15442,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3267]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15443,plain,
% 10.90/11.25 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.25 | 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) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15442]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3264,plain,
% 10.90/11.25 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.25 | hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk29_2(X1,X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 10.90/11.25 | ~ hBOOL(hAPP(X0,X1)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5731_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15436,plain,
% 10.90/11.25 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.25 | hBOOL(hAPP(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),sk1_esk29_2(X1,X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 10.90/11.25 | ~ hBOOL(hAPP(X0,X1)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3264]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3256,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5733_3) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15420,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3256]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3254,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5734_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15416,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3254]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15417,plain,
% 10.90/11.25 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.25 | 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))) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15416]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3252,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5735_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15412,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3252]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15413,plain,
% 10.90/11.25 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.25 | 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))) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15412]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3243,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5738_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15394,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3243]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15395,plain,
% 10.90/11.25 ( ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15394]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3240,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5739_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15388,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3240]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15389,plain,
% 10.90/11.25 ( ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15388]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3237,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5740_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15382,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3237]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15383,plain,
% 10.90/11.25 ( ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15382]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3234,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5741_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15376,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3234]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15377,plain,
% 10.90/11.25 ( ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15376]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3228,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5743_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15364,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3228]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15365,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.25 | ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15364]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3226,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Groups_Omonoid__mult(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5744_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15360,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Groups_Omonoid__mult(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3226]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15361,plain,
% 10.90/11.25 ( ~ class_Groups_Omonoid__mult(X0)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15360]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3224,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5745_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15356,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3224]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15357,plain,
% 10.90/11.25 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15356]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3222,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5746_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15352,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3222]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15353,plain,
% 10.90/11.25 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.25 | 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))) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15352]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3220,plain,
% 10.90/11.25 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.25 | 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) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5747_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15348,plain,
% 10.90/11.25 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.25 | 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) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3220]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15349,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15348]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3218,plain,
% 10.90/11.25 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.25 | 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) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5748_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15344,plain,
% 10.90/11.25 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.25 | 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) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3218]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15345,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15344]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3215,plain,
% 10.90/11.25 ( c_RComplete_Onatfloor(X0) = X1
% 10.90/11.25 | ~ 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)))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5749_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15338,plain,
% 10.90/11.25 ( c_RComplete_Onatfloor(X0) = X1
% 10.90/11.25 | ~ 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)))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3215]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15339,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1)
% 10.90/11.25 | ~ 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)))
% 10.90/11.25 | c_RComplete_Onatfloor(X1) = X0 ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15338]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3208,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5751_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15324,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3208]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15325,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | 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))) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15324]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3206,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5752_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15320,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3206]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15321,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | 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) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15320]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3204,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5753_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15316,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3204]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15317,plain,
% 10.90/11.25 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.25 | 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))) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15316]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3202,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5754_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15312,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3202]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15313,plain,
% 10.90/11.25 ( ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15312]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3200,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5755_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15308,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3200]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15309,plain,
% 10.90/11.25 ( ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15308]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3194,plain,
% 10.90/11.25 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.25 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5757_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15296,plain,
% 10.90/11.25 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.25 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3194]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15297,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.25 | ~ hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15296]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3192,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5760_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15292,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3192]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15293,plain,
% 10.90/11.25 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15292]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3190,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | 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)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5761_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15288,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | 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)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3190]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15289,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.25 | 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) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15288]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3185,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5763_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15278,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3185]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15279,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | 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) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15278]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3173,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.25 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5767_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15254,plain,
% 10.90/11.25 ( 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)))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.25 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3173]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15255,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.25 | 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)))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15254]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3160,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.25 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5771_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15228,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.25 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3160]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15229,plain,
% 10.90/11.25 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.25 | ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15228]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3157,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.25 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5772_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15222,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.25 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3157]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15223,plain,
% 10.90/11.25 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.25 | ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15222]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3148,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.25 | ~ 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))
% 10.90/11.25 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5775_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15204,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.25 | ~ 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))
% 10.90/11.25 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3148]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15205,plain,
% 10.90/11.25 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.25 | ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15204]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3145,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.25 | ~ 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))
% 10.90/11.25 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5776_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15198,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.25 | ~ 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))
% 10.90/11.25 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3145]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15199,plain,
% 10.90/11.25 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 10.90/11.25 | ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15198]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3143,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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))) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5777_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15194,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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))) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3143]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3141,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5778_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15190,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3141]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15191,plain,
% 10.90/11.25 ( ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15190]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3138,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2),X1) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5779_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15184,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2),X1) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3138]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15185,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X2)
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15184]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3129,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5784_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15166,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3129]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15167,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15166]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3124,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5785_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15156,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3124]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15157,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oone__class_Oone(X0)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15156]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3119,plain,
% 10.90/11.25 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.25 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk49_3(X2,X1,X0)) = X1
% 10.90/11.25 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5786_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15146,plain,
% 10.90/11.25 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.25 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk49_3(X2,X1,X0)) = X1
% 10.90/11.25 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3119]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15147,plain,
% 10.90/11.25 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.25 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.25 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk49_3(X2,X1,X0)) = X1 ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15146]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3116,plain,
% 10.90/11.25 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.25 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk48_3(X2,X1,X0)) = X1
% 10.90/11.25 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5787_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15140,plain,
% 10.90/11.25 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.25 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk48_3(X2,X1,X0)) = X1
% 10.90/11.25 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3116]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15141,plain,
% 10.90/11.25 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.25 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 10.90/11.25 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),sk1_esk48_3(X2,X1,X0)) = X1 ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15140]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3064,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5800_3) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15036,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3064]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15037,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.25 | 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15036]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3056,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5802_3) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15020,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3056]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15021,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.25 | 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15020]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3052,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.25 | ~ class_Rings_Oordered__ring(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5803_3) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15012,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.25 | ~ class_Rings_Oordered__ring(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3052]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15013,plain,
% 10.90/11.25 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.25 | 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15012]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3048,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 10.90/11.25 | ~ class_Rings_Oordered__ring(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5804_3) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15004,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 10.90/11.25 | ~ class_Rings_Oordered__ring(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3048]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_15005,plain,
% 10.90/11.25 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.25 | 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_15004]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3020,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5811_3) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14948,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3020]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14949,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14948]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_3016,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 10.90/11.25 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5812_3) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14940,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 10.90/11.25 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_3016]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14941,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X3)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14940]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2988,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5820_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14884,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2988]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14885,plain,
% 10.90/11.25 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.25 | 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) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14884]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2984,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.25 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5821_3) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14876,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.25 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2984]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14877,plain,
% 10.90/11.25 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.25 | 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14876]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2976,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.25 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5823_3) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14860,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.25 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2976]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14861,plain,
% 10.90/11.25 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 10.90/11.25 | 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14860]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2972,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.25 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5824_3) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14852,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.25 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2972]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14853,plain,
% 10.90/11.25 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 10.90/11.25 | 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14852]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2969,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.25 | ~ class_Power_Opower(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5825_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14846,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.25 | ~ class_Power_Opower(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2969]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14847,plain,
% 10.90/11.25 ( ~ class_Power_Opower(X0)
% 10.90/11.25 | 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)
% 10.90/11.25 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14846]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2963,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5827_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14834,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2963]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2956,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5830_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14820,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2956]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14821,plain,
% 10.90/11.25 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14820]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2954,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5831_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14816,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2954]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2952,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5832_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14812,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2952]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2950,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5833_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14808,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2950]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2949,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.25 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5834_0) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14806,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.25 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2949]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2946,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.25 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5834_3) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14800,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.25 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2946]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14801,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.25 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14800]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2945,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.25 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5835_0) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14798,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.25 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2945]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2942,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 10.90/11.25 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5835_3) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14792,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 10.90/11.25 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2942]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14793,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.25 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14792]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2940,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5836_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14788,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2940]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14789,plain,
% 10.90/11.25 ( ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14788]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2938,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5837_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14784,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2938]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14785,plain,
% 10.90/11.25 ( ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14784]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2936,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5838_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14780,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2936]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14781,plain,
% 10.90/11.25 ( ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14780]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2934,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5839_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14776,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2934]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14777,plain,
% 10.90/11.25 ( ~ 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))
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14776]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2932,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Groups_Oab__semigroup__mult(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5840_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14772,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Groups_Oab__semigroup__mult(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2932]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14773,plain,
% 10.90/11.25 ( ~ class_Groups_Oab__semigroup__mult(X0)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14772]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2928,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5842_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14764,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2928]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14765,plain,
% 10.90/11.25 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14764]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2926,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Groups_Omonoid__mult(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5843_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14760,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Groups_Omonoid__mult(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2926]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14761,plain,
% 10.90/11.25 ( ~ class_Groups_Omonoid__mult(X0)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14760]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2922,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5845_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14752,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2922]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14753,plain,
% 10.90/11.25 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14752]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2920,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Groups_Oab__semigroup__add(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5846_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14748,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Groups_Oab__semigroup__add(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2920]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14749,plain,
% 10.90/11.25 ( ~ class_Groups_Oab__semigroup__add(X0)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14748]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2912,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5848_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14732,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2912]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14733,plain,
% 10.90/11.25 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14732]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2910,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5849_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14728,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2910]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14729,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.25 | 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) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14728]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2908,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5850_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14724,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2908]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14725,plain,
% 10.90/11.25 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14724]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2906,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Groups_Omonoid__mult(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5851_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14720,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Groups_Omonoid__mult(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2906]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14721,plain,
% 10.90/11.25 ( ~ class_Groups_Omonoid__mult(X0)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14720]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2888,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5857_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14684,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2888]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14685,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.25 | 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14684]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2885,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5858_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14678,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2885]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14679,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.25 | 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14678]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2873,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5862_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14654,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2873]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14655,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.25 | 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14654]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2871,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5863_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14650,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2871]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2868,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5864_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14644,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2868]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2862,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5866_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14632,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2862]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2859,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5867_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14626,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2859]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2849,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5871_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14606,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2849]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14607,plain,
% 10.90/11.25 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14606]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2847,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5872_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14602,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2847]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2845,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),X1) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5873_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14598,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),X1) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2845]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14599,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 10.90/11.25 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14598]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2843,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5874_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14594,plain,
% 10.90/11.25 ( 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)
% 10.90/11.25 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2843]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14595,plain,
% 10.90/11.25 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.25 | 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) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14594]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2799,plain,
% 10.90/11.25 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.25 | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5885_2) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14506,plain,
% 10.90/11.25 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.25 | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 10.90/11.25 | ~ 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)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2799]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14507,plain,
% 10.90/11.25 ( ~ 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))
% 10.90/11.25 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.25 | X0 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14506]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2797,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5886_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14502,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2797]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14503,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14502]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2795,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2),X1) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5890_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14498,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2),X1) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2795]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14499,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X2)
% 10.90/11.25 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14498]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2793,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5891_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14494,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2793]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2789,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5894_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14486,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2789]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14487,plain,
% 10.90/11.25 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.25 | 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)) ),
% 10.90/11.25 inference(rewriting,[status(thm)],[c_14486]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2787,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5895_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14482,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2787]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2785,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5896_1) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_14478,plain,
% 10.90/11.25 ( 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))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 10.90/11.25 inference(copy,[status(esa)],[c_2785]) ).
% 10.90/11.25
% 10.90/11.25 cnf(c_2772,plain,
% 10.90/11.25 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2)
% 10.90/11.25 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.25 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5906_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14452,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.26 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2772]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14453,plain,
% 10.90/11.26 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14452]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2768,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5907_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14444,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2768]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14445,plain,
% 10.90/11.26 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14444]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2760,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5909_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14428,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2760]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14429,plain,
% 10.90/11.26 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14428]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2756,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5910_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14420,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2756]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14421,plain,
% 10.90/11.26 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14420]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2752,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5911_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14412,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2752]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14413,plain,
% 10.90/11.26 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14412]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2732,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ class_Rings_Oordered__ring(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5916_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14372,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ class_Rings_Oordered__ring(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2732]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14373,plain,
% 10.90/11.26 ( ~ class_Rings_Oordered__ring(X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14372]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2724,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5918_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14356,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2724]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14357,plain,
% 10.90/11.26 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14356]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2720,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5919_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14348,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2720]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14349,plain,
% 10.90/11.26 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14348]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2716,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5920_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14340,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2716]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14341,plain,
% 10.90/11.26 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14340]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2696,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5925_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14300,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2696]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14301,plain,
% 10.90/11.26 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14300]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2688,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5927_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14284,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2688]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14285,plain,
% 10.90/11.26 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14284]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2680,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5929_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14268,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2680]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14269,plain,
% 10.90/11.26 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14268]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2676,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5930_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14260,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2676]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14261,plain,
% 10.90/11.26 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14260]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2672,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5931_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14252,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2672]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14253,plain,
% 10.90/11.26 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14252]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2668,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5932_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14244,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2668]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14245,plain,
% 10.90/11.26 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14244]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2665,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5933_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14238,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2665]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2662,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5934_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14232,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2662]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2650,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.26 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5938_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14208,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.26 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2650]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14209,plain,
% 10.90/11.26 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 10.90/11.26 | 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14208]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2647,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.26 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5939_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14202,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.26 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2647]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14203,plain,
% 10.90/11.26 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 10.90/11.26 | 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14202]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2632,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.26 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5944_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14172,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.26 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2632]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14173,plain,
% 10.90/11.26 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 10.90/11.26 | 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14172]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2629,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.26 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5945_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14166,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.26 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2629]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14167,plain,
% 10.90/11.26 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 10.90/11.26 | 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14166]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2627,plain,
% 10.90/11.26 ( 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)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5946_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14162,plain,
% 10.90/11.26 ( 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)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2627]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14163,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.26 | 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) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14162]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2613,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5951_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14134,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2613]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14135,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14134]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2610,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5952_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14128,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2610]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14129,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14128]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2607,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 10.90/11.26 | ~ 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) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5953_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14122,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 10.90/11.26 | ~ 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) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2607]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14123,plain,
% 10.90/11.26 ( ~ 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)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14122]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2605,plain,
% 10.90/11.26 ( 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)))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5954_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14118,plain,
% 10.90/11.26 ( 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)))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2605]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14119,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.26 | 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))) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14118]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2603,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5955_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14114,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2603]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2599,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5956_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14106,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2599]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14107,plain,
% 10.90/11.26 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14106]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2591,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5958_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14090,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2591]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14091,plain,
% 10.90/11.26 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(X0,X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14090]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2587,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5959_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14082,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2587]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14083,plain,
% 10.90/11.26 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14082]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2583,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5960_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14074,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X3))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 10.90/11.26 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2583]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14075,plain,
% 10.90/11.26 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(X0,X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X1))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14074]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2581,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5961_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14070,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2581]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2579,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5962_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14066,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2579]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2574,plain,
% 10.90/11.26 ( ~ 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5964_0) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14056,plain,
% 10.90/11.26 ( ~ 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2574]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2572,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5964_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14052,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2572]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14053,plain,
% 10.90/11.26 ( ~ 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14052]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2570,plain,
% 10.90/11.26 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X1) = X0
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5965_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14048,plain,
% 10.90/11.26 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X1) = X0
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2570]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14049,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.26 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X0) = X1 ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14048]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2564,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.26 | 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5967_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14036,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.26 | 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2564]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14037,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.26 | 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)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14036]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2561,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5968_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14030,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2561]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14031,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14030]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2556,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5969_3) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14020,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2556]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14021,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Transcendental_Oln(X1))
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14020]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2550,plain,
% 10.90/11.26 ( 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)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5972_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14008,plain,
% 10.90/11.26 ( 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)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2550]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14009,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1)
% 10.90/11.26 | 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) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14008]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2548,plain,
% 10.90/11.26 ( 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)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5973_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14004,plain,
% 10.90/11.26 ( 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)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2548]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_14005,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1)
% 10.90/11.26 | 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) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_14004]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2545,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk66_3(X0,X1,X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5975_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13998,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk66_3(X0,X1,X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2545]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2542,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk53_3(X0,X1,X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5976_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13992,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk53_3(X0,X1,X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2542]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2539,plain,
% 10.90/11.26 ( 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)
% 10.90/11.26 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.26 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5977_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13986,plain,
% 10.90/11.26 ( 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)
% 10.90/11.26 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 10.90/11.26 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2539]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2507,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5990_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13922,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2507]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2504,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5991_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13916,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2504]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2501,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5992_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13910,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2501]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2498,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5993_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13904,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2498]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2495,plain,
% 10.90/11.26 ( 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)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5994_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13898,plain,
% 10.90/11.26 ( 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)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 10.90/11.26 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2495]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13899,plain,
% 10.90/11.26 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | 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) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13898]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2493,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Groups_Omonoid__mult(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5996_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13894,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Groups_Omonoid__mult(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2493]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13895,plain,
% 10.90/11.26 ( ~ class_Groups_Omonoid__mult(X0)
% 10.90/11.26 | 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)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13894]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2491,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5997_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13890,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2491]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13891,plain,
% 10.90/11.26 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.26 | 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)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13890]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2453,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6010_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13814,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2453]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2451,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6011_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13810,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2451]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2449,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6012_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13806,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2449]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2447,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6013_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13802,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2447]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2445,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6014_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13798,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2445]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2443,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6015_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13794,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2443]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2441,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6016_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13790,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2441]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2439,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6017_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13786,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2439]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2437,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6018_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13782,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2437]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2435,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6019_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13778,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2435]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13779,plain,
% 10.90/11.26 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.26 | 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)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13778]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2433,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6020_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13774,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2433]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13775,plain,
% 10.90/11.26 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.26 | 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)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13774]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2431,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0),X1)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6021_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13770,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0),X1)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2431]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13771,plain,
% 10.90/11.26 ( ~ 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13770]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2429,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1))
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6022_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13766,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1))
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2429]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13767,plain,
% 10.90/11.26 ( ~ 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13766]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2427,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0),X1)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6023_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13762,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0),X1)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2427]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13763,plain,
% 10.90/11.26 ( ~ 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13762]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2425,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1))
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6024_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13758,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1))
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2425]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13759,plain,
% 10.90/11.26 ( ~ 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13758]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2423,plain,
% 10.90/11.26 ( 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
% 10.90/11.26 | ~ class_Groups_Ogroup__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6025_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13754,plain,
% 10.90/11.26 ( 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
% 10.90/11.26 | ~ class_Groups_Ogroup__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2423]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13755,plain,
% 10.90/11.26 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.26 | 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 ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13754]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2421,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6027_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13750,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2421]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13751,plain,
% 10.90/11.26 ( ~ 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13750]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2419,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6028_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13746,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2419]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13747,plain,
% 10.90/11.26 ( ~ 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13746]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2417,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 10.90/11.26 | ~ 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))) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6029_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13742,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 10.90/11.26 | ~ 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))) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2417]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13743,plain,
% 10.90/11.26 ( ~ 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)))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13742]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2415,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6030_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13738,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2415]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13739,plain,
% 10.90/11.26 ( ~ 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13738]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2413,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6031_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13734,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2413]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13735,plain,
% 10.90/11.26 ( ~ 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13734]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2411,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6032_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13730,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2411]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13731,plain,
% 10.90/11.26 ( ~ 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13730]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2409,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6041_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13726,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2409]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13727,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.26 | 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)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13726]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2407,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Groups_Oab__group__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6042_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13722,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Groups_Oab__group__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2407]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13723,plain,
% 10.90/11.26 ( ~ class_Groups_Oab__group__add(X0)
% 10.90/11.26 | 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)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13722]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2405,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Groups_Ogroup__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6043_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13718,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Groups_Ogroup__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2405]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13719,plain,
% 10.90/11.26 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.26 | 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)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13718]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2378,plain,
% 10.90/11.26 ( X0 = X1
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 10.90/11.26 | ~ 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))) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6050_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13664,plain,
% 10.90/11.26 ( X0 = X1
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 10.90/11.26 | ~ 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))) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2378]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13665,plain,
% 10.90/11.26 ( ~ 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)))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 10.90/11.26 | X0 = X1 ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13664]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2372,plain,
% 10.90/11.26 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6052_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13652,plain,
% 10.90/11.26 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2372]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13653,plain,
% 10.90/11.26 ( ~ 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.26 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13652]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2370,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6053_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13648,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2370]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2368,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6054_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13644,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2368]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2366,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.26 | ~ 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))) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6056_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13640,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.26 | ~ 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))) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2366]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2364,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 10.90/11.26 | ~ 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) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6057_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13636,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 10.90/11.26 | ~ 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) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2364]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13637,plain,
% 10.90/11.26 ( ~ 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)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13636]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2362,plain,
% 10.90/11.26 ( 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)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6058_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13632,plain,
% 10.90/11.26 ( 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)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2362]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13633,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.26 | 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) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13632]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2360,plain,
% 10.90/11.26 ( 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)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6059_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13628,plain,
% 10.90/11.26 ( 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)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2360]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13629,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.26 | 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) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13628]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2358,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6060_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13624,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2358]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13625,plain,
% 10.90/11.26 ( ~ 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13624]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2356,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6061_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13620,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.26 | ~ 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)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2356]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13621,plain,
% 10.90/11.26 ( ~ 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))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13620]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2352,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Groups_Ominus(X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6063_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13612,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Groups_Ominus(X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2352]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13613,plain,
% 10.90/11.26 ( ~ class_Groups_Ominus(X0)
% 10.90/11.26 | 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)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13612]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2350,plain,
% 10.90/11.26 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_RealVector_Oof__real(X0),X1)),hAPP(c_RealVector_Oof__real(X0),X2)) = hAPP(c_RealVector_Oof__real(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))
% 10.90/11.26 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6066_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13608,plain,
% 10.90/11.26 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_RealVector_Oof__real(X0),X1)),hAPP(c_RealVector_Oof__real(X0),X2)) = hAPP(c_RealVector_Oof__real(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))
% 10.90/11.26 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2350]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13609,plain,
% 10.90/11.26 ( ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.26 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_RealVector_Oof__real(X0),X1)),hAPP(c_RealVector_Oof__real(X0),X2)) = hAPP(c_RealVector_Oof__real(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13608]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2348,plain,
% 10.90/11.26 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_RealVector_Oof__real(X0),X1)),hAPP(c_RealVector_Oof__real(X0),X2)) = hAPP(c_RealVector_Oof__real(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X2))
% 10.90/11.26 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6067_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13604,plain,
% 10.90/11.26 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_RealVector_Oof__real(X0),X1)),hAPP(c_RealVector_Oof__real(X0),X2)) = hAPP(c_RealVector_Oof__real(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X2))
% 10.90/11.26 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2348]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13605,plain,
% 10.90/11.26 ( ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.26 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_RealVector_Oof__real(X0),X1)),hAPP(c_RealVector_Oof__real(X0),X2)) = hAPP(c_RealVector_Oof__real(X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X2)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13604]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2346,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 10.90/11.26 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X3) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6068_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13600,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 10.90/11.26 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X3) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2346]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2343,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6069_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13594,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2343]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13595,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.26 | 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)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13594]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2341,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0),X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6070_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13590,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0),X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2341]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2339,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6071_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13586,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2339]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2337,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0),X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6072_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13582,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0),X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2337]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2335,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6073_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13578,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0)) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2335]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2333,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2),X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6074_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13574,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2),X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2333]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13575,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X2)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13574]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2327,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2),X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6077_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13562,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2),X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2327]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13563,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X2)
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13562]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2325,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0),X1) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6078_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13558,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0),X1) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2325]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13559,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X2)
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13558]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2322,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.26 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6079_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13552,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.26 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2322]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13553,plain,
% 10.90/11.26 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13552]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2315,plain,
% 10.90/11.26 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk56_2(X0,X1)),X1) = X0
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6081_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13538,plain,
% 10.90/11.26 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk56_2(X0,X1)),X1) = X0
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2315]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13539,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.26 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk56_2(X0,X1)),X1) = X0 ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13538]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2312,plain,
% 10.90/11.26 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk55_2(X0,X1)),X1) = X0
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6082_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13532,plain,
% 10.90/11.26 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk55_2(X0,X1)),X1) = X0
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2312]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13533,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 10.90/11.26 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk55_2(X0,X1)),X1) = X0 ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13532]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2310,plain,
% 10.90/11.26 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X2) = X1
% 10.90/11.26 | ~ class_Groups_Ogroup__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6083_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13528,plain,
% 10.90/11.26 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X2) = X1
% 10.90/11.26 | ~ class_Groups_Ogroup__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2310]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13529,plain,
% 10.90/11.26 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.26 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X2) = X1 ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13528]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2308,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6084_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13524,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2308]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13525,plain,
% 10.90/11.26 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.26 | 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)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13524]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2277,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6095_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13462,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2277]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13463,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13462]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2266,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6098_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13440,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2266]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13441,plain,
% 10.90/11.26 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13440]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2254,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.26 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6102_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13416,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1)
% 10.90/11.26 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2254]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13417,plain,
% 10.90/11.26 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13416]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2251,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6103_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13410,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 10.90/11.26 | ~ class_Rings_Olinordered__semidom(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2251]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13411,plain,
% 10.90/11.26 ( ~ class_Rings_Olinordered__semidom(X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13410]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2243,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Groups_Oab__group__add(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6106_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13394,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Groups_Oab__group__add(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2243]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13395,plain,
% 10.90/11.26 ( ~ class_Groups_Oab__group__add(X0)
% 10.90/11.26 | 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)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13394]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2241,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ class_Rings_Olinordered__ring(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6107_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13390,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 10.90/11.26 | ~ class_Rings_Olinordered__ring(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2241]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13391,plain,
% 10.90/11.26 ( ~ class_Rings_Olinordered__ring(X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13390]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2239,plain,
% 10.90/11.26 ( c_Groups_Ominus__class_Ominus(X0,hAPP(c_RealVector_Oof__real(X0),X1),hAPP(c_RealVector_Oof__real(X0),X2)) = hAPP(c_RealVector_Oof__real(X0),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2))
% 10.90/11.26 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6108_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13386,plain,
% 10.90/11.26 ( c_Groups_Ominus__class_Ominus(X0,hAPP(c_RealVector_Oof__real(X0),X1),hAPP(c_RealVector_Oof__real(X0),X2)) = hAPP(c_RealVector_Oof__real(X0),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2))
% 10.90/11.26 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2239]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13387,plain,
% 10.90/11.26 ( ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.26 | c_Groups_Ominus__class_Ominus(X0,hAPP(c_RealVector_Oof__real(X0),X1),hAPP(c_RealVector_Oof__real(X0),X2)) = hAPP(c_RealVector_Oof__real(X0),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13386]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2221,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X0,X1))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6114_2) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13350,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X0,X1))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2221]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2219,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6115_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13346,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1))
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2219]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2211,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Rings_Oring(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6118_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13330,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_Rings_Oring(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2211]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13331,plain,
% 10.90/11.26 ( ~ class_Rings_Oring(X0)
% 10.90/11.26 | 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)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13330]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2207,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6120_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13322,plain,
% 10.90/11.26 ( 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))
% 10.90/11.26 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2207]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13323,plain,
% 10.90/11.26 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 10.90/11.26 | 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)) ),
% 10.90/11.26 inference(rewriting,[status(thm)],[c_13322]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_2205,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(X1)),X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.26 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6121_1) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13318,plain,
% 10.90/11.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(X1)),X0)
% 10.90/11.26 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.26 inference(copy,[status(esa)],[c_2205]) ).
% 10.90/11.26
% 10.90/11.26 cnf(c_13319,plain,
% 10.90/11.26 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(X1)),X0) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13318]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2201,plain,
% 10.90/11.27 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.27 | ~ hBOOL(hAPP(X0,X1))
% 10.90/11.27 | ~ hBOOL(hAPP(X0,X2))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sk1_esk29_2(X1,X0)) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6123_3) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13310,plain,
% 10.90/11.27 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.27 | ~ hBOOL(hAPP(X0,X1))
% 10.90/11.27 | ~ hBOOL(hAPP(X0,X2))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sk1_esk29_2(X1,X0)) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2201]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13311,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk1_esk29_2(X1,X2))
% 10.90/11.27 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 10.90/11.27 | ~ hBOOL(hAPP(X2,X1))
% 10.90/11.27 | ~ hBOOL(hAPP(X2,X0)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13310]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2199,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6124_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13306,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2199]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13307,plain,
% 10.90/11.27 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.27 | 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)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13306]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2197,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6125_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13302,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2197]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13303,plain,
% 10.90/11.27 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 10.90/11.27 | 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)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13302]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2195,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6126_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13298,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2195]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13299,plain,
% 10.90/11.27 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.27 | 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)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13298]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2193,plain,
% 10.90/11.27 ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6127_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13294,plain,
% 10.90/11.27 ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2193]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13295,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.27 | c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X1),X0) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13294]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2191,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6128_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13290,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2191]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13291,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.27 | 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)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13290]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2189,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6129_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13286,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2189]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13287,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.27 | 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)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13286]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2187,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6131_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13282,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2187]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13283,plain,
% 10.90/11.27 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.27 | 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)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13282]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2185,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6132_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13278,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2185]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13279,plain,
% 10.90/11.27 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 10.90/11.27 | 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)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13278]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2183,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6133_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13274,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2183]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13275,plain,
% 10.90/11.27 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 10.90/11.27 | 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)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13274]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2181,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6134_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13270,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2181]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13271,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 10.90/11.27 | 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)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13270]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2179,plain,
% 10.90/11.27 ( 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)))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6135_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13266,plain,
% 10.90/11.27 ( 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)))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2179]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2177,plain,
% 10.90/11.27 ( c_SEQ_Osubseq(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,sk1_esk71_1(X0)),hAPP(X0,c_Nat_OSuc(sk1_esk71_1(X0)))) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6136_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13262,plain,
% 10.90/11.27 ( c_SEQ_Osubseq(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,sk1_esk71_1(X0)),hAPP(X0,c_Nat_OSuc(sk1_esk71_1(X0)))) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2177]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2151,plain,
% 10.90/11.27 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_RealVector_Oof__real(X0),X1)),X2) = hAPP(c_RealVector_Oof__real(X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2))
% 10.90/11.27 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6145_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13210,plain,
% 10.90/11.27 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_RealVector_Oof__real(X0),X1)),X2) = hAPP(c_RealVector_Oof__real(X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2))
% 10.90/11.27 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2151]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13211,plain,
% 10.90/11.27 ( ~ class_RealVector_Oreal__algebra__1(X0)
% 10.90/11.27 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_RealVector_Oof__real(X0),X1)),X2) = hAPP(c_RealVector_Oof__real(X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13210]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2149,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6146_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13206,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2149]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2147,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6147_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13202,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2147]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2145,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6148_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13198,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2145]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2143,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6149_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13194,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2143]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2137,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0)) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6151_2) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13182,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0)) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2137]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13183,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0))
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13182]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2128,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0)) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6154_2) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13164,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0)) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2128]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13165,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13164]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2126,plain,
% 10.90/11.27 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X1
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6155_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13160,plain,
% 10.90/11.27 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X1
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2126]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13161,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.27 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X0 ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13160]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2124,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6156_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13156,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2124]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2122,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6157_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13152,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2122]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2113,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X3,X2))
% 10.90/11.27 | ~ class_Orderings_Oord(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X0),X1,X3) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6160_2) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13134,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X3,X2))
% 10.90/11.27 | ~ class_Orderings_Oord(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X0),X1,X3) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2113]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13135,plain,
% 10.90/11.27 ( ~ class_Orderings_Oord(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X2,X4),hAPP(X3,X4)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13134]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2107,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6163_2) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13122,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2107]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2101,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6165_2) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13110,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2101]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13111,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13110]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2099,plain,
% 10.90/11.27 ( 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
% 10.90/11.27 | ~ class_Groups_Ogroup__add(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6168_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13106,plain,
% 10.90/11.27 ( 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
% 10.90/11.27 | ~ class_Groups_Ogroup__add(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2099]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13107,plain,
% 10.90/11.27 ( ~ class_Groups_Ogroup__add(X0)
% 10.90/11.27 | 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 ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13106]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2096,plain,
% 10.90/11.27 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 10.90/11.27 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(X0,sk1_esk60_1(X0)),hAPP(X0,sk1_esk61_1(X0))) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6170_2) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13100,plain,
% 10.90/11.27 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 10.90/11.27 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(X0,sk1_esk60_1(X0)),hAPP(X0,sk1_esk61_1(X0))) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2096]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13101,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(X0,sk1_esk60_1(X0)),hAPP(X0,sk1_esk61_1(X0)))
% 10.90/11.27 | c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 10.90/11.27 | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13100]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2094,plain,
% 10.90/11.27 ( ~ 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))
% 10.90/11.27 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6171_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13096,plain,
% 10.90/11.27 ( ~ 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))
% 10.90/11.27 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2094]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2089,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6173_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13086,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2089]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2085,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6175_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13078,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2085]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2083,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6176_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13074,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2083]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2081,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6177_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13070,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2081]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2079,plain,
% 10.90/11.27 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6178_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13066,plain,
% 10.90/11.27 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2079]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13067,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.27 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1 ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13066]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2078,plain,
% 10.90/11.27 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6179_0) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13064,plain,
% 10.90/11.27 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2078]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2075,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.27 | ~ class_Orderings_Oorder(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6179_3) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13058,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.27 | ~ class_Orderings_Oorder(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2075]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13059,plain,
% 10.90/11.27 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13058]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2074,plain,
% 10.90/11.27 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6180_0) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13056,plain,
% 10.90/11.27 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2074]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2071,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.27 | ~ class_Orderings_Opreorder(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6180_3) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13050,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.27 | ~ class_Orderings_Opreorder(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2071]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13051,plain,
% 10.90/11.27 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13050]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2062,plain,
% 10.90/11.27 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6183_0) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13032,plain,
% 10.90/11.27 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2062]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2061,plain,
% 10.90/11.27 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6183_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13030,plain,
% 10.90/11.27 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2061]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2059,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.27 | ~ class_Orderings_Opreorder(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6183_3) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13026,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.27 | ~ class_Orderings_Opreorder(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2059]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13027,plain,
% 10.90/11.27 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13026]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2058,plain,
% 10.90/11.27 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6184_0) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13024,plain,
% 10.90/11.27 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2058]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2057,plain,
% 10.90/11.27 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6184_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13022,plain,
% 10.90/11.27 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2057]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2055,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.27 | ~ class_Orderings_Oorder(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6184_3) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13018,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 10.90/11.27 | ~ class_Orderings_Oorder(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2055]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13019,plain,
% 10.90/11.27 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.27 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13018]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2054,plain,
% 10.90/11.27 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6185_0) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13016,plain,
% 10.90/11.27 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2054]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2053,plain,
% 10.90/11.27 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6185_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13014,plain,
% 10.90/11.27 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2053]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2051,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.27 | ~ class_Orderings_Oorder(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6185_3) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13010,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.27 | ~ class_Orderings_Oorder(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2051]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13011,plain,
% 10.90/11.27 ( ~ class_Orderings_Oorder(X0)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13010]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2050,plain,
% 10.90/11.27 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6186_0) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13008,plain,
% 10.90/11.27 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2050]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2049,plain,
% 10.90/11.27 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6186_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13006,plain,
% 10.90/11.27 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2049]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2047,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.27 | ~ class_Orderings_Opreorder(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6186_3) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13002,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 10.90/11.27 | ~ class_Orderings_Opreorder(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2047]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_13003,plain,
% 10.90/11.27 ( ~ class_Orderings_Opreorder(X0)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_13002]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2045,plain,
% 10.90/11.27 ( 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)))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6188_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12998,plain,
% 10.90/11.27 ( 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)))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2045]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12999,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.27 | 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))) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_12998]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2043,plain,
% 10.90/11.27 ( 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)))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6189_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12994,plain,
% 10.90/11.27 ( 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)))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2043]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2039,plain,
% 10.90/11.27 ( 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)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6191_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12986,plain,
% 10.90/11.27 ( 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)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2039]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2037,plain,
% 10.90/11.27 ( 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)
% 10.90/11.27 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6192_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12982,plain,
% 10.90/11.27 ( 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)
% 10.90/11.27 | ~ class_Rings_Olinordered__idom(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2037]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12983,plain,
% 10.90/11.27 ( ~ class_Rings_Olinordered__idom(X0)
% 10.90/11.27 | 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) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_12982]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2031,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6195_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12970,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2031]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2029,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6196_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12966,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2029]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2020,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6200_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12948,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2020]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2018,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6201_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12944,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2018]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2012,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.27 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6203_2) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12932,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.27 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2012]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12933,plain,
% 10.90/11.27 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_12932]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2010,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_Rings_Oring(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6204_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12928,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_Rings_Oring(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2010]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12929,plain,
% 10.90/11.27 ( ~ class_Rings_Oring(X0)
% 10.90/11.27 | 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)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_12928]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_2008,plain,
% 10.90/11.27 ( 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)
% 10.90/11.27 | ~ class_Rings_Oring(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6205_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12924,plain,
% 10.90/11.27 ( 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)
% 10.90/11.27 | ~ class_Rings_Oring(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_2008]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12925,plain,
% 10.90/11.27 ( ~ class_Rings_Oring(X0)
% 10.90/11.27 | 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) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_12924]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1999,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.27 | ~ class_Lattices_Oboolean__algebra(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6210_2) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12906,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.27 | ~ class_Lattices_Oboolean__algebra(X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1999]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12907,plain,
% 10.90/11.27 ( ~ class_Lattices_Oboolean__algebra(X0)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_12906]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1993,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 10.90/11.27 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6212_2) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12894,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 10.90/11.27 | ~ class_Groups_Oordered__ab__group__add(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1993]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12895,plain,
% 10.90/11.27 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X2))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_12894]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1978,plain,
% 10.90/11.27 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6217_2) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12864,plain,
% 10.90/11.27 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1978]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12865,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.27 | c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_12864]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1975,plain,
% 10.90/11.27 ( c_SEQ_Omonoseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6218_2) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12858,plain,
% 10.90/11.27 ( c_SEQ_Omonoseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1975]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12859,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.27 | c_SEQ_Omonoseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_12858]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1972,plain,
% 10.90/11.27 ( c_SEQ_OBseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6219_2) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12852,plain,
% 10.90/11.27 ( c_SEQ_OBseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1972]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12853,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 10.90/11.27 | c_SEQ_OBseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_12852]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1970,plain,
% 10.90/11.27 ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = X0
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6220_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12848,plain,
% 10.90/11.27 ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = X0
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1970]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12849,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 10.90/11.27 | c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = X0 ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_12848]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1968,plain,
% 10.90/11.27 ( 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)
% 10.90/11.27 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6222_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12844,plain,
% 10.90/11.27 ( 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)
% 10.90/11.27 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1968]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12845,plain,
% 10.90/11.27 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 10.90/11.27 | 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) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_12844]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1967,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6223_0) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12842,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1967]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1966,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6223_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12840,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1966]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1965,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6223_2) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12838,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1965]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1964,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6224_0) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12836,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1964]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1963,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6224_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12834,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1963]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1962,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6224_2) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12832,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1962]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1961,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6225_0) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12830,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1961]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1960,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6225_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12828,plain,
% 10.90/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.27 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1960]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1959,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6225_2) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12826,plain,
% 10.90/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
% 10.90/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1959]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1949,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_Power_Opower(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6228_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12806,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_Power_Opower(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1949]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12807,plain,
% 10.90/11.27 ( ~ class_Power_Opower(X0)
% 10.90/11.27 | 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)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_12806]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1945,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6230_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12798,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1945]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12799,plain,
% 10.90/11.27 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 10.90/11.27 | 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)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_12798]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1943,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_Rings_Oring(X0) ),
% 10.90/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6231_1) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12794,plain,
% 10.90/11.27 ( 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))
% 10.90/11.27 | ~ class_Rings_Oring(X0) ),
% 10.90/11.27 inference(copy,[status(esa)],[c_1943]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_12795,plain,
% 10.90/11.27 ( ~ class_Rings_Oring(X0)
% 10.90/11.27 | 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)) ),
% 10.90/11.27 inference(rewriting,[status(thm)],[c_12794]) ).
% 10.90/11.27
% 10.90/11.27 cnf(c_1939,plain,
% 11.04/11.27 ( 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))
% 11.04/11.27 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6233_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12786,plain,
% 11.04/11.27 ( 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))
% 11.04/11.27 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1939]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12787,plain,
% 11.04/11.27 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.04/11.27 | 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)) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12786]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1919,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | ~ class_Lattices_Oab__semigroup__idem__mult(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6248_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12746,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | ~ class_Lattices_Oab__semigroup__idem__mult(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1919]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12747,plain,
% 11.04/11.27 ( ~ class_Lattices_Oab__semigroup__idem__mult(X0)
% 11.04/11.27 | 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) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12746]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1908,plain,
% 11.04/11.27 ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X0,X1)),X2),X3) = hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(X2,X3))
% 11.04/11.27 | ~ class_Groups_Ouminus(X1) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6252_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12724,plain,
% 11.04/11.27 ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X0,X1)),X2),X3) = hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(X2,X3))
% 11.04/11.27 | ~ class_Groups_Ouminus(X1) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1908]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12725,plain,
% 11.04/11.27 ( ~ class_Groups_Ouminus(X0)
% 11.04/11.27 | hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,X0)),X2),X3) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(X2,X3)) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12724]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1906,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6253_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12720,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1906]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12721,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12720]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1904,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6254_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12716,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1904]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12717,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 11.04/11.27 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12716]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1902,plain,
% 11.04/11.27 ( c_SEQ_Osubseq(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,sk1_esk25_1(X0)),hAPP(X0,sk1_esk26_1(X0))) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6255_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12712,plain,
% 11.04/11.27 ( c_SEQ_Osubseq(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,sk1_esk25_1(X0)),hAPP(X0,sk1_esk26_1(X0))) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1902]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1900,plain,
% 11.04/11.27 ( 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)))
% 11.04/11.27 | ~ class_Rings_Olinordered__semidom(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6256_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12708,plain,
% 11.04/11.27 ( 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)))
% 11.04/11.27 | ~ class_Rings_Olinordered__semidom(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1900]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12709,plain,
% 11.04/11.27 ( ~ class_Rings_Olinordered__semidom(X0)
% 11.04/11.27 | 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))) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12708]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1887,plain,
% 11.04/11.27 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 11.04/11.27 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6261_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12682,plain,
% 11.04/11.27 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 11.04/11.27 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1887]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12683,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 11.04/11.27 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X0 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12682]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1868,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1),hAPP(X0,X2))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 11.04/11.27 | ~ c_SEQ_Osubseq(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6269_2) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12644,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1),hAPP(X0,X2))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 11.04/11.27 | ~ c_SEQ_Osubseq(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1868]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12645,plain,
% 11.04/11.27 ( ~ c_SEQ_Osubseq(X0)
% 11.04/11.27 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1),hAPP(X0,X2))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12644]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1836,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6282_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12580,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1836]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12581,plain,
% 11.04/11.27 ( ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.27 | 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) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12580]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1823,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6286_2) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12554,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1823]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12555,plain,
% 11.04/11.27 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12554]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1821,plain,
% 11.04/11.27 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(X0,X2,X1)
% 11.04/11.27 | ~ class_Groups_Oab__group__add(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6287_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12550,plain,
% 11.04/11.27 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(X0,X2,X1)
% 11.04/11.27 | ~ class_Groups_Oab__group__add(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1821]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12551,plain,
% 11.04/11.27 ( ~ class_Groups_Oab__group__add(X0)
% 11.04/11.27 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(X0,X2,X1) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12550]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1813,plain,
% 11.04/11.27 ( X0 = X1
% 11.04/11.27 | 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) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6292_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12534,plain,
% 11.04/11.27 ( X0 = X1
% 11.04/11.27 | 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) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1813]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12535,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | X1 = X2 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12534]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1800,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)) != X0 ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6296_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12508,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)) != X0 ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1800]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1796,plain,
% 11.04/11.27 ( ~ class_Orderings_Olinorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | X1 != X2 ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6297_3) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12500,plain,
% 11.04/11.27 ( ~ class_Orderings_Olinorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | X1 != X2 ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1796]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1794,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6298_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12496,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1794]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1792,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6299_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12492,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1792]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1776,plain,
% 11.04/11.27 ( X0 = X1
% 11.04/11.27 | ~ class_Orderings_Oorder(X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6303_3) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12460,plain,
% 11.04/11.27 ( X0 = X1
% 11.04/11.27 | ~ class_Orderings_Oorder(X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1776]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12461,plain,
% 11.04/11.27 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 11.04/11.27 | X2 = X1 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12460]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1777,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | X1 = X2
% 11.04/11.27 | ~ class_Orderings_Oorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6303_2) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12462,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | X1 = X2
% 11.04/11.27 | ~ class_Orderings_Oorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1777]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12463,plain,
% 11.04/11.27 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 11.04/11.27 | X1 = X2 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12462]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1773,plain,
% 11.04/11.27 ( c_SEQ_OCauchy(X0,X1)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sk1_esk46_3(X1,X0,X2))
% 11.04/11.27 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6304_2) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12454,plain,
% 11.04/11.27 ( c_SEQ_OCauchy(X0,X1)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sk1_esk46_3(X1,X0,X2))
% 11.04/11.27 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1773]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12455,plain,
% 11.04/11.27 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,sk1_esk46_3(X2,X0,X1))
% 11.04/11.27 | c_SEQ_OCauchy(X0,X2) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12454]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1770,plain,
% 11.04/11.27 ( c_SEQ_OCauchy(X0,X1)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sk1_esk47_3(X1,X0,X2))
% 11.04/11.27 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6305_2) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12448,plain,
% 11.04/11.27 ( c_SEQ_OCauchy(X0,X1)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sk1_esk47_3(X1,X0,X2))
% 11.04/11.27 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1770]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12449,plain,
% 11.04/11.27 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,sk1_esk47_3(X2,X0,X1))
% 11.04/11.27 | c_SEQ_OCauchy(X0,X2) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12448]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1768,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0)) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6306_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12444,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0)) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1768]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12445,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0))
% 11.04/11.27 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12444]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1766,plain,
% 11.04/11.27 ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 11.04/11.27 | 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) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6307_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12440,plain,
% 11.04/11.27 ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 11.04/11.27 | 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) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1766]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12441,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12440]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1764,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6308_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12436,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1764]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12437,plain,
% 11.04/11.27 ( ~ class_Rings_Ocomm__ring__1(X0)
% 11.04/11.27 | 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) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12436]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1752,plain,
% 11.04/11.27 ( ~ class_Orderings_Olinorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6312_2) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12412,plain,
% 11.04/11.27 ( ~ class_Orderings_Olinorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1752]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12413,plain,
% 11.04/11.27 ( ~ class_Orderings_Olinorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12412]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1749,plain,
% 11.04/11.27 ( ~ class_Orderings_Olinorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6313_2) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12406,plain,
% 11.04/11.27 ( ~ class_Orderings_Olinorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1749]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1737,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 11.04/11.27 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6317_2) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12382,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 11.04/11.27 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1737]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12383,plain,
% 11.04/11.27 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12382]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1734,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 11.04/11.27 | ~ class_Orderings_Opreorder(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6318_2) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12376,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 11.04/11.27 | ~ class_Orderings_Opreorder(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1734]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12377,plain,
% 11.04/11.27 ( ~ class_Orderings_Opreorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12376]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1732,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6319_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12372,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1732]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12373,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,X1))
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12372]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1730,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_RComplete_Onatfloor(X1))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6320_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12368,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_RComplete_Onatfloor(X1))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1730]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12369,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),X1)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_RComplete_Onatfloor(X1)) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12368]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1728,plain,
% 11.04/11.27 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.27 | X0 = X1
% 11.04/11.27 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6321_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12364,plain,
% 11.04/11.27 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.27 | X0 = X1
% 11.04/11.27 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1728]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12365,plain,
% 11.04/11.27 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.27 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.27 | X0 = X1 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12364]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1725,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,sk1_esk50_1(X0)))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6322_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12358,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,sk1_esk50_1(X0)))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1725]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12359,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 11.04/11.27 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,sk1_esk50_1(X0))) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12358]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1723,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6323_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12354,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1723]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12355,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),X0) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12354]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1718,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Oone__class_Oone(X0)))
% 11.04/11.27 | ~ class_Rings_Olinordered__semidom(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6325_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12344,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Oone__class_Oone(X0)))
% 11.04/11.27 | ~ class_Rings_Olinordered__semidom(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1718]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12345,plain,
% 11.04/11.27 ( ~ class_Rings_Olinordered__semidom(X0)
% 11.04/11.27 | c_Orderings_Oord__class_Oless(X0,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Oone__class_Oone(X0))) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12344]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1706,plain,
% 11.04/11.27 ( X0 = X1
% 11.04/11.27 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X1)
% 11.04/11.27 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6329_2) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12320,plain,
% 11.04/11.27 ( X0 = X1
% 11.04/11.27 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X1)
% 11.04/11.27 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1706]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12321,plain,
% 11.04/11.27 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 11.04/11.27 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)
% 11.04/11.27 | X2 = X3 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12320]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1703,plain,
% 11.04/11.27 ( X0 = X1
% 11.04/11.27 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X1)
% 11.04/11.27 | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6330_2) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12314,plain,
% 11.04/11.27 ( X0 = X1
% 11.04/11.27 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X1)
% 11.04/11.27 | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1703]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12315,plain,
% 11.04/11.27 ( ~ class_Groups_Ocancel__ab__semigroup__add(X0)
% 11.04/11.27 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X3)
% 11.04/11.27 | X2 = X3 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12314]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1700,plain,
% 11.04/11.27 ( X0 = X1
% 11.04/11.27 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X3)
% 11.04/11.27 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6331_2) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12308,plain,
% 11.04/11.27 ( X0 = X1
% 11.04/11.27 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X3)
% 11.04/11.27 | ~ class_Groups_Ocancel__semigroup__add(X2) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1700]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12309,plain,
% 11.04/11.27 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 11.04/11.27 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X3),X2)
% 11.04/11.27 | X1 = X3 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12308]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1696,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1))
% 11.04/11.27 | ~ class_Rings_Olinordered__ring(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6333_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12300,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1))
% 11.04/11.27 | ~ class_Rings_Olinordered__ring(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1696]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12301,plain,
% 11.04/11.27 ( ~ class_Rings_Olinordered__ring(X0)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1)) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12300]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1694,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 11.04/11.27 | X0 = X1
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6334_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12296,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 11.04/11.27 | X0 = X1
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1694]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12297,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
% 11.04/11.27 | X0 = X1 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12296]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1691,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.27 | X0 = X1
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6335_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12290,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.27 | X0 = X1
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1691]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12291,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 11.04/11.27 | X0 = X1 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12290]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1688,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 11.04/11.27 | X0 = X1
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6336_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12284,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 11.04/11.27 | X0 = X1
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1688]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12285,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
% 11.04/11.27 | X0 = X1 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12284]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1679,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6339_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12266,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1679]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1677,plain,
% 11.04/11.27 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),X2) = X1
% 11.04/11.27 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6340_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12262,plain,
% 11.04/11.27 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),X2) = X1
% 11.04/11.27 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1677]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12263,plain,
% 11.04/11.27 ( ~ class_Groups_Ogroup__add(X0)
% 11.04/11.27 | c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2),X2) = X1 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12262]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1672,plain,
% 11.04/11.27 ( 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))
% 11.04/11.27 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6344_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12252,plain,
% 11.04/11.27 ( 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))
% 11.04/11.27 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1672]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12253,plain,
% 11.04/11.27 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.27 | 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)) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12252]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1670,plain,
% 11.04/11.27 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),sk1_esk11_2(X1,X0)) = X1
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6346_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12248,plain,
% 11.04/11.27 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),sk1_esk11_2(X1,X0)) = X1
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1670]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12249,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.27 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),sk1_esk11_2(X1,X0)) = X1 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12248]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1668,plain,
% 11.04/11.27 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),sk1_esk10_2(X1,X0)) = X1
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6347_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12244,plain,
% 11.04/11.27 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),sk1_esk10_2(X1,X0)) = X1
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1668]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12245,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.27 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),sk1_esk10_2(X1,X0)) = X1 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12244]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1666,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6348_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12240,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1666]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1664,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X0)) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6349_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12236,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X0)) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1664]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1662,plain,
% 11.04/11.27 ( 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)))
% 11.04/11.27 | X0 != X1 ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6351_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12232,plain,
% 11.04/11.27 ( 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)))
% 11.04/11.27 | X0 != X1 ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1662]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1658,plain,
% 11.04/11.27 ( 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))
% 11.04/11.27 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6353_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12224,plain,
% 11.04/11.27 ( 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))
% 11.04/11.27 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1658]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1653,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6355_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12214,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1653]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12215,plain,
% 11.04/11.27 ( ~ class_Groups_Ogroup__add(X0)
% 11.04/11.27 | 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) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12214]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1651,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | ~ class_Groups_Oab__group__add(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6356_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12210,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | ~ class_Groups_Oab__group__add(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1651]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12211,plain,
% 11.04/11.27 ( ~ class_Groups_Oab__group__add(X0)
% 11.04/11.27 | 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) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12210]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1649,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6357_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12206,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1649]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12207,plain,
% 11.04/11.27 ( ~ class_Groups_Ogroup__add(X0)
% 11.04/11.27 | 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) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12206]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1647,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6358_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12202,plain,
% 11.04/11.27 ( 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)
% 11.04/11.27 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1647]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12203,plain,
% 11.04/11.27 ( ~ class_Rings_Ocomm__ring__1(X0)
% 11.04/11.27 | 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) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12202]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1639,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 11.04/11.27 | X1 != X3
% 11.04/11.27 | ~ class_Orderings_Oord(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6360_3) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12186,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 11.04/11.27 | X1 != X3
% 11.04/11.27 | ~ class_Orderings_Oord(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1639]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12187,plain,
% 11.04/11.27 ( ~ class_Orderings_Oord(X0)
% 11.04/11.27 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 11.04/11.27 | X1 != X3 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12186]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1635,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 11.04/11.27 | X2 != X3
% 11.04/11.27 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6361_3) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12178,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 11.04/11.27 | X2 != X3
% 11.04/11.27 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1635]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12179,plain,
% 11.04/11.27 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.27 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 11.04/11.27 | X2 != X3 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12178]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1633,plain,
% 11.04/11.27 ( ~ class_Orderings_Oord(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 11.04/11.27 | X2 != X3 ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6362_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12174,plain,
% 11.04/11.27 ( ~ class_Orderings_Oord(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 11.04/11.27 | X2 != X3 ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1633]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1629,plain,
% 11.04/11.27 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 11.04/11.27 | X1 != X3 ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6363_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12166,plain,
% 11.04/11.27 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.27 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 11.04/11.27 | X1 != X3 ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1629]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1625,plain,
% 11.04/11.27 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 11.04/11.27 | X1 != X3 ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6364_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12158,plain,
% 11.04/11.27 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 11.04/11.27 | X1 != X3 ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1625]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1621,plain,
% 11.04/11.27 ( ~ class_Orderings_Oord(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 11.04/11.27 | X2 != X3 ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6365_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12150,plain,
% 11.04/11.27 ( ~ class_Orderings_Oord(X0)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 11.04/11.27 | X2 != X3 ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1621]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1615,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 11.04/11.27 | X2 != X3
% 11.04/11.27 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6366_3) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12138,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 11.04/11.27 | X2 != X3
% 11.04/11.27 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1615]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12139,plain,
% 11.04/11.27 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 11.04/11.27 | X2 != X3 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12138]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1611,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 11.04/11.27 | X1 != X3
% 11.04/11.27 | ~ class_Orderings_Oord(X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6367_3) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12130,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 11.04/11.27 | X1 != X3
% 11.04/11.27 | ~ class_Orderings_Oord(X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1611]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12131,plain,
% 11.04/11.27 ( ~ class_Orderings_Oord(X0)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 11.04/11.27 | X1 != X3 ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12130]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1604,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 11.04/11.27 | X0 != c_Nat_OSuc(X2) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6369_2) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12116,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 11.04/11.27 | X0 != c_Nat_OSuc(X2) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1604]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1602,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6370_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12112,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1602]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1600,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6371_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12108,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1600]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1598,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6372_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12104,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1598]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12105,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12104]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1596,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X0))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6373_1) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12100,plain,
% 11.04/11.27 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X0))
% 11.04/11.27 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1596]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12101,plain,
% 11.04/11.27 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
% 11.04/11.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X0)) ),
% 11.04/11.27 inference(rewriting,[status(thm)],[c_12100]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_1590,plain,
% 11.04/11.27 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.27 | X1 = X2
% 11.04/11.27 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2) ),
% 11.04/11.27 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6375_2) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12088,plain,
% 11.04/11.27 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.27 | X1 = X2
% 11.04/11.27 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2) ),
% 11.04/11.27 inference(copy,[status(esa)],[c_1590]) ).
% 11.04/11.27
% 11.04/11.27 cnf(c_12089,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = X2 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_12088]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1587,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = X2
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6376_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_12082,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = X2
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1587]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_12083,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X0 = X2 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_12082]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1584,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.28 | X1 = X2
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6377_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_12076,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.28 | X1 = X2
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1584]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_12077,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.28 | X1 = X2 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_12076]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1581,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.28 | X1 = X2
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6378_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_12070,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.28 | X1 = X2
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1581]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_12071,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.28 | X0 = X2 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_12070]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1577,plain,
% 11.04/11.28 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1) = c_Nat__Transfer_Otsub(X0,X1)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6380_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_12062,plain,
% 11.04/11.28 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1) = c_Nat__Transfer_Otsub(X0,X1)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1577]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_12063,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 11.04/11.28 | c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0) = c_Nat__Transfer_Otsub(X1,X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_12062]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1557,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | X2 = X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.28 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6385_3) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_12022,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | X2 = X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.28 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1557]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_12023,plain,
% 11.04/11.28 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | X2 = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_12022]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1541,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | X1 = X2
% 11.04/11.28 | ~ class_Orderings_Oorder(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6389_3) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11990,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | X1 = X2
% 11.04/11.28 | ~ class_Orderings_Oorder(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1541]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11991,plain,
% 11.04/11.28 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | X1 = X2 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11990]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1539,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.28 | 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)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6390_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11986,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.28 | 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)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1539]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11987,plain,
% 11.04/11.28 ( 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))
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11986]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1537,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1))
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6391_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11982,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1))
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1537]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1531,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_RComplete_Onatceiling(X1))
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6393_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11970,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_RComplete_Onatceiling(X1))
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1531]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11971,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_RComplete_Onatceiling(X1)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11970]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1529,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_RComplete_Onatfloor(X1))
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6394_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11966,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_RComplete_Onatfloor(X1))
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1529]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11967,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_RComplete_Onatfloor(X1)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11966]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1517,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.28 | ~ class_Orderings_Opreorder(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6398_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11942,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.28 | ~ class_Orderings_Opreorder(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1517]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11943,plain,
% 11.04/11.28 ( ~ class_Orderings_Opreorder(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11942]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1512,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6400_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11932,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1512]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11933,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X0),X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11932]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1510,plain,
% 11.04/11.28 ( X0 = X1
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6401_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11928,plain,
% 11.04/11.28 ( X0 = X1
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1510]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11929,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)
% 11.04/11.28 | X0 = X2 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11928]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1508,plain,
% 11.04/11.28 ( X0 = X1
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6402_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11924,plain,
% 11.04/11.28 ( X0 = X1
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X0) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1508]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11925,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)
% 11.04/11.28 | X1 = X2 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11924]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1503,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6405_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11914,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1503]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11915,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11914]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1501,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6406_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11910,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1501]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1495,plain,
% 11.04/11.28 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6413_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11898,plain,
% 11.04/11.28 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1495]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11899,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11898]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1493,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6414_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11894,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1493]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11895,plain,
% 11.04/11.28 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11894]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1487,plain,
% 11.04/11.28 ( c_Groups_Osgn__class_Osgn(X0,X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0))
% 11.04/11.28 | ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6416_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11882,plain,
% 11.04/11.28 ( c_Groups_Osgn__class_Osgn(X0,X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0))
% 11.04/11.28 | ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1487]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11883,plain,
% 11.04/11.28 ( ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | c_Groups_Osgn__class_Osgn(X0,X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11882]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1482,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6422_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11872,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1482]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1480,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6423_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11868,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1480]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11869,plain,
% 11.04/11.28 ( ~ class_Groups_Ogroup__add(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11868]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1478,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Groups_Oab__group__add(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6424_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11864,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Groups_Oab__group__add(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1478]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11865,plain,
% 11.04/11.28 ( ~ class_Groups_Oab__group__add(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11864]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1474,plain,
% 11.04/11.28 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6426_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11856,plain,
% 11.04/11.28 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1474]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11857,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11856]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1471,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 11.04/11.28 | X0 = X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6427_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11850,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 11.04/11.28 | X0 = X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1471]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11851,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 11.04/11.28 | X0 = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11850]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1462,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | X0 = X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6430_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11832,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | X0 = X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1462]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11833,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | X0 = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11832]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1456,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 11.04/11.28 | X0 = X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6432_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11820,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 11.04/11.28 | X0 = X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1456]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11821,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 11.04/11.28 | X0 = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11820]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1454,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X1)) = X1
% 11.04/11.28 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6433_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11816,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X1)) = X1
% 11.04/11.28 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1454]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11817,plain,
% 11.04/11.28 ( ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Osgn__class_Osgn(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X1)) = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11816]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1451,plain,
% 11.04/11.28 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6434_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11810,plain,
% 11.04/11.28 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1451]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11811,plain,
% 11.04/11.28 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11810]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1445,plain,
% 11.04/11.28 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6436_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11798,plain,
% 11.04/11.28 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1445]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11799,plain,
% 11.04/11.28 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = c_Groups_Oabs__class_Oabs(X0,X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11798]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1443,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6437_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11794,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1443]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1433,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6442_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11774,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1433]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1429,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6444_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11766,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1429]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1427,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6445_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11762,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1427]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11763,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11762]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1422,plain,
% 11.04/11.28 ( X0 = X1
% 11.04/11.28 | 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) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6453_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11752,plain,
% 11.04/11.28 ( X0 = X1
% 11.04/11.28 | 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) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1422]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11753,plain,
% 11.04/11.28 ( 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)
% 11.04/11.28 | X0 = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11752]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1415,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | c_Nat_OSuc(sk1_esk72_2(X1,X0)) = X0
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6455_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11738,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | c_Nat_OSuc(sk1_esk72_2(X1,X0)) = X0
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1415]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11739,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 11.04/11.28 | c_Nat_OSuc(sk1_esk72_2(X1,X0)) = X0
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11738]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1413,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 11.04/11.28 | ~ 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)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6456_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11734,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 11.04/11.28 | ~ 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)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1413]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11735,plain,
% 11.04/11.28 ( ~ 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))
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11734]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1411,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6457_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11730,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1411]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11731,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11730]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1409,plain,
% 11.04/11.28 ( X0 = X1 | hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6458_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11726,plain,
% 11.04/11.28 ( X0 = X1 | hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1409]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11727,plain,
% 11.04/11.28 ( hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) | X0 = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11726]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1405,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6460_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11718,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1405]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1402,plain,
% 11.04/11.28 ( c_SEQ_Oincseq(X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0))
% 11.04/11.28 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6461_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11712,plain,
% 11.04/11.28 ( c_SEQ_Oincseq(X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0))
% 11.04/11.28 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1402]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11713,plain,
% 11.04/11.28 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0))
% 11.04/11.28 | c_SEQ_Oincseq(X0,X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11712]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1399,plain,
% 11.04/11.28 ( c_SEQ_Odecseq(X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0))
% 11.04/11.28 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6462_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11706,plain,
% 11.04/11.28 ( c_SEQ_Odecseq(X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0))
% 11.04/11.28 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1399]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11707,plain,
% 11.04/11.28 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0))
% 11.04/11.28 | c_SEQ_Odecseq(X0,X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11706]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1396,plain,
% 11.04/11.28 ( c_SEQ_Omonoseq(X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk5_2(X1,X0),sk1_esk6_2(X1,X0))
% 11.04/11.28 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6463_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11700,plain,
% 11.04/11.28 ( c_SEQ_Omonoseq(X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk5_2(X1,X0),sk1_esk6_2(X1,X0))
% 11.04/11.28 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1396]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11701,plain,
% 11.04/11.28 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk5_2(X1,X0),sk1_esk6_2(X1,X0))
% 11.04/11.28 | c_SEQ_Omonoseq(X0,X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11700]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1393,plain,
% 11.04/11.28 ( c_SEQ_Omonoseq(X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk7_2(X1,X0),sk1_esk8_2(X1,X0))
% 11.04/11.28 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6464_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11694,plain,
% 11.04/11.28 ( c_SEQ_Omonoseq(X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk7_2(X1,X0),sk1_esk8_2(X1,X0))
% 11.04/11.28 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1393]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11695,plain,
% 11.04/11.28 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk7_2(X1,X0),sk1_esk8_2(X1,X0))
% 11.04/11.28 | c_SEQ_Omonoseq(X0,X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11694]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1387,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),c_Groups_Oabs__class_Oabs(X0,X1))
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6466_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11682,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),c_Groups_Oabs__class_Oabs(X0,X1))
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1387]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11683,plain,
% 11.04/11.28 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1),c_Groups_Oabs__class_Oabs(X0,X1)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11682]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1385,plain,
% 11.04/11.28 ( c_SEQ_Oconvergent(X0,c_COMBK(X0,tc_Nat_Onat,X1))
% 11.04/11.28 | ~ class_RealVector_Ometric__space(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6468_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11678,plain,
% 11.04/11.28 ( c_SEQ_Oconvergent(X0,c_COMBK(X0,tc_Nat_Onat,X1))
% 11.04/11.28 | ~ class_RealVector_Ometric__space(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1385]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11679,plain,
% 11.04/11.28 ( ~ class_RealVector_Ometric__space(X0)
% 11.04/11.28 | c_SEQ_Oconvergent(X0,c_COMBK(X0,tc_Nat_Onat,X1)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11678]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1380,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1),hAPP(X0,c_Nat_OSuc(X1)))
% 11.04/11.28 | ~ c_SEQ_Osubseq(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6470_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11668,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1),hAPP(X0,c_Nat_OSuc(X1)))
% 11.04/11.28 | ~ c_SEQ_Osubseq(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1380]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11669,plain,
% 11.04/11.28 ( ~ c_SEQ_Osubseq(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1),hAPP(X0,c_Nat_OSuc(X1))) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11668]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1362,plain,
% 11.04/11.28 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Oone__class_Oone(X0)
% 11.04/11.28 | ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6476_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11632,plain,
% 11.04/11.28 ( c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Oone__class_Oone(X0)
% 11.04/11.28 | ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1362]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11633,plain,
% 11.04/11.28 ( ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 11.04/11.28 | c_Groups_Osgn__class_Osgn(X0,X1) = c_Groups_Oone__class_Oone(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11632]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1356,plain,
% 11.04/11.28 ( 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)
% 11.04/11.28 | X1 != X2 ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6482_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11620,plain,
% 11.04/11.28 ( 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)
% 11.04/11.28 | X1 != X2 ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1356]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1328,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | X2 = X1
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 11.04/11.28 | ~ class_Orderings_Olinorder(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6489_3) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11564,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | X2 = X1
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 11.04/11.28 | ~ class_Orderings_Olinorder(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1328]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11565,plain,
% 11.04/11.28 ( ~ class_Orderings_Olinorder(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 11.04/11.28 | X2 = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11564]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1332,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 11.04/11.28 | X2 = X1
% 11.04/11.28 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6488_3) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11572,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 11.04/11.28 | X2 = X1
% 11.04/11.28 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1332]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11573,plain,
% 11.04/11.28 ( ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 11.04/11.28 | X2 = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11572]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1330,plain,
% 11.04/11.28 ( ~ class_Orderings_Olinorder(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 11.04/11.28 | X1 = X2 ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6489_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11568,plain,
% 11.04/11.28 ( ~ class_Orderings_Olinorder(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 11.04/11.28 | X1 = X2 ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1330]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1326,plain,
% 11.04/11.28 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X0) = c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6490_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11560,plain,
% 11.04/11.28 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X0) = c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1326]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11561,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 11.04/11.28 | hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X0) = c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11560]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1319,plain,
% 11.04/11.28 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6493_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11546,plain,
% 11.04/11.28 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1319]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11547,plain,
% 11.04/11.28 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 11.04/11.28 | c_Groups_Oabs__class_Oabs(X0,X1) = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11546]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1316,plain,
% 11.04/11.28 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6494_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11540,plain,
% 11.04/11.28 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1316]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11541,plain,
% 11.04/11.28 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 11.04/11.28 | c_Groups_Oabs__class_Oabs(X0,X1) = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11540]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1314,plain,
% 11.04/11.28 ( hAPP(c_RealVector_Oof__real(X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(c_RealVector_Oof__real(X0),X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6496_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11536,plain,
% 11.04/11.28 ( hAPP(c_RealVector_Oof__real(X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(c_RealVector_Oof__real(X0),X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1314]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11537,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__algebra__1(X0)
% 11.04/11.28 | hAPP(c_RealVector_Oof__real(X0),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(c_RealVector_Oof__real(X0),X1)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11536]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1305,plain,
% 11.04/11.28 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X2
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6499_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11518,plain,
% 11.04/11.28 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X2
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1305]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11519,plain,
% 11.04/11.28 ( ~ class_Groups_Ogroup__add(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) = X2 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11518]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1290,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 11.04/11.28 | ~ class_Orderings_Olinorder(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6504_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11488,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 11.04/11.28 | ~ class_Orderings_Olinorder(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1290]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11489,plain,
% 11.04/11.28 ( ~ class_Orderings_Olinorder(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11488]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1284,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 11.04/11.28 | ~ class_Orderings_Olinorder(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6506_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11476,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 11.04/11.28 | ~ class_Orderings_Olinorder(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1284]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11477,plain,
% 11.04/11.28 ( ~ class_Orderings_Olinorder(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11476]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1271,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 11.04/11.28 | c_Groups_Osgn__class_Osgn(X1,X0) = hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 11.04/11.28 | ~ class_Groups_Osgn__if(X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6511_3) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11450,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 11.04/11.28 | c_Groups_Osgn__class_Osgn(X1,X0) = hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 11.04/11.28 | ~ class_Groups_Osgn__if(X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1271]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11451,plain,
% 11.04/11.28 ( ~ class_Groups_Osgn__if(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 11.04/11.28 | c_Groups_Osgn__class_Osgn(X0,X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Oone__class_Oone(X0))
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11450]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1269,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | ~ class_Rings_Olinordered__semidom(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6513_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11446,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | ~ class_Rings_Olinordered__semidom(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1269]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11447,plain,
% 11.04/11.28 ( ~ class_Rings_Olinordered__semidom(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11446]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1267,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | ~ class_Rings_Olinordered__semidom(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6514_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11442,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | ~ class_Rings_Olinordered__semidom(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1267]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11443,plain,
% 11.04/11.28 ( ~ class_Rings_Olinordered__semidom(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11442]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1253,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)
% 11.04/11.28 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6519_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11414,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)
% 11.04/11.28 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1253]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11415,plain,
% 11.04/11.28 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11414]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1251,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1)
% 11.04/11.28 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6520_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11410,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1)
% 11.04/11.28 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1251]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11411,plain,
% 11.04/11.28 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X2),X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11410]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1249,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 11.04/11.28 | X0 = X1 ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6521_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11406,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 11.04/11.28 | X0 = X1 ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1249]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1242,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 11.04/11.28 | X1 = X0 ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6523_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11392,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 11.04/11.28 | X1 = X0 ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1242]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1239,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 11.04/11.28 | c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6524_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11386,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 11.04/11.28 | c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1239]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11387,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 11.04/11.28 | c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11386]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1231,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6527_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11370,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1231]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11371,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11370]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1229,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6528_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11366,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1229]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1224,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6530_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11356,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1224]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1222,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6531_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11352,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1222]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1213,plain,
% 11.04/11.28 ( ~ class_Rings_Ono__zero__divisors(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6534_0) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11334,plain,
% 11.04/11.28 ( ~ class_Rings_Ono__zero__divisors(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1213]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1210,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 11.04/11.28 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1)
% 11.04/11.28 | ~ class_Rings_Ono__zero__divisors(X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6534_3) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11328,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 11.04/11.28 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1)
% 11.04/11.28 | ~ class_Rings_Ono__zero__divisors(X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1210]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11329,plain,
% 11.04/11.28 ( ~ class_Rings_Ono__zero__divisors(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11328]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1208,plain,
% 11.04/11.28 ( 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))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6535_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11324,plain,
% 11.04/11.28 ( 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))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1208]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11325,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 11.04/11.28 | 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)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11324]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1205,plain,
% 11.04/11.28 ( c_SEQ_OCauchy(X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk45_2(X1,X0))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6536_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11318,plain,
% 11.04/11.28 ( c_SEQ_OCauchy(X0,X1)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk45_2(X1,X0))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1205]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11319,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk45_2(X1,X0))
% 11.04/11.28 | c_SEQ_OCauchy(X0,X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11318]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1203,plain,
% 11.04/11.28 ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X0) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6537_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11314,plain,
% 11.04/11.28 ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X0) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1203]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11315,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 11.04/11.28 | c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X0) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11314]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1198,plain,
% 11.04/11.28 ( c_Groups_Osgn__class_Osgn(X0,hAPP(c_RealVector_Oof__real(X0),X1)) = hAPP(c_RealVector_Oof__real(X0),c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6539_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11304,plain,
% 11.04/11.28 ( c_Groups_Osgn__class_Osgn(X0,hAPP(c_RealVector_Oof__real(X0),X1)) = hAPP(c_RealVector_Oof__real(X0),c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1198]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11305,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 11.04/11.28 | c_Groups_Osgn__class_Osgn(X0,hAPP(c_RealVector_Oof__real(X0),X1)) = hAPP(c_RealVector_Oof__real(X0),c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X1)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11304]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1187,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6543_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11282,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1187]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11283,plain,
% 11.04/11.28 ( ~ class_Groups_Ogroup__add(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11282]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1181,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 11.04/11.28 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1)
% 11.04/11.28 | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6545_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11270,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 11.04/11.28 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1)
% 11.04/11.28 | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1181]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11271,plain,
% 11.04/11.28 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 11.04/11.28 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11270]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1171,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6549_0) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11250,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1171]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1169,plain,
% 11.04/11.28 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6549_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11246,plain,
% 11.04/11.28 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1169]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11247,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11246]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1167,plain,
% 11.04/11.28 ( c_Lim_OisUCont(X0,X0,hAPP(c_Groups_Otimes__class_Otimes(X0),X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6550_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11242,plain,
% 11.04/11.28 ( c_Lim_OisUCont(X0,X0,hAPP(c_Groups_Otimes__class_Otimes(X0),X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1167]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11243,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.04/11.28 | c_Lim_OisUCont(X0,X0,hAPP(c_Groups_Otimes__class_Otimes(X0),X1)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11242]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1165,plain,
% 11.04/11.28 ( c_Nat_OSuc(sk1_esk73_1(X0)) = X0
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6551_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11238,plain,
% 11.04/11.28 ( c_Nat_OSuc(sk1_esk73_1(X0)) = X0
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1165]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11239,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 11.04/11.28 | c_Nat_OSuc(sk1_esk73_1(X0)) = X0 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11238]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1157,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 11.04/11.28 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6554_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11222,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 11.04/11.28 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1157]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11223,plain,
% 11.04/11.28 ( ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11222]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1154,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6555_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11216,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1154]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11217,plain,
% 11.04/11.28 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11216]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1147,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 11.04/11.28 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6559_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11202,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 11.04/11.28 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1147]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1145,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 11.04/11.28 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6560_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11198,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 11.04/11.28 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1145]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1117,plain,
% 11.04/11.28 ( ~ class_Orderings_Olinorder(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | X1 != X2 ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6568_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11142,plain,
% 11.04/11.28 ( ~ class_Orderings_Olinorder(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | X1 != X2 ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1117]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1111,plain,
% 11.04/11.28 ( X0 != X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 11.04/11.28 | ~ class_Orderings_Oorder(X2) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6570_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11130,plain,
% 11.04/11.28 ( X0 != X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 11.04/11.28 | ~ class_Orderings_Oorder(X2) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1111]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11131,plain,
% 11.04/11.28 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | X1 != X2 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11130]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1108,plain,
% 11.04/11.28 ( X0 != X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
% 11.04/11.28 | ~ class_Orderings_Oorder(X2) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6571_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11124,plain,
% 11.04/11.28 ( X0 != X1
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
% 11.04/11.28 | ~ class_Orderings_Oorder(X2) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1108]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11125,plain,
% 11.04/11.28 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 11.04/11.28 | X2 != X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11124]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1093,plain,
% 11.04/11.28 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6576_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11094,plain,
% 11.04/11.28 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1093]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11095,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11094]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1090,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6577_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11088,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1090]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11089,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11088]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1086,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 11.04/11.28 | X1 != X2 ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6579_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11080,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 11.04/11.28 | X1 != X2 ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1086]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1084,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 11.04/11.28 | X0 != X2 ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6580_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11076,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 11.04/11.28 | X0 != X2 ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1084]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1082,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)
% 11.04/11.28 | X0 != X2 ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6581_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11072,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)
% 11.04/11.28 | X0 != X2 ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1082]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1080,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)
% 11.04/11.28 | X1 != X2 ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6582_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11068,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X2)
% 11.04/11.28 | X1 != X2 ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1080]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1078,plain,
% 11.04/11.28 ( c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6583_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11064,plain,
% 11.04/11.28 ( c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1078]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11065,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 11.04/11.28 | c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11064]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1076,plain,
% 11.04/11.28 ( c_RComplete_Onatfloor(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6584_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11060,plain,
% 11.04/11.28 ( c_RComplete_Onatfloor(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1076]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11061,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 11.04/11.28 | c_RComplete_Onatfloor(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11060]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1074,plain,
% 11.04/11.28 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6585_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11056,plain,
% 11.04/11.28 ( X0 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1074]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11057,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.28 | X1 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11056]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1071,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6586_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11050,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1071]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11051,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11050]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1069,plain,
% 11.04/11.28 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6587_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11046,plain,
% 11.04/11.28 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1069]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11047,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 11.04/11.28 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11046]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1067,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6588_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11042,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1067]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11043,plain,
% 11.04/11.28 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11042]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1065,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X1)
% 11.04/11.28 | ~ class_Orderings_Opreorder(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6589_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11038,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X1)
% 11.04/11.28 | ~ class_Orderings_Opreorder(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1065]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11039,plain,
% 11.04/11.28 ( ~ class_Orderings_Opreorder(X0)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(X0,X1,X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11038]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1062,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 11.04/11.28 | 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))
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6590_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11032,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 11.04/11.28 | 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))
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1062]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11033,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 11.04/11.28 | 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))
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11032]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1056,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.28 | 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))
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6592_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11020,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.28 | 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))
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1056]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11021,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 11.04/11.28 | 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))
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11020]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1054,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6593_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11016,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1054]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11017,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11016]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1052,plain,
% 11.04/11.28 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6594_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11012,plain,
% 11.04/11.28 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1052]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11013,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11012]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1050,plain,
% 11.04/11.28 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6595_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11008,plain,
% 11.04/11.28 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1050]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11009,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_11008]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1046,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6603_0) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_11000,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1046]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1044,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6603_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10996,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1044]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10997,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10996]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1042,plain,
% 11.04/11.28 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6605_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10992,plain,
% 11.04/11.28 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1042]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10993,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 11.04/11.28 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10992]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1040,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk59_2(X0,X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6606_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10988,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk59_2(X0,X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1040]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10989,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk59_2(X1,X0)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10988]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1038,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk58_2(X0,X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6607_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10984,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk58_2(X0,X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1038]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10985,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk58_2(X1,X0)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10984]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1036,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk38_2(X0,X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6608_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10980,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk38_2(X0,X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1036]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10981,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk38_2(X1,X0)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10980]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1034,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk37_2(X0,X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6609_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10976,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk37_2(X0,X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1034]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10977,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk37_2(X1,X0)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10976]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1032,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6610_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10972,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1032]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10973,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10972]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1026,plain,
% 11.04/11.28 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)
% 11.04/11.28 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6616_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10960,plain,
% 11.04/11.28 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)
% 11.04/11.28 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1026]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10961,plain,
% 11.04/11.28 ( ~ class_Groups_Ogroup__add(X0)
% 11.04/11.28 | c_Groups_Ominus__class_Ominus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10960]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1024,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oabs__class_Oabs(X0,X1))
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6617_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10956,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oabs__class_Oabs(X0,X1))
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1024]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10957,plain,
% 11.04/11.28 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oabs__class_Oabs(X0,X1)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10956]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1022,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) | X0 != X1 ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6618_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10952,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) | X0 != X1 ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1022]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1014,plain,
% 11.04/11.28 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6622_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10936,plain,
% 11.04/11.28 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1014]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10937,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) | X1 != X0 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10936]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1012,plain,
% 11.04/11.28 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6623_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10932,plain,
% 11.04/11.28 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1012]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10933,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10932]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1010,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) | X0 != X1 ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6624_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10928,plain,
% 11.04/11.28 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) | X0 != X1 ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1010]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1004,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(X1,X0))
% 11.04/11.28 | ~ c_SEQ_Osubseq(X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6626_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10916,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(X1,X0))
% 11.04/11.28 | ~ c_SEQ_Osubseq(X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1004]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10917,plain,
% 11.04/11.28 ( ~ c_SEQ_Osubseq(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,hAPP(X0,X1)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10916]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1002,plain,
% 11.04/11.28 ( 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))
% 11.04/11.28 | X0 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6627_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10912,plain,
% 11.04/11.28 ( 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))
% 11.04/11.28 | X0 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1002]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_1000,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 11.04/11.28 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6628_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10908,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 11.04/11.28 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_1000]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_998,plain,
% 11.04/11.28 ( 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)
% 11.04/11.28 | X0 != X1 ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6631_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10904,plain,
% 11.04/11.28 ( 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)
% 11.04/11.28 | X0 != X1 ),
% 11.04/11.28 inference(copy,[status(esa)],[c_998]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_997,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6632_0) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10902,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_997]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_995,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6632_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10898,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_995]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10899,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10898]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_992,plain,
% 11.04/11.28 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | ~ class_Groups_Oabs__if(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6635_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10892,plain,
% 11.04/11.28 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | ~ class_Groups_Oabs__if(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_992]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10893,plain,
% 11.04/11.28 ( ~ class_Groups_Oabs__if(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 11.04/11.28 | c_Groups_Oabs__class_Oabs(X0,X1) = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10892]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_989,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != X0 ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6636_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10886,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != X0 ),
% 11.04/11.28 inference(copy,[status(esa)],[c_989]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10887,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != X0
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10886]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_983,plain,
% 11.04/11.28 ( X0 = X1
% 11.04/11.28 | hAPP(c_Complex_OIm,X0) != hAPP(c_Complex_OIm,X1)
% 11.04/11.28 | hAPP(c_Complex_ORe,X0) != hAPP(c_Complex_ORe,X1) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6638_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10874,plain,
% 11.04/11.28 ( X0 = X1
% 11.04/11.28 | hAPP(c_Complex_OIm,X0) != hAPP(c_Complex_OIm,X1)
% 11.04/11.28 | hAPP(c_Complex_ORe,X0) != hAPP(c_Complex_ORe,X1) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_983]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10875,plain,
% 11.04/11.28 ( hAPP(c_Complex_ORe,X0) != hAPP(c_Complex_ORe,X1)
% 11.04/11.28 | hAPP(c_Complex_OIm,X0) != hAPP(c_Complex_OIm,X1)
% 11.04/11.28 | X0 = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10874]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_977,plain,
% 11.04/11.28 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6641_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10862,plain,
% 11.04/11.28 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_977]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10863,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 11.04/11.28 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10862]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_975,plain,
% 11.04/11.28 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6642_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10858,plain,
% 11.04/11.28 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_975]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10859,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 11.04/11.28 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10858]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_973,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6643_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10854,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_973]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10855,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10854]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_971,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6644_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10850,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_971]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10851,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10850]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_968,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6645_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10844,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_968]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_966,plain,
% 11.04/11.28 ( c_Power_Opower_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0)) = c_Power_Opower__class_Opower(X0)
% 11.04/11.28 | ~ class_Power_Opower(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6647_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10840,plain,
% 11.04/11.28 ( c_Power_Opower_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0)) = c_Power_Opower__class_Opower(X0)
% 11.04/11.28 | ~ class_Power_Opower(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_966]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10841,plain,
% 11.04/11.28 ( ~ class_Power_Opower(X0)
% 11.04/11.28 | c_Power_Opower_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0)) = c_Power_Opower__class_Opower(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10840]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_964,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) != X1 ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6648_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10836,plain,
% 11.04/11.28 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) != X1 ),
% 11.04/11.28 inference(copy,[status(esa)],[c_964]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10837,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != X0
% 11.04/11.28 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10836]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_962,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.28 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6649_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10832,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.28 | X1 != hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_962]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_954,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Rings_Omult__zero(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6652_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10816,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Rings_Omult__zero(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_954]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10817,plain,
% 11.04/11.28 ( ~ class_Rings_Omult__zero(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10816]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_950,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6654_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10808,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_950]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10809,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10808]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_948,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6655_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10804,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_948]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10805,plain,
% 11.04/11.28 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10804]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_946,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oone__class_Oone(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 11.04/11.28 | ~ class_Groups_Omonoid__mult(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6656_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10800,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oone__class_Oone(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 11.04/11.28 | ~ class_Groups_Omonoid__mult(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_946]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10801,plain,
% 11.04/11.28 ( ~ class_Groups_Omonoid__mult(X0)
% 11.04/11.28 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oone__class_Oone(X0)),X1) = c_Groups_Oone__class_Oone(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10800]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_944,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 11.04/11.28 | ~ class_Rings_Olinordered__semidom(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6658_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10796,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 11.04/11.28 | ~ class_Rings_Olinordered__semidom(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_944]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10797,plain,
% 11.04/11.28 ( ~ class_Rings_Olinordered__semidom(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10796]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_942,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 11.04/11.28 | ~ class_Rings_Olinordered__semidom(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6659_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10792,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 11.04/11.28 | ~ class_Rings_Olinordered__semidom(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_942]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10793,plain,
% 11.04/11.28 ( ~ class_Rings_Olinordered__semidom(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10792]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_937,plain,
% 11.04/11.28 ( c_RealVector_Onorm__class_Onorm(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6661_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10782,plain,
% 11.04/11.28 ( c_RealVector_Onorm__class_Onorm(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_937]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10783,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 11.04/11.28 | c_RealVector_Onorm__class_Onorm(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10782]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_935,plain,
% 11.04/11.28 ( c_Groups_Oabs__class_Oabs(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6662_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10778,plain,
% 11.04/11.28 ( c_Groups_Oabs__class_Oabs(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 11.04/11.28 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_935]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10779,plain,
% 11.04/11.28 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.28 | c_Groups_Oabs__class_Oabs(X0,hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = c_Groups_Oabs__class_Oabs(X0,X1) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10778]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_924,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 11.04/11.28 | ~ class_Groups_Omonoid__mult(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6666_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10756,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 11.04/11.28 | ~ class_Groups_Omonoid__mult(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_924]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10757,plain,
% 11.04/11.28 ( ~ class_Groups_Omonoid__mult(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10756]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_922,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 11.04/11.28 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6667_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10752,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 11.04/11.28 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_922]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10753,plain,
% 11.04/11.28 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10752]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_920,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 11.04/11.28 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6668_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10748,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 11.04/11.28 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_920]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10749,plain,
% 11.04/11.28 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10748]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_918,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1
% 11.04/11.28 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6669_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10744,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1
% 11.04/11.28 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_918]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10745,plain,
% 11.04/11.28 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10744]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_916,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1
% 11.04/11.28 | ~ class_Groups_Omonoid__add(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6670_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10740,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1
% 11.04/11.28 | ~ class_Groups_Omonoid__add(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_916]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10741,plain,
% 11.04/11.28 ( ~ class_Groups_Omonoid__add(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10740]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_914,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1
% 11.04/11.28 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6671_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10736,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1
% 11.04/11.28 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_914]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10737,plain,
% 11.04/11.28 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = X1 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10736]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_905,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6674_2) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10718,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.28 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.28 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_905]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_883,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 11.04/11.28 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6682_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10674,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 11.04/11.28 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_883]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_881,plain,
% 11.04/11.28 ( c_Nat__Transfer_Otsub(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6683_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10670,plain,
% 11.04/11.28 ( c_Nat__Transfer_Otsub(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_881]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10671,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X1)
% 11.04/11.28 | c_Nat__Transfer_Otsub(X1,X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10670]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_879,plain,
% 11.04/11.28 ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) = X0
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6684_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10666,plain,
% 11.04/11.28 ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) = X0
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_879]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10667,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 11.04/11.28 | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) = X0 ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10666]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_877,plain,
% 11.04/11.28 ( c_SEQ_Osubseq(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk25_1(X0),sk1_esk26_1(X0)) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6685_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10662,plain,
% 11.04/11.28 ( c_SEQ_Osubseq(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk25_1(X0),sk1_esk26_1(X0)) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_877]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_871,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk57_1(X0))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6688_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10650,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk57_1(X0))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_871]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10651,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk57_1(X0)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10650]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_869,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk39_1(X0))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6689_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10646,plain,
% 11.04/11.28 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk39_1(X0))
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_869]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10647,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.04/11.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk39_1(X0)) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10646]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_867,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Rings_Omult__zero(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6690_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10642,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_Rings_Omult__zero(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_867]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10643,plain,
% 11.04/11.28 ( ~ class_Rings_Omult__zero(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10642]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_863,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.04/11.28 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6692_1) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10634,plain,
% 11.04/11.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.28 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.04/11.28 inference(copy,[status(esa)],[c_863]) ).
% 11.04/11.28
% 11.04/11.28 cnf(c_10635,plain,
% 11.04/11.28 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.04/11.28 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.28 inference(rewriting,[status(thm)],[c_10634]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_861,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6693_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10630,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_861]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10631,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 11.04/11.29 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10630]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_850,plain,
% 11.04/11.29 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 11.04/11.29 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6697_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10608,plain,
% 11.04/11.29 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 11.04/11.29 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_850]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10609,plain,
% 11.04/11.29 ( ~ class_Groups_Ogroup__add(X0)
% 11.04/11.29 | c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10608]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_845,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 11.04/11.29 | ~ class_Groups_Omonoid__mult(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6699_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10598,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 11.04/11.29 | ~ class_Groups_Omonoid__mult(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_845]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10599,plain,
% 11.04/11.29 ( ~ class_Groups_Omonoid__mult(X0)
% 11.04/11.29 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10598]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_843,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 11.04/11.29 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6700_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10594,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 11.04/11.29 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_843]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10595,plain,
% 11.04/11.29 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 11.04/11.29 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10594]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_841,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6701_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10590,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_841]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10591,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 11.04/11.29 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10590]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_839,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 11.04/11.29 | ~ class_Power_Opower(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6702_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10586,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 11.04/11.29 | ~ class_Power_Opower(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_839]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10587,plain,
% 11.04/11.29 ( ~ class_Power_Opower(X0)
% 11.04/11.29 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10586]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_837,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6703_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10582,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_837]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10583,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 11.04/11.29 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10582]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_835,plain,
% 11.04/11.29 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = X1
% 11.04/11.29 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6704_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10578,plain,
% 11.04/11.29 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = X1
% 11.04/11.29 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_835]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10579,plain,
% 11.04/11.29 ( ~ class_Lattices_Oboolean__algebra(X0)
% 11.04/11.29 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = X1 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10578]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_833,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6705_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10574,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_833]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10575,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 11.04/11.29 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10574]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_831,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1
% 11.04/11.29 | ~ class_Groups_Omonoid__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6706_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10570,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1
% 11.04/11.29 | ~ class_Groups_Omonoid__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_831]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10571,plain,
% 11.04/11.29 ( ~ class_Groups_Omonoid__add(X0)
% 11.04/11.29 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10570]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_829,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1
% 11.04/11.29 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6707_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10566,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1
% 11.04/11.29 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_829]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10567,plain,
% 11.04/11.29 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 11.04/11.29 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10566]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_827,plain,
% 11.04/11.29 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = X1
% 11.04/11.29 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6708_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10562,plain,
% 11.04/11.29 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = X1
% 11.04/11.29 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_827]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10563,plain,
% 11.04/11.29 ( ~ class_Groups_Ogroup__add(X0)
% 11.04/11.29 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),hAPP(c_Groups_Ouminus__class_Ouminus(X0),X1)) = X1 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10562]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_825,plain,
% 11.04/11.29 ( c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6709_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10558,plain,
% 11.04/11.29 ( c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_825]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10559,plain,
% 11.04/11.29 ( ~ class_Groups_Ogroup__add(X0)
% 11.04/11.29 | c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10558]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_819,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.29 | X1 != X2
% 11.04/11.29 | ~ class_Orderings_Opreorder(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6711_2) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10546,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.29 | X1 != X2
% 11.04/11.29 | ~ class_Orderings_Opreorder(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_819]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10547,plain,
% 11.04/11.29 ( ~ class_Orderings_Opreorder(X0)
% 11.04/11.29 | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 11.04/11.29 | X1 != X2 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10546]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_811,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6714_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10530,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_811]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_809,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 11.04/11.29 | X0 != c_Nat_OSuc(X1) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6715_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10526,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 11.04/11.29 | X0 != c_Nat_OSuc(X1) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_809]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_807,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 11.04/11.29 | ~ class_Groups_Omonoid__mult(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6716_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10522,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 11.04/11.29 | ~ class_Groups_Omonoid__mult(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_807]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10523,plain,
% 11.04/11.29 ( ~ class_Groups_Omonoid__mult(X0)
% 11.04/11.29 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10522]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_805,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6717_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10518,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_805]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10519,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 11.04/11.29 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10518]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_803,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6722_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10514,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_803]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_801,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X1)
% 11.04/11.29 | ~ class_Orderings_Opreorder(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6723_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10510,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(X0,X1,X1)
% 11.04/11.29 | ~ class_Orderings_Opreorder(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_801]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10511,plain,
% 11.04/11.29 ( ~ class_Orderings_Opreorder(X0)
% 11.04/11.29 | c_Orderings_Oord__class_Oless__eq(X0,X1,X1) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10510]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_787,plain,
% 11.04/11.29 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Osgn__class_Osgn(X0,X1)
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6729_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10482,plain,
% 11.04/11.29 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Osgn__class_Osgn(X0,X1)
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_787]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10483,plain,
% 11.04/11.29 ( ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.29 | c_Groups_Osgn__class_Osgn(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Osgn__class_Osgn(X0,X1) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10482]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_785,plain,
% 11.04/11.29 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 11.04/11.29 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6730_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10478,plain,
% 11.04/11.29 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 11.04/11.29 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_785]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10479,plain,
% 11.04/11.29 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.29 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10478]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_779,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 11.04/11.29 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 11.04/11.29 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6733_2) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10466,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 11.04/11.29 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 11.04/11.29 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_779]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_776,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.29 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6734_2) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10460,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.29 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_776]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_772,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = X1
% 11.04/11.29 | ~ class_Lattices_Oab__semigroup__idem__mult(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6736_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10452,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = X1
% 11.04/11.29 | ~ class_Lattices_Oab__semigroup__idem__mult(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_772]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10453,plain,
% 11.04/11.29 ( ~ class_Lattices_Oab__semigroup__idem__mult(X0)
% 11.04/11.29 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) = X1 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10452]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_768,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 11.04/11.29 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6738_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10444,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 11.04/11.29 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_768]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_757,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) | X0 != X1 ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6749_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10422,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) | X0 != X1 ),
% 11.04/11.29 inference(copy,[status(esa)],[c_757]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_755,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6750_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10418,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 11.04/11.29 inference(copy,[status(esa)],[c_755]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_752,plain,
% 11.04/11.29 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 11.04/11.29 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6754_2) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10412,plain,
% 11.04/11.29 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 11.04/11.29 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_752]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10413,plain,
% 11.04/11.29 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 11.04/11.29 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Osgn__class_Osgn(X0,X1)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 11.04/11.29 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10412]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_750,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 11.04/11.29 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6761_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10408,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 11.04/11.29 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_750]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_746,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6763_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10400,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_746]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_744,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.29 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6764_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10396,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.29 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_744]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_739,plain,
% 11.04/11.29 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X1,X0) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X2) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6774_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10386,plain,
% 11.04/11.29 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X1,X0) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X2) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_739]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10387,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X2)
% 11.04/11.29 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10386]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_737,plain,
% 11.04/11.29 ( X0 = X1
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X0,X2) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X1) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6776_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10382,plain,
% 11.04/11.29 ( X0 = X1
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X0,X2) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X1) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_737]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10383,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X2)
% 11.04/11.29 | X0 = X2 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10382]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_717,plain,
% 11.04/11.29 ( X0 = X1
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X0,X2) != c_Complex_Ocomplex_OComplex(X1,X3) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6793_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10342,plain,
% 11.04/11.29 ( X0 = X1
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X0,X2) != c_Complex_Ocomplex_OComplex(X1,X3) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_717]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10343,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Ocomplex_OComplex(X2,X3)
% 11.04/11.29 | X0 = X2 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10342]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_715,plain,
% 11.04/11.29 ( X0 = X1
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X2,X0) != c_Complex_Ocomplex_OComplex(X3,X1) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6794_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10338,plain,
% 11.04/11.29 ( X0 = X1
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X2,X0) != c_Complex_Ocomplex_OComplex(X3,X1) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_715]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10339,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Ocomplex_OComplex(X2,X3)
% 11.04/11.29 | X1 = X3 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10338]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_703,plain,
% 11.04/11.29 ( c_SEQ_OCauchy(X0,X1)
% 11.04/11.29 | ~ c_SEQ_Oconvergent(X0,X1)
% 11.04/11.29 | ~ class_RealVector_Ometric__space(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6799_2) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10314,plain,
% 11.04/11.29 ( c_SEQ_OCauchy(X0,X1)
% 11.04/11.29 | ~ c_SEQ_Oconvergent(X0,X1)
% 11.04/11.29 | ~ class_RealVector_Ometric__space(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_703]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10315,plain,
% 11.04/11.29 ( ~ class_RealVector_Ometric__space(X0)
% 11.04/11.29 | c_SEQ_OCauchy(X0,X1)
% 11.04/11.29 | ~ c_SEQ_Oconvergent(X0,X1) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10314]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_697,plain,
% 11.04/11.29 ( c_SEQ_Oconvergent(X0,X1)
% 11.04/11.29 | ~ class_SEQ_Ocomplete__space(X0)
% 11.04/11.29 | ~ c_SEQ_OCauchy(X0,X1) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6801_2) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10302,plain,
% 11.04/11.29 ( c_SEQ_Oconvergent(X0,X1)
% 11.04/11.29 | ~ class_SEQ_Ocomplete__space(X0)
% 11.04/11.29 | ~ c_SEQ_OCauchy(X0,X1) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_697]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10303,plain,
% 11.04/11.29 ( ~ class_SEQ_Ocomplete__space(X0)
% 11.04/11.29 | ~ c_SEQ_OCauchy(X0,X1)
% 11.04/11.29 | c_SEQ_Oconvergent(X0,X1) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10302]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_691,plain,
% 11.04/11.29 ( c_SEQ_Omonoseq(X0,X1)
% 11.04/11.29 | ~ c_SEQ_Odecseq(X0,X1)
% 11.04/11.29 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6803_2) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10290,plain,
% 11.04/11.29 ( c_SEQ_Omonoseq(X0,X1)
% 11.04/11.29 | ~ c_SEQ_Odecseq(X0,X1)
% 11.04/11.29 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_691]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10291,plain,
% 11.04/11.29 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.29 | c_SEQ_Omonoseq(X0,X1)
% 11.04/11.29 | ~ c_SEQ_Odecseq(X0,X1) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10290]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_688,plain,
% 11.04/11.29 ( c_SEQ_Omonoseq(X0,X1)
% 11.04/11.29 | ~ c_SEQ_Oincseq(X0,X1)
% 11.04/11.29 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6804_2) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10284,plain,
% 11.04/11.29 ( c_SEQ_Omonoseq(X0,X1)
% 11.04/11.29 | ~ c_SEQ_Oincseq(X0,X1)
% 11.04/11.29 | ~ class_Orderings_Oorder(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_688]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10285,plain,
% 11.04/11.29 ( ~ class_Orderings_Oorder(X0)
% 11.04/11.29 | c_SEQ_Omonoseq(X0,X1)
% 11.04/11.29 | ~ c_SEQ_Oincseq(X0,X1) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10284]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_685,plain,
% 11.04/11.29 ( c_SEQ_OBseq(X0,X1)
% 11.04/11.29 | ~ c_SEQ_OCauchy(X0,X1)
% 11.04/11.29 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6805_2) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10278,plain,
% 11.04/11.29 ( c_SEQ_OBseq(X0,X1)
% 11.04/11.29 | ~ c_SEQ_OCauchy(X0,X1)
% 11.04/11.29 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_685]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10279,plain,
% 11.04/11.29 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 11.04/11.29 | ~ c_SEQ_OCauchy(X0,X1)
% 11.04/11.29 | c_SEQ_OBseq(X0,X1) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10278]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_680,plain,
% 11.04/11.29 ( X0 = X1
% 11.04/11.29 | c_RealDef_Oreal(tc_Nat_Onat,X0) != c_RealDef_Oreal(tc_Nat_Onat,X1) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6807_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10268,plain,
% 11.04/11.29 ( X0 = X1
% 11.04/11.29 | c_RealDef_Oreal(tc_Nat_Onat,X0) != c_RealDef_Oreal(tc_Nat_Onat,X1) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_680]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10269,plain,
% 11.04/11.29 ( c_RealDef_Oreal(tc_Nat_Onat,X0) != c_RealDef_Oreal(tc_Nat_Onat,X1)
% 11.04/11.29 | X0 = X1 ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10268]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_665,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) = hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X2)
% 11.04/11.29 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | X0 != X2 ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6813_2) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10238,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) = hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X2)
% 11.04/11.29 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | X0 != X2 ),
% 11.04/11.29 inference(copy,[status(esa)],[c_665]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_654,plain,
% 11.04/11.29 ( class_Groups_Ominus(tc_fun(X0,X1)) | ~ class_Groups_Ominus(X1) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6819_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10216,plain,
% 11.04/11.29 ( class_Groups_Ominus(tc_fun(X0,X1)) | ~ class_Groups_Ominus(X1) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_654]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_652,plain,
% 11.04/11.29 ( class_Groups_Ouminus(tc_fun(X0,X1)) | ~ class_Groups_Ouminus(X1) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6820_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10212,plain,
% 11.04/11.29 ( class_Groups_Ouminus(tc_fun(X0,X1)) | ~ class_Groups_Ouminus(X1) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_652]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_650,plain,
% 11.04/11.29 ( class_Orderings_Oord(tc_fun(X0,X1)) | ~ class_Orderings_Oord(X1) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6821_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10208,plain,
% 11.04/11.29 ( class_Orderings_Oord(tc_fun(X0,X1)) | ~ class_Orderings_Oord(X1) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_650]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_648,plain,
% 11.04/11.29 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6822_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10204,plain,
% 11.04/11.29 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_648]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_646,plain,
% 11.04/11.29 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 11.04/11.29 | ~ class_Orderings_Opreorder(X1) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6823_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10200,plain,
% 11.04/11.29 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 11.04/11.29 | ~ class_Orderings_Opreorder(X1) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_646]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_644,plain,
% 11.04/11.29 ( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
% 11.04/11.29 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6824_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10196,plain,
% 11.04/11.29 ( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
% 11.04/11.29 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_644]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_642,plain,
% 11.04/11.29 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6825_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10192,plain,
% 11.04/11.29 ( hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_Groups_Ogroup__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_642]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10193,plain,
% 11.04/11.29 ( ~ class_Groups_Ogroup__add(X0)
% 11.04/11.29 | hAPP(c_Groups_Ouminus__class_Ouminus(X0),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10192]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_630,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Complex_Ocomplex_OComplex(X2,X3)
% 11.04/11.29 | X1 != X3
% 11.04/11.29 | X0 != X2 ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6829_2) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10168,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Complex_Ocomplex_OComplex(X2,X3)
% 11.04/11.29 | X1 != X3
% 11.04/11.29 | X0 != X2 ),
% 11.04/11.29 inference(copy,[status(esa)],[c_630]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_628,plain,
% 11.04/11.29 ( hAPP(c_RealVector_Oof__real(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(X0)
% 11.04/11.29 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6830_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10164,plain,
% 11.04/11.29 ( hAPP(c_RealVector_Oof__real(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(X0)
% 11.04/11.29 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_628]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10165,plain,
% 11.04/11.29 ( ~ class_RealVector_Oreal__algebra__1(X0)
% 11.04/11.29 | hAPP(c_RealVector_Oof__real(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(X0) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10164]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_626,plain,
% 11.04/11.29 ( hAPP(c_RealVector_Oof__real(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6831_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10160,plain,
% 11.04/11.29 ( hAPP(c_RealVector_Oof__real(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_626]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10161,plain,
% 11.04/11.29 ( ~ class_RealVector_Oreal__algebra__1(X0)
% 11.04/11.29 | hAPP(c_RealVector_Oof__real(X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10160]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_612,plain,
% 11.04/11.29 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 11.04/11.29 | ~ c_SEQ_OCauchy(tc_RealDef_Oreal,X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6838_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10132,plain,
% 11.04/11.29 ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X0)
% 11.04/11.29 | ~ c_SEQ_OCauchy(tc_RealDef_Oreal,X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_612]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10133,plain,
% 11.04/11.29 ( ~ c_SEQ_OCauchy(tc_RealDef_Oreal,X0)
% 11.04/11.29 | c_SEQ_Oconvergent(tc_RealDef_Oreal,X0) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10132]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_607,plain,
% 11.04/11.29 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 11.04/11.29 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6841_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10122,plain,
% 11.04/11.29 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 11.04/11.29 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_607]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10123,plain,
% 11.04/11.29 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 11.04/11.29 | c_Groups_Osgn__class_Osgn(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10122]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_605,plain,
% 11.04/11.29 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6842_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10118,plain,
% 11.04/11.29 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_605]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10119,plain,
% 11.04/11.29 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 11.04/11.29 | c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10118]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_603,plain,
% 11.04/11.29 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_Groups_Osgn__if(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6843_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10114,plain,
% 11.04/11.29 ( c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_Groups_Osgn__if(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_603]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10115,plain,
% 11.04/11.29 ( ~ class_Groups_Osgn__if(X0)
% 11.04/11.29 | c_Groups_Osgn__class_Osgn(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10114]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_601,plain,
% 11.04/11.29 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6844_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10110,plain,
% 11.04/11.29 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_601]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10111,plain,
% 11.04/11.29 ( ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.29 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10110]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_599,plain,
% 11.04/11.29 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6845_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10106,plain,
% 11.04/11.29 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 11.04/11.29 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_599]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10107,plain,
% 11.04/11.29 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 11.04/11.29 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10106]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_597,plain,
% 11.04/11.29 ( X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6846_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10102,plain,
% 11.04/11.29 ( X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_597]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10103,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
% 11.04/11.29 | X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10102]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_595,plain,
% 11.04/11.29 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X1,X0) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6847_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10098,plain,
% 11.04/11.29 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X1,X0) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_595]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10099,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
% 11.04/11.29 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10098]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_593,plain,
% 11.04/11.29 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6848_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10094,plain,
% 11.04/11.29 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_593]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10095,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 11.04/11.29 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10094]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_591,plain,
% 11.04/11.29 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6849_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10090,plain,
% 11.04/11.29 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_591]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10091,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 11.04/11.29 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10090]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_589,plain,
% 11.04/11.29 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6850_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10086,plain,
% 11.04/11.29 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_589]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10087,plain,
% 11.04/11.29 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 11.04/11.29 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10086]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_587,plain,
% 11.04/11.29 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 11.04/11.29 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6851_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10082,plain,
% 11.04/11.29 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 11.04/11.29 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_587]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10083,plain,
% 11.04/11.29 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 11.04/11.29 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10082]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_585,plain,
% 11.04/11.29 ( c_RealDef_Oreal(tc_Nat_Onat,X0) = c_RealDef_Oreal(tc_Nat_Onat,X1)
% 11.04/11.29 | X0 != X1 ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6852_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10078,plain,
% 11.04/11.29 ( c_RealDef_Oreal(tc_Nat_Onat,X0) = c_RealDef_Oreal(tc_Nat_Onat,X1)
% 11.04/11.29 | X0 != X1 ),
% 11.04/11.29 inference(copy,[status(esa)],[c_585]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_582,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
% 11.04/11.29 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | X0 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6853_2) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10072,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
% 11.04/11.29 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | X0 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_582]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_579,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 11.04/11.29 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6854_2) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10066,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 11.04/11.29 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_579]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_577,plain,
% 11.04/11.29 ( hAPP(c_Complex_ORe,X0) = hAPP(c_Complex_ORe,X1) | X0 != X1 ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6855_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10062,plain,
% 11.04/11.29 ( hAPP(c_Complex_ORe,X0) = hAPP(c_Complex_ORe,X1) | X0 != X1 ),
% 11.04/11.29 inference(copy,[status(esa)],[c_577]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_575,plain,
% 11.04/11.29 ( hAPP(c_Complex_OIm,X0) = hAPP(c_Complex_OIm,X1) | X0 != X1 ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6856_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10058,plain,
% 11.04/11.29 ( hAPP(c_Complex_OIm,X0) = hAPP(c_Complex_OIm,X1) | X0 != X1 ),
% 11.04/11.29 inference(copy,[status(esa)],[c_575]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_573,plain,
% 11.04/11.29 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.29 | c_RealDef_Oreal(tc_Nat_Onat,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6859_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10054,plain,
% 11.04/11.29 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 11.04/11.29 | c_RealDef_Oreal(tc_Nat_Onat,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_573]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10055,plain,
% 11.04/11.29 ( c_RealDef_Oreal(tc_Nat_Onat,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10054]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_571,plain,
% 11.04/11.29 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Oii ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6861_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10050,plain,
% 11.04/11.29 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Oii ),
% 11.04/11.29 inference(copy,[status(esa)],[c_571]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10051,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Oii
% 11.04/11.29 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10050]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_569,plain,
% 11.04/11.29 ( X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X1,X0) != c_Complex_Oii ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6862_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10046,plain,
% 11.04/11.29 ( X0 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 11.04/11.29 | c_Complex_Ocomplex_OComplex(X1,X0) != c_Complex_Oii ),
% 11.04/11.29 inference(copy,[status(esa)],[c_569]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10047,plain,
% 11.04/11.29 ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Oii
% 11.04/11.29 | X1 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_10046]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_564,plain,
% 11.04/11.29 ( c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6868_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10036,plain,
% 11.04/11.29 ( c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_564]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_562,plain,
% 11.04/11.29 ( c_RealDef_Oreal(tc_Nat_Onat,X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6869_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10032,plain,
% 11.04/11.29 ( c_RealDef_Oreal(tc_Nat_Onat,X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_562]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_558,plain,
% 11.04/11.29 ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6871_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_10024,plain,
% 11.04/11.29 ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 11.04/11.29 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_558]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_542,plain,
% 11.04/11.29 ( c_Groups_Ozero__class_Ozero(X0) != c_Groups_Oone__class_Oone(X0)
% 11.04/11.29 | ~ class_Rings_Ozero__neq__one(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6878_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9992,plain,
% 11.04/11.29 ( c_Groups_Ozero__class_Ozero(X0) != c_Groups_Oone__class_Oone(X0)
% 11.04/11.29 | ~ class_Rings_Ozero__neq__one(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_542]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9993,plain,
% 11.04/11.29 ( ~ class_Rings_Ozero__neq__one(X0)
% 11.04/11.29 | c_Groups_Ozero__class_Ozero(X0) != c_Groups_Oone__class_Oone(X0) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9992]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_540,plain,
% 11.04/11.29 ( class_Groups_Oone(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6886_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9988,plain,
% 11.04/11.29 ( class_Groups_Oone(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_540]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9989,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 11.04/11.29 | class_Groups_Oone(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9988]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_538,plain,
% 11.04/11.29 ( class_Rings_Oidom(tc_Polynomial_Opoly(X0)) | ~ class_Rings_Oidom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6887_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9984,plain,
% 11.04/11.29 ( class_Rings_Oidom(tc_Polynomial_Opoly(X0)) | ~ class_Rings_Oidom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_538]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_536,plain,
% 11.04/11.29 ( class_Rings_Oring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__ring(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6888_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9980,plain,
% 11.04/11.29 ( class_Rings_Oring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__ring(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_536]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9981,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__ring(X0)
% 11.04/11.29 | class_Rings_Oring(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9980]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_534,plain,
% 11.04/11.29 ( class_Groups_Ozero(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Ozero(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6889_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9976,plain,
% 11.04/11.29 ( class_Groups_Ozero(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Ozero(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_534]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_532,plain,
% 11.04/11.29 ( class_Power_Opower(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6890_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9972,plain,
% 11.04/11.29 ( class_Power_Opower(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_532]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9973,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 11.04/11.29 | class_Power_Opower(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9972]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_530,plain,
% 11.04/11.29 ( class_Groups_Ominus(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Oab__group__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6891_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9968,plain,
% 11.04/11.29 ( class_Groups_Ominus(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Oab__group__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_530]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9969,plain,
% 11.04/11.29 ( ~ class_Groups_Oab__group__add(X0)
% 11.04/11.29 | class_Groups_Ominus(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9968]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_528,plain,
% 11.04/11.29 ( class_Rings_Oring__1(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6892_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9964,plain,
% 11.04/11.29 ( class_Rings_Oring__1(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_528]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9965,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__ring__1(X0)
% 11.04/11.29 | class_Rings_Oring__1(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9964]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_526,plain,
% 11.04/11.29 ( class_Groups_Oabs__if(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6893_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9960,plain,
% 11.04/11.29 ( class_Groups_Oabs__if(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_526]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9961,plain,
% 11.04/11.29 ( ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.29 | class_Groups_Oabs__if(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9960]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_524,plain,
% 11.04/11.29 ( class_Groups_Osgn__if(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6894_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9956,plain,
% 11.04/11.29 ( class_Groups_Osgn__if(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_524]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9957,plain,
% 11.04/11.29 ( ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.29 | class_Groups_Osgn__if(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9956]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_522,plain,
% 11.04/11.29 ( class_Groups_Ouminus(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Oab__group__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6895_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9952,plain,
% 11.04/11.29 ( class_Groups_Ouminus(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Oab__group__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_522]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9953,plain,
% 11.04/11.29 ( ~ class_Groups_Oab__group__add(X0)
% 11.04/11.29 | class_Groups_Ouminus(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9952]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_520,plain,
% 11.04/11.29 ( class_Orderings_Oord(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6896_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9948,plain,
% 11.04/11.29 ( class_Orderings_Oord(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_520]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9949,plain,
% 11.04/11.29 ( ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.29 | class_Orderings_Oord(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9948]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_518,plain,
% 11.04/11.29 ( class_Rings_Osemiring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6897_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9944,plain,
% 11.04/11.29 ( class_Rings_Osemiring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_518]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9945,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 11.04/11.29 | class_Rings_Osemiring(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9944]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_516,plain,
% 11.04/11.29 ( class_Orderings_Oorder(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6898_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9940,plain,
% 11.04/11.29 ( class_Orderings_Oorder(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_516]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9941,plain,
% 11.04/11.29 ( ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.29 | class_Orderings_Oorder(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9940]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_514,plain,
% 11.04/11.29 ( class_Rings_Omult__zero(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6899_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9936,plain,
% 11.04/11.29 ( class_Rings_Omult__zero(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_514]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9937,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 11.04/11.29 | class_Rings_Omult__zero(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9936]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_512,plain,
% 11.04/11.29 ( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Oab__group__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6900_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9932,plain,
% 11.04/11.29 ( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Oab__group__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_512]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9933,plain,
% 11.04/11.29 ( ~ class_Groups_Oab__group__add(X0)
% 11.04/11.29 | class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9932]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_510,plain,
% 11.04/11.29 ( class_Rings_Osemiring__0(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6901_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9928,plain,
% 11.04/11.29 ( class_Rings_Osemiring__0(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_510]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9929,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 11.04/11.29 | class_Rings_Osemiring__0(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9928]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_508,plain,
% 11.04/11.29 ( class_Groups_Omonoid__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6902_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9924,plain,
% 11.04/11.29 ( class_Groups_Omonoid__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_508]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9925,plain,
% 11.04/11.29 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 11.04/11.29 | class_Groups_Omonoid__add(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9924]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_506,plain,
% 11.04/11.29 ( class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6903_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9920,plain,
% 11.04/11.29 ( class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_506]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_504,plain,
% 11.04/11.29 ( class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6904_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9916,plain,
% 11.04/11.29 ( class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_504]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9917,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 11.04/11.29 | class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9916]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_502,plain,
% 11.04/11.29 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6905_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9912,plain,
% 11.04/11.29 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_502]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9913,plain,
% 11.04/11.29 ( ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.29 | class_Orderings_Olinorder(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9912]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_500,plain,
% 11.04/11.29 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6906_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9908,plain,
% 11.04/11.29 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_500]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9909,plain,
% 11.04/11.29 ( ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.29 | class_Orderings_Opreorder(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9908]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_498,plain,
% 11.04/11.29 ( class_Rings_Oordered__ring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6907_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9904,plain,
% 11.04/11.29 ( class_Rings_Oordered__ring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_498]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9905,plain,
% 11.04/11.29 ( ~ class_Rings_Olinordered__idom(X0)
% 11.04/11.29 | class_Rings_Oordered__ring(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9904]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_496,plain,
% 11.04/11.29 ( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6908_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9900,plain,
% 11.04/11.29 ( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_496]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9901,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 11.04/11.29 | class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9900]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_494,plain,
% 11.04/11.29 ( class_Groups_Oab__group__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Oab__group__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6909_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9896,plain,
% 11.04/11.29 ( class_Groups_Oab__group__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Oab__group__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_494]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_492,plain,
% 11.04/11.29 ( class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6910_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9892,plain,
% 11.04/11.29 ( class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_492]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9893,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 11.04/11.29 | class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9892]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_490,plain,
% 11.04/11.29 ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6911_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9888,plain,
% 11.04/11.29 ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_490]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_488,plain,
% 11.04/11.29 ( class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6912_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9884,plain,
% 11.04/11.29 ( class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_488]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_486,plain,
% 11.04/11.29 ( class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6913_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9880,plain,
% 11.04/11.29 ( class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_486]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_484,plain,
% 11.04/11.29 ( class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6914_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9876,plain,
% 11.04/11.29 ( class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_484]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_482,plain,
% 11.04/11.29 ( class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Oidom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6915_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9872,plain,
% 11.04/11.29 ( class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Oidom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_482]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_480,plain,
% 11.04/11.29 ( class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6916_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9868,plain,
% 11.04/11.29 ( class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_480]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_478,plain,
% 11.04/11.29 ( class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6917_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9864,plain,
% 11.04/11.29 ( class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_478]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_476,plain,
% 11.04/11.29 ( class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6918_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9860,plain,
% 11.04/11.29 ( class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_476]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_474,plain,
% 11.04/11.29 ( class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6919_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9856,plain,
% 11.04/11.29 ( class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_474]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_472,plain,
% 11.04/11.29 ( class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6920_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9852,plain,
% 11.04/11.29 ( class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_472]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9853,plain,
% 11.04/11.29 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 11.04/11.29 | class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9852]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_470,plain,
% 11.04/11.29 ( class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6921_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9848,plain,
% 11.04/11.29 ( class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_470]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_468,plain,
% 11.04/11.29 ( class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6922_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9844,plain,
% 11.04/11.29 ( class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_468]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_466,plain,
% 11.04/11.29 ( class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6923_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9840,plain,
% 11.04/11.29 ( class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_466]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9841,plain,
% 11.04/11.29 ( ~ class_Groups_Ocancel__comm__monoid__add(X0)
% 11.04/11.29 | class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9840]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_464,plain,
% 11.04/11.29 ( class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6924_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9836,plain,
% 11.04/11.29 ( class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_464]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_462,plain,
% 11.04/11.29 ( class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6925_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9832,plain,
% 11.04/11.29 ( class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_462]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_460,plain,
% 11.04/11.29 ( class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6926_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9828,plain,
% 11.04/11.29 ( class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_460]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_458,plain,
% 11.04/11.29 ( class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Oidom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6927_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9824,plain,
% 11.04/11.29 ( class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Oidom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_458]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_456,plain,
% 11.04/11.29 ( class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6928_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9820,plain,
% 11.04/11.29 ( class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_456]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_454,plain,
% 11.04/11.29 ( class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6929_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9816,plain,
% 11.04/11.29 ( class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_454]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_452,plain,
% 11.04/11.29 ( class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Oidom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6930_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9812,plain,
% 11.04/11.29 ( class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Oidom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_452]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_450,plain,
% 11.04/11.29 ( class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6931_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9808,plain,
% 11.04/11.29 ( class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_450]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9809,plain,
% 11.04/11.29 ( ~ class_Groups_Ocancel__comm__monoid__add(X0)
% 11.04/11.29 | class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 11.04/11.29 inference(rewriting,[status(thm)],[c_9808]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_448,plain,
% 11.04/11.29 ( class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6932_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9804,plain,
% 11.04/11.29 ( class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_448]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_446,plain,
% 11.04/11.29 ( class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6933_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9800,plain,
% 11.04/11.29 ( class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_446]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_444,plain,
% 11.04/11.29 ( class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6934_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9796,plain,
% 11.04/11.29 ( class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_444]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_442,plain,
% 11.04/11.29 ( class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6935_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9792,plain,
% 11.04/11.29 ( class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_442]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_440,plain,
% 11.04/11.29 ( class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6936_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9788,plain,
% 11.04/11.29 ( class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_440]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_438,plain,
% 11.04/11.29 ( class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6937_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9784,plain,
% 11.04/11.29 ( class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_438]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_436,plain,
% 11.04/11.29 ( class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6938_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9780,plain,
% 11.04/11.29 ( class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_436]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_434,plain,
% 11.04/11.29 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6939_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9776,plain,
% 11.04/11.29 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_434]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_432,plain,
% 11.04/11.29 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6940_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9772,plain,
% 11.04/11.29 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Olinordered__idom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_432]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_430,plain,
% 11.04/11.29 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Oidom(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6941_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9768,plain,
% 11.04/11.29 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Oidom(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_430]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_428,plain,
% 11.04/11.29 ( class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__ring(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6942_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9764,plain,
% 11.04/11.29 ( class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__ring(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_428]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_426,plain,
% 11.04/11.29 ( class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6943_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9760,plain,
% 11.04/11.29 ( class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_426]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_424,plain,
% 11.04/11.29 ( class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6944_1) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9756,plain,
% 11.04/11.29 ( class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 11.04/11.29 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_424]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_423,plain,
% 11.04/11.29 ( 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) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5868_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9754,plain,
% 11.04/11.29 ( 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) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_423]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_421,plain,
% 11.04/11.29 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6206_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9750,plain,
% 11.04/11.29 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_421]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_420,plain,
% 11.04/11.29 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X1) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6207_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9748,plain,
% 11.04/11.29 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1),X1) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_420]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_419,plain,
% 11.04/11.29 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6471_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9746,plain,
% 11.04/11.29 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_419]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_416,plain,
% 11.04/11.29 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6614_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9740,plain,
% 11.04/11.29 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_416]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_414,plain,
% 11.04/11.29 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6634_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9736,plain,
% 11.04/11.29 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_414]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_413,plain,
% 11.04/11.29 ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6953_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9734,plain,
% 11.04/11.29 ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_413]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_412,plain,
% 11.04/11.29 ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6954_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9732,plain,
% 11.04/11.29 ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_412]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_411,plain,
% 11.04/11.29 ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6955_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9730,plain,
% 11.04/11.29 ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 11.04/11.29 inference(copy,[status(esa)],[c_411]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_410,plain,
% 11.04/11.29 ( c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6956_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9728,plain,
% 11.04/11.29 ( c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 11.04/11.29 inference(copy,[status(esa)],[c_410]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_409,plain,
% 11.04/11.29 ( 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_esk4_0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5494_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9726,plain,
% 11.04/11.29 ( 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_esk4_0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_409]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_408,plain,
% 11.04/11.29 ( 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)))) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5495_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9724,plain,
% 11.04/11.29 ( 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)))) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_408]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_407,plain,
% 11.04/11.29 ( 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____)))) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5496_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9722,plain,
% 11.04/11.29 ( 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____)))) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_407]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_405,plain,
% 11.04/11.29 ( 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_esk3_0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5514_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9719,plain,
% 11.04/11.29 ( 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_esk3_0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_405]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_404,plain,
% 11.04/11.29 ( 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____))) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5515_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9717,plain,
% 11.04/11.29 ( 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____))) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_404]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_392,plain,
% 11.04/11.29 ( 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))) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5613_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9702,plain,
% 11.04/11.29 ( 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))) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_392]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_389,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5650_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9698,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_389]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_369,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5936_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9677,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_369]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_363,plain,
% 11.04/11.29 ( 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))) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_5995_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9669,plain,
% 11.04/11.29 ( 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))) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_363]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_360,plain,
% 11.04/11.29 ( 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) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6026_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9665,plain,
% 11.04/11.29 ( 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) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_360]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_358,plain,
% 11.04/11.29 ( 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_esk41_0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6034_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9661,plain,
% 11.04/11.29 ( 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_esk41_0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_358]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_357,plain,
% 11.04/11.29 ( 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_esk40_0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6035_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9659,plain,
% 11.04/11.29 ( 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_esk40_0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_357]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_356,plain,
% 11.04/11.29 ( 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_esk35_0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6036_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9657,plain,
% 11.04/11.29 ( 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_esk35_0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_356]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_355,plain,
% 11.04/11.29 ( 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_esk34_0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6037_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9655,plain,
% 11.04/11.29 ( 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_esk34_0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_355]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_354,plain,
% 11.04/11.29 ( 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_esk32_0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6038_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9653,plain,
% 11.04/11.29 ( 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_esk32_0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_354]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_353,plain,
% 11.04/11.29 ( 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_esk31_0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6039_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9651,plain,
% 11.04/11.29 ( 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_esk31_0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_353]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_351,plain,
% 11.04/11.29 ( 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))) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6055_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9648,plain,
% 11.04/11.29 ( 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))) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_351]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_348,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6085_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9644,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_348]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_347,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6086_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9642,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_347]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_343,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0))) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6166_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9637,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0))) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_343]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_342,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1))) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6167_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9635,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1))) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_342]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_341,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6169_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9633,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_341]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_329,plain,
% 11.04/11.29 ( 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))) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6268_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9619,plain,
% 11.04/11.29 ( 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))) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_329]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_323,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Nat_OSuc(X0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6342_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9612,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Nat_OSuc(X0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_323]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_321,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6345_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9609,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_321]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_320,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6350_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9607,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_320]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_313,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6417_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9597,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_313]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_312,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6418_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9595,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_312]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_311,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6419_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9593,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_311]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_309,plain,
% 11.04/11.29 ( 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) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6446_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9590,plain,
% 11.04/11.29 ( 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) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_309]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_298,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0)),v_r) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6481_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9578,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0)),v_r) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_298]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_294,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6556_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9573,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_294]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_292,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6597_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9570,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_292]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_291,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6598_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9568,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_291]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_290,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6599_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9566,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_290]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_289,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6600_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9564,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_289]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_288,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6601_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9562,plain,
% 11.04/11.29 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_288]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_287,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X0))) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6604_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9560,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X0))) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_287]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_286,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X0))) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6615_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9558,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X0))) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_286]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_283,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6646_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9554,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_283]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_280,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6719_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9550,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_280]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_279,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatceiling(X0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6720_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9548,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatceiling(X0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_279]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_278,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(X0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6721_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9546,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(X0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_278]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_275,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X0)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6740_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9542,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X0)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_275]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_274,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6741_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9540,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_274]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_273,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6742_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9538,plain,
% 11.04/11.29 ( 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)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_273]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_272,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6743_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9536,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_272]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_268,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6752_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9530,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_268]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_266,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk35_0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6755_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9527,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk35_0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_266]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_265,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk34_0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6756_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9525,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk34_0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_265]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_264,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk32_0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6757_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9523,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk32_0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_264]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_263,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk31_0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6758_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9521,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk31_0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_263]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_261,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6760_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9518,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_261]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_260,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6766_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9516,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_260]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_254,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6772_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9509,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_254]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_253,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6773_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9507,plain,
% 11.04/11.29 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_253]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_245,plain,
% 11.04/11.29 ( c_Lim_OisUCont(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Complex_OIm) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6788_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9498,plain,
% 11.04/11.29 ( c_Lim_OisUCont(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Complex_OIm) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_245]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_244,plain,
% 11.04/11.29 ( c_Lim_OisUCont(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Complex_ORe) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6789_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9496,plain,
% 11.04/11.29 ( c_Lim_OisUCont(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Complex_ORe) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_244]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_211,plain,
% 11.04/11.29 ( class_Groups_Oone(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6957_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9462,plain,
% 11.04/11.29 ( class_Groups_Oone(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_211]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_210,plain,
% 11.04/11.29 ( class_Rings_Oidom(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6958_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9460,plain,
% 11.04/11.29 ( class_Rings_Oidom(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_210]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_209,plain,
% 11.04/11.29 ( class_Rings_Oring(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6959_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9458,plain,
% 11.04/11.29 ( class_Rings_Oring(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_209]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_208,plain,
% 11.04/11.29 ( class_Groups_Ozero(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6960_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9456,plain,
% 11.04/11.29 ( class_Groups_Ozero(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_208]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_207,plain,
% 11.04/11.29 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6961_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9454,plain,
% 11.04/11.29 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_207]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_206,plain,
% 11.04/11.29 ( class_Groups_Ominus(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6962_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9452,plain,
% 11.04/11.29 ( class_Groups_Ominus(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_206]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_205,plain,
% 11.04/11.29 ( class_Rings_Oring__1(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6963_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9450,plain,
% 11.04/11.29 ( class_Rings_Oring__1(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_205]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_204,plain,
% 11.04/11.29 ( class_Groups_Ouminus(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6964_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9448,plain,
% 11.04/11.29 ( class_Groups_Ouminus(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_204]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_203,plain,
% 11.04/11.29 ( class_Rings_Osemiring(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6965_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9446,plain,
% 11.04/11.29 ( class_Rings_Osemiring(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_203]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_202,plain,
% 11.04/11.29 ( class_Rings_Omult__zero(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6966_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9444,plain,
% 11.04/11.29 ( class_Rings_Omult__zero(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_202]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_201,plain,
% 11.04/11.29 ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6967_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9442,plain,
% 11.04/11.29 ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_201]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_200,plain,
% 11.04/11.29 ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6968_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9440,plain,
% 11.04/11.29 ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_200]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_199,plain,
% 11.04/11.29 ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6969_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9438,plain,
% 11.04/11.29 ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_199]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_198,plain,
% 11.04/11.29 ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6970_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9436,plain,
% 11.04/11.29 ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_198]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_197,plain,
% 11.04/11.29 ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6971_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9434,plain,
% 11.04/11.29 ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_197]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_196,plain,
% 11.04/11.29 ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6972_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9432,plain,
% 11.04/11.29 ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_196]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_195,plain,
% 11.04/11.29 ( class_SEQ_Ocomplete__space(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6973_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9430,plain,
% 11.04/11.29 ( class_SEQ_Ocomplete__space(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_195]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_194,plain,
% 11.04/11.29 ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6974_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9428,plain,
% 11.04/11.29 ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_194]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_193,plain,
% 11.04/11.29 ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6975_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9426,plain,
% 11.04/11.29 ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_193]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_192,plain,
% 11.04/11.29 ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6976_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9424,plain,
% 11.04/11.29 ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_192]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_191,plain,
% 11.04/11.29 ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6977_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9422,plain,
% 11.04/11.29 ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_191]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_190,plain,
% 11.04/11.29 ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6978_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9420,plain,
% 11.04/11.29 ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_190]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_189,plain,
% 11.04/11.29 ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6979_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9418,plain,
% 11.04/11.29 ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_189]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_188,plain,
% 11.04/11.29 ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6980_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9416,plain,
% 11.04/11.29 ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_188]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_187,plain,
% 11.04/11.29 ( class_RealVector_Ometric__space(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6981_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9414,plain,
% 11.04/11.29 ( class_RealVector_Ometric__space(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_187]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_186,plain,
% 11.04/11.29 ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6982_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9412,plain,
% 11.04/11.29 ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_186]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_185,plain,
% 11.04/11.29 ( class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6983_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9410,plain,
% 11.04/11.29 ( class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_185]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_184,plain,
% 11.04/11.29 ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6984_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9408,plain,
% 11.04/11.29 ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_184]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_183,plain,
% 11.04/11.29 ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6985_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9406,plain,
% 11.04/11.29 ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_183]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_182,plain,
% 11.04/11.29 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6986_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9404,plain,
% 11.04/11.29 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_182]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_181,plain,
% 11.04/11.29 ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6987_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9402,plain,
% 11.04/11.29 ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_181]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_180,plain,
% 11.04/11.29 ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6988_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9400,plain,
% 11.04/11.29 ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_180]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_179,plain,
% 11.04/11.29 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6989_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9398,plain,
% 11.04/11.29 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_179]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_178,plain,
% 11.04/11.29 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6990_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9396,plain,
% 11.04/11.29 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_178]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_177,plain,
% 11.04/11.29 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6991_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9394,plain,
% 11.04/11.29 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_177]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_176,plain,
% 11.04/11.29 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6992_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9392,plain,
% 11.04/11.29 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_176]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_175,plain,
% 11.04/11.29 ( class_Groups_Oone(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6993_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9390,plain,
% 11.04/11.29 ( class_Groups_Oone(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_175]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_174,plain,
% 11.04/11.29 ( class_Rings_Oidom(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6994_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9388,plain,
% 11.04/11.29 ( class_Rings_Oidom(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_174]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_173,plain,
% 11.04/11.29 ( class_Rings_Oring(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6995_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9386,plain,
% 11.04/11.29 ( class_Rings_Oring(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_173]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_172,plain,
% 11.04/11.29 ( class_Groups_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6996_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9384,plain,
% 11.04/11.29 ( class_Groups_Ozero(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_172]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_171,plain,
% 11.04/11.29 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6997_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9382,plain,
% 11.04/11.29 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_171]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_170,plain,
% 11.04/11.29 ( class_Groups_Ominus(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6998_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9380,plain,
% 11.04/11.29 ( class_Groups_Ominus(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_170]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_169,plain,
% 11.04/11.29 ( class_Rings_Oring__1(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_6999_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9378,plain,
% 11.04/11.29 ( class_Rings_Oring__1(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_169]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_168,plain,
% 11.04/11.29 ( class_Groups_Oabs__if(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7000_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9376,plain,
% 11.04/11.29 ( class_Groups_Oabs__if(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_168]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_167,plain,
% 11.04/11.29 ( class_Groups_Osgn__if(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7001_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9374,plain,
% 11.04/11.29 ( class_Groups_Osgn__if(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_167]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_166,plain,
% 11.04/11.29 ( class_Groups_Ouminus(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7002_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9372,plain,
% 11.04/11.29 ( class_Groups_Ouminus(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_166]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_165,plain,
% 11.04/11.29 ( class_Orderings_Oord(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7003_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9370,plain,
% 11.04/11.29 ( class_Orderings_Oord(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_165]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_164,plain,
% 11.04/11.29 ( class_Rings_Osemiring(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7004_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9368,plain,
% 11.04/11.29 ( class_Rings_Osemiring(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_164]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_163,plain,
% 11.04/11.29 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7005_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9366,plain,
% 11.04/11.29 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_163]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_162,plain,
% 11.04/11.29 ( class_Rings_Omult__zero(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7006_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9364,plain,
% 11.04/11.29 ( class_Rings_Omult__zero(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_162]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_161,plain,
% 11.04/11.29 ( class_Groups_Ogroup__add(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7007_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9362,plain,
% 11.04/11.29 ( class_Groups_Ogroup__add(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_161]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_160,plain,
% 11.04/11.29 ( class_Rings_Osemiring__0(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7008_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9360,plain,
% 11.04/11.29 ( class_Rings_Osemiring__0(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_160]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_159,plain,
% 11.04/11.29 ( class_Groups_Omonoid__add(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7009_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9358,plain,
% 11.04/11.29 ( class_Groups_Omonoid__add(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_159]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_158,plain,
% 11.04/11.29 ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7010_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9356,plain,
% 11.04/11.29 ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_158]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_157,plain,
% 11.04/11.29 ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7011_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9354,plain,
% 11.04/11.29 ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_157]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_156,plain,
% 11.04/11.29 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7012_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9352,plain,
% 11.04/11.29 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_156]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_155,plain,
% 11.04/11.29 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7013_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9350,plain,
% 11.04/11.29 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_155]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_154,plain,
% 11.04/11.29 ( class_Rings_Oordered__ring(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7014_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9348,plain,
% 11.04/11.29 ( class_Rings_Oordered__ring(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_154]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_153,plain,
% 11.04/11.29 ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7015_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9346,plain,
% 11.04/11.29 ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_153]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_152,plain,
% 11.04/11.29 ( class_SEQ_Ocomplete__space(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7016_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9344,plain,
% 11.04/11.29 ( class_SEQ_Ocomplete__space(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_152]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_151,plain,
% 11.04/11.29 ( class_Groups_Oab__group__add(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7017_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9342,plain,
% 11.04/11.29 ( class_Groups_Oab__group__add(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_151]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_150,plain,
% 11.04/11.29 ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7018_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9340,plain,
% 11.04/11.29 ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_150]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_149,plain,
% 11.04/11.29 ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7019_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9338,plain,
% 11.04/11.29 ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_149]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_148,plain,
% 11.04/11.29 ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7020_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9336,plain,
% 11.04/11.29 ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_148]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_147,plain,
% 11.04/11.29 ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7021_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9334,plain,
% 11.04/11.29 ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_147]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_146,plain,
% 11.04/11.29 ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7022_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9332,plain,
% 11.04/11.29 ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_146]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_145,plain,
% 11.04/11.29 ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7023_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9330,plain,
% 11.04/11.29 ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_145]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_144,plain,
% 11.04/11.29 ( class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) ),
% 11.04/11.29 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7024_0) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_9328,plain,
% 11.04/11.29 ( class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) ),
% 11.04/11.29 inference(copy,[status(esa)],[c_144]) ).
% 11.04/11.29
% 11.04/11.29 cnf(c_143,plain,
% 11.04/11.29 ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7025_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9326,plain,
% 11.04/11.30 ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_143]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_142,plain,
% 11.04/11.30 ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7026_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9324,plain,
% 11.04/11.30 ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_142]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_141,plain,
% 11.04/11.30 ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7027_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9322,plain,
% 11.04/11.30 ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_141]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_140,plain,
% 11.04/11.30 ( class_RealVector_Ometric__space(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7028_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9320,plain,
% 11.04/11.30 ( class_RealVector_Ometric__space(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_140]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_139,plain,
% 11.04/11.30 ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7029_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9318,plain,
% 11.04/11.30 ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_139]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_138,plain,
% 11.04/11.30 ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7030_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9316,plain,
% 11.04/11.30 ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_138]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_137,plain,
% 11.04/11.30 ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7031_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9314,plain,
% 11.04/11.30 ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_137]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_136,plain,
% 11.04/11.30 ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7032_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9312,plain,
% 11.04/11.30 ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_136]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_135,plain,
% 11.04/11.30 ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7033_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9310,plain,
% 11.04/11.30 ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_135]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_134,plain,
% 11.04/11.30 ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7034_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9308,plain,
% 11.04/11.30 ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_134]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_133,plain,
% 11.04/11.30 ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7035_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9306,plain,
% 11.04/11.30 ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_133]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_132,plain,
% 11.04/11.30 ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7036_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9304,plain,
% 11.04/11.30 ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_132]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_131,plain,
% 11.04/11.30 ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7037_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9302,plain,
% 11.04/11.30 ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_131]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_130,plain,
% 11.04/11.30 ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7038_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9300,plain,
% 11.04/11.30 ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_130]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_129,plain,
% 11.04/11.30 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7039_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9298,plain,
% 11.04/11.30 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_129]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_128,plain,
% 11.04/11.30 ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7040_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9296,plain,
% 11.04/11.30 ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_128]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_127,plain,
% 11.04/11.30 ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7041_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9294,plain,
% 11.04/11.30 ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_127]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_126,plain,
% 11.04/11.30 ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7042_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9292,plain,
% 11.04/11.30 ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_126]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_125,plain,
% 11.04/11.30 ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7043_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9290,plain,
% 11.04/11.30 ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_125]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_124,plain,
% 11.04/11.30 ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7044_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9288,plain,
% 11.04/11.30 ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_124]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_123,plain,
% 11.04/11.30 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7045_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9286,plain,
% 11.04/11.30 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_123]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_122,plain,
% 11.04/11.30 ( class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7046_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9284,plain,
% 11.04/11.30 ( class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_122]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_121,plain,
% 11.04/11.30 ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7047_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9282,plain,
% 11.04/11.30 ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_121]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_120,plain,
% 11.04/11.30 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7048_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9280,plain,
% 11.04/11.30 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_120]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_119,plain,
% 11.04/11.30 ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7049_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9278,plain,
% 11.04/11.30 ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_119]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_118,plain,
% 11.04/11.30 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7050_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9276,plain,
% 11.04/11.30 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_118]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_117,plain,
% 11.04/11.30 ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7051_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9274,plain,
% 11.04/11.30 ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_117]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_116,plain,
% 11.04/11.30 ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 11.04/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7052_0) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_9272,plain,
% 11.04/11.30 ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 11.04/11.30 inference(copy,[status(esa)],[c_116]) ).
% 11.04/11.30
% 11.04/11.30 cnf(c_115,plain,
% 11.04/11.30 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7053_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9270,plain,
% 11.07/11.30 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_115]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_114,plain,
% 11.07/11.30 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7054_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9268,plain,
% 11.07/11.30 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_114]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_113,plain,
% 11.07/11.30 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7055_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9266,plain,
% 11.07/11.30 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_113]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_112,plain,
% 11.07/11.30 ( class_Groups_Ominus(tc_HOL_Obool) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7056_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9264,plain,
% 11.07/11.30 ( class_Groups_Ominus(tc_HOL_Obool) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_112]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_111,plain,
% 11.07/11.30 ( class_Groups_Ouminus(tc_HOL_Obool) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7057_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9262,plain,
% 11.07/11.30 ( class_Groups_Ouminus(tc_HOL_Obool) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_111]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_110,plain,
% 11.07/11.30 ( class_Orderings_Oord(tc_HOL_Obool) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7058_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9260,plain,
% 11.07/11.30 ( class_Orderings_Oord(tc_HOL_Obool) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_110]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_109,plain,
% 11.07/11.30 ( class_Orderings_Oorder(tc_HOL_Obool) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7059_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9258,plain,
% 11.07/11.30 ( class_Orderings_Oorder(tc_HOL_Obool) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_109]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_108,plain,
% 11.07/11.30 ( class_Orderings_Opreorder(tc_HOL_Obool) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7060_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9256,plain,
% 11.07/11.30 ( class_Orderings_Opreorder(tc_HOL_Obool) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_108]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_107,plain,
% 11.07/11.30 ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7061_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9254,plain,
% 11.07/11.30 ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_107]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_106,plain,
% 11.07/11.30 ( class_Groups_Oone(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7062_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9252,plain,
% 11.07/11.30 ( class_Groups_Oone(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_106]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_105,plain,
% 11.07/11.30 ( class_Groups_Ozero(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7063_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9250,plain,
% 11.07/11.30 ( class_Groups_Ozero(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_105]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_104,plain,
% 11.07/11.30 ( class_Power_Opower(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7064_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9248,plain,
% 11.07/11.30 ( class_Power_Opower(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_104]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_103,plain,
% 11.07/11.30 ( class_Groups_Ominus(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7065_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9246,plain,
% 11.07/11.30 ( class_Groups_Ominus(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_103]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_102,plain,
% 11.07/11.30 ( class_Orderings_Oord(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7066_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9244,plain,
% 11.07/11.30 ( class_Orderings_Oord(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_102]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_101,plain,
% 11.07/11.30 ( class_Rings_Osemiring(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7067_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9242,plain,
% 11.07/11.30 ( class_Rings_Osemiring(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_101]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_100,plain,
% 11.07/11.30 ( class_Orderings_Oorder(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7068_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9240,plain,
% 11.07/11.30 ( class_Orderings_Oorder(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_100]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_99,plain,
% 11.07/11.30 ( class_Rings_Omult__zero(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7069_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9238,plain,
% 11.07/11.30 ( class_Rings_Omult__zero(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_99]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_98,plain,
% 11.07/11.30 ( class_Rings_Osemiring__0(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7070_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9236,plain,
% 11.07/11.30 ( class_Rings_Osemiring__0(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_98]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_97,plain,
% 11.07/11.30 ( class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7071_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9234,plain,
% 11.07/11.30 ( class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_97]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_96,plain,
% 11.07/11.30 ( class_Groups_Omonoid__mult(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7072_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9232,plain,
% 11.07/11.30 ( class_Groups_Omonoid__mult(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_96]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_95,plain,
% 11.07/11.30 ( class_Orderings_Olinorder(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7073_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9230,plain,
% 11.07/11.30 ( class_Orderings_Olinorder(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_95]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_94,plain,
% 11.07/11.30 ( class_Orderings_Opreorder(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7074_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9228,plain,
% 11.07/11.30 ( class_Orderings_Opreorder(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_94]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_93,plain,
% 11.07/11.30 ( class_Rings_Ozero__neq__one(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7075_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9226,plain,
% 11.07/11.30 ( class_Rings_Ozero__neq__one(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_93]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_92,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7076_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9224,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_92]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_91,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7077_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9222,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_91]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_90,plain,
% 11.07/11.30 ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7078_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9220,plain,
% 11.07/11.30 ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_90]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_89,plain,
% 11.07/11.30 ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7079_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9218,plain,
% 11.07/11.30 ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_89]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_88,plain,
% 11.07/11.30 ( class_Rings_Oordered__semiring(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7080_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9216,plain,
% 11.07/11.30 ( class_Rings_Oordered__semiring(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_88]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_87,plain,
% 11.07/11.30 ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7081_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9214,plain,
% 11.07/11.30 ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_87]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_86,plain,
% 11.07/11.30 ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7082_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9212,plain,
% 11.07/11.30 ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_86]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_85,plain,
% 11.07/11.30 ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7083_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9210,plain,
% 11.07/11.30 ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_85]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_84,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7084_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9208,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_84]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_83,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semiring(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7085_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9206,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semiring(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_83]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_82,plain,
% 11.07/11.30 ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7086_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9204,plain,
% 11.07/11.30 ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_82]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_81,plain,
% 11.07/11.30 ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7087_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9202,plain,
% 11.07/11.30 ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_81]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_80,plain,
% 11.07/11.30 ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7088_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9200,plain,
% 11.07/11.30 ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_80]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_79,plain,
% 11.07/11.30 ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7089_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9198,plain,
% 11.07/11.30 ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_79]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_78,plain,
% 11.07/11.30 ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7090_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9196,plain,
% 11.07/11.30 ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_78]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_77,plain,
% 11.07/11.30 ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7091_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9194,plain,
% 11.07/11.30 ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_77]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_76,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7092_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9192,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_76]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_75,plain,
% 11.07/11.30 ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7093_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9190,plain,
% 11.07/11.30 ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_75]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_74,plain,
% 11.07/11.30 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7094_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9188,plain,
% 11.07/11.30 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_74]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_73,plain,
% 11.07/11.30 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7095_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9186,plain,
% 11.07/11.30 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_73]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_72,plain,
% 11.07/11.30 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7096_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9184,plain,
% 11.07/11.30 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_72]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_71,plain,
% 11.07/11.30 ( class_Groups_Oone(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7097_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9182,plain,
% 11.07/11.30 ( class_Groups_Oone(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_71]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_70,plain,
% 11.07/11.30 ( class_Rings_Oidom(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7098_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9180,plain,
% 11.07/11.30 ( class_Rings_Oidom(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_70]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_69,plain,
% 11.07/11.30 ( class_Rings_Oring(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7099_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9178,plain,
% 11.07/11.30 ( class_Rings_Oring(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_69]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_68,plain,
% 11.07/11.30 ( class_Groups_Ozero(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7100_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9176,plain,
% 11.07/11.30 ( class_Groups_Ozero(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_68]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_67,plain,
% 11.07/11.30 ( class_Power_Opower(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7101_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9174,plain,
% 11.07/11.30 ( class_Power_Opower(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_67]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_66,plain,
% 11.07/11.30 ( class_Groups_Ominus(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7102_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9172,plain,
% 11.07/11.30 ( class_Groups_Ominus(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_66]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_65,plain,
% 11.07/11.30 ( class_Rings_Oring__1(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7103_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9170,plain,
% 11.07/11.30 ( class_Rings_Oring__1(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_65]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_64,plain,
% 11.07/11.30 ( class_Groups_Oabs__if(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7104_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9168,plain,
% 11.07/11.30 ( class_Groups_Oabs__if(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_64]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_63,plain,
% 11.07/11.30 ( class_Groups_Osgn__if(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7105_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9166,plain,
% 11.07/11.30 ( class_Groups_Osgn__if(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_63]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_62,plain,
% 11.07/11.30 ( class_Groups_Ouminus(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7106_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9164,plain,
% 11.07/11.30 ( class_Groups_Ouminus(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_62]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_61,plain,
% 11.07/11.30 ( class_Orderings_Oord(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7107_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9162,plain,
% 11.07/11.30 ( class_Orderings_Oord(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_61]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_60,plain,
% 11.07/11.30 ( class_Rings_Osemiring(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7108_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9160,plain,
% 11.07/11.30 ( class_Rings_Osemiring(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_60]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_59,plain,
% 11.07/11.30 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7109_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9158,plain,
% 11.07/11.30 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_59]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_58,plain,
% 11.07/11.30 ( class_Rings_Omult__zero(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7110_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9156,plain,
% 11.07/11.30 ( class_Rings_Omult__zero(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_58]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_57,plain,
% 11.07/11.30 ( class_Groups_Ogroup__add(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7111_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9154,plain,
% 11.07/11.30 ( class_Groups_Ogroup__add(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_57]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_56,plain,
% 11.07/11.30 ( class_Rings_Osemiring__0(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7112_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9152,plain,
% 11.07/11.30 ( class_Rings_Osemiring__0(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_56]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_55,plain,
% 11.07/11.30 ( class_Groups_Omonoid__add(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7113_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9150,plain,
% 11.07/11.30 ( class_Groups_Omonoid__add(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_55]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_54,plain,
% 11.07/11.30 ( class_Rings_Ocomm__ring__1(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7114_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9148,plain,
% 11.07/11.30 ( class_Rings_Ocomm__ring__1(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_54]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_53,plain,
% 11.07/11.30 ( class_Groups_Omonoid__mult(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7115_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9146,plain,
% 11.07/11.30 ( class_Groups_Omonoid__mult(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_53]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_52,plain,
% 11.07/11.30 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7116_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9144,plain,
% 11.07/11.30 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_52]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_51,plain,
% 11.07/11.30 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7117_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9142,plain,
% 11.07/11.30 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_51]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_50,plain,
% 11.07/11.30 ( class_Rings_Oordered__ring(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7118_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9140,plain,
% 11.07/11.30 ( class_Rings_Oordered__ring(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_50]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_49,plain,
% 11.07/11.30 ( class_Rings_Ozero__neq__one(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7119_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9138,plain,
% 11.07/11.30 ( class_Rings_Ozero__neq__one(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_49]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_48,plain,
% 11.07/11.30 ( class_Groups_Oab__group__add(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7120_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9136,plain,
% 11.07/11.30 ( class_Groups_Oab__group__add(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_48]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_47,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7121_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9134,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_47]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_46,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7122_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9132,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_46]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_45,plain,
% 11.07/11.30 ( class_Rings_Olinordered__idom(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7123_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9130,plain,
% 11.07/11.30 ( class_Rings_Olinordered__idom(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_45]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_44,plain,
% 11.07/11.30 ( class_Rings_Olinordered__ring(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7124_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9128,plain,
% 11.07/11.30 ( class_Rings_Olinordered__ring(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_44]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_43,plain,
% 11.07/11.30 ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7125_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9126,plain,
% 11.07/11.30 ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_43]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_42,plain,
% 11.07/11.30 ( class_Rings_Ono__zero__divisors(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7126_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9124,plain,
% 11.07/11.30 ( class_Rings_Ono__zero__divisors(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_42]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_41,plain,
% 11.07/11.30 ( class_Rings_Oordered__ring__abs(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7127_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9122,plain,
% 11.07/11.30 ( class_Rings_Oordered__ring__abs(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_41]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_40,plain,
% 11.07/11.30 ( class_Rings_Oordered__semiring(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7128_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9120,plain,
% 11.07/11.30 ( class_Rings_Oordered__semiring(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_40]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_39,plain,
% 11.07/11.30 ( class_Groups_Oab__semigroup__add(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7129_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9118,plain,
% 11.07/11.30 ( class_Groups_Oab__semigroup__add(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_39]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_38,plain,
% 11.07/11.30 ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7130_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9116,plain,
% 11.07/11.30 ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_38]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_37,plain,
% 11.07/11.30 ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7131_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9114,plain,
% 11.07/11.30 ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_37]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_36,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semidom(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7132_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9112,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semidom(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_36]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_35,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semiring(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7133_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9110,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semiring(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_35]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_34,plain,
% 11.07/11.30 ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7134_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9108,plain,
% 11.07/11.30 ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_34]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_33,plain,
% 11.07/11.30 ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7135_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9106,plain,
% 11.07/11.30 ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_33]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_32,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7136_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9104,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_32]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_31,plain,
% 11.07/11.30 ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7137_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9102,plain,
% 11.07/11.30 ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_31]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_30,plain,
% 11.07/11.30 ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7138_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9100,plain,
% 11.07/11.30 ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_30]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_29,plain,
% 11.07/11.30 ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7139_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9098,plain,
% 11.07/11.30 ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_29]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_28,plain,
% 11.07/11.30 ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7140_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9096,plain,
% 11.07/11.30 ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_28]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_27,plain,
% 11.07/11.30 ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7141_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9094,plain,
% 11.07/11.30 ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_27]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_26,plain,
% 11.07/11.30 ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7142_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9092,plain,
% 11.07/11.30 ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_26]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_25,plain,
% 11.07/11.30 ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7143_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9090,plain,
% 11.07/11.30 ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_25]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_24,plain,
% 11.07/11.30 ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7144_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9088,plain,
% 11.07/11.30 ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_24]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_23,plain,
% 11.07/11.30 ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7145_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9086,plain,
% 11.07/11.30 ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_23]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_22,plain,
% 11.07/11.30 ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7146_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9084,plain,
% 11.07/11.30 ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_22]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_21,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7147_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9082,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_21]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_20,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7148_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9080,plain,
% 11.07/11.30 ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_20]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_19,plain,
% 11.07/11.30 ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7149_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9078,plain,
% 11.07/11.30 ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_19]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_18,plain,
% 11.07/11.30 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7150_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9076,plain,
% 11.07/11.30 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_18]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_17,plain,
% 11.07/11.30 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7151_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9074,plain,
% 11.07/11.30 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_17]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_16,plain,
% 11.07/11.30 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7152_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9072,plain,
% 11.07/11.30 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_16]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_15,plain,
% 11.07/11.30 ( class_Rings_Ocomm__ring(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7153_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9070,plain,
% 11.07/11.30 ( class_Rings_Ocomm__ring(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_15]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_14,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7154_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9068,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_14]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_13,plain,
% 11.07/11.30 ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7155_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9066,plain,
% 11.07/11.30 ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_13]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_12,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7156_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9064,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_12]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_11,plain,
% 11.07/11.30 ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7157_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9062,plain,
% 11.07/11.30 ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_11]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_10,plain,
% 11.07/11.30 ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7158_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9060,plain,
% 11.07/11.30 ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_10]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7159_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9058,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_9]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_8,plain,
% 11.07/11.30 ( class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7160_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9056,plain,
% 11.07/11.30 ( class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_8]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_7,plain,
% 11.07/11.30 ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7161_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9054,plain,
% 11.07/11.30 ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_7]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_6,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7162_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9052,plain,
% 11.07/11.30 ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_6]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_5,plain,
% 11.07/11.30 ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7163_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9050,plain,
% 11.07/11.30 ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_5]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_4,plain,
% 11.07/11.30 ( c_SEQ_Osubseq(sk1_esk4_0) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7164_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9048,plain,
% 11.07/11.30 ( c_SEQ_Osubseq(sk1_esk4_0) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_4]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_3,plain,
% 11.07/11.30 ( c_SEQ_Osubseq(sk1_esk3_0) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7165_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9046,plain,
% 11.07/11.30 ( c_SEQ_Osubseq(sk1_esk3_0) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_3]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_2,plain,
% 11.07/11.30 ( c_SEQ_Osubseq(sk1_esk2_0) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7166_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9044,plain,
% 11.07/11.30 ( c_SEQ_Osubseq(sk1_esk2_0) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_2]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_1,plain,
% 11.07/11.30 ( c_SEQ_Osubseq(v_f____) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7167_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9042,plain,
% 11.07/11.30 ( c_SEQ_Osubseq(v_f____) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_1]) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_0,plain,
% 11.07/11.30 ( c_SEQ_Osubseq(v_ga____) ),
% 11.07/11.30 file('/export/starexec/sandbox/tmp/iprover_modulo_19e0f1.p', c_0_7168_0) ).
% 11.07/11.30
% 11.07/11.30 cnf(c_9040,plain,
% 11.07/11.30 ( c_SEQ_Osubseq(v_ga____) ),
% 11.07/11.30 inference(copy,[status(esa)],[c_0]) ).
% 11.07/11.30
% 11.07/11.30
% 11.07/11.30
% 11.07/11.30 % ------ Statistics
% 11.07/11.30
% 11.07/11.30 % ------ General
% 11.07/11.30
% 11.07/11.30 % num_of_input_clauses: 3968
% 11.07/11.30 % num_of_input_neg_conjectures: 1
% 11.07/11.30 % num_of_splits: 0
% 11.07/11.30 % num_of_split_atoms: 0
% 11.07/11.30 % num_of_sem_filtered_clauses: 0
% 11.07/11.30 % num_of_subtypes: 0
% 11.07/11.30 % monotx_restored_types: 0
% 11.07/11.30 % sat_num_of_epr_types: 0
% 11.07/11.30 % sat_num_of_non_cyclic_types: 0
% 11.07/11.30 % sat_guarded_non_collapsed_types: 0
% 11.07/11.30 % is_epr: 0
% 11.07/11.30 % is_horn: 0
% 11.07/11.30 % has_eq: 1
% 11.07/11.30 % num_pure_diseq_elim: 0
% 11.07/11.30 % simp_replaced_by: 0
% 11.07/11.30 % res_preprocessed: 2
% 11.07/11.30 % prep_upred: 0
% 11.07/11.30 % prep_unflattend: 0
% 11.07/11.30 % pred_elim_cands: 0
% 11.07/11.30 % pred_elim: 0
% 11.07/11.30 % pred_elim_cl: 0
% 11.07/11.30 % pred_elim_cycles: 0
% 11.07/11.30 % forced_gc_time: 0
% 11.07/11.30 % gc_basic_clause_elim: 0
% 11.07/11.30 % parsing_time: 0.147
% 11.07/11.30 % sem_filter_time: 0.
% 11.07/11.30 % pred_elim_time: 0.
% 11.07/11.30 % out_proof_time: 0.
% 11.07/11.30 % monotx_time: 0.
% 11.07/11.30 % subtype_inf_time: 0.
% 11.07/11.30 % unif_index_cands_time: 0.
% 11.07/11.30 % unif_index_add_time: 0.008
% 11.07/11.30 % total_time: 10.269
% 11.07/11.30 % num_of_symbols: 224
% 11.07/11.30 % num_of_terms: 6798
% 11.07/11.30
% 11.07/11.30 % ------ Propositional Solver
% 11.07/11.30
% 11.07/11.30 % prop_solver_calls: 1
% 11.07/11.30 % prop_fast_solver_calls: 3
% 11.07/11.30 % prop_num_of_clauses: 3121
% 11.07/11.30 % prop_preprocess_simplified: 12251
% 11.07/11.30 % prop_fo_subsumed: 0
% 11.07/11.30 % prop_solver_time: 0.
% 11.07/11.30 % prop_fast_solver_time: 0.
% 11.07/11.30 % prop_unsat_core_time: 0.
% 11.07/11.30
% 11.07/11.30 % ------ QBF
% 11.07/11.30
% 11.07/11.30 % qbf_q_res: 0
% 11.07/11.30 % qbf_num_tautologies: 0
% 11.07/11.30 % qbf_prep_cycles: 0
% 11.07/11.30
% 11.07/11.30 % ------ BMC1
% 11.07/11.30
% 11.07/11.30 % bmc1_current_bound: -1
% 11.07/11.30 % bmc1_last_solved_bound: -1
% 11.07/11.30 % bmc1_unsat_core_size: -1
% 11.07/11.30 % bmc1_unsat_core_parents_size: -1
% 11.07/11.30 % bmc1_merge_next_fun: 0
% 11.07/11.30 % bmc1_unsat_core_clauses_time: 0.
% 11.07/11.30
% 11.07/11.30 % ------ Instantiation
% 11.07/11.30
% 11.07/11.30 % inst_num_of_clauses: 3668
% 11.07/11.30 % inst_num_in_passive: 0
% 11.07/11.30 % inst_num_in_active: 0
% 11.07/11.30 % inst_num_in_unprocessed: 3968
% 11.07/11.30 % inst_num_of_loops: 0
% 11.07/11.30 % inst_num_of_learning_restarts: 0
% 11.07/11.30 % inst_num_moves_active_passive: 0
% 11.07/11.30 % inst_lit_activity: 0
% 11.07/11.30 % inst_lit_activity_moves: 0
% 11.07/11.30 % inst_num_tautologies: 0
% 11.07/11.30 % inst_num_prop_implied: 0
% 11.07/11.30 % inst_num_existing_simplified: 0
% 11.07/11.30 % inst_num_eq_res_simplified: 0
% 11.07/11.30 % inst_num_child_elim: 0
% 11.07/11.30 % inst_num_of_dismatching_blockings: 0
% 11.07/11.30 % inst_num_of_non_proper_insts: 0
% 11.07/11.30 % inst_num_of_duplicates: 0
% 11.07/11.30 % inst_inst_num_from_inst_to_res: 0
% 11.07/11.30 % inst_dismatching_checking_time: 0.
% 11.07/11.30
% 11.07/11.30 % ------ Resolution
% 11.07/11.30
% 11.07/11.30 % res_num_of_clauses: 4193
% 11.07/11.30 % res_num_in_passive: 0
% 11.07/11.30 % res_num_in_active: 1539
% 11.07/11.30 % res_num_of_loops: 2
% 11.07/11.30 % res_forward_subset_subsumed: 2269
% 11.07/11.30 % res_backward_subset_subsumed: 0
% 11.07/11.30 % res_forward_subsumed: 0
% 11.07/11.30 % res_backward_subsumed: 0
% 11.07/11.30 % res_forward_subsumption_resolution: 0
% 11.07/11.30 % res_backward_subsumption_resolution: 0
% 11.07/11.30 % res_clause_to_clause_subsumption: 1
% 11.07/11.30 % res_orphan_elimination: 0
% 11.07/11.30 % res_tautology_del: 28
% 11.07/11.30 % res_num_eq_res_simplified: 0
% 11.07/11.30 % res_num_sel_changes: 0
% 11.07/11.30 % res_moves_from_active_to_pass: 0
% 11.07/11.30
% 11.07/11.30 % Status Unknown
% 11.07/11.30 % Last status :
% 11.07/11.30 % SZS status Unknown
%------------------------------------------------------------------------------