TSTP Solution File: LCL791-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL791-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n012.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 : Sun Jul 17 11:39:43 EDT 2022
% Result : Unknown 154.36s 154.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL791-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 03:28:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.37/0.59 % Orienting using strategy Equiv(ClausalAll)
% 0.37/0.59 % Orientation found
% 0.37/0.59 % 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_632d43.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_234d07.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_7d027f | grep -v "SZS"
% 0.37/0.62
% 0.37/0.62 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.37/0.62
% 0.37/0.62 %
% 0.37/0.62 % ------ iProver source info
% 0.37/0.62
% 0.37/0.62 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.37/0.62 % git: non_committed_changes: true
% 0.37/0.62 % git: last_make_outside_of_git: true
% 0.37/0.62
% 0.37/0.62 %
% 0.37/0.62 % ------ Input Options
% 0.37/0.62
% 0.37/0.62 % --out_options all
% 0.37/0.62 % --tptp_safe_out true
% 0.37/0.62 % --problem_path ""
% 0.37/0.62 % --include_path ""
% 0.37/0.62 % --clausifier .//eprover
% 0.37/0.62 % --clausifier_options --tstp-format
% 0.37/0.62 % --stdin false
% 0.37/0.62 % --dbg_backtrace false
% 0.37/0.62 % --dbg_dump_prop_clauses false
% 0.37/0.62 % --dbg_dump_prop_clauses_file -
% 0.37/0.62 % --dbg_out_stat false
% 0.37/0.62
% 0.37/0.62 % ------ General Options
% 0.37/0.62
% 0.37/0.62 % --fof false
% 0.37/0.62 % --time_out_real 150.
% 0.37/0.62 % --time_out_prep_mult 0.2
% 0.37/0.62 % --time_out_virtual -1.
% 0.37/0.62 % --schedule none
% 0.37/0.62 % --ground_splitting input
% 0.37/0.62 % --splitting_nvd 16
% 0.37/0.62 % --non_eq_to_eq false
% 0.37/0.62 % --prep_gs_sim true
% 0.37/0.62 % --prep_unflatten false
% 0.37/0.62 % --prep_res_sim true
% 0.37/0.62 % --prep_upred true
% 0.37/0.62 % --res_sim_input true
% 0.37/0.62 % --clause_weak_htbl true
% 0.37/0.62 % --gc_record_bc_elim false
% 0.37/0.62 % --symbol_type_check false
% 0.37/0.62 % --clausify_out false
% 0.37/0.62 % --large_theory_mode false
% 0.37/0.62 % --prep_sem_filter none
% 0.37/0.62 % --prep_sem_filter_out false
% 0.37/0.62 % --preprocessed_out false
% 0.37/0.62 % --sub_typing false
% 0.37/0.62 % --brand_transform false
% 0.37/0.62 % --pure_diseq_elim true
% 0.37/0.62 % --min_unsat_core false
% 0.37/0.62 % --pred_elim true
% 0.37/0.62 % --add_important_lit false
% 0.37/0.62 % --soft_assumptions false
% 0.37/0.62 % --reset_solvers false
% 0.37/0.62 % --bc_imp_inh []
% 0.37/0.62 % --conj_cone_tolerance 1.5
% 0.37/0.62 % --prolific_symb_bound 500
% 0.37/0.62 % --lt_threshold 2000
% 0.37/0.62
% 0.37/0.62 % ------ SAT Options
% 0.37/0.62
% 0.37/0.62 % --sat_mode false
% 0.37/0.62 % --sat_fm_restart_options ""
% 0.37/0.62 % --sat_gr_def false
% 0.37/0.62 % --sat_epr_types true
% 0.37/0.62 % --sat_non_cyclic_types false
% 0.37/0.62 % --sat_finite_models false
% 0.37/0.62 % --sat_fm_lemmas false
% 0.37/0.62 % --sat_fm_prep false
% 0.37/0.62 % --sat_fm_uc_incr true
% 0.37/0.62 % --sat_out_model small
% 0.37/0.62 % --sat_out_clauses false
% 0.37/0.62
% 0.37/0.62 % ------ QBF Options
% 0.37/0.62
% 0.37/0.62 % --qbf_mode false
% 0.37/0.62 % --qbf_elim_univ true
% 0.37/0.62 % --qbf_sk_in true
% 0.37/0.62 % --qbf_pred_elim true
% 0.37/0.62 % --qbf_split 32
% 0.37/0.62
% 0.37/0.62 % ------ BMC1 Options
% 0.37/0.62
% 0.37/0.62 % --bmc1_incremental false
% 0.37/0.62 % --bmc1_axioms reachable_all
% 0.37/0.62 % --bmc1_min_bound 0
% 0.37/0.62 % --bmc1_max_bound -1
% 0.37/0.62 % --bmc1_max_bound_default -1
% 0.37/0.62 % --bmc1_symbol_reachability true
% 0.37/0.62 % --bmc1_property_lemmas false
% 0.37/0.62 % --bmc1_k_induction false
% 0.37/0.62 % --bmc1_non_equiv_states false
% 0.37/0.62 % --bmc1_deadlock false
% 0.37/0.62 % --bmc1_ucm false
% 0.37/0.62 % --bmc1_add_unsat_core none
% 0.37/0.62 % --bmc1_unsat_core_children false
% 0.37/0.62 % --bmc1_unsat_core_extrapolate_axioms false
% 0.37/0.62 % --bmc1_out_stat full
% 0.37/0.62 % --bmc1_ground_init false
% 0.37/0.62 % --bmc1_pre_inst_next_state false
% 0.37/0.62 % --bmc1_pre_inst_state false
% 0.37/0.62 % --bmc1_pre_inst_reach_state false
% 0.37/0.62 % --bmc1_out_unsat_core false
% 0.37/0.62 % --bmc1_aig_witness_out false
% 0.37/0.62 % --bmc1_verbose false
% 0.37/0.62 % --bmc1_dump_clauses_tptp false
% 150.41/150.62 % --bmc1_dump_unsat_core_tptp false
% 150.41/150.62 % --bmc1_dump_file -
% 150.41/150.62 % --bmc1_ucm_expand_uc_limit 128
% 150.41/150.62 % --bmc1_ucm_n_expand_iterations 6
% 150.41/150.62 % --bmc1_ucm_extend_mode 1
% 150.41/150.62 % --bmc1_ucm_init_mode 2
% 150.41/150.62 % --bmc1_ucm_cone_mode none
% 150.41/150.62 % --bmc1_ucm_reduced_relation_type 0
% 150.41/150.62 % --bmc1_ucm_relax_model 4
% 150.41/150.62 % --bmc1_ucm_full_tr_after_sat true
% 150.41/150.62 % --bmc1_ucm_expand_neg_assumptions false
% 150.41/150.62 % --bmc1_ucm_layered_model none
% 150.41/150.62 % --bmc1_ucm_max_lemma_size 10
% 150.41/150.62
% 150.41/150.62 % ------ AIG Options
% 150.41/150.62
% 150.41/150.62 % --aig_mode false
% 150.41/150.62
% 150.41/150.62 % ------ Instantiation Options
% 150.41/150.62
% 150.41/150.62 % --instantiation_flag true
% 150.41/150.62 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.41/150.62 % --inst_solver_per_active 750
% 150.41/150.62 % --inst_solver_calls_frac 0.5
% 150.41/150.62 % --inst_passive_queue_type priority_queues
% 150.41/150.62 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.41/150.62 % --inst_passive_queues_freq [25;2]
% 150.41/150.62 % --inst_dismatching true
% 150.41/150.62 % --inst_eager_unprocessed_to_passive true
% 150.41/150.62 % --inst_prop_sim_given true
% 150.41/150.62 % --inst_prop_sim_new false
% 150.41/150.62 % --inst_orphan_elimination true
% 150.41/150.62 % --inst_learning_loop_flag true
% 150.41/150.62 % --inst_learning_start 3000
% 150.41/150.62 % --inst_learning_factor 2
% 150.41/150.62 % --inst_start_prop_sim_after_learn 3
% 150.41/150.62 % --inst_sel_renew solver
% 150.41/150.62 % --inst_lit_activity_flag true
% 150.41/150.62 % --inst_out_proof true
% 150.41/150.62
% 150.41/150.62 % ------ Resolution Options
% 150.41/150.62
% 150.41/150.62 % --resolution_flag true
% 150.41/150.62 % --res_lit_sel kbo_max
% 150.41/150.62 % --res_to_prop_solver none
% 150.41/150.62 % --res_prop_simpl_new false
% 150.41/150.62 % --res_prop_simpl_given false
% 150.41/150.62 % --res_passive_queue_type priority_queues
% 150.41/150.62 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.41/150.62 % --res_passive_queues_freq [15;5]
% 150.41/150.62 % --res_forward_subs full
% 150.41/150.62 % --res_backward_subs full
% 150.41/150.62 % --res_forward_subs_resolution true
% 150.41/150.62 % --res_backward_subs_resolution true
% 150.41/150.62 % --res_orphan_elimination false
% 150.41/150.62 % --res_time_limit 1000.
% 150.41/150.62 % --res_out_proof true
% 150.41/150.62 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_632d43.s
% 150.41/150.62 % --modulo true
% 150.41/150.62
% 150.41/150.62 % ------ Combination Options
% 150.41/150.62
% 150.41/150.62 % --comb_res_mult 1000
% 150.41/150.62 % --comb_inst_mult 300
% 150.41/150.62 % ------
% 150.41/150.62
% 150.41/150.62 % ------ Parsing...% successful
% 150.41/150.62
% 150.41/150.62 % ------ 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 %
% 150.41/150.62
% 150.41/150.62 % ------ Proving...
% 150.41/150.62 % ------ Problem Properties
% 150.41/150.62
% 150.41/150.62 %
% 150.41/150.62 % EPR false
% 150.41/150.62 % Horn false
% 150.41/150.62 % Has equality true
% 150.41/150.62
% 150.41/150.62 % % ------ Input Options Time Limit: Unbounded
% 150.41/150.62
% 150.41/150.62
% 150.41/150.62 Compiling...
% 150.41/150.62 Loading plugin: done.
% 150.41/150.62 %
% 150.41/150.62
% 150.41/150.62
% 150.41/150.62 % Time Out Real
% 150.41/150.62
% 150.41/150.62 % ------ Statistics
% 150.41/150.62
% 150.41/150.62 % ------ General
% 150.41/150.62
% 150.41/150.62 % num_of_input_clauses: 2905
% 150.41/150.62 % num_of_input_neg_conjectures: 1
% 150.41/150.62 % num_of_splits: 0
% 150.41/150.62 % num_of_split_atoms: 0
% 150.41/150.62 % num_of_sem_filtered_clauses: 0
% 150.41/150.62 % num_of_subtypes: 0
% 150.41/150.62 % monotx_restored_types: 0
% 150.41/150.62 % sat_num_of_epr_types: 0
% 150.41/150.62 % sat_num_of_non_cyclic_types: 0
% 150.41/150.62 % sat_guarded_non_collapsed_types: 0
% 150.41/150.62 % is_epr: 0
% 150.41/150.62 % is_horn: 0
% 150.41/150.62 % has_eq: 1
% 150.41/150.62 % num_pure_diseq_elim: 0
% 150.41/150.62 % simp_replaced_by: 0
% 150.41/150.62 % res_preprocessed: 2
% 150.41/150.62 % prep_upred: 0
% 150.41/150.62 % prep_unflattend: 0
% 150.41/150.62 % pred_elim_cands: 0
% 150.41/150.62 % pred_elim: 0
% 150.41/150.62 % pred_elim_cl: 0
% 150.41/150.62 % pred_elim_cycles: 0
% 150.41/150.62 % forced_gc_time: 0
% 150.41/150.62 % gc_basic_clause_elim: 0
% 150.41/150.62 % parsing_time: 0.139
% 150.41/150.62 % sem_filter_time: 0.
% 150.41/150.62 % pred_elim_time: 0.
% 150.41/150.62 % out_proof_time: 0.
% 150.41/150.62 % monotx_time: 0.
% 150.41/150.62 % subtype_inf_time: 0.
% 150.41/150.62 % unif_index_cands_time: 0.
% 150.41/150.62 % unif_index_add_time: 0.001
% 150.41/150.62 % total_time: 150.017
% 150.41/150.62 % num_of_symbols: 130
% 150.41/150.62 % num_of_terms: 5586
% 150.41/150.62
% 150.41/150.62 % ------ Propositional Solver
% 150.41/150.62
% 150.41/150.62 % prop_solver_calls: 1
% 150.41/150.62 % prop_fast_solver_calls: 3
% 150.41/150.62 % prop_num_of_clauses: 2295
% 150.41/150.62 % prop_preprocess_simplified: 9223
% 150.41/150.62 % prop_fo_subsumed: 0
% 150.41/150.62 % prop_solver_time: 0.
% 150.41/150.62 % prop_fast_solver_time: 0.
% 150.41/150.62 % prop_unsat_core_time: 0.
% 150.41/150.62
% 150.41/150.62 % ------ QBF
% 150.41/150.62
% 150.41/150.62 % qbf_q_res: 0
% 150.41/150.62 % qbf_num_tautologies: 0
% 150.41/150.62 % qbf_prep_cycles: 0
% 150.41/150.62
% 150.41/150.62 % ------ BMC1
% 150.41/150.62
% 150.41/150.62 % bmc1_current_bound: -1
% 150.41/150.62 % bmc1_last_solved_bound: -1
% 150.41/150.62 % bmc1_unsat_core_size: -1
% 150.41/150.62 % bmc1_unsat_core_parents_size: -1
% 150.41/150.62 % bmc1_merge_next_fun: 0
% 150.41/150.62 % bmc1_unsat_core_clauses_time: 0.
% 150.41/150.62
% 150.41/150.62 % ------ Instantiation
% 150.41/150.62
% 150.41/150.62 % inst_num_of_clauses: 2610
% 150.41/150.62 % inst_num_in_passive: 0
% 150.41/150.62 % inst_num_in_active: 0
% 150.41/150.62 % inst_num_in_unprocessed: 2905
% 150.41/150.62 % inst_num_of_loops: 0
% 150.41/150.62 % inst_num_of_learning_restarts: 0
% 150.41/150.62 % inst_num_moves_active_passive: 0
% 150.41/150.62 % inst_lit_activity: 0
% 150.41/150.62 % inst_lit_activity_moves: 0
% 150.41/150.62 % inst_num_tautologies: 0
% 150.41/150.62 % inst_num_prop_implied: 0
% 150.41/150.62 % inst_num_existing_simplified: 0
% 150.41/150.62 % inst_num_eq_res_simplified: 0
% 150.41/150.62 % inst_num_child_elim: 0
% 150.41/150.62 % inst_num_of_dismatching_blockings: 0
% 150.41/150.62 % inst_num_of_non_proper_insts: 0
% 150.41/150.62 % inst_num_of_duplicates: 0
% 150.41/150.62 % inst_inst_num_from_inst_to_res: 0
% 150.41/150.62 % inst_dismatching_checking_time: 0.
% 150.41/150.62
% 150.41/150.62 % ------ Resolution
% 150.41/150.62
% 150.41/150.62 % res_num_of_clauses: 2810
% 150.41/150.62 % res_num_in_passive: 0
% 150.41/150.62 % res_num_in_active: 877
% 150.41/150.62 % res_num_of_loops: 0
% 150.41/150.62 % res_forward_subset_subsumed: 1844
% 150.41/150.62 % res_backward_subset_subsumed: 3
% 150.41/150.62 % res_forward_subsumed: 0
% 150.41/150.62 % res_backward_subsumed: 0
% 150.41/150.62 % res_forward_subsumption_resolution: 0
% 150.41/150.62 % res_backward_subsumption_resolution: 0
% 150.41/150.62 % res_clause_to_clause_subsumption: 0
% 150.41/150.62 % res_orphan_elimination: 0
% 150.41/150.62 % res_tautology_del: 0
% 150.41/150.62 % res_num_eq_res_simplified: 0
% 150.41/150.62 % res_num_sel_changes: 0
% 150.41/150.62 % res_moves_from_active_to_pass: 0
% 150.41/150.62
% 150.41/150.62 % Status Unknown
% 150.49/150.85 % Orienting using strategy ClausalAll
% 150.49/150.85 % Orientation found
% 150.49/150.85 % 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_632d43.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_234d07.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_bc154b | grep -v "SZS"
% 150.49/150.88
% 150.49/150.88 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.49/150.88
% 150.49/150.88 %
% 150.49/150.88 % ------ iProver source info
% 150.49/150.88
% 150.49/150.88 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.49/150.88 % git: non_committed_changes: true
% 150.49/150.88 % git: last_make_outside_of_git: true
% 150.49/150.88
% 150.49/150.88 %
% 150.49/150.88 % ------ Input Options
% 150.49/150.88
% 150.49/150.88 % --out_options all
% 150.49/150.88 % --tptp_safe_out true
% 150.49/150.88 % --problem_path ""
% 150.49/150.88 % --include_path ""
% 150.49/150.88 % --clausifier .//eprover
% 150.49/150.88 % --clausifier_options --tstp-format
% 150.49/150.88 % --stdin false
% 150.49/150.88 % --dbg_backtrace false
% 150.49/150.88 % --dbg_dump_prop_clauses false
% 150.49/150.88 % --dbg_dump_prop_clauses_file -
% 150.49/150.88 % --dbg_out_stat false
% 150.49/150.88
% 150.49/150.88 % ------ General Options
% 150.49/150.88
% 150.49/150.88 % --fof false
% 150.49/150.88 % --time_out_real 150.
% 150.49/150.88 % --time_out_prep_mult 0.2
% 150.49/150.88 % --time_out_virtual -1.
% 150.49/150.88 % --schedule none
% 150.49/150.88 % --ground_splitting input
% 150.49/150.88 % --splitting_nvd 16
% 150.49/150.88 % --non_eq_to_eq false
% 150.49/150.88 % --prep_gs_sim true
% 150.49/150.88 % --prep_unflatten false
% 150.49/150.88 % --prep_res_sim true
% 150.49/150.88 % --prep_upred true
% 150.49/150.88 % --res_sim_input true
% 150.49/150.88 % --clause_weak_htbl true
% 150.49/150.88 % --gc_record_bc_elim false
% 150.49/150.88 % --symbol_type_check false
% 150.49/150.88 % --clausify_out false
% 150.49/150.88 % --large_theory_mode false
% 150.49/150.88 % --prep_sem_filter none
% 150.49/150.88 % --prep_sem_filter_out false
% 150.49/150.88 % --preprocessed_out false
% 150.49/150.88 % --sub_typing false
% 150.49/150.88 % --brand_transform false
% 150.49/150.88 % --pure_diseq_elim true
% 150.49/150.88 % --min_unsat_core false
% 150.49/150.88 % --pred_elim true
% 150.49/150.88 % --add_important_lit false
% 150.49/150.88 % --soft_assumptions false
% 150.49/150.88 % --reset_solvers false
% 150.49/150.88 % --bc_imp_inh []
% 150.49/150.88 % --conj_cone_tolerance 1.5
% 150.49/150.88 % --prolific_symb_bound 500
% 150.49/150.88 % --lt_threshold 2000
% 150.49/150.88
% 150.49/150.88 % ------ SAT Options
% 150.49/150.88
% 150.49/150.88 % --sat_mode false
% 150.49/150.88 % --sat_fm_restart_options ""
% 150.49/150.88 % --sat_gr_def false
% 150.49/150.88 % --sat_epr_types true
% 150.49/150.88 % --sat_non_cyclic_types false
% 150.49/150.88 % --sat_finite_models false
% 150.49/150.88 % --sat_fm_lemmas false
% 150.49/150.88 % --sat_fm_prep false
% 150.49/150.88 % --sat_fm_uc_incr true
% 150.49/150.88 % --sat_out_model small
% 150.49/150.88 % --sat_out_clauses false
% 150.49/150.88
% 150.49/150.88 % ------ QBF Options
% 150.49/150.88
% 150.49/150.88 % --qbf_mode false
% 150.49/150.88 % --qbf_elim_univ true
% 150.49/150.88 % --qbf_sk_in true
% 150.49/150.88 % --qbf_pred_elim true
% 150.49/150.88 % --qbf_split 32
% 150.49/150.88
% 150.49/150.88 % ------ BMC1 Options
% 150.49/150.88
% 150.49/150.88 % --bmc1_incremental false
% 150.49/150.88 % --bmc1_axioms reachable_all
% 150.49/150.88 % --bmc1_min_bound 0
% 150.49/150.88 % --bmc1_max_bound -1
% 150.49/150.88 % --bmc1_max_bound_default -1
% 150.49/150.88 % --bmc1_symbol_reachability true
% 150.49/150.88 % --bmc1_property_lemmas false
% 150.49/150.88 % --bmc1_k_induction false
% 150.49/150.88 % --bmc1_non_equiv_states false
% 150.49/150.88 % --bmc1_deadlock false
% 150.49/150.88 % --bmc1_ucm false
% 150.49/150.88 % --bmc1_add_unsat_core none
% 150.49/150.88 % --bmc1_unsat_core_children false
% 150.49/150.88 % --bmc1_unsat_core_extrapolate_axioms false
% 150.49/150.88 % --bmc1_out_stat full
% 150.49/150.88 % --bmc1_ground_init false
% 150.49/150.88 % --bmc1_pre_inst_next_state false
% 150.49/150.88 % --bmc1_pre_inst_state false
% 150.49/150.88 % --bmc1_pre_inst_reach_state false
% 150.49/150.88 % --bmc1_out_unsat_core false
% 150.49/150.88 % --bmc1_aig_witness_out false
% 150.49/150.88 % --bmc1_verbose false
% 150.49/150.88 % --bmc1_dump_clauses_tptp false
% 154.13/154.41 % --bmc1_dump_unsat_core_tptp false
% 154.13/154.41 % --bmc1_dump_file -
% 154.13/154.41 % --bmc1_ucm_expand_uc_limit 128
% 154.13/154.41 % --bmc1_ucm_n_expand_iterations 6
% 154.13/154.41 % --bmc1_ucm_extend_mode 1
% 154.13/154.41 % --bmc1_ucm_init_mode 2
% 154.13/154.41 % --bmc1_ucm_cone_mode none
% 154.13/154.41 % --bmc1_ucm_reduced_relation_type 0
% 154.13/154.41 % --bmc1_ucm_relax_model 4
% 154.13/154.41 % --bmc1_ucm_full_tr_after_sat true
% 154.13/154.41 % --bmc1_ucm_expand_neg_assumptions false
% 154.13/154.41 % --bmc1_ucm_layered_model none
% 154.13/154.41 % --bmc1_ucm_max_lemma_size 10
% 154.13/154.41
% 154.13/154.41 % ------ AIG Options
% 154.13/154.41
% 154.13/154.41 % --aig_mode false
% 154.13/154.41
% 154.13/154.41 % ------ Instantiation Options
% 154.13/154.41
% 154.13/154.41 % --instantiation_flag true
% 154.13/154.41 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 154.13/154.41 % --inst_solver_per_active 750
% 154.13/154.41 % --inst_solver_calls_frac 0.5
% 154.13/154.41 % --inst_passive_queue_type priority_queues
% 154.13/154.41 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 154.13/154.41 % --inst_passive_queues_freq [25;2]
% 154.13/154.41 % --inst_dismatching true
% 154.13/154.41 % --inst_eager_unprocessed_to_passive true
% 154.13/154.41 % --inst_prop_sim_given true
% 154.13/154.41 % --inst_prop_sim_new false
% 154.13/154.41 % --inst_orphan_elimination true
% 154.13/154.41 % --inst_learning_loop_flag true
% 154.13/154.41 % --inst_learning_start 3000
% 154.13/154.41 % --inst_learning_factor 2
% 154.13/154.41 % --inst_start_prop_sim_after_learn 3
% 154.13/154.41 % --inst_sel_renew solver
% 154.13/154.41 % --inst_lit_activity_flag true
% 154.13/154.41 % --inst_out_proof true
% 154.13/154.41
% 154.13/154.41 % ------ Resolution Options
% 154.13/154.41
% 154.13/154.41 % --resolution_flag true
% 154.13/154.41 % --res_lit_sel kbo_max
% 154.13/154.41 % --res_to_prop_solver none
% 154.13/154.41 % --res_prop_simpl_new false
% 154.13/154.41 % --res_prop_simpl_given false
% 154.13/154.41 % --res_passive_queue_type priority_queues
% 154.13/154.41 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 154.13/154.41 % --res_passive_queues_freq [15;5]
% 154.13/154.41 % --res_forward_subs full
% 154.13/154.41 % --res_backward_subs full
% 154.13/154.41 % --res_forward_subs_resolution true
% 154.13/154.41 % --res_backward_subs_resolution true
% 154.13/154.41 % --res_orphan_elimination false
% 154.13/154.41 % --res_time_limit 1000.
% 154.13/154.41 % --res_out_proof true
% 154.13/154.41 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_632d43.s
% 154.13/154.41 % --modulo true
% 154.13/154.41
% 154.13/154.41 % ------ Combination Options
% 154.13/154.41
% 154.13/154.41 % --comb_res_mult 1000
% 154.13/154.41 % --comb_inst_mult 300
% 154.13/154.41 % ------
% 154.13/154.41
% 154.13/154.41 % ------ Parsing...% successful
% 154.13/154.41
% 154.13/154.41 % ------ 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 %
% 154.13/154.41
% 154.13/154.41 % ------ Proving...
% 154.13/154.41 % ------ Problem Properties
% 154.13/154.41
% 154.13/154.41 %
% 154.13/154.41 % EPR false
% 154.13/154.41 % Horn false
% 154.13/154.41 % Has equality true
% 154.13/154.41
% 154.13/154.41 % % ------ Input Options Time Limit: Unbounded
% 154.13/154.41
% 154.13/154.41
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 Compiling...
% 154.13/154.41 Loading plugin: done.
% 154.13/154.41 % % ------ Current options:
% 154.13/154.41
% 154.13/154.41 % ------ Input Options
% 154.13/154.41
% 154.13/154.41 % --out_options all
% 154.13/154.41 % --tptp_safe_out true
% 154.13/154.41 % --problem_path ""
% 154.13/154.41 % --include_path ""
% 154.13/154.41 % --clausifier .//eprover
% 154.13/154.41 % --clausifier_options --tstp-format
% 154.13/154.41 % --stdin false
% 154.13/154.41 % --dbg_backtrace false
% 154.13/154.41 % --dbg_dump_prop_clauses false
% 154.13/154.41 % --dbg_dump_prop_clauses_file -
% 154.13/154.41 % --dbg_out_stat false
% 154.13/154.41
% 154.13/154.41 % ------ General Options
% 154.13/154.41
% 154.13/154.41 % --fof false
% 154.13/154.41 % --time_out_real 150.
% 154.13/154.41 % --time_out_prep_mult 0.2
% 154.13/154.41 % --time_out_virtual -1.
% 154.13/154.41 % --schedule none
% 154.13/154.41 % --ground_splitting input
% 154.13/154.41 % --splitting_nvd 16
% 154.13/154.41 % --non_eq_to_eq false
% 154.13/154.41 % --prep_gs_sim true
% 154.13/154.41 % --prep_unflatten false
% 154.13/154.41 % --prep_res_sim true
% 154.13/154.41 % --prep_upred true
% 154.13/154.41 % --res_sim_input true
% 154.13/154.41 % --clause_weak_htbl true
% 154.13/154.41 % --gc_record_bc_elim false
% 154.13/154.41 % --symbol_type_check false
% 154.13/154.41 % --clausify_out false
% 154.13/154.41 % --large_theory_mode false
% 154.13/154.41 % --prep_sem_filter none
% 154.13/154.41 % --prep_sem_filter_out false
% 154.13/154.41 % --preprocessed_out false
% 154.13/154.41 % --sub_typing false
% 154.13/154.41 % --brand_transform false
% 154.13/154.41 % --pure_diseq_elim true
% 154.13/154.41 % --min_unsat_core false
% 154.13/154.41 % --pred_elim true
% 154.13/154.41 % --add_important_lit false
% 154.13/154.41 % --soft_assumptions false
% 154.13/154.41 % --reset_solvers false
% 154.13/154.41 % --bc_imp_inh []
% 154.13/154.41 % --conj_cone_tolerance 1.5
% 154.13/154.41 % --prolific_symb_bound 500
% 154.13/154.41 % --lt_threshold 2000
% 154.13/154.41
% 154.13/154.41 % ------ SAT Options
% 154.13/154.41
% 154.13/154.41 % --sat_mode false
% 154.13/154.41 % --sat_fm_restart_options ""
% 154.13/154.41 % --sat_gr_def false
% 154.13/154.41 % --sat_epr_types true
% 154.13/154.41 % --sat_non_cyclic_types false
% 154.13/154.41 % --sat_finite_models false
% 154.13/154.41 % --sat_fm_lemmas false
% 154.13/154.41 % --sat_fm_prep false
% 154.13/154.41 % --sat_fm_uc_incr true
% 154.13/154.41 % --sat_out_model small
% 154.13/154.41 % --sat_out_clauses false
% 154.13/154.41
% 154.13/154.41 % ------ QBF Options
% 154.13/154.41
% 154.13/154.41 % --qbf_mode false
% 154.13/154.41 % --qbf_elim_univ true
% 154.13/154.41 % --qbf_sk_in true
% 154.13/154.41 % --qbf_pred_elim true
% 154.13/154.41 % --qbf_split 32
% 154.13/154.41
% 154.13/154.41 % ------ BMC1 Options
% 154.13/154.41
% 154.13/154.41 % --bmc1_incremental false
% 154.13/154.41 % --bmc1_axioms reachable_all
% 154.13/154.41 % --bmc1_min_bound 0
% 154.13/154.41 % --bmc1_max_bound -1
% 154.13/154.41 % --bmc1_max_bound_default -1
% 154.13/154.41 % --bmc1_symbol_reachability true
% 154.13/154.41 % --bmc1_property_lemmas false
% 154.13/154.41 % --bmc1_k_induction false
% 154.13/154.41 % --bmc1_non_equiv_states false
% 154.13/154.41 % --bmc1_deadlock false
% 154.13/154.41 % --bmc1_ucm false
% 154.13/154.41 % --bmc1_add_unsat_core none
% 154.13/154.41 % --bmc1_unsat_core_children false
% 154.13/154.41 % --bmc1_unsat_core_extrapolate_axioms false
% 154.13/154.41 % --bmc1_out_stat full
% 154.13/154.41 % --bmc1_ground_init false
% 154.13/154.41 % --bmc1_pre_inst_next_state false
% 154.13/154.41 % --bmc1_pre_inst_state false
% 154.13/154.41 % --bmc1_pre_inst_reach_state false
% 154.13/154.41 % --bmc1_out_unsat_core false
% 154.13/154.41 % --bmc1_aig_witness_out false
% 154.13/154.41 % --bmc1_verbose false
% 154.13/154.41 % --bmc1_dump_clauses_tptp false
% 154.13/154.41 % --bmc1_dump_unsat_core_tptp false
% 154.13/154.41 % --bmc1_dump_file -
% 154.13/154.41 % --bmc1_ucm_expand_uc_limit 128
% 154.13/154.41 % --bmc1_ucm_n_expand_iterations 6
% 154.13/154.41 % --bmc1_ucm_extend_mode 1
% 154.13/154.41 % --bmc1_ucm_init_mode 2
% 154.13/154.41 % --bmc1_ucm_cone_mode none
% 154.13/154.41 % --bmc1_ucm_reduced_relation_type 0
% 154.13/154.41 % --bmc1_ucm_relax_model 4
% 154.13/154.41 % --bmc1_ucm_full_tr_after_sat true
% 154.13/154.41 % --bmc1_ucm_expand_neg_assumptions false
% 154.13/154.41 % --bmc1_ucm_layered_model none
% 154.13/154.41 % --bmc1_ucm_max_lemma_size 10
% 154.13/154.41
% 154.13/154.41 % ------ AIG Options
% 154.13/154.41
% 154.13/154.41 % --aig_mode false
% 154.13/154.41
% 154.13/154.41 % ------ Instantiation Options
% 154.13/154.41
% 154.13/154.41 % --instantiation_flag true
% 154.13/154.41 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 154.13/154.41 % --inst_solver_per_active 750
% 154.13/154.41 % --inst_solver_calls_frac 0.5
% 154.13/154.41 % --inst_passive_queue_type priority_queues
% 154.13/154.41 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 154.13/154.41 % --inst_passive_queues_freq [25;2]
% 154.13/154.41 % --inst_dismatching true
% 154.13/154.41 % --inst_eager_unprocessed_to_passive true
% 154.13/154.41 % --inst_prop_sim_given true
% 154.13/154.41 % --inst_prop_sim_new false
% 154.13/154.41 % --inst_orphan_elimination true
% 154.13/154.41 % --inst_learning_loop_flag true
% 154.13/154.41 % --inst_learning_start 3000
% 154.13/154.41 % --inst_learning_factor 2
% 154.13/154.41 % --inst_start_prop_sim_after_learn 3
% 154.13/154.41 % --inst_sel_renew solver
% 154.13/154.41 % --inst_lit_activity_flag true
% 154.13/154.41 % --inst_out_proof true
% 154.13/154.41
% 154.13/154.41 % ------ Resolution Options
% 154.13/154.41
% 154.13/154.41 % --resolution_flag true
% 154.13/154.41 % --res_lit_sel kbo_max
% 154.13/154.41 % --res_to_prop_solver none
% 154.13/154.41 % --res_prop_simpl_new false
% 154.13/154.41 % --res_prop_simpl_given false
% 154.13/154.41 % --res_passive_queue_type priority_queues
% 154.13/154.41 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 154.13/154.41 % --res_passive_queues_freq [15;5]
% 154.13/154.41 % --res_forward_subs full
% 154.13/154.41 % --res_backward_subs full
% 154.13/154.41 % --res_forward_subs_resolution true
% 154.13/154.41 % --res_backward_subs_resolution true
% 154.13/154.41 % --res_orphan_elimination false
% 154.13/154.41 % --res_time_limit 1000.
% 154.13/154.41 % --res_out_proof true
% 154.13/154.41 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_632d43.s
% 154.13/154.41 % --modulo true
% 154.13/154.41
% 154.13/154.41 % ------ Combination Options
% 154.13/154.41
% 154.13/154.41 % --comb_res_mult 1000
% 154.13/154.41 % --comb_inst_mult 300
% 154.13/154.41 % ------
% 154.13/154.41
% 154.13/154.41
% 154.13/154.41
% 154.13/154.41 % ------ Proving...
% 154.13/154.41 % warning: shown sat in sat incomplete mode
% 154.13/154.41 %
% 154.13/154.41
% 154.13/154.41
% 154.13/154.41
% 154.13/154.41
% 154.13/154.41 cnf(c_2904,negated_conjecture,
% 154.13/154.41 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.13/154.41 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_3627,negated_conjecture,
% 154.13/154.41 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.13/154.41 inference(copy,[status(esa)],[c_2904]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_3631,negated_conjecture,
% 154.13/154.41 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.13/154.41 inference(copy,[status(esa)],[c_3627]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_3632,negated_conjecture,
% 154.13/154.41 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.13/154.41 inference(copy,[status(esa)],[c_3631]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_3633,negated_conjecture,
% 154.13/154.41 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.13/154.41 inference(copy,[status(esa)],[c_3632]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_12257,negated_conjecture,
% 154.13/154.41 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.13/154.41 inference(copy,[status(esa)],[c_3633]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_12258,plain,
% 154.13/154.41 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_n____),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.13/154.41 inference(rewriting,[status(thm)],[c_12257]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_2901,plain,
% 154.13/154.41 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat)
% 154.13/154.41 | ~ c_lessequals(X0,X3,tc_nat)
% 154.13/154.41 | ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat),X4,tc_nat),tc_nat) ),
% 154.13/154.41 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4209_2) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_12251,plain,
% 154.13/154.41 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat)
% 154.13/154.41 | ~ c_lessequals(X0,X3,tc_nat)
% 154.13/154.41 | ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat),X4,tc_nat),tc_nat) ),
% 154.13/154.41 inference(copy,[status(esa)],[c_2901]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_12252,plain,
% 154.13/154.41 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat)
% 154.13/154.41 | ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat),X4,tc_nat),tc_nat)
% 154.13/154.41 | ~ c_lessequals(X0,X3,tc_nat) ),
% 154.13/154.41 inference(rewriting,[status(thm)],[c_12251]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_2895,plain,
% 154.13/154.41 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat)
% 154.13/154.41 | ~ c_lessequals(X0,X3,tc_nat)
% 154.13/154.41 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat),X4,tc_nat),tc_nat) ),
% 154.13/154.41 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4211_2) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_12239,plain,
% 154.13/154.41 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat)
% 154.13/154.41 | ~ c_lessequals(X0,X3,tc_nat)
% 154.13/154.41 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat),X4,tc_nat),tc_nat) ),
% 154.13/154.41 inference(copy,[status(esa)],[c_2895]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_12240,plain,
% 154.13/154.41 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.13/154.41 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X4,tc_nat),tc_nat)
% 154.13/154.41 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat),X4,tc_nat),tc_nat) ),
% 154.13/154.41 inference(rewriting,[status(thm)],[c_12239]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_2892,plain,
% 154.13/154.41 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat)
% 154.13/154.41 | ~ c_lessequals(X3,X0,tc_nat)
% 154.13/154.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat),X2,tc_nat),X4,tc_nat) ),
% 154.13/154.41 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4212_2) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_12233,plain,
% 154.13/154.41 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat)
% 154.13/154.41 | ~ c_lessequals(X3,X0,tc_nat)
% 154.13/154.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat),X2,tc_nat),X4,tc_nat) ),
% 154.13/154.41 inference(copy,[status(esa)],[c_2892]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_12234,plain,
% 154.13/154.41 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.13/154.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat)
% 154.13/154.41 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X4,tc_nat),tc_nat) ),
% 154.13/154.41 inference(rewriting,[status(thm)],[c_12233]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_2889,plain,
% 154.13/154.41 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 154.13/154.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X4,X2),X1,X2),X3,X2),X5,X2)
% 154.13/154.41 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.13/154.41 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4213_2) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_12227,plain,
% 154.13/154.41 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 154.13/154.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X4,X2),X1,X2),X3,X2),X5,X2)
% 154.13/154.41 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.13/154.41 inference(copy,[status(esa)],[c_2889]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_12228,plain,
% 154.13/154.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 154.13/154.41 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 154.13/154.41 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.13/154.41 inference(rewriting,[status(thm)],[c_12227]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_2883,plain,
% 154.13/154.41 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 154.13/154.41 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X4,X2),X1,X2),X3,X2),X5,X2)
% 154.13/154.41 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.13/154.41 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4215_2) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_12215,plain,
% 154.13/154.41 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 154.13/154.41 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X4,X2),X1,X2),X3,X2),X5,X2)
% 154.13/154.41 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.13/154.41 inference(copy,[status(esa)],[c_2883]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_12216,plain,
% 154.13/154.41 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 154.13/154.41 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 154.13/154.41 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.13/154.41 inference(rewriting,[status(thm)],[c_12215]) ).
% 154.13/154.41
% 154.13/154.41 cnf(c_2874,plain,
% 154.13/154.41 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat)
% 154.13/154.42 | ~ c_lessequals(X1,X0,tc_nat)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X4,tc_nat),tc_nat) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4218_2) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12197,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat)
% 154.13/154.42 | ~ c_lessequals(X1,X0,tc_nat)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X4,tc_nat),tc_nat) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2874]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12198,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X4,tc_nat),tc_nat)
% 154.13/154.42 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_12197]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2871,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat)
% 154.13/154.42 | ~ c_lessequals(X2,X1,tc_nat)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),tc_nat) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4219_2) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12191,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat)
% 154.13/154.42 | ~ c_lessequals(X2,X1,tc_nat)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),tc_nat) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2871]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12192,plain,
% 154.13/154.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X4,tc_nat),tc_nat)
% 154.13/154.42 | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat),X4,tc_nat),tc_nat) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_12191]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2868,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat)
% 154.13/154.42 | ~ c_lessequals(X1,X0,tc_nat)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X4,tc_nat),tc_nat) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4220_2) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12185,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat)
% 154.13/154.42 | ~ c_lessequals(X1,X0,tc_nat)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X4,tc_nat),tc_nat) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2868]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12186,plain,
% 154.13/154.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X4,tc_nat),tc_nat) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_12185]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2862,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4222_2) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12173,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2862]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12174,plain,
% 154.13/154.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 154.13/154.42 | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_12173]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2856,plain,
% 154.13/154.42 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X3)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4224_2) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12161,plain,
% 154.13/154.42 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X3)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2856]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12162,plain,
% 154.13/154.42 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 154.13/154.42 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_12161]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2831,plain,
% 154.13/154.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4234_2) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12111,plain,
% 154.13/154.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2831]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12112,plain,
% 154.13/154.42 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 154.13/154.42 | X2 = c_HOL_Ozero__class_Ozero(X1) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_12111]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2828,plain,
% 154.13/154.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4235_2) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12105,plain,
% 154.13/154.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2828]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12106,plain,
% 154.13/154.42 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 154.13/154.42 | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_12105]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2823,plain,
% 154.13/154.42 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat)
% 154.13/154.42 | ~ c_lessequals(X2,X1,tc_nat)
% 154.13/154.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4237_2) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12095,plain,
% 154.13/154.42 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat)
% 154.13/154.42 | ~ c_lessequals(X2,X1,tc_nat)
% 154.13/154.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2823]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12096,plain,
% 154.13/154.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.13/154.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X4,tc_nat)
% 154.13/154.42 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat),X4,tc_nat) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_12095]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2820,plain,
% 154.13/154.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) = X4
% 154.13/154.42 | ~ c_lessequals(X1,X0,tc_nat)
% 154.13/154.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X4,tc_nat) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4238_2) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12089,plain,
% 154.13/154.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat) = X4
% 154.13/154.42 | ~ c_lessequals(X1,X0,tc_nat)
% 154.13/154.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X4,tc_nat) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2820]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12090,plain,
% 154.13/154.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.13/154.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat),X3,tc_nat) = X4
% 154.13/154.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X4,tc_nat) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_12089]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2786,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.13/154.42 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4249_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12021,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.13/154.42 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2786]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12022,plain,
% 154.13/154.42 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 154.13/154.42 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_12021]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2780,plain,
% 154.13/154.42 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.13/154.42 | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 154.13/154.42 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4250_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12009,plain,
% 154.13/154.42 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.13/154.42 | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 154.13/154.42 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2780]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_12010,plain,
% 154.13/154.42 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.13/154.42 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.13/154.42 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.13/154.42 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_12009]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2774,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4251_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11997,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2774]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11998,plain,
% 154.13/154.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11997]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2768,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4252_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11985,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2768]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11986,plain,
% 154.13/154.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11985]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2762,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4253_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11973,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2762]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11974,plain,
% 154.13/154.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.13/154.42 | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11973]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2756,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4254_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11961,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2756]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11962,plain,
% 154.13/154.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.13/154.42 | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11961]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2750,plain,
% 154.13/154.42 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.13/154.42 | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4255_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11949,plain,
% 154.13/154.42 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.13/154.42 | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2750]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11950,plain,
% 154.13/154.42 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.13/154.42 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.13/154.42 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11949]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2744,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.13/154.42 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4256_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11937,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.13/154.42 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2744]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11938,plain,
% 154.13/154.42 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.13/154.42 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 154.13/154.42 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11937]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2730,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 154.13/154.42 | ~ c_lessequals(X1,X3,X2)
% 154.13/154.42 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4260_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11909,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 154.13/154.42 | ~ c_lessequals(X1,X3,X2)
% 154.13/154.42 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2730]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11910,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 154.13/154.42 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.13/154.42 | ~ c_lessequals(X1,X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11909]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2725,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4261_4) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11899,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2725]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11900,plain,
% 154.13/154.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11899]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2720,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4262_4) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11889,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2720]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11890,plain,
% 154.13/154.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11889]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2715,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 154.13/154.42 | ~ c_lessequals(X3,X1,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4263_4) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11879,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 154.13/154.42 | ~ c_lessequals(X3,X1,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2715]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11880,plain,
% 154.13/154.42 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 154.13/154.42 | ~ c_lessequals(X3,X2,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11879]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2707,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4266_3) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11863,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2707]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11864,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11863]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2697,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 154.13/154.42 | ~ c_lessequals(X4,X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4269_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11843,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 154.13/154.42 | ~ c_lessequals(X4,X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2697]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11844,plain,
% 154.13/154.42 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(X2,X3,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X2,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11843]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2695,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4270_1) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11839,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2695]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11840,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11839]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2691,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4270_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11831,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2691]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11832,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11831]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2689,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | ~ c_lessequals(X1,X3,X0)
% 154.13/154.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 154.13/154.42 | ~ c_lessequals(X2,X4,X0) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4271_1) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11827,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | ~ c_lessequals(X1,X3,X0)
% 154.13/154.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 154.13/154.42 | ~ c_lessequals(X2,X4,X0) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2689]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11828,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 154.13/154.42 | ~ c_lessequals(X1,X4,X0)
% 154.13/154.42 | ~ c_lessequals(X2,X3,X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11827]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2685,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_lessequals(X0,X3,X2)
% 154.13/154.42 | ~ c_lessequals(X1,X4,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4271_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11819,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_lessequals(X0,X3,X2)
% 154.13/154.42 | ~ c_lessequals(X1,X4,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2685]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11820,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 154.13/154.42 | ~ c_lessequals(X1,X3,X0)
% 154.13/154.42 | ~ c_lessequals(X2,X4,X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11819]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2683,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | ~ c_lessequals(X1,X3,X0)
% 154.13/154.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 154.13/154.42 | ~ c_lessequals(X4,X2,X0) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4272_1) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11815,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | ~ c_lessequals(X1,X3,X0)
% 154.13/154.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 154.13/154.42 | ~ c_lessequals(X4,X2,X0) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2683]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11816,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 154.13/154.42 | ~ c_lessequals(X1,X4,X0)
% 154.13/154.42 | ~ c_lessequals(X3,X2,X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11815]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2679,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_lessequals(X0,X3,X2)
% 154.13/154.42 | ~ c_lessequals(X1,X4,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4272_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11807,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_lessequals(X0,X3,X2)
% 154.13/154.42 | ~ c_lessequals(X1,X4,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2679]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11808,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X1,X4,X0),X0)
% 154.13/154.42 | ~ c_lessequals(X3,X1,X0)
% 154.13/154.42 | ~ c_lessequals(X2,X4,X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11807]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2673,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_lessequals(X0,X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4273_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11795,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_lessequals(X0,X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2673]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11796,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(X2,X3,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11795]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2667,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.13/154.42 | ~ c_lessequals(X1,X4,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4274_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11783,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.13/154.42 | ~ c_lessequals(X1,X4,X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2667]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11784,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_lessequals(X2,X3,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11783]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2663,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.13/154.42 | ~ c_lessequals(X1,X2,X0)
% 154.13/154.42 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.13/154.42 | ~ c_lessequals(X3,X4,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4275_3) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11775,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.13/154.42 | ~ c_lessequals(X1,X2,X0)
% 154.13/154.42 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.13/154.42 | ~ c_lessequals(X3,X4,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2663]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11776,plain,
% 154.13/154.42 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0)
% 154.13/154.42 | ~ c_lessequals(X4,X2,X0)
% 154.13/154.42 | ~ c_lessequals(X1,X3,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X4,X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11775]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2661,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_lessequals(X0,X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 154.13/154.42 | ~ c_lessequals(X4,X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4275_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11771,plain,
% 154.13/154.42 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_lessequals(X0,X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 154.13/154.42 | ~ c_lessequals(X4,X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2661]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11772,plain,
% 154.13/154.42 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0)
% 154.13/154.42 | ~ c_lessequals(X1,X3,X0)
% 154.13/154.42 | ~ c_lessequals(X4,X2,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X4,X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11771]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2659,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4276_1) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11767,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2659]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11768,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11767]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2652,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.13/154.42 | ~ c_lessequals(X3,X4,X0) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4277_2) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11753,plain,
% 154.13/154.42 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.13/154.42 | ~ c_lessequals(X3,X4,X0) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2652]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11754,plain,
% 154.13/154.42 ( ~ c_lessequals(X0,X1,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X4,X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11753]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2649,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_lessequals(X0,X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X4,X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4277_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11747,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_lessequals(X0,X3,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X4,X1,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2649]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11748,plain,
% 154.13/154.42 ( ~ c_lessequals(X0,X1,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X4,X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11747]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2647,plain,
% 154.13/154.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.13/154.42 | ~ c_lessequals(X1,X2,tc_nat)
% 154.13/154.42 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.13/154.42 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4278_1) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11743,plain,
% 154.13/154.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.13/154.42 | ~ c_lessequals(X1,X2,tc_nat)
% 154.13/154.42 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.13/154.42 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2647]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11744,plain,
% 154.13/154.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.13/154.42 | ~ c_lessequals(X0,X2,tc_nat)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 154.13/154.42 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11743]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2645,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.13/154.42 | ~ c_lessequals(X2,X0,tc_nat)
% 154.13/154.42 | ~ c_lessequals(X2,X1,tc_nat)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4278_3) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11739,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.13/154.42 | ~ c_lessequals(X2,X0,tc_nat)
% 154.13/154.42 | ~ c_lessequals(X2,X1,tc_nat)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2645]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11740,plain,
% 154.13/154.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.13/154.42 | ~ c_lessequals(X0,X2,tc_nat)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 154.13/154.42 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11739]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2634,plain,
% 154.13/154.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1),X1)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4281_2) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11717,plain,
% 154.13/154.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1),X1)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2634]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11718,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.13/154.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11717]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2631,plain,
% 154.13/154.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),X1)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4282_2) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11711,plain,
% 154.13/154.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),X1)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2631]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11712,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.13/154.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11711]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2621,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.13/154.42 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4285_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11691,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.13/154.42 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2621]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11692,plain,
% 154.13/154.42 ( ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 154.13/154.42 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X0,X2,X3),X3)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11691]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2615,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.13/154.42 | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.13/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4286_5) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11679,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.13/154.42 | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.13/154.42 inference(copy,[status(esa)],[c_2615]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_11680,plain,
% 154.13/154.42 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 154.13/154.42 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X0,X2,X3),X3)
% 154.13/154.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.13/154.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.13/154.42 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.13/154.42 inference(rewriting,[status(thm)],[c_11679]) ).
% 154.13/154.42
% 154.13/154.42 cnf(c_2609,plain,
% 154.13/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.13/154.42 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 154.13/154.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 154.27/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.42 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.42 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4287_5) ).
% 154.27/154.42
% 154.27/154.42 cnf(c_11667,plain,
% 154.27/154.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.42 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 154.27/154.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 154.27/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.42 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.42 inference(copy,[status(esa)],[c_2609]) ).
% 154.27/154.42
% 154.27/154.42 cnf(c_11668,plain,
% 154.27/154.42 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.27/154.42 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 154.27/154.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.42 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11667]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2603,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4288_5) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11655,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2603]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11656,plain,
% 154.27/154.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11655]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2597,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4289_5) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11643,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2597]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11644,plain,
% 154.27/154.43 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 154.27/154.43 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11643]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2591,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.43 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 154.27/154.43 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4290_5) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11631,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.43 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 154.27/154.43 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2591]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11632,plain,
% 154.27/154.43 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 154.27/154.43 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11631]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2585,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.43 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.43 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4291_5) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11619,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.43 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.43 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2585]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11620,plain,
% 154.27/154.43 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.43 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 154.27/154.43 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11619]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2579,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.43 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),X3,X1)
% 154.27/154.43 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4292_5) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11607,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.43 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),X3,X1)
% 154.27/154.43 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2579]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11608,plain,
% 154.27/154.43 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.27/154.43 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11607]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2576,plain,
% 154.27/154.43 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4293_2) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11601,plain,
% 154.27/154.43 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2576]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11602,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11601]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2573,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,X1),X3,X1)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4293_5) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11595,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,X1),X3,X1)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2573]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11596,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11595]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2567,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4294_5) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11583,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2567]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11584,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11583]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2561,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4295_5) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11571,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2561]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11572,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11571]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2555,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4296_5) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11559,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2555]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11560,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11559]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2549,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4297_5) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11547,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2549]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11548,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11547]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2546,plain,
% 154.27/154.43 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4298_2) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11541,plain,
% 154.27/154.43 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2546]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11542,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11541]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2543,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4298_5) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11535,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2543]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11536,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11535]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2537,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4299_5) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11523,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2537]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11524,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11523]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2524,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4302_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11497,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2524]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11498,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11497]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2520,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4303_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11489,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2520]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11490,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11489]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2516,plain,
% 154.27/154.43 ( c_lessequals(X0,X1,X2)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4304_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11481,plain,
% 154.27/154.43 ( c_lessequals(X0,X1,X2)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2516]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11482,plain,
% 154.27/154.43 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 154.27/154.43 | c_lessequals(X1,X3,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11481]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2512,plain,
% 154.27/154.43 ( c_lessequals(X0,X1,X2)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4305_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11473,plain,
% 154.27/154.43 ( c_lessequals(X0,X1,X2)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2512]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11474,plain,
% 154.27/154.43 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.43 | c_lessequals(X2,X3,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11473]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2508,plain,
% 154.27/154.43 ( c_lessequals(X0,X1,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4306_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11465,plain,
% 154.27/154.43 ( c_lessequals(X0,X1,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2508]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11466,plain,
% 154.27/154.43 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.43 | c_lessequals(X1,X3,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11465]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2504,plain,
% 154.27/154.43 ( c_lessequals(X0,X1,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4307_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11457,plain,
% 154.27/154.43 ( c_lessequals(X0,X1,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2504]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11458,plain,
% 154.27/154.43 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.43 | c_lessequals(X3,X1,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11457]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2468,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4316_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11385,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2468]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11386,plain,
% 154.27/154.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11385]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2448,plain,
% 154.27/154.43 ( c_lessequals(X0,X1,tc_nat)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4322_2) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11345,plain,
% 154.27/154.43 ( c_lessequals(X0,X1,tc_nat)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2448]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11346,plain,
% 154.27/154.43 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 154.27/154.43 | c_lessequals(X0,X2,tc_nat)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11345]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2443,plain,
% 154.27/154.43 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 154.27/154.43 | ~ c_lessequals(X3,X1,tc_nat)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.43 | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4323_4) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11335,plain,
% 154.27/154.43 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 154.27/154.43 | ~ c_lessequals(X3,X1,tc_nat)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.43 | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2443]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11336,plain,
% 154.27/154.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 154.27/154.43 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 154.27/154.43 | ~ c_lessequals(X3,X2,tc_nat) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11335]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2438,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4324_4) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11325,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2438]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11326,plain,
% 154.27/154.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11325]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2434,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4325_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11317,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2434]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11318,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11317]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2430,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4326_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11309,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2430]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11310,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11309]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2416,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4330_4) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11281,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2416]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11282,plain,
% 154.27/154.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11281]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2412,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4331_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11273,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2412]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11274,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11273]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2408,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4332_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11265,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2408]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11266,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11265]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2404,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4333_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11257,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2404]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11258,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11257]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2400,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4334_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11249,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2400]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11250,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11249]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2395,plain,
% 154.27/154.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4337_0) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11239,plain,
% 154.27/154.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2395]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11240,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11239]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2392,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4337_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11233,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2392]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11234,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11233]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2391,plain,
% 154.27/154.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4338_0) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11231,plain,
% 154.27/154.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2391]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11232,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11231]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2388,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4338_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11225,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2388]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11226,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11225]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2378,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4340_4) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11205,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2378]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11206,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11205]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2373,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4341_4) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11195,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2373]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11196,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11195]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2368,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4342_4) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11185,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2368]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11186,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11185]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2363,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X2,X3),X1,X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4343_4) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11175,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X2,X3),X1,X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2363]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11176,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11175]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2358,plain,
% 154.27/154.43 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4344_4) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11165,plain,
% 154.27/154.43 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2358]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11166,plain,
% 154.27/154.43 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.27/154.43 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11165]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2343,plain,
% 154.27/154.43 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X2,X3),X1,X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4347_4) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11135,plain,
% 154.27/154.43 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 154.27/154.43 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X2,X3),X1,X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2343]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11136,plain,
% 154.27/154.43 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.27/154.43 | c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11135]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2339,plain,
% 154.27/154.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.43 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,X1),c_Power_Opower__class_Opower(X0,X3,X1),X1) = c_Power_Opower__class_Opower(X0,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X1)
% 154.27/154.43 | ~ c_lessequals(X3,X2,tc_nat)
% 154.27/154.43 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4348_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11127,plain,
% 154.27/154.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.43 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,X1),c_Power_Opower__class_Opower(X0,X3,X1),X1) = c_Power_Opower__class_Opower(X0,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X1)
% 154.27/154.43 | ~ c_lessequals(X3,X2,tc_nat)
% 154.27/154.43 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2339]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11128,plain,
% 154.27/154.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.43 | ~ class_Ring__and__Field_Ofield(X2)
% 154.27/154.43 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X1,X2),c_Power_Opower__class_Opower(X3,X0,X2),X2) = c_Power_Opower__class_Opower(X3,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2)
% 154.27/154.43 | X3 = c_HOL_Ozero__class_Ozero(X2) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11127]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2335,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4351_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11119,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2335]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11120,plain,
% 154.27/154.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.43 inference(rewriting,[status(thm)],[c_11119]) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_2331,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.27/154.43 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4352_3) ).
% 154.27/154.43
% 154.27/154.43 cnf(c_11111,plain,
% 154.27/154.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.27/154.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.27/154.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.27/154.43 inference(copy,[status(esa)],[c_2331]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_11112,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_11111]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2327,plain,
% 154.27/154.44 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4353_3) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_11103,plain,
% 154.27/154.44 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2327]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_11104,plain,
% 154.27/154.44 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.27/154.44 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_11103]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2323,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4354_3) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_11095,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2323]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_11096,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.27/154.44 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_11095]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2317,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X2,X1,tc_nat)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_lessequals(X2,X0,tc_nat) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4357_1) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_11083,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X2,X1,tc_nat)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_lessequals(X2,X0,tc_nat) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2317]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_11084,plain,
% 154.27/154.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X0,X2,tc_nat)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_11083]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2315,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_lessequals(X1,X0,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X1,X2,tc_nat)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4357_3) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_11079,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_lessequals(X1,X0,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X1,X2,tc_nat)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2315]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_11080,plain,
% 154.27/154.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X0,X2,tc_nat)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_11079]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2310,plain,
% 154.27/154.44 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.44 | ~ c_lessequals(X1,X2,X0)
% 154.27/154.44 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 154.27/154.44 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4359_0) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_11069,plain,
% 154.27/154.44 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.44 | ~ c_lessequals(X1,X2,X0)
% 154.27/154.44 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 154.27/154.44 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2310]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_11070,plain,
% 154.27/154.44 ( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 154.27/154.44 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 154.27/154.44 | ~ c_lessequals(X2,X4,X3)
% 154.27/154.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_11069]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2294,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X1,X2,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4364_2) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_11037,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X1,X2,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2294]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_11038,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_11037]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2276,plain,
% 154.27/154.44 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X1,X0,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4370_2) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_11001,plain,
% 154.27/154.44 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X1,X0,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2276]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_11002,plain,
% 154.27/154.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X0,X2,tc_nat)
% 154.27/154.44 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_11001]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2267,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4373_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10983,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2267]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10984,plain,
% 154.27/154.44 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.44 | ~ c_lessequals(X2,X3,X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10983]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2262,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_lessequals(X3,X0,X2)
% 154.27/154.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4374_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10973,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_lessequals(X3,X0,X2)
% 154.27/154.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2262]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10974,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ c_lessequals(X3,X0,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10973]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2252,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.44 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.44 | X1 = X3
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4379_1) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10953,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.44 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.44 | X1 = X3
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2252]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10954,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 154.27/154.44 | c_Power_Opower__class_Opower(X2,X3,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 154.27/154.44 | X2 = X1 ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10953]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2248,plain,
% 154.27/154.44 ( X0 = X1
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 154.27/154.44 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4379_5) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10945,plain,
% 154.27/154.44 ( X0 = X1
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 154.27/154.44 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2248]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10946,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 154.27/154.44 | c_Power_Opower__class_Opower(X1,X3,X0) != c_Power_Opower__class_Opower(X2,X3,X0)
% 154.27/154.44 | X1 = X2 ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10945]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2232,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.44 | ~ c_lessequals(X3,X1,X2)
% 154.27/154.44 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4383_3) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10913,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.44 | ~ c_lessequals(X3,X1,X2)
% 154.27/154.44 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2232]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10914,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.44 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ c_lessequals(X3,X1,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10913]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2228,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_lessequals(X3,X0,X2)
% 154.27/154.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4384_3) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10905,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_lessequals(X3,X0,X2)
% 154.27/154.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2228]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10906,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ c_lessequals(X3,X0,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10905]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2216,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4387_3) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10881,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2216]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10882,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10881]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2188,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4394_3) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10825,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2188]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10826,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10825]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2180,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4396_3) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10809,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2180]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10810,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10809]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2176,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4397_3) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10801,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2176]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10802,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10801]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2172,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.44 | ~ c_lessequals(X1,X3,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4398_3) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10793,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.44 | ~ c_lessequals(X1,X3,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2172]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10794,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.44 | ~ c_lessequals(X1,X3,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10793]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2168,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ c_lessequals(X3,X1,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4399_3) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10785,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ c_lessequals(X3,X1,X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2168]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10786,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.44 | ~ c_lessequals(X3,X1,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10785]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2162,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 154.27/154.44 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4401_1) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10773,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 154.27/154.44 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2162]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10774,plain,
% 154.27/154.44 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 154.27/154.44 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10773]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2159,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4401_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10767,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2159]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10768,plain,
% 154.27/154.44 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0)
% 154.27/154.44 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10767]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2157,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 154.27/154.44 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4402_1) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10763,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 154.27/154.44 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2157]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10764,plain,
% 154.27/154.44 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 154.27/154.44 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10763]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2154,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.44 | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4402_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10757,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.44 | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2154]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10758,plain,
% 154.27/154.44 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0)
% 154.27/154.44 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10757]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2150,plain,
% 154.27/154.44 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 154.27/154.44 | ~ c_lessequals(X1,X3,tc_nat)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4403_3) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10749,plain,
% 154.27/154.44 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 154.27/154.44 | ~ c_lessequals(X1,X3,tc_nat)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2150]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10750,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.44 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 154.27/154.44 | ~ c_lessequals(X2,X3,tc_nat)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10749]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2132,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4408_5) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10713,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2132]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10714,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10713]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2126,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4409_5) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10701,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2126]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10702,plain,
% 154.27/154.44 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10701]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2124,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4410_1) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10697,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2124]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10698,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10697]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2120,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4410_5) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10689,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2120]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10690,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10689]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2118,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4411_1) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10685,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2118]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10686,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10685]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2104,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 154.27/154.44 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 154.27/154.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4414_3) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10657,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 154.27/154.44 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 154.27/154.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2104]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10658,plain,
% 154.27/154.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 154.27/154.44 | ~ c_lessequals(X1,X2,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10657]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2102,plain,
% 154.27/154.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4415_1) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10653,plain,
% 154.27/154.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2102]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10654,plain,
% 154.27/154.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10653]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2098,plain,
% 154.27/154.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 154.27/154.44 | ~ c_lessequals(X1,X2,X0)
% 154.27/154.44 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 154.27/154.44 | ~ c_lessequals(X3,X4,X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4416_1) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10645,plain,
% 154.27/154.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 154.27/154.44 | ~ c_lessequals(X1,X2,X0)
% 154.27/154.44 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 154.27/154.44 | ~ c_lessequals(X3,X4,X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2098]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10646,plain,
% 154.27/154.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 154.27/154.44 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 154.27/154.44 | ~ c_lessequals(X2,X4,X0)
% 154.27/154.44 | ~ c_lessequals(X1,X3,X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10645]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2024,plain,
% 154.27/154.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_lessequals(X2,X3,tc_nat) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4447_1) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10497,plain,
% 154.27/154.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_lessequals(X2,X3,tc_nat) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2024]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10498,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_lessequals(X1,X3,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10497]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2021,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4448_1) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10491,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2021]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10492,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10491]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2015,plain,
% 154.27/154.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.44 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_lessequals(X2,X3,tc_nat) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4450_1) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10479,plain,
% 154.27/154.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.44 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_lessequals(X2,X3,tc_nat) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2015]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10480,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_lessequals(X1,X3,tc_nat)
% 154.27/154.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10479]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2012,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4451_1) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10473,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2012]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10474,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10473]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2009,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4452_1) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10467,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2009]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10468,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10467]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2007,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4452_3) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10463,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2007]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10464,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10463]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2005,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4453_1) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10459,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2005]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10460,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10459]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_2003,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4453_3) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10455,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_2003]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10456,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10455]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_1985,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4465_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10419,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_1985]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10420,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10419]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_1980,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4466_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10409,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_1980]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10410,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10409]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_1975,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4467_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10399,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_1975]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10400,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10399]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_1970,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4468_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10389,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_1970]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10390,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10389]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_1965,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4469_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10379,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_1965]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10380,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10379]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_1964,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4470_0) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10377,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_1964]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10378,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10377]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_1959,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4471_0) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10367,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_1959]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10368,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10367]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_1955,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4471_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10359,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_1955]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10360,plain,
% 154.27/154.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10359]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_1950,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4472_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10349,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_1950]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10350,plain,
% 154.27/154.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10349]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_1945,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4473_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10339,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_1945]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10340,plain,
% 154.27/154.44 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10339]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_1940,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4474_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10329,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_1940]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10330,plain,
% 154.27/154.44 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10329]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_1935,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4475_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10319,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_1935]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10320,plain,
% 154.27/154.44 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10319]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_1930,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4476_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10309,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_1930]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10310,plain,
% 154.27/154.44 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.44 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10309]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_1925,plain,
% 154.27/154.44 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4477_4) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10299,plain,
% 154.27/154.44 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_1925]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10300,plain,
% 154.27/154.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10299]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_1924,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.44 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4478_0) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10297,plain,
% 154.27/154.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.44 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.44 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.44 inference(copy,[status(esa)],[c_1924]) ).
% 154.27/154.44
% 154.27/154.44 cnf(c_10298,plain,
% 154.27/154.44 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.44 inference(rewriting,[status(thm)],[c_10297]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1920,plain,
% 154.27/154.45 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4478_4) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10289,plain,
% 154.27/154.45 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1920]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10290,plain,
% 154.27/154.45 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10289]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1919,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4479_0) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10287,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1919]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10288,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10287]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1910,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4480_4) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10269,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1910]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10270,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10269]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1894,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4486_5) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10237,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1894]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10238,plain,
% 154.27/154.45 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10237]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1888,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4487_5) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10225,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1888]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10226,plain,
% 154.27/154.45 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10225]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1885,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4488_2) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10219,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1885]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10220,plain,
% 154.27/154.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10219]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1882,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4488_5) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10213,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1882]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10214,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10213]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1879,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4489_2) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10207,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1879]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10208,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10207]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1876,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4489_5) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10201,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1876]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10202,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10201]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1872,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4490_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10193,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1872]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10194,plain,
% 154.27/154.45 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10193]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1868,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4491_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10185,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1868]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10186,plain,
% 154.27/154.45 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10185]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1864,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4492_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10177,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1864]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10178,plain,
% 154.27/154.45 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10177]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1860,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4493_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10169,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1860]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10170,plain,
% 154.27/154.45 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10169]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1856,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4494_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10161,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1856]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10162,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10161]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1855,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4495_0) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10159,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1855]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10160,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10159]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1851,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4496_0) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10151,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1851]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10152,plain,
% 154.27/154.45 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10151]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1848,plain,
% 154.27/154.45 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4496_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10145,plain,
% 154.27/154.45 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1848]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10146,plain,
% 154.27/154.45 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10145]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1844,plain,
% 154.27/154.45 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4497_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10137,plain,
% 154.27/154.45 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1844]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10138,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10137]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1842,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.45 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.45 | X1 = X3
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4498_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10133,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.45 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.45 | X1 = X3
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1842]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10134,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 154.27/154.45 | X2 = X1 ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10133]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1839,plain,
% 154.27/154.45 ( X0 = X1
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.45 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4498_4) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10127,plain,
% 154.27/154.45 ( X0 = X1
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.45 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1839]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10128,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 154.27/154.45 | X1 = X2 ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10127]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1833,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4502_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10115,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1833]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10116,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10115]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1831,plain,
% 154.27/154.45 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.45 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 154.27/154.45 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4503_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10111,plain,
% 154.27/154.45 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.45 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 154.27/154.45 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1831]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10112,plain,
% 154.27/154.45 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.27/154.45 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 154.27/154.45 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10111]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1828,plain,
% 154.27/154.45 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4504_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10105,plain,
% 154.27/154.45 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1828]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10106,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10105]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1822,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4505_4) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10093,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1822]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10094,plain,
% 154.27/154.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10093]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1817,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4506_4) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10083,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1817]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10084,plain,
% 154.27/154.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10083]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1815,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4507_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10079,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1815]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10080,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10079]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1810,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4508_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10069,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1810]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10070,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10069]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1805,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4509_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10059,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1805]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10060,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10059]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1800,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4510_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10049,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1800]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10050,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10049]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1792,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4511_4) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10033,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1792]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10034,plain,
% 154.27/154.45 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10033]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1787,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4512_4) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10023,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1787]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_10024,plain,
% 154.27/154.45 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_10023]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1765,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4519_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9979,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1765]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9980,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9979]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1757,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4521_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9963,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1757]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9964,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9963]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1753,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4522_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9955,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1753]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9956,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9955]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1749,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4523_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9947,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1749]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9948,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9947]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1745,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4524_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9939,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1745]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9940,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9939]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1735,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4526_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9919,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1735]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9920,plain,
% 154.27/154.45 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9919]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1733,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4527_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9915,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1733]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9916,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9915]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1729,plain,
% 154.27/154.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4528_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9907,plain,
% 154.27/154.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1729]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9908,plain,
% 154.27/154.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.45 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9907]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1723,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4529_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9895,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1723]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9896,plain,
% 154.27/154.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9895]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1719,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4530_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9887,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1719]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9888,plain,
% 154.27/154.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9887]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1711,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4532_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9871,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1711]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9872,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9871]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1705,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4534_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9859,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1705]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9860,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9859]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1701,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4535_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9851,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1701]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9852,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9851]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1689,plain,
% 154.27/154.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4538_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9827,plain,
% 154.27/154.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1689]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9828,plain,
% 154.27/154.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9827]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1667,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4543_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9783,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1667]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9784,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9783]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1663,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4544_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9775,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1663]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9776,plain,
% 154.27/154.45 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9775]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1659,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4545_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9767,plain,
% 154.27/154.45 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1659]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9768,plain,
% 154.27/154.45 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9767]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1651,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4547_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9751,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1651]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9752,plain,
% 154.27/154.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9751]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1649,plain,
% 154.27/154.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4548_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9747,plain,
% 154.27/154.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1649]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9748,plain,
% 154.27/154.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9747]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1639,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4550_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9727,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1639]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9728,plain,
% 154.27/154.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9727]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1637,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4551_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9723,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1637]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9724,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9723]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1633,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4552_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9715,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1633]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9716,plain,
% 154.27/154.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9715]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1629,plain,
% 154.27/154.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4553_1) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9707,plain,
% 154.27/154.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1629]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9708,plain,
% 154.27/154.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9707]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1621,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4556_2) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9691,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1621]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9692,plain,
% 154.27/154.45 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9691]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1618,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4557_2) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9685,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1618]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9686,plain,
% 154.27/154.45 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 154.27/154.45 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9685]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1586,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4567_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9621,plain,
% 154.27/154.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(copy,[status(esa)],[c_1586]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9622,plain,
% 154.27/154.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 154.27/154.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.45 inference(rewriting,[status(thm)],[c_9621]) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_1582,plain,
% 154.27/154.45 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.45 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4568_3) ).
% 154.27/154.45
% 154.27/154.45 cnf(c_9613,plain,
% 154.27/154.45 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.45 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1582]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9614,plain,
% 154.27/154.46 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.46 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9613]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1577,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 154.27/154.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4569_4) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9603,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 154.27/154.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1577]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9604,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.27/154.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9603]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1573,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4570_3) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9595,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1573]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9596,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9595]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1569,plain,
% 154.27/154.46 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 154.27/154.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4571_3) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9587,plain,
% 154.27/154.46 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 154.27/154.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1569]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9588,plain,
% 154.27/154.46 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 154.27/154.46 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9587]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1564,plain,
% 154.27/154.46 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.27/154.46 | ~ c_lessequals(X0,X1,X3)
% 154.27/154.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4572_4) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9577,plain,
% 154.27/154.46 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 154.27/154.46 | ~ c_lessequals(X0,X1,X3)
% 154.27/154.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1564]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9578,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.27/154.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X1,X0),X0)
% 154.27/154.46 | ~ c_lessequals(X2,X3,X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9577]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1559,plain,
% 154.27/154.46 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 154.27/154.46 | ~ c_lessequals(X0,X2,X3)
% 154.27/154.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4573_4) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9567,plain,
% 154.27/154.46 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 154.27/154.46 | ~ c_lessequals(X0,X2,X3)
% 154.27/154.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1559]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9568,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.27/154.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 154.27/154.46 | ~ c_lessequals(X2,X3,X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9567]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1548,plain,
% 154.27/154.46 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4576_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9545,plain,
% 154.27/154.46 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1548]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9546,plain,
% 154.27/154.46 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.46 | c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9545]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1544,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4577_3) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9537,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1544]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9538,plain,
% 154.27/154.46 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9537]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1508,plain,
% 154.27/154.46 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4593_1) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9465,plain,
% 154.27/154.46 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1508]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9466,plain,
% 154.27/154.46 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9465]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1496,plain,
% 154.27/154.46 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.46 | ~ c_lessequals(X1,X2,X0)
% 154.27/154.46 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 154.27/154.46 | ~ c_lessequals(X3,X2,X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4596_1) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9441,plain,
% 154.27/154.46 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.46 | ~ c_lessequals(X1,X2,X0)
% 154.27/154.46 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 154.27/154.46 | ~ c_lessequals(X3,X2,X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1496]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9442,plain,
% 154.27/154.46 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.46 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 154.27/154.46 | ~ c_lessequals(X2,X3,X0)
% 154.27/154.46 | ~ c_lessequals(X1,X3,X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9441]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1484,plain,
% 154.27/154.46 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.46 | ~ c_lessequals(X1,X2,X0)
% 154.27/154.46 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 154.27/154.46 | ~ c_lessequals(X1,X3,X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4599_1) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9417,plain,
% 154.27/154.46 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.46 | ~ c_lessequals(X1,X2,X0)
% 154.27/154.46 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 154.27/154.46 | ~ c_lessequals(X1,X3,X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1484]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9418,plain,
% 154.27/154.46 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.46 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 154.27/154.46 | ~ c_lessequals(X1,X3,X0)
% 154.27/154.46 | ~ c_lessequals(X1,X2,X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9417]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1480,plain,
% 154.27/154.46 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4600_1) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9409,plain,
% 154.27/154.46 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1480]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9410,plain,
% 154.27/154.46 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9409]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1476,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.27/154.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4601_1) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9401,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.27/154.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1476]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9402,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9401]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1470,plain,
% 154.27/154.46 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 154.27/154.46 | ~ c_lessequals(X1,X2,tc_nat)
% 154.27/154.46 | X0 = X2
% 154.27/154.46 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4603_1) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9389,plain,
% 154.27/154.46 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 154.27/154.46 | ~ c_lessequals(X1,X2,tc_nat)
% 154.27/154.46 | X0 = X2
% 154.27/154.46 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1470]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9390,plain,
% 154.27/154.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.46 | ~ c_lessequals(X0,X2,tc_nat)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 154.27/154.46 | X2 = X1 ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9389]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1468,plain,
% 154.27/154.46 ( X0 = X1
% 154.27/154.46 | ~ c_lessequals(X2,X0,tc_nat)
% 154.27/154.46 | ~ c_lessequals(X2,X1,tc_nat)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4603_3) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9385,plain,
% 154.27/154.46 ( X0 = X1
% 154.27/154.46 | ~ c_lessequals(X2,X0,tc_nat)
% 154.27/154.46 | ~ c_lessequals(X2,X1,tc_nat)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1468]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9386,plain,
% 154.27/154.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.46 | ~ c_lessequals(X0,X2,tc_nat)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 154.27/154.46 | X1 = X2 ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9385]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1465,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4604_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9379,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1465]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9380,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.27/154.46 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9379]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1462,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4605_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9373,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1462]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9374,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9373]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1459,plain,
% 154.27/154.46 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4606_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9367,plain,
% 154.27/154.46 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1459]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9368,plain,
% 154.27/154.46 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9367]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1456,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4607_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9361,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1456]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9362,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9361]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1453,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4608_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9355,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1453]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9356,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9355]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1450,plain,
% 154.27/154.46 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4609_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9349,plain,
% 154.27/154.46 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1450]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9350,plain,
% 154.27/154.46 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 154.27/154.46 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9349]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1392,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4638_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9233,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1392]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9234,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9233]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1389,plain,
% 154.27/154.46 ( c_lessequals(X0,X1,X2)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4639_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9227,plain,
% 154.27/154.46 ( c_lessequals(X0,X1,X2)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1389]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9228,plain,
% 154.27/154.46 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.46 | c_lessequals(X0,X1,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9227]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1388,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4640_0) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9225,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1388]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9226,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9225]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1385,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4640_3) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9219,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1385]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9220,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9219]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1384,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4641_0) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9217,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1384]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9218,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9217]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1381,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4641_3) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9211,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1381]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9212,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9211]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1380,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 154.27/154.46 | ~ c_lessequals(X4,X3,X0)
% 154.27/154.46 | c_lessequals(X2,X1,X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4642_0) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9209,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 154.27/154.46 | ~ c_lessequals(X4,X3,X0)
% 154.27/154.46 | c_lessequals(X2,X1,X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1380]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9210,plain,
% 154.27/154.46 ( ~ c_lessequals(X0,X1,X2)
% 154.27/154.46 | c_lessequals(X3,X4,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9209]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1377,plain,
% 154.27/154.46 ( c_lessequals(X0,X1,X2)
% 154.27/154.46 | ~ c_lessequals(X3,X4,X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4642_3) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9203,plain,
% 154.27/154.46 ( c_lessequals(X0,X1,X2)
% 154.27/154.46 | ~ c_lessequals(X3,X4,X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1377]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9204,plain,
% 154.27/154.46 ( c_lessequals(X0,X1,X2)
% 154.27/154.46 | ~ c_lessequals(X3,X4,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9203]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1376,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 154.27/154.46 | ~ c_lessequals(X2,X1,X0)
% 154.27/154.46 | c_lessequals(X4,X3,X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4643_0) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9201,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 154.27/154.46 | ~ c_lessequals(X2,X1,X0)
% 154.27/154.46 | c_lessequals(X4,X3,X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1376]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9202,plain,
% 154.27/154.46 ( ~ c_lessequals(X0,X1,X2)
% 154.27/154.46 | c_lessequals(X3,X4,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9201]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1373,plain,
% 154.27/154.46 ( c_lessequals(X0,X1,X2)
% 154.27/154.46 | ~ c_lessequals(X3,X4,X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4643_3) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9195,plain,
% 154.27/154.46 ( c_lessequals(X0,X1,X2)
% 154.27/154.46 | ~ c_lessequals(X3,X4,X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1373]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9196,plain,
% 154.27/154.46 ( c_lessequals(X0,X1,X2)
% 154.27/154.46 | ~ c_lessequals(X3,X4,X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9195]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1330,plain,
% 154.27/154.46 ( c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1)
% 154.27/154.46 | ~ c_lessequals(X2,X0,tc_nat)
% 154.27/154.46 | ~ class_Ring__and__Field_Oring__1(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4660_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9109,plain,
% 154.27/154.46 ( c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1)
% 154.27/154.46 | ~ c_lessequals(X2,X0,tc_nat)
% 154.27/154.46 | ~ class_Ring__and__Field_Oring__1(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1330]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9110,plain,
% 154.27/154.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.46 | ~ class_Ring__and__Field_Oring__1(X2)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X0,X2),X2) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9109]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1323,plain,
% 154.27/154.46 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4674_0) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9095,plain,
% 154.27/154.46 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1323]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9096,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 154.27/154.46 | c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9095]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1310,plain,
% 154.27/154.46 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.46 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 154.27/154.46 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 154.27/154.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4680_1) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9069,plain,
% 154.27/154.46 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.46 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 154.27/154.46 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 154.27/154.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1310]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9070,plain,
% 154.27/154.46 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 154.27/154.46 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 154.27/154.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9069]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1307,plain,
% 154.27/154.46 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X3,X4,X2)
% 154.27/154.46 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 154.27/154.46 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 154.27/154.46 | c_HOL_Oinverse__class_Odivide(X0,X4,X2) != c_HOL_Oinverse__class_Odivide(X3,X1,X2)
% 154.27/154.46 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4680_4) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9063,plain,
% 154.27/154.46 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X3,X4,X2)
% 154.27/154.46 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 154.27/154.46 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 154.27/154.46 | c_HOL_Oinverse__class_Odivide(X0,X4,X2) != c_HOL_Oinverse__class_Odivide(X3,X1,X2)
% 154.27/154.46 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1307]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9064,plain,
% 154.27/154.46 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 154.27/154.46 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 154.27/154.46 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9063]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1305,plain,
% 154.27/154.46 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 154.27/154.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 154.27/154.46 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4681_1) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9059,plain,
% 154.27/154.46 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 154.27/154.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 154.27/154.46 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1305]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9060,plain,
% 154.27/154.46 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 154.27/154.46 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 154.27/154.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9059]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1300,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.46 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.46 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4682_1) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9049,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.46 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.46 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1300]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9050,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.46 | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9049]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1297,plain,
% 154.27/154.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 154.27/154.46 | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4682_4) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9043,plain,
% 154.27/154.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 154.27/154.46 | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1297]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9044,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.46 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9043]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1295,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.46 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4683_1) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9039,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.46 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1295]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9040,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.46 | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9039]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1292,plain,
% 154.27/154.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.46 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4683_4) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9033,plain,
% 154.27/154.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.46 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1292]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_9034,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.46 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_9033]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1262,plain,
% 154.27/154.46 ( X0 = X1
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 154.27/154.46 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4691_3) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8973,plain,
% 154.27/154.46 ( X0 = X1
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 154.27/154.46 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1262]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8974,plain,
% 154.27/154.46 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.27/154.46 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 154.27/154.46 | X2 = X3 ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8973]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1219,plain,
% 154.27/154.46 ( X0 = X1
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 154.27/154.46 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4711_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8887,plain,
% 154.27/154.46 ( X0 = X1
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 154.27/154.46 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1219]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8888,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.27/154.46 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 154.27/154.46 | X1 = X2 ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8887]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1127,plain,
% 154.27/154.46 ( ~ class_Orderings_Opreorder(X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.27/154.46 | ~ c_lessequals(X3,X1,X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4750_1) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8703,plain,
% 154.27/154.46 ( ~ class_Orderings_Opreorder(X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.27/154.46 | ~ c_lessequals(X3,X1,X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1127]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8704,plain,
% 154.27/154.46 ( ~ class_Orderings_Opreorder(X0)
% 154.27/154.46 | ~ c_lessequals(X1,X2,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8703]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1125,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.27/154.46 | ~ class_Orderings_Opreorder(X2) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4750_3) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8699,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.27/154.46 | ~ class_Orderings_Opreorder(X2) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1125]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8700,plain,
% 154.27/154.46 ( ~ class_Orderings_Opreorder(X0)
% 154.27/154.46 | ~ c_lessequals(X1,X2,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8699]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1119,plain,
% 154.27/154.46 ( ~ class_Orderings_Oorder(X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.27/154.46 | ~ c_lessequals(X2,X3,X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4752_1) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8687,plain,
% 154.27/154.46 ( ~ class_Orderings_Oorder(X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.27/154.46 | ~ c_lessequals(X2,X3,X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1119]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8688,plain,
% 154.27/154.46 ( ~ class_Orderings_Oorder(X0)
% 154.27/154.46 | ~ c_lessequals(X1,X2,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8687]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1117,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | ~ c_lessequals(X3,X1,X2)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.46 | ~ class_Orderings_Oorder(X2) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4752_3) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8683,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | ~ c_lessequals(X3,X1,X2)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.46 | ~ class_Orderings_Oorder(X2) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1117]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8684,plain,
% 154.27/154.46 ( ~ class_Orderings_Oorder(X0)
% 154.27/154.46 | ~ c_lessequals(X1,X2,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8683]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1088,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4762_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8625,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1088]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8626,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X2,X0,X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8625]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1085,plain,
% 154.27/154.46 ( c_lessequals(X0,X1,X2)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4763_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8619,plain,
% 154.27/154.46 ( c_lessequals(X0,X1,X2)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1085]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8620,plain,
% 154.27/154.46 ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 154.27/154.46 | c_lessequals(X2,X0,X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8619]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1065,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.46 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4772_1) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8579,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.46 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1065]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8580,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8579]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1042,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4790_0) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8533,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1042]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8534,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 154.27/154.46 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8533]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1036,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4792_0) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8521,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1036]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8522,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8521]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1030,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 154.27/154.46 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4794_0) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8509,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 154.27/154.46 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1030]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8510,plain,
% 154.27/154.46 ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 154.27/154.46 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8509]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1024,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 154.27/154.46 | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4796_0) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8497,plain,
% 154.27/154.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.46 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 154.27/154.46 | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1024]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8498,plain,
% 154.27/154.46 ( ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 154.27/154.46 | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8497]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1008,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4803_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8465,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1008]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8466,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8465]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_1002,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4805_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8453,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_1002]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8454,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8453]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_999,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4806_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8447,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_999]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8448,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8447]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_996,plain,
% 154.27/154.46 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4807_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8441,plain,
% 154.27/154.46 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_996]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8442,plain,
% 154.27/154.46 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 154.27/154.46 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8441]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_985,plain,
% 154.27/154.46 ( c_lessequals(X0,X1,X2)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.27/154.46 | ~ c_lessequals(X1,X0,X2)
% 154.27/154.46 | ~ class_Orderings_Opreorder(X2) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4811_3) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8419,plain,
% 154.27/154.46 ( c_lessequals(X0,X1,X2)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.27/154.46 | ~ c_lessequals(X1,X0,X2)
% 154.27/154.46 | ~ class_Orderings_Opreorder(X2) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_985]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8420,plain,
% 154.27/154.46 ( ~ class_Orderings_Opreorder(X0)
% 154.27/154.46 | c_lessequals(X1,X2,X0)
% 154.27/154.46 | ~ c_lessequals(X2,X1,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8419]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_933,plain,
% 154.27/154.46 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4829_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8315,plain,
% 154.27/154.46 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_933]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8316,plain,
% 154.27/154.46 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8315]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_921,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4833_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8291,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_921]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8292,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8291]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_910,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4837_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8269,plain,
% 154.27/154.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_910]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8270,plain,
% 154.27/154.46 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.27/154.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8269]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_907,plain,
% 154.27/154.46 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.27/154.46 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4838_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8263,plain,
% 154.27/154.46 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.27/154.46 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_907]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8264,plain,
% 154.27/154.46 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8263]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_904,plain,
% 154.27/154.46 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4839_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8257,plain,
% 154.27/154.46 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_904]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8258,plain,
% 154.27/154.46 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 154.27/154.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8257]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_901,plain,
% 154.27/154.46 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.27/154.46 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4840_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8251,plain,
% 154.27/154.46 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.27/154.46 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_901]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8252,plain,
% 154.27/154.46 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.46 | c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.27/154.46 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8251]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_898,plain,
% 154.27/154.46 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.46 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4841_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8245,plain,
% 154.27/154.46 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 154.27/154.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.46 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_898]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8246,plain,
% 154.27/154.46 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.46 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 154.27/154.46 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8245]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_821,plain,
% 154.27/154.46 ( X0 = X1
% 154.27/154.46 | ~ c_lessequals(X1,X0,tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4866_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8091,plain,
% 154.27/154.46 ( X0 = X1
% 154.27/154.46 | ~ c_lessequals(X1,X0,tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_821]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8092,plain,
% 154.27/154.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.46 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
% 154.27/154.46 | X1 = X0 ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8091]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_811,plain,
% 154.27/154.46 ( X0 = X1
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.27/154.46 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4870_2) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8071,plain,
% 154.27/154.46 ( X0 = X1
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.27/154.46 inference(copy,[status(esa)],[c_811]) ).
% 154.27/154.46
% 154.27/154.46 cnf(c_8072,plain,
% 154.27/154.46 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.27/154.46 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.27/154.46 | X0 = X1 ),
% 154.27/154.46 inference(rewriting,[status(thm)],[c_8071]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_777,plain,
% 154.27/154.47 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4885_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_8003,plain,
% 154.27/154.47 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_777]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_8004,plain,
% 154.27/154.47 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_8003]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_670,plain,
% 154.27/154.47 ( c_Suc(X0) = X1
% 154.27/154.47 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4938_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7789,plain,
% 154.27/154.47 ( c_Suc(X0) = X1
% 154.27/154.47 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_670]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7790,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.47 | c_Suc(X0) = X1 ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_7789]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_614,plain,
% 154.27/154.47 ( c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4963_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7677,plain,
% 154.27/154.47 ( c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_614]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7678,plain,
% 154.27/154.47 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 154.27/154.47 | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_7677]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_604,plain,
% 154.27/154.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Oone__class_Oone(X1)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Osgn__if(X1) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4967_3) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7657,plain,
% 154.27/154.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Oone__class_Oone(X1)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Osgn__if(X1) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_604]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7658,plain,
% 154.27/154.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Osgn__if(X0)
% 154.27/154.47 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0)
% 154.27/154.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_7657]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_598,plain,
% 154.27/154.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | ~ class_Power_Opower(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Omult__zero(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4968_5) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7645,plain,
% 154.27/154.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | ~ class_Power_Opower(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Omult__zero(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_598]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7646,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Omult__zero(X0)
% 154.27/154.47 | ~ class_Power_Opower(X0)
% 154.27/154.47 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_7645]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_593,plain,
% 154.27/154.47 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | ~ class_Power_Opower(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Omult__zero(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4969_4) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7635,plain,
% 154.27/154.47 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | ~ class_Power_Opower(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Omult__zero(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_593]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7636,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Omult__zero(X0)
% 154.27/154.47 | ~ class_Power_Opower(X0)
% 154.27/154.47 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_7635]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_590,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.47 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4970_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7629,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.47 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_590]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7630,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 154.27/154.47 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_7629]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_587,plain,
% 154.27/154.47 ( c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Oone__class_Oone(X1)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4971_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7623,plain,
% 154.27/154.47 ( c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Oone__class_Oone(X1)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_587]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7624,plain,
% 154.27/154.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 154.27/154.47 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_7623]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_584,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.47 | X1 = X0
% 154.27/154.47 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4972_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7617,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.47 | X1 = X0
% 154.27/154.47 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_584]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7618,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.47 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 154.27/154.47 | X1 = X0 ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_7617]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_581,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.47 | X1 = X0
% 154.27/154.47 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4973_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7611,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.47 | X1 = X0
% 154.27/154.47 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_581]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7612,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.47 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 154.27/154.47 | X1 = X0 ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_7611]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_563,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 154.27/154.47 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.27/154.47 | X2 = X1
% 154.27/154.47 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4978_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7575,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 154.27/154.47 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.27/154.47 | X2 = X1
% 154.27/154.47 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_563]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7576,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.47 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 154.27/154.47 | X1 = X0 ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_7575]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_561,plain,
% 154.27/154.47 ( X0 = X1
% 154.27/154.47 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.47 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4978_3) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7571,plain,
% 154.27/154.47 ( X0 = X1
% 154.27/154.47 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.47 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_561]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7572,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.47 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 154.27/154.47 | X0 = X1 ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_7571]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_486,plain,
% 154.27/154.47 ( X0 = X1
% 154.27/154.47 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.47 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5013_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7421,plain,
% 154.27/154.47 ( X0 = X1
% 154.27/154.47 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.47 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_486]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7422,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.47 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 154.27/154.47 | X0 = X1 ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_7421]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_476,plain,
% 154.27/154.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.47 | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Osgn__if(X1) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5016_3) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7401,plain,
% 154.27/154.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.27/154.47 | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Osgn__if(X1) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_476]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7402,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Osgn__if(X0)
% 154.27/154.47 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 154.27/154.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_7401]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_424,plain,
% 154.27/154.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.27/154.47 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | ~ class_Power_Opower(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Omult__zero(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5038_5) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7297,plain,
% 154.27/154.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.27/154.47 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | ~ class_Power_Opower(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Omult__zero(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_424]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7298,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Omult__zero(X0)
% 154.27/154.47 | ~ class_Power_Opower(X0)
% 154.27/154.47 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.47 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_7297]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_421,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5039_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7291,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_421]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_7292,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 154.27/154.47 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_7291]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2898,plain,
% 154.27/154.47 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat)
% 154.27/154.47 | ~ c_lessequals(X3,X0,tc_nat)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat),X2,tc_nat),X4,tc_nat) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4210_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12245,plain,
% 154.27/154.47 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat)
% 154.27/154.47 | ~ c_lessequals(X3,X0,tc_nat)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat),X2,tc_nat),X4,tc_nat) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2898]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12246,plain,
% 154.27/154.47 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat)
% 154.27/154.47 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X4,tc_nat),tc_nat)
% 154.27/154.47 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_12245]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2886,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4214_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12221,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2886]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2880,plain,
% 154.27/154.47 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 154.27/154.47 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4216_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12209,plain,
% 154.27/154.47 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 154.27/154.47 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2880]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2877,plain,
% 154.27/154.47 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat)
% 154.27/154.47 | ~ c_lessequals(X2,X1,tc_nat)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),tc_nat) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4217_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12203,plain,
% 154.27/154.47 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat)
% 154.27/154.47 | ~ c_lessequals(X2,X1,tc_nat)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),tc_nat) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2877]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12204,plain,
% 154.27/154.47 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat)
% 154.27/154.47 | c_lessequals(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat),X4,tc_nat),tc_nat)
% 154.27/154.47 | ~ c_lessequals(X0,X3,tc_nat) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_12203]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2865,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4221_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12179,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2865]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2859,plain,
% 154.27/154.47 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4223_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12167,plain,
% 154.27/154.47 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2859]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2854,plain,
% 154.27/154.47 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat),X2,tc_nat),X4,tc_nat)
% 154.27/154.47 | ~ c_lessequals(X3,X0,tc_nat) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4225_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12157,plain,
% 154.27/154.47 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat),X2,tc_nat),X4,tc_nat)
% 154.27/154.47 | ~ c_lessequals(X3,X0,tc_nat) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2854]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12158,plain,
% 154.27/154.47 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.47 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X4,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_12157]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2852,plain,
% 154.27/154.47 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat),X4,tc_nat),tc_nat)
% 154.27/154.47 | ~ c_lessequals(X0,X3,tc_nat) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4226_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12153,plain,
% 154.27/154.47 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X4,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat),X4,tc_nat),tc_nat)
% 154.27/154.47 | ~ c_lessequals(X0,X3,tc_nat) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2852]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12154,plain,
% 154.27/154.47 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.47 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X4,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat),X4,tc_nat),tc_nat) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_12153]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2848,plain,
% 154.27/154.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),X1,tc_nat),X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat)
% 154.27/154.47 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4228_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12145,plain,
% 154.27/154.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),X1,tc_nat),X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat)
% 154.27/154.47 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2848]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12146,plain,
% 154.27/154.47 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_12145]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2846,plain,
% 154.27/154.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4229_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12141,plain,
% 154.27/154.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2846]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2842,plain,
% 154.27/154.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,X2),X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oring(X2) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4231_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12133,plain,
% 154.27/154.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,X2),X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oring(X2) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2842]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12134,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Oring(X0)
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_12133]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2841,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 154.27/154.47 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.47 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4232_0) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12131,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 154.27/154.47 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.47 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2841]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2838,plain,
% 154.27/154.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4232_3) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12125,plain,
% 154.27/154.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2838]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12126,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 154.27/154.47 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.47 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_12125]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2837,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 154.27/154.47 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.47 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4233_0) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12123,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 154.27/154.47 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.47 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2837]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2834,plain,
% 154.27/154.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4233_3) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12117,plain,
% 154.27/154.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2834]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12118,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 154.27/154.47 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.47 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_12117]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2826,plain,
% 154.27/154.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4236_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12101,plain,
% 154.27/154.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2826]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2818,plain,
% 154.27/154.47 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X3),c_Orderings_Oord__class_Omax(X0,X2,X3),X3),X3)
% 154.27/154.47 | ~ class_Orderings_Olinorder(X3) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4239_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12085,plain,
% 154.27/154.47 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X3),c_Orderings_Oord__class_Omax(X0,X2,X3),X3),X3)
% 154.27/154.47 | ~ class_Orderings_Olinorder(X3) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2818]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12086,plain,
% 154.27/154.47 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.47 | c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X0),c_Orderings_Oord__class_Omax(X1,X3,X0),X0),X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_12085]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2816,plain,
% 154.27/154.47 ( c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X0,X3,X2),X2),c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2),X2)
% 154.27/154.47 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4240_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12081,plain,
% 154.27/154.47 ( c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X0,X3,X2),X2),c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2),X2)
% 154.27/154.47 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2816]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12082,plain,
% 154.27/154.47 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.47 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X0),c_Orderings_Oord__class_Omin(X1,X3,X0),X0),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0),X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_12081]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2813,plain,
% 154.27/154.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2) = X5
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oring(X2) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4241_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12075,plain,
% 154.27/154.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2) = X5
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oring(X2) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2813]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12076,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Oring(X0)
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0) = X5
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_12075]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2810,plain,
% 154.27/154.47 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3)
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3)
% 154.27/154.47 | ~ class_Ring__and__Field_Oring(X3) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4242_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12069,plain,
% 154.27/154.47 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3)
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3)
% 154.27/154.47 | ~ class_Ring__and__Field_Oring(X3) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2810]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12070,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Oring(X0)
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 154.27/154.47 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_12069]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2808,plain,
% 154.27/154.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2),X4,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Osemiring(X2) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4243_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12065,plain,
% 154.27/154.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2),X4,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Osemiring(X2) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2808]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12066,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Osemiring(X0)
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0),X4,X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_12065]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2802,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.27/154.47 | ~ class_Int_Onumber__ring(X0)
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 154.27/154.47 | X2 = X4
% 154.27/154.47 | X1 = X3 ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4245_0) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12053,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.27/154.47 | ~ class_Int_Onumber__ring(X0)
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 154.27/154.47 | X2 = X4
% 154.27/154.47 | X1 = X3 ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2802]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2798,plain,
% 154.27/154.47 ( X0 = X1
% 154.27/154.47 | X2 = X3
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X4),c_HOL_Otimes__class_Otimes(X1,X2,X4),X4)
% 154.27/154.47 | ~ class_Int_Onumber__ring(X4)
% 154.27/154.47 | ~ class_Ring__and__Field_Oidom(X4) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4245_4) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12045,plain,
% 154.27/154.47 ( X0 = X1
% 154.27/154.47 | X2 = X3
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X4),c_HOL_Otimes__class_Otimes(X1,X2,X4),X4)
% 154.27/154.47 | ~ class_Int_Onumber__ring(X4)
% 154.27/154.47 | ~ class_Ring__and__Field_Oidom(X4) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2798]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12046,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.27/154.47 | ~ class_Int_Onumber__ring(X0)
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 154.27/154.47 | X1 = X3
% 154.27/154.47 | X2 = X4 ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_12045]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2794,plain,
% 154.27/154.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 154.27/154.47 | X1 = X3
% 154.27/154.47 | X0 = X2 ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4248_0) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12037,plain,
% 154.27/154.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 154.27/154.47 | X1 = X3
% 154.27/154.47 | X0 = X2 ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2794]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2792,plain,
% 154.27/154.47 ( X0 = X1
% 154.27/154.47 | X2 = X3
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4248_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12033,plain,
% 154.27/154.47 ( X0 = X1
% 154.27/154.47 | X2 = X3
% 154.27/154.47 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2792]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_12034,plain,
% 154.27/154.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 154.27/154.47 | X0 = X2
% 154.27/154.47 | X1 = X3 ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_12033]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2742,plain,
% 154.27/154.47 ( c_Lambda_Osubst(c_Lambda_Osubst(X0,c_Lambda_Olift(X1,X2),c_Suc(X3)),c_Lambda_Osubst(X4,X1,X3),X2) = c_Lambda_Osubst(c_Lambda_Osubst(X0,X4,X2),X1,X3)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4257_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11933,plain,
% 154.27/154.47 ( c_Lambda_Osubst(c_Lambda_Osubst(X0,c_Lambda_Olift(X1,X2),c_Suc(X3)),c_Lambda_Osubst(X4,X1,X3),X2) = c_Lambda_Osubst(c_Lambda_Osubst(X0,X4,X2),X1,X3)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2742]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11934,plain,
% 154.27/154.47 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 154.27/154.47 | c_Lambda_Osubst(c_Lambda_Osubst(X2,c_Lambda_Olift(X3,X0),c_Suc(X1)),c_Lambda_Osubst(X4,X3,X1),X0) = c_Lambda_Osubst(c_Lambda_Osubst(X2,X4,X0),X3,X1) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_11933]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2739,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X1,X2)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4258_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11927,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X1,X2)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2739]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2736,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X2)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4259_2) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11921,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X2)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2736]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2713,plain,
% 154.27/154.47 ( c_Lambda_Osubst(c_Lambda_Olift(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_Lambda_Olift(X2,X1),X3) = c_Lambda_Olift(c_Lambda_Osubst(X0,X2,X3),X1)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4264_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11875,plain,
% 154.27/154.47 ( c_Lambda_Osubst(c_Lambda_Olift(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_Lambda_Olift(X2,X1),X3) = c_Lambda_Olift(c_Lambda_Osubst(X0,X2,X3),X1)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2713]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11876,plain,
% 154.27/154.47 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 154.27/154.47 | c_Lambda_Osubst(c_Lambda_Olift(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_Lambda_Olift(X3,X1),X0) = c_Lambda_Olift(c_Lambda_Osubst(X2,X3,X0),X1) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_11875]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2711,plain,
% 154.27/154.47 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4265_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11871,plain,
% 154.27/154.47 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2711]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2705,plain,
% 154.27/154.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2),X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4267_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11859,plain,
% 154.27/154.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2),X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2705]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11860,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.27/154.47 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_11859]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2703,plain,
% 154.27/154.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,X4,X2),X2),X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4268_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11855,plain,
% 154.27/154.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,X4,X2),X2),X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2703]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11856,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.27/154.47 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_11855]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2693,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4270_3) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11835,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2693]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11836,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.47 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_11835]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2687,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 154.27/154.47 | ~ c_lessequals(X2,X3,X0)
% 154.27/154.47 | ~ c_lessequals(X1,X4,X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4271_3) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11823,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 154.27/154.47 | ~ c_lessequals(X2,X3,X0)
% 154.27/154.47 | ~ c_lessequals(X1,X4,X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2687]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11824,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.47 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 154.27/154.47 | ~ c_lessequals(X2,X3,X0)
% 154.27/154.47 | ~ c_lessequals(X1,X4,X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_11823]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2681,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 154.27/154.47 | ~ c_lessequals(X2,X3,X0)
% 154.27/154.47 | ~ c_lessequals(X1,X4,X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4272_3) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11811,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 154.27/154.47 | ~ c_lessequals(X2,X3,X0)
% 154.27/154.47 | ~ c_lessequals(X1,X4,X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2681]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11812,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.47 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 154.27/154.47 | ~ c_lessequals(X3,X2,X0)
% 154.27/154.47 | ~ c_lessequals(X1,X4,X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_11811]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2655,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4276_5) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11759,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2655]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11760,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.47 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_11759]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2644,plain,
% 154.27/154.47 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.27/154.47 | ~ c_lessequals(X1,X2,tc_nat)
% 154.27/154.47 | ~ c_lessequals(X1,X0,tc_nat)
% 154.27/154.47 | c_lessequals(X0,X2,tc_nat) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4279_0) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11737,plain,
% 154.27/154.47 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.27/154.47 | ~ c_lessequals(X1,X2,tc_nat)
% 154.27/154.47 | ~ c_lessequals(X1,X0,tc_nat)
% 154.27/154.47 | c_lessequals(X0,X2,tc_nat) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2644]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2643,plain,
% 154.27/154.47 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.27/154.47 | ~ c_lessequals(X1,X2,tc_nat)
% 154.27/154.47 | c_lessequals(X0,X2,tc_nat)
% 154.27/154.47 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4279_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11735,plain,
% 154.27/154.47 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.27/154.47 | ~ c_lessequals(X1,X2,tc_nat)
% 154.27/154.47 | c_lessequals(X0,X2,tc_nat)
% 154.27/154.47 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2643]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2641,plain,
% 154.27/154.47 ( c_lessequals(X0,X1,tc_nat)
% 154.27/154.47 | ~ c_lessequals(X2,X0,tc_nat)
% 154.27/154.47 | ~ c_lessequals(X2,X1,tc_nat)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4279_3) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11731,plain,
% 154.27/154.47 ( c_lessequals(X0,X1,tc_nat)
% 154.27/154.47 | ~ c_lessequals(X2,X0,tc_nat)
% 154.27/154.47 | ~ c_lessequals(X2,X1,tc_nat)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2641]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11732,plain,
% 154.27/154.47 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.27/154.47 | c_lessequals(X0,X2,tc_nat)
% 154.27/154.47 | ~ c_lessequals(X1,X0,tc_nat)
% 154.27/154.47 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_11731]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2637,plain,
% 154.27/154.47 ( c_lessequals(X0,X1,X2)
% 154.27/154.47 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4280_3) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11723,plain,
% 154.27/154.47 ( c_lessequals(X0,X1,X2)
% 154.27/154.47 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2637]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11724,plain,
% 154.27/154.47 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 154.27/154.47 | c_lessequals(X2,X1,X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_11723]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2629,plain,
% 154.27/154.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4283_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11707,plain,
% 154.27/154.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2629]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2627,plain,
% 154.27/154.47 ( c_Lambda_Osubst(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Lambda_Olift(c_Lambda_Osubst(X0,X2,X3),X1)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4284_1) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11703,plain,
% 154.27/154.47 ( c_Lambda_Osubst(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Lambda_Olift(c_Lambda_Osubst(X0,X2,X3),X1)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
% 154.27/154.47 inference(copy,[status(esa)],[c_2627]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11704,plain,
% 154.27/154.47 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 154.27/154.47 | c_Lambda_Osubst(c_Lambda_Olift(X2,X0),c_Lambda_Olift(X3,X0),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Lambda_Olift(c_Lambda_Osubst(X2,X3,X1),X0) ),
% 154.27/154.47 inference(rewriting,[status(thm)],[c_11703]) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_2531,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.47 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4300_5) ).
% 154.27/154.47
% 154.27/154.47 cnf(c_11511,plain,
% 154.27/154.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.47 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 154.27/154.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.47 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2531]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2528,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4301_2) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11505,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2528]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11506,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11505]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2500,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4308_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11449,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2500]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11450,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11449]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2496,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4309_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11441,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2496]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11442,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11441]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2492,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4310_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11433,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2492]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11434,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11433]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2488,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4311_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11425,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2488]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11426,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11425]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2484,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4312_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11417,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2484]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11418,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11417]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2476,plain,
% 154.27/154.48 ( c_lessequals(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 154.27/154.48 | ~ c_lessequals(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4314_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11401,plain,
% 154.27/154.48 ( c_lessequals(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 154.27/154.48 | ~ c_lessequals(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2476]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11402,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.48 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 154.27/154.48 | c_lessequals(X2,X3,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11401]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2464,plain,
% 154.27/154.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4317_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11377,plain,
% 154.27/154.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2464]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11378,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.48 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 154.27/154.48 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11377]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2460,plain,
% 154.27/154.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4318_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11369,plain,
% 154.27/154.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2460]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11370,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.48 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 154.27/154.48 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11369]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2451,plain,
% 154.27/154.48 ( c_lessequals(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4321_2) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11351,plain,
% 154.27/154.48 ( c_lessequals(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2451]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11352,plain,
% 154.27/154.48 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 154.27/154.48 | c_lessequals(X1,X2,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11351]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2427,plain,
% 154.27/154.48 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X3,X2),c_HOL_Oinverse__class_Odivide(X1,X4,X2),X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4327_2) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11303,plain,
% 154.27/154.48 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X3,X2),c_HOL_Oinverse__class_Odivide(X1,X4,X2),X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2427]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11304,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.48 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X2,X4,X0),X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11303]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2421,plain,
% 154.27/154.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.27/154.48 | ~ class_Int_Onumber__ring(X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oidom(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4329_2) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11291,plain,
% 154.27/154.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.27/154.48 | ~ class_Int_Onumber__ring(X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oidom(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2421]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11292,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.27/154.48 | ~ class_Int_Onumber__ring(X0)
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11291]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2398,plain,
% 154.27/154.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X4,X2),X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4335_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11245,plain,
% 154.27/154.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X4,X2),X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2398]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11246,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11245]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2396,plain,
% 154.27/154.48 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4336_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11241,plain,
% 154.27/154.48 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2396]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11242,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.27/154.48 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11241]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2383,plain,
% 154.27/154.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | X2 = X3
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 154.27/154.48 | ~ class_Int_Onumber__ring(X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4339_4) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11215,plain,
% 154.27/154.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | X2 = X3
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 154.27/154.48 | ~ class_Int_Onumber__ring(X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2383]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11216,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.27/154.48 | ~ class_Int_Onumber__ring(X0)
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 154.27/154.48 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.48 | X3 = X4 ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11215]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2353,plain,
% 154.27/154.48 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.27/154.48 | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4345_4) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11155,plain,
% 154.27/154.48 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 154.27/154.48 | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2353]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2348,plain,
% 154.27/154.48 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.27/154.48 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4346_4) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11145,plain,
% 154.27/154.48 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 154.27/154.48 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2348]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2321,plain,
% 154.27/154.48 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)),tc_nat)
% 154.27/154.48 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4355_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11091,plain,
% 154.27/154.48 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)),tc_nat)
% 154.27/154.48 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2321]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11092,plain,
% 154.27/154.48 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.48 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_Suc(X1),tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),tc_nat) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11091]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2319,plain,
% 154.27/154.48 ( c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X0),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 154.27/154.48 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4356_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11087,plain,
% 154.27/154.48 ( c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X0),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 154.27/154.48 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2319]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11088,plain,
% 154.27/154.48 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.48 | c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11087]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2311,plain,
% 154.27/154.48 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.27/154.48 | ~ c_lessequals(X1,X0,tc_nat)
% 154.27/154.48 | ~ c_lessequals(X1,X2,tc_nat)
% 154.27/154.48 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4358_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11071,plain,
% 154.27/154.48 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.27/154.48 | ~ c_lessequals(X1,X0,tc_nat)
% 154.27/154.48 | ~ c_lessequals(X1,X2,tc_nat)
% 154.27/154.48 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2311]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2307,plain,
% 154.27/154.48 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 154.27/154.48 | ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 154.27/154.48 | ~ c_lessequals(X4,X2,X3)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4359_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11063,plain,
% 154.27/154.48 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 154.27/154.48 | ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 154.27/154.48 | ~ c_lessequals(X4,X2,X3)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2307]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2305,plain,
% 154.27/154.48 ( c_lessequals(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4360_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11059,plain,
% 154.27/154.48 ( c_lessequals(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2305]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11060,plain,
% 154.27/154.48 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 154.27/154.48 | c_lessequals(X1,X2,tc_nat) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11059]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2303,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4361_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11055,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2303]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11056,plain,
% 154.27/154.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 154.27/154.48 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11055]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2300,plain,
% 154.27/154.48 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.27/154.48 | X1 = X2
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4362_2) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11049,plain,
% 154.27/154.48 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.27/154.48 | X1 = X2
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2300]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11050,plain,
% 154.27/154.48 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
% 154.27/154.48 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.27/154.48 | X2 = X3 ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11049]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2297,plain,
% 154.27/154.48 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 154.27/154.48 | ~ c_lessequals(X2,X1,tc_nat)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4363_2) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11043,plain,
% 154.27/154.48 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 154.27/154.48 | ~ c_lessequals(X2,X1,tc_nat)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2297]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11044,plain,
% 154.27/154.48 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 154.27/154.48 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.27/154.48 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11043]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2291,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4365_2) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11031,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2291]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11032,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11031]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2288,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4366_2) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11025,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2288]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11026,plain,
% 154.27/154.48 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11025]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2285,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4367_2) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11019,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2285]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11020,plain,
% 154.27/154.48 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11019]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2282,plain,
% 154.27/154.48 ( c_lessequals(X0,X1,X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4368_2) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11013,plain,
% 154.27/154.48 ( c_lessequals(X0,X1,X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2282]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11014,plain,
% 154.27/154.48 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 154.27/154.48 | c_lessequals(X2,X3,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11013]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2279,plain,
% 154.27/154.48 ( c_lessequals(X0,X1,X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4369_2) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11007,plain,
% 154.27/154.48 ( c_lessequals(X0,X1,X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2279]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11008,plain,
% 154.27/154.48 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 154.27/154.48 | c_lessequals(X1,X3,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11007]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2277,plain,
% 154.27/154.48 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.48 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 154.27/154.48 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4370_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11003,plain,
% 154.27/154.48 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.48 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 154.27/154.48 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2277]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_11004,plain,
% 154.27/154.48 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_lessequals(X0,X2,tc_nat)
% 154.27/154.48 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_11003]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2274,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4371_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10997,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2274]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2272,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4372_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10993,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2272]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2260,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4375_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10969,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2260]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10970,plain,
% 154.27/154.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 154.27/154.48 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10969]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2258,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4376_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10965,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2258]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10966,plain,
% 154.27/154.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 154.27/154.48 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10965]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2256,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4377_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10961,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2256]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10962,plain,
% 154.27/154.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 154.27/154.48 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10961]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2254,plain,
% 154.27/154.48 ( c_lessequals(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4378_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10957,plain,
% 154.27/154.48 ( c_lessequals(X0,X1,tc_nat)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2254]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10958,plain,
% 154.27/154.48 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 154.27/154.48 | c_lessequals(X1,X2,tc_nat) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10957]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2244,plain,
% 154.27/154.48 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.48 | ~ c_lessequals(X1,X3,X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4380_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10937,plain,
% 154.27/154.48 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.48 | ~ c_lessequals(X1,X3,X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2244]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10938,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.48 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.48 | ~ c_lessequals(X2,X3,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10937]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2240,plain,
% 154.27/154.48 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.48 | ~ c_lessequals(X1,X3,X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4381_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10929,plain,
% 154.27/154.48 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.48 | ~ c_lessequals(X1,X3,X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2240]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10930,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.48 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.48 | ~ c_lessequals(X2,X3,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10929]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2236,plain,
% 154.27/154.48 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4382_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10921,plain,
% 154.27/154.48 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2236]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10922,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.48 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.48 | ~ c_lessequals(X2,X3,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10921]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2224,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4385_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10897,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2224]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10898,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10897]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2208,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4389_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10865,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2208]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10866,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10865]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2212,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4388_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10873,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2212]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10874,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10873]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2196,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4392_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10841,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2196]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10842,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10841]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2184,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4395_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10817,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2184]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2164,plain,
% 154.27/154.48 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4400_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10777,plain,
% 154.27/154.48 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 154.27/154.48 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2164]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10778,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.48 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 154.27/154.48 | ~ c_lessequals(X1,X3,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10777]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2142,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4405_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10733,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2142]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10734,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10733]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2138,plain,
% 154.27/154.48 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 154.27/154.48 | ~ c_lessequals(X1,X3,tc_nat)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Oone__class_Oone(X2),X0,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4406_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10725,plain,
% 154.27/154.48 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 154.27/154.48 | ~ c_lessequals(X1,X3,tc_nat)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Oone__class_Oone(X2),X0,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2138]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10726,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.48 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.27/154.48 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 154.27/154.48 | ~ c_lessequals(X2,X3,tc_nat) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10725]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2114,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4411_5) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10677,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2114]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2112,plain,
% 154.27/154.48 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X2,tc_nat),tc_nat)
% 154.27/154.48 | ~ c_lessequals(X2,X1,tc_nat) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4412_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10673,plain,
% 154.27/154.48 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X2,tc_nat),tc_nat)
% 154.27/154.48 | ~ c_lessequals(X2,X1,tc_nat) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2112]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2108,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.48 | ~ c_lessequals(X1,X4,X2)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4413_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10665,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.48 | ~ c_lessequals(X1,X4,X2)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2108]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10666,plain,
% 154.27/154.48 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 154.27/154.48 | ~ c_lessequals(X1,X2,X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10665]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2100,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4415_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10649,plain,
% 154.27/154.48 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2100]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10650,plain,
% 154.27/154.48 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 154.27/154.48 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.27/154.48 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10649]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2096,plain,
% 154.27/154.48 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 154.27/154.48 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.48 | ~ c_lessequals(X1,X4,X2)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4416_3) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10641,plain,
% 154.27/154.48 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 154.27/154.48 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.48 | ~ c_lessequals(X1,X4,X2)
% 154.27/154.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2096]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10642,plain,
% 154.27/154.48 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 154.27/154.48 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 154.27/154.48 | ~ c_lessequals(X1,X3,X0)
% 154.27/154.48 | ~ c_lessequals(X2,X4,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10641]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2093,plain,
% 154.27/154.48 ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4417_2) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10635,plain,
% 154.27/154.48 ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2093]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10636,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.48 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.48 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10635]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2090,plain,
% 154.27/154.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X0,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4418_2) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10629,plain,
% 154.27/154.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X0,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2090]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10630,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.48 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 154.27/154.48 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10629]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2087,plain,
% 154.27/154.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4419_2) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10623,plain,
% 154.27/154.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2087]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10624,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.48 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10623]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2084,plain,
% 154.27/154.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4420_2) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10617,plain,
% 154.27/154.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.27/154.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2084]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10618,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.27/154.48 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10617]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2082,plain,
% 154.27/154.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4421_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10613,plain,
% 154.27/154.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2082]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10614,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10613]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2080,plain,
% 154.27/154.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ocomm__semiring(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4422_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10609,plain,
% 154.27/154.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ocomm__semiring(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2080]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10610,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10609]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2076,plain,
% 154.27/154.48 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X2),c_Orderings_Oord__class_Omax(X0,X3,X2),X2) = c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 154.27/154.48 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4424_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10601,plain,
% 154.27/154.48 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X2),c_Orderings_Oord__class_Omax(X0,X3,X2),X2) = c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 154.27/154.48 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2076]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10602,plain,
% 154.27/154.48 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.48 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X0),c_Orderings_Oord__class_Omax(X1,X3,X0),X0) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10601]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2074,plain,
% 154.27/154.48 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X2),c_Orderings_Oord__class_Omax(X3,X1,X2),X2) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 154.27/154.48 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4425_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10597,plain,
% 154.27/154.48 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X2),c_Orderings_Oord__class_Omax(X3,X1,X2),X2) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 154.27/154.48 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2074]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10598,plain,
% 154.27/154.48 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.48 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X0),c_Orderings_Oord__class_Omax(X3,X2,X0),X0) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10597]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2072,plain,
% 154.27/154.48 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4426_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10593,plain,
% 154.27/154.48 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2072]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10594,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.27/154.48 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10593]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2070,plain,
% 154.27/154.48 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 154.27/154.48 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4427_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10589,plain,
% 154.27/154.48 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 154.27/154.48 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2070]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10590,plain,
% 154.27/154.48 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 154.27/154.48 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10589]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2068,plain,
% 154.27/154.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4428_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10585,plain,
% 154.27/154.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2068]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10586,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10585]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2066,plain,
% 154.27/154.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.48 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4429_1) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10581,plain,
% 154.27/154.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 154.27/154.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.48 inference(copy,[status(esa)],[c_2066]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_10582,plain,
% 154.27/154.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.27/154.48 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 154.27/154.48 inference(rewriting,[status(thm)],[c_10581]) ).
% 154.27/154.48
% 154.27/154.48 cnf(c_2064,plain,
% 154.27/154.48 ( c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4430_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10577,plain,
% 154.27/154.49 ( c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2064]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10578,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.27/154.49 | c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X1,X3,X0),X2,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10577]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2062,plain,
% 154.27/154.49 ( c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4431_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10573,plain,
% 154.27/154.49 ( c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2062]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10574,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.27/154.49 | c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10573]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2060,plain,
% 154.27/154.49 ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4432_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10569,plain,
% 154.27/154.49 ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2060]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10570,plain,
% 154.27/154.49 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.49 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10569]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2058,plain,
% 154.27/154.49 ( c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4433_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10565,plain,
% 154.27/154.49 ( c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2058]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10566,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.49 | c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X3,X0),X2,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10565]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2056,plain,
% 154.27/154.49 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X0,X3,X2),X2) = c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 154.27/154.49 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4434_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10561,plain,
% 154.27/154.49 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X0,X3,X2),X2) = c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 154.27/154.49 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2056]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10562,plain,
% 154.27/154.49 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.49 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X0),c_Orderings_Oord__class_Omin(X1,X3,X0),X0) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10561]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2054,plain,
% 154.27/154.49 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X3,X1,X2),X2) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4435_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10557,plain,
% 154.27/154.49 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X3,X1,X2),X2) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2054]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10558,plain,
% 154.27/154.49 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.49 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X0),c_Orderings_Oord__class_Omin(X3,X2,X0),X0) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X3,X0),X2,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10557]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2052,plain,
% 154.27/154.49 ( c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4436_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10553,plain,
% 154.27/154.49 ( c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2052]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10554,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 154.27/154.49 | c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10553]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2050,plain,
% 154.27/154.49 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2)
% 154.27/154.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4437_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10549,plain,
% 154.27/154.49 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2)
% 154.27/154.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2050]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10550,plain,
% 154.27/154.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.27/154.49 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10549]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2048,plain,
% 154.27/154.49 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2)
% 154.27/154.49 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4438_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10545,plain,
% 154.27/154.49 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2)
% 154.27/154.49 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2048]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10546,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.27/154.49 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10545]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2033,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4443_2) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10515,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2033]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10516,plain,
% 154.27/154.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10515]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2036,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4442_2) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10521,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2036]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10522,plain,
% 154.27/154.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10521]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2028,plain,
% 154.27/154.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.27/154.49 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4445_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10505,plain,
% 154.27/154.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.27/154.49 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2028]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10506,plain,
% 154.27/154.49 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat)
% 154.27/154.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10505]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2026,plain,
% 154.27/154.49 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4446_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10501,plain,
% 154.27/154.49 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2026]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10502,plain,
% 154.27/154.49 ( ~ class_Ring__and__Field_Oring__1(X0)
% 154.27/154.49 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10501]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2023,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_lessequals(X0,X2,tc_nat)
% 154.27/154.49 | ~ c_lessequals(X1,X3,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4447_2) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10495,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_lessequals(X0,X2,tc_nat)
% 154.27/154.49 | ~ c_lessequals(X1,X3,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2023]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2020,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4448_2) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10489,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2020]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2017,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.27/154.49 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4449_2) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10483,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.27/154.49 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2017]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10484,plain,
% 154.27/154.49 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10483]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2014,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_lessequals(X0,X2,tc_nat)
% 154.27/154.49 | ~ c_lessequals(X1,X3,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4450_2) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10477,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_lessequals(X0,X2,tc_nat)
% 154.27/154.49 | ~ c_lessequals(X1,X3,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2014]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2011,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4451_2) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10471,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2011]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_2001,plain,
% 154.27/154.49 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat) = X0
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4459_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10451,plain,
% 154.27/154.49 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat) = X0
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_2001]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10452,plain,
% 154.27/154.49 ( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)
% 154.27/154.49 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10451]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1999,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4460_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10447,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1999]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10448,plain,
% 154.27/154.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10447]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1997,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4461_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10443,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1997]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1995,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 154.27/154.49 | ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4462_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10439,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 154.27/154.49 | ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1995]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1993,plain,
% 154.27/154.49 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4463_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10435,plain,
% 154.27/154.49 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1993]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10436,plain,
% 154.27/154.49 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 154.27/154.49 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10435]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1990,plain,
% 154.27/154.49 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = X3
% 154.27/154.49 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X4,X1,X2),X2) != c_HOL_Oplus__class_Oplus(X4,X3,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4464_2) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10429,plain,
% 154.27/154.49 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = X3
% 154.27/154.49 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X4,X1,X2),X2) != c_HOL_Oplus__class_Oplus(X4,X3,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1990]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10430,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 154.27/154.49 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 154.27/154.49 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10429]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1960,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4470_4) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10369,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1960]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1915,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4479_4) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10279,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1915]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1904,plain,
% 154.27/154.49 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4483_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10257,plain,
% 154.27/154.49 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1904]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10258,plain,
% 154.27/154.49 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.49 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10257]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1902,plain,
% 154.27/154.49 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat)
% 154.27/154.49 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4484_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10253,plain,
% 154.27/154.49 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat)
% 154.27/154.49 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1902]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10254,plain,
% 154.27/154.49 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.49 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10253]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1900,plain,
% 154.27/154.49 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 154.27/154.49 | ~ c_lessequals(X2,X1,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4485_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10249,plain,
% 154.27/154.49 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 154.27/154.49 | ~ c_lessequals(X2,X1,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1900]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10250,plain,
% 154.27/154.49 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.27/154.49 | c_HOL_Oplus__class_Oplus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X0,tc_nat) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10249]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1852,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4495_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10153,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1852]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1837,plain,
% 154.27/154.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.27/154.49 | c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4501_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10123,plain,
% 154.27/154.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.27/154.49 | c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1837]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10124,plain,
% 154.27/154.49 ( c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)
% 154.27/154.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10123]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1830,plain,
% 154.27/154.49 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.49 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4503_2) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10109,plain,
% 154.27/154.49 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.49 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1830]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1827,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4504_2) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10103,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1827]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1812,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4507_4) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10073,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1812]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1807,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4508_4) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10063,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1807]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1802,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4509_4) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10053,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1802]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1797,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4510_4) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10043,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1797]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1786,plain,
% 154.27/154.49 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4513_0) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10021,plain,
% 154.27/154.49 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1786]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1783,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4513_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10015,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1783]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10016,plain,
% 154.27/154.49 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10015]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1782,plain,
% 154.27/154.49 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4514_0) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10013,plain,
% 154.27/154.49 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1782]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1779,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 154.27/154.49 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4514_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10007,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 154.27/154.49 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1779]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10008,plain,
% 154.27/154.49 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_10007]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1778,plain,
% 154.27/154.49 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.49 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 154.27/154.49 | c_lessequals(X2,X3,X0)
% 154.27/154.49 | c_lessequals(X1,X3,X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4515_0) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10005,plain,
% 154.27/154.49 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.49 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 154.27/154.49 | c_lessequals(X2,X3,X0)
% 154.27/154.49 | c_lessequals(X1,X3,X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1778]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1775,plain,
% 154.27/154.49 ( c_lessequals(X0,X1,X2)
% 154.27/154.49 | c_lessequals(X3,X1,X2)
% 154.27/154.49 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4515_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9999,plain,
% 154.27/154.49 ( c_lessequals(X0,X1,X2)
% 154.27/154.49 | c_lessequals(X3,X1,X2)
% 154.27/154.49 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 154.27/154.49 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1775]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_10000,plain,
% 154.27/154.49 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.49 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 154.27/154.49 | c_lessequals(X1,X3,X0)
% 154.27/154.49 | c_lessequals(X2,X3,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9999]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1774,plain,
% 154.27/154.49 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.49 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 154.27/154.49 | c_lessequals(X1,X3,X0)
% 154.27/154.49 | c_lessequals(X1,X2,X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4516_0) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9997,plain,
% 154.27/154.49 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.49 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 154.27/154.49 | c_lessequals(X1,X3,X0)
% 154.27/154.49 | c_lessequals(X1,X2,X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1774]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1771,plain,
% 154.27/154.49 ( c_lessequals(X0,X1,X2)
% 154.27/154.49 | c_lessequals(X0,X3,X2)
% 154.27/154.49 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 154.27/154.49 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4516_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9991,plain,
% 154.27/154.49 ( c_lessequals(X0,X1,X2)
% 154.27/154.49 | c_lessequals(X0,X3,X2)
% 154.27/154.49 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 154.27/154.49 | ~ class_Orderings_Olinorder(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1771]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9992,plain,
% 154.27/154.49 ( ~ class_Orderings_Olinorder(X0)
% 154.27/154.49 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 154.27/154.49 | c_lessequals(X1,X2,X0)
% 154.27/154.49 | c_lessequals(X1,X3,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9991]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1769,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4517_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9987,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1769]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1767,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4518_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9983,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1767]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1763,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4519_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9975,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1763]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1755,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4521_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9959,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1755]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1751,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4522_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9951,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1751]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1747,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4523_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9943,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1747]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1743,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4524_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9935,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1743]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9936,plain,
% 154.27/154.49 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 154.27/154.49 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9935]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1739,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4525_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9927,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1739]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1731,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4527_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9911,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1731]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9912,plain,
% 154.27/154.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9911]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1727,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4528_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9903,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1727]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9904,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.49 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9903]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1707,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4533_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9863,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1707]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9864,plain,
% 154.27/154.49 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9863]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1703,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4534_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9855,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1703]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1699,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4535_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9847,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1699]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1695,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4536_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9839,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1695]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1691,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4537_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9831,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1691]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1687,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4538_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9823,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1687]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9824,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9823]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1671,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.49 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4542_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9791,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.27/154.49 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1671]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9792,plain,
% 154.27/154.49 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9791]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1655,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4546_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9759,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1655]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9760,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9759]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1647,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4548_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9743,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1647]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9744,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9743]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1643,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4549_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9735,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1643]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9736,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.49 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9735]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1635,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4551_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9719,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1635]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1631,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4552_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9711,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1631]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9712,plain,
% 154.27/154.49 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9711]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1627,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4553_3) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9703,plain,
% 154.27/154.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1627]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9704,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.27/154.49 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.27/154.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9703]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1626,plain,
% 154.27/154.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4555_0) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9701,plain,
% 154.27/154.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1626]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1624,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4555_2) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9697,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1624]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9698,plain,
% 154.27/154.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9697]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1622,plain,
% 154.27/154.49 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4556_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9693,plain,
% 154.27/154.49 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1622]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9694,plain,
% 154.27/154.49 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9693]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1619,plain,
% 154.27/154.49 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4557_1) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9687,plain,
% 154.27/154.49 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1619]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9688,plain,
% 154.27/154.49 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 154.27/154.49 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9687]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1615,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4558_2) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9679,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1615]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9680,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9679]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1612,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4559_2) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9673,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1612]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9674,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9673]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1609,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4560_2) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9667,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1609]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9668,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.27/154.49 inference(rewriting,[status(thm)],[c_9667]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_1606,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 154.27/154.49 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4561_2) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9661,plain,
% 154.27/154.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 154.27/154.49 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.27/154.49 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 154.27/154.49 inference(copy,[status(esa)],[c_1606]) ).
% 154.27/154.49
% 154.27/154.49 cnf(c_9662,plain,
% 154.27/154.49 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 154.27/154.49 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 154.27/154.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.27/154.50 inference(rewriting,[status(thm)],[c_9661]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_1603,plain,
% 154.27/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 154.27/154.50 | ~ c_lessequals(X1,X3,X2)
% 154.27/154.50 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 154.27/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4562_2) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9655,plain,
% 154.27/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 154.27/154.50 | ~ c_lessequals(X1,X3,X2)
% 154.27/154.50 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 154.27/154.50 inference(copy,[status(esa)],[c_1603]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9656,plain,
% 154.27/154.50 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 154.27/154.50 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 154.27/154.50 | ~ c_lessequals(X2,X3,X0) ),
% 154.27/154.50 inference(rewriting,[status(thm)],[c_9655]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_1600,plain,
% 154.27/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 154.27/154.50 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.50 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 154.27/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4563_2) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9649,plain,
% 154.27/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 154.27/154.50 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.50 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 154.27/154.50 inference(copy,[status(esa)],[c_1600]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9650,plain,
% 154.27/154.50 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 154.27/154.50 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 154.27/154.50 | ~ c_lessequals(X1,X3,X0) ),
% 154.27/154.50 inference(rewriting,[status(thm)],[c_9649]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_1597,plain,
% 154.27/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 154.27/154.50 | ~ c_lessequals(X1,X3,X2)
% 154.27/154.50 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4564_2) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9643,plain,
% 154.27/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 154.27/154.50 | ~ c_lessequals(X1,X3,X2)
% 154.27/154.50 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.50 inference(copy,[status(esa)],[c_1597]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9644,plain,
% 154.27/154.50 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.27/154.50 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 154.27/154.50 | ~ c_lessequals(X2,X3,X0) ),
% 154.27/154.50 inference(rewriting,[status(thm)],[c_9643]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_1594,plain,
% 154.27/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 154.27/154.50 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.50 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4565_2) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9637,plain,
% 154.27/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 154.27/154.50 | ~ c_lessequals(X0,X3,X2)
% 154.27/154.50 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.27/154.50 inference(copy,[status(esa)],[c_1594]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9638,plain,
% 154.27/154.50 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.27/154.50 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 154.27/154.50 | ~ c_lessequals(X1,X3,X0) ),
% 154.27/154.50 inference(rewriting,[status(thm)],[c_9637]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_1590,plain,
% 154.27/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.27/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.27/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 154.27/154.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.27/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4566_3) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9629,plain,
% 154.27/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.27/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.27/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 154.27/154.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.27/154.50 inference(copy,[status(esa)],[c_1590]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9630,plain,
% 154.27/154.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.27/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.27/154.50 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 154.27/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 154.27/154.50 inference(rewriting,[status(thm)],[c_9629]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_1554,plain,
% 154.27/154.50 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 154.27/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 154.27/154.50 | ~ c_lessequals(X0,X2,X3)
% 154.27/154.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 154.27/154.50 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 154.27/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4574_4) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9557,plain,
% 154.27/154.50 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 154.27/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 154.27/154.50 | ~ c_lessequals(X0,X2,X3)
% 154.27/154.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 154.27/154.50 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 154.27/154.50 inference(copy,[status(esa)],[c_1554]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9558,plain,
% 154.27/154.50 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.27/154.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.27/154.50 | ~ c_lessequals(X1,X2,X0)
% 154.27/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 154.27/154.50 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 154.27/154.50 inference(rewriting,[status(thm)],[c_9557]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_1551,plain,
% 154.27/154.50 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.27/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.50 | ~ class_Ring__and__Field_Ofield(X0) ),
% 154.27/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4575_2) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9551,plain,
% 154.27/154.50 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.27/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.50 | ~ class_Ring__and__Field_Ofield(X0) ),
% 154.27/154.50 inference(copy,[status(esa)],[c_1551]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9552,plain,
% 154.27/154.50 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.27/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.27/154.50 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 154.27/154.50 inference(rewriting,[status(thm)],[c_9551]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_1538,plain,
% 154.27/154.50 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 154.27/154.50 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.27/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4580_1) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9525,plain,
% 154.27/154.50 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 154.27/154.50 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.27/154.50 inference(copy,[status(esa)],[c_1538]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_1536,plain,
% 154.27/154.50 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 154.27/154.50 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.27/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4581_1) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9521,plain,
% 154.27/154.50 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 154.27/154.50 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.27/154.50 inference(copy,[status(esa)],[c_1536]) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_1534,plain,
% 154.27/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 154.27/154.50 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.27/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4582_1) ).
% 154.27/154.50
% 154.27/154.50 cnf(c_9517,plain,
% 154.27/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 154.27/154.50 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.27/154.50 inference(copy,[status(esa)],[c_1534]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1532,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4583_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9513,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1532]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1530,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 154.36/154.50 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4584_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9509,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 154.36/154.50 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1530]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1528,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
% 154.36/154.50 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4585_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9505,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
% 154.36/154.50 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1528]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1526,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.36/154.50 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4586_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9501,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 154.36/154.50 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1526]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1524,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 154.36/154.50 | ~ c_lessequals(X2,X1,tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4587_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9497,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 154.36/154.50 | ~ c_lessequals(X2,X1,tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1524]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1522,plain,
% 154.36/154.50 ( c_Lambda_Olift(c_Lambda_Olift(X0,X1),c_Suc(X2)) = c_Lambda_Olift(c_Lambda_Olift(X0,X2),X1)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4588_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9493,plain,
% 154.36/154.50 ( c_Lambda_Olift(c_Lambda_Olift(X0,X1),c_Suc(X2)) = c_Lambda_Olift(c_Lambda_Olift(X0,X2),X1)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1522]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9494,plain,
% 154.36/154.50 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 154.36/154.50 | c_Lambda_Olift(c_Lambda_Olift(X2,X0),c_Suc(X1)) = c_Lambda_Olift(c_Lambda_Olift(X2,X1),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9493]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1518,plain,
% 154.36/154.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.50 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.36/154.50 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4589_3) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9485,plain,
% 154.36/154.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.50 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.36/154.50 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1518]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9486,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.50 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 154.36/154.50 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9485]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1514,plain,
% 154.36/154.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.50 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.36/154.50 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4590_3) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9477,plain,
% 154.36/154.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.50 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.36/154.50 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1514]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9478,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.50 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 154.36/154.50 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9477]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1512,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X0,X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4591_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9473,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X0,X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1512]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9474,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9473]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1510,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X2),X2),X1,X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4592_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9469,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X2),X2),X1,X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1510]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9470,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9469]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1506,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4593_3) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9461,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1506]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9462,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9461]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1494,plain,
% 154.36/154.50 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 154.36/154.50 | ~ c_lessequals(X0,X3,X2)
% 154.36/154.50 | ~ c_lessequals(X1,X3,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4596_3) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9437,plain,
% 154.36/154.50 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 154.36/154.50 | ~ c_lessequals(X0,X3,X2)
% 154.36/154.50 | ~ c_lessequals(X1,X3,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1494]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9438,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 154.36/154.50 | ~ c_lessequals(X1,X3,X0)
% 154.36/154.50 | ~ c_lessequals(X2,X3,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9437]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1482,plain,
% 154.36/154.50 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 154.36/154.50 | ~ c_lessequals(X0,X1,X3)
% 154.36/154.50 | ~ c_lessequals(X0,X2,X3)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4599_3) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9413,plain,
% 154.36/154.50 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 154.36/154.50 | ~ c_lessequals(X0,X1,X3)
% 154.36/154.50 | ~ c_lessequals(X0,X2,X3)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1482]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9414,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 154.36/154.50 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.50 | ~ c_lessequals(X1,X3,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9413]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1478,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4600_3) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9405,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1478]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9406,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9405]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1475,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4601_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9399,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1475]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1472,plain,
% 154.36/154.50 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X3,X2),X1,X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4602_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9393,plain,
% 154.36/154.50 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X3,X2),X1,X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1472]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9394,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.50 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9393]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1466,plain,
% 154.36/154.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.50 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4604_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9381,plain,
% 154.36/154.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.50 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1466]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9382,plain,
% 154.36/154.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.36/154.50 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9381]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1448,plain,
% 154.36/154.50 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.36/154.50 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4611_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9345,plain,
% 154.36/154.50 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.36/154.50 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1448]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9346,plain,
% 154.36/154.50 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.36/154.50 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9345]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1446,plain,
% 154.36/154.50 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.36/154.50 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4612_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9341,plain,
% 154.36/154.50 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 154.36/154.50 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1446]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9342,plain,
% 154.36/154.50 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.36/154.50 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9341]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1442,plain,
% 154.36/154.50 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4614_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9333,plain,
% 154.36/154.50 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1442]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9334,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.50 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9333]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1438,plain,
% 154.36/154.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4616_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9325,plain,
% 154.36/154.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1438]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9326,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.50 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9325]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1436,plain,
% 154.36/154.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4617_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9321,plain,
% 154.36/154.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1436]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9322,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.50 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9321]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1434,plain,
% 154.36/154.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4618_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9317,plain,
% 154.36/154.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1434]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9318,plain,
% 154.36/154.50 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 154.36/154.50 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9317]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1432,plain,
% 154.36/154.50 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X0,X2,X3),X3)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4619_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9313,plain,
% 154.36/154.50 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X0,X2,X3),X3)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1432]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9314,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X0),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9313]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1430,plain,
% 154.36/154.50 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2) = c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4620_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9309,plain,
% 154.36/154.50 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2) = c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1430]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9310,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9309]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1428,plain,
% 154.36/154.50 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X0,X2,X3),X3)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4621_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9305,plain,
% 154.36/154.50 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X0,X2,X3),X3)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1428]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9306,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X0),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9305]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1426,plain,
% 154.36/154.50 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2) = c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4622_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9301,plain,
% 154.36/154.50 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2) = c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1426]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9302,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9301]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1422,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4624_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9293,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1422]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9294,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9293]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1420,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4625_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9289,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1420]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9290,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9289]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1416,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_OrderedGroup_Oab__semigroup__add(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4627_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9281,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_OrderedGroup_Oab__semigroup__add(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1416]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9282,plain,
% 154.36/154.50 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9281]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1414,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 154.36/154.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4628_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9277,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 154.36/154.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1414]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9278,plain,
% 154.36/154.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9277]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1412,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4629_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9273,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1412]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9274,plain,
% 154.36/154.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9273]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1410,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 154.36/154.50 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4630_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9269,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 154.36/154.50 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1410]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9270,plain,
% 154.36/154.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9269]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1408,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4631_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9265,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1408]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9266,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9265]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1406,plain,
% 154.36/154.50 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 154.36/154.50 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4632_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9261,plain,
% 154.36/154.50 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 154.36/154.50 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1406]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9262,plain,
% 154.36/154.50 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.36/154.50 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9261]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1403,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 154.36/154.50 | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4633_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9255,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 154.36/154.50 | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1403]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9256,plain,
% 154.36/154.50 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 154.36/154.50 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9255]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1401,plain,
% 154.36/154.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.50 | c_List_Odrop(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4634_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9251,plain,
% 154.36/154.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.50 | c_List_Odrop(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1401]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9252,plain,
% 154.36/154.50 ( c_List_Odrop(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
% 154.36/154.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9251]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1399,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4635_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9247,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1399]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9248,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9247]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1397,plain,
% 154.36/154.50 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 154.36/154.50 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4636_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9243,plain,
% 154.36/154.50 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 154.36/154.50 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1397]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9244,plain,
% 154.36/154.50 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.36/154.50 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9243]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1395,plain,
% 154.36/154.50 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4637_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9239,plain,
% 154.36/154.50 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1395]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9240,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.50 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9239]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1371,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.50 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4646_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9191,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.50 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1371]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9192,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 154.36/154.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9191]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1369,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.50 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4647_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9187,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.50 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1369]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9188,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 154.36/154.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9187]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1366,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4648_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9181,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1366]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9182,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 154.36/154.50 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9181]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1363,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4649_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9175,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1363]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9176,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 154.36/154.50 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9175]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1360,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4650_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9169,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1360]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9170,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 154.36/154.50 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9169]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1357,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4651_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9163,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1357]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9164,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 154.36/154.50 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9163]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1348,plain,
% 154.36/154.50 ( c_lessequals(X0,X1,X2)
% 154.36/154.50 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4654_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9145,plain,
% 154.36/154.50 ( c_lessequals(X0,X1,X2)
% 154.36/154.50 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1348]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9146,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 154.36/154.50 | c_lessequals(X1,X3,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9145]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1345,plain,
% 154.36/154.50 ( c_lessequals(X0,X1,X2)
% 154.36/154.50 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4655_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9139,plain,
% 154.36/154.50 ( c_lessequals(X0,X1,X2)
% 154.36/154.50 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1345]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9140,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 154.36/154.50 | c_lessequals(X2,X3,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9139]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1336,plain,
% 154.36/154.50 ( c_lessequals(X0,X1,X2)
% 154.36/154.50 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4658_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9121,plain,
% 154.36/154.50 ( c_lessequals(X0,X1,X2)
% 154.36/154.50 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1336]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9122,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 154.36/154.50 | c_lessequals(X1,X2,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9121]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1333,plain,
% 154.36/154.50 ( c_lessequals(X0,X1,X2)
% 154.36/154.50 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4659_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9115,plain,
% 154.36/154.50 ( c_lessequals(X0,X1,X2)
% 154.36/154.50 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1333]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9116,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 154.36/154.50 | c_lessequals(X1,X3,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9115]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1328,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4671_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9105,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1328]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9106,plain,
% 154.36/154.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.36/154.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9105]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1326,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4672_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9101,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1326]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9102,plain,
% 154.36/154.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.36/154.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9101]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1324,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4673_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9097,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1324]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9098,plain,
% 154.36/154.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 154.36/154.50 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9097]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1321,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4674_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9091,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1321]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1318,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.36/154.50 | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 154.36/154.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4675_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9085,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.36/154.50 | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 154.36/154.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1318]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1316,plain,
% 154.36/154.50 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4676_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9081,plain,
% 154.36/154.50 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1316]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9082,plain,
% 154.36/154.50 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 154.36/154.50 | c_lessequals(X0,X2,tc_nat) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9081]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1314,plain,
% 154.36/154.50 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4677_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9077,plain,
% 154.36/154.50 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1314]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9078,plain,
% 154.36/154.50 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 154.36/154.50 | c_lessequals(X1,X2,tc_nat) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9077]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1312,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4678_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9073,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1312]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9074,plain,
% 154.36/154.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 154.36/154.50 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9073]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1302,plain,
% 154.36/154.50 ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 154.36/154.50 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.50 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.50 | c_HOL_Otimes__class_Otimes(X0,X4,X2) != c_HOL_Otimes__class_Otimes(X3,X1,X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4681_4) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9053,plain,
% 154.36/154.50 ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 154.36/154.50 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.50 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.50 | c_HOL_Otimes__class_Otimes(X0,X4,X2) != c_HOL_Otimes__class_Otimes(X3,X1,X2)
% 154.36/154.50 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1302]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9054,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.50 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 154.36/154.50 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 154.36/154.50 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.50 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_9053]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1288,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4684_3) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9025,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1288]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1284,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.50 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4685_3) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9017,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.50 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1284]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1280,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4686_3) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9009,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1280]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1276,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4687_3) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_9001,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1276]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1272,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.50 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4688_3) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8993,plain,
% 154.36/154.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.50 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1272]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8994,plain,
% 154.36/154.50 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_8993]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1269,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4689_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8987,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1269]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8988,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.50 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_8987]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1266,plain,
% 154.36/154.50 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) != X3
% 154.36/154.50 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4690_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8981,plain,
% 154.36/154.50 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) != X3
% 154.36/154.50 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1266]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8982,plain,
% 154.36/154.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 154.36/154.50 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
% 154.36/154.50 | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_8981]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1259,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4692_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8967,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1259]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1256,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.50 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4693_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8961,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.50 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1256]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1254,plain,
% 154.36/154.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4694_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8957,plain,
% 154.36/154.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1254]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1251,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4695_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8951,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1251]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8952,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_8951]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1248,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4696_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8945,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1248]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1245,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4697_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8939,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1245]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1242,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4698_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8933,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1242]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1239,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4699_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8927,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1239]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8928,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.50 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_8927]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1236,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4700_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8921,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1236]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8922,plain,
% 154.36/154.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.50 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.36/154.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_8921]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1233,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.50 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4705_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8915,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.50 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1233]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1230,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.36/154.50 | ~ c_lessequals(X0,X1,X2)
% 154.36/154.50 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4706_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8909,plain,
% 154.36/154.50 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.36/154.50 | ~ c_lessequals(X0,X1,X2)
% 154.36/154.50 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1230]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1226,plain,
% 154.36/154.50 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4708_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8901,plain,
% 154.36/154.50 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1226]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8902,plain,
% 154.36/154.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.50 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_8901]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1224,plain,
% 154.36/154.50 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4709_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8897,plain,
% 154.36/154.50 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1224]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8898,plain,
% 154.36/154.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.50 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_8897]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1222,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4710_1) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8893,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1222]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8894,plain,
% 154.36/154.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.50 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_8893]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1210,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4714_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8869,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1210]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8870,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_8869]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1207,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4715_2) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8863,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.36/154.50 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.50 inference(copy,[status(esa)],[c_1207]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_8864,plain,
% 154.36/154.50 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.50 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 154.36/154.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.36/154.50 inference(rewriting,[status(thm)],[c_8863]) ).
% 154.36/154.50
% 154.36/154.50 cnf(c_1198,plain,
% 154.36/154.50 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4718_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8845,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1198]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8846,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8845]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1195,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4719_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8839,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1195]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8840,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8839]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1186,plain,
% 154.36/154.51 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 154.36/154.51 | ~ c_lessequals(X0,X1,X3)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4722_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8821,plain,
% 154.36/154.51 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 154.36/154.51 | ~ c_lessequals(X0,X1,X3)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1186]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8822,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8821]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1183,plain,
% 154.36/154.51 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 154.36/154.51 | ~ c_lessequals(X0,X2,X3)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4723_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8815,plain,
% 154.36/154.51 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 154.36/154.51 | ~ c_lessequals(X0,X2,X3)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X3) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1183]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8816,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 154.36/154.51 | ~ c_lessequals(X1,X3,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8815]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1174,plain,
% 154.36/154.51 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 154.36/154.51 | ~ c_lessequals(X0,X3,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4726_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8797,plain,
% 154.36/154.51 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 154.36/154.51 | ~ c_lessequals(X0,X3,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1174]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8798,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 154.36/154.51 | ~ c_lessequals(X1,X3,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8797]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1171,plain,
% 154.36/154.51 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 154.36/154.51 | ~ c_lessequals(X1,X3,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4727_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8791,plain,
% 154.36/154.51 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 154.36/154.51 | ~ c_lessequals(X1,X3,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1171]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8792,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 154.36/154.51 | ~ c_lessequals(X2,X3,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8791]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1169,plain,
% 154.36/154.51 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 154.36/154.51 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4728_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8787,plain,
% 154.36/154.51 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 154.36/154.51 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1169]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8788,plain,
% 154.36/154.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8787]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1167,plain,
% 154.36/154.51 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 154.36/154.51 | ~ c_Lambda_Obeta(X0,X3) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4729_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8783,plain,
% 154.36/154.51 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 154.36/154.51 | ~ c_Lambda_Obeta(X0,X3) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1167]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1165,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4730_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8779,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1165]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1163,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4731_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8775,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1163]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1161,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(X0,X0,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X0,X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4732_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8771,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(X0,X0,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X0,X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1161]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8772,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8771]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1159,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4735_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8767,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1159]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1157,plain,
% 154.36/154.51 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 154.36/154.51 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4736_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8763,plain,
% 154.36/154.51 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 154.36/154.51 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1157]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8764,plain,
% 154.36/154.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8763]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1153,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X1
% 154.36/154.51 | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4738_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8755,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X1
% 154.36/154.51 | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1153]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8756,plain,
% 154.36/154.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X1 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8755]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1151,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = X0
% 154.36/154.51 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4739_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8751,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = X0
% 154.36/154.51 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1151]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8752,plain,
% 154.36/154.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8751]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1149,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4740_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8747,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1149]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1143,plain,
% 154.36/154.51 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 154.36/154.51 | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4743_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8735,plain,
% 154.36/154.51 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 154.36/154.51 | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1143]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1141,plain,
% 154.36/154.51 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 154.36/154.51 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4744_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8731,plain,
% 154.36/154.51 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 154.36/154.51 | ~ c_lessequals(X0,X2,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1141]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1135,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4747_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8719,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1135]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1133,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4748_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8715,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1133]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1132,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4749_0) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8713,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1132]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1129,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.36/154.51 | ~ c_lessequals(X3,X1,X2)
% 154.36/154.51 | ~ class_Orderings_Opreorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4749_3) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8707,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.36/154.51 | ~ c_lessequals(X3,X1,X2)
% 154.36/154.51 | ~ class_Orderings_Opreorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1129]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8708,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8707]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1124,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | ~ c_lessequals(X3,X1,X0)
% 154.36/154.51 | c_lessequals(X3,X2,X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4751_0) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8697,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | ~ c_lessequals(X3,X1,X0)
% 154.36/154.51 | c_lessequals(X3,X2,X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1124]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1123,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | c_lessequals(X3,X2,X0)
% 154.36/154.51 | ~ c_lessequals(X3,X1,X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4751_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8695,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | c_lessequals(X3,X2,X0)
% 154.36/154.51 | ~ c_lessequals(X3,X1,X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1123]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1121,plain,
% 154.36/154.51 ( c_lessequals(X0,X1,X2)
% 154.36/154.51 | ~ c_lessequals(X0,X3,X2)
% 154.36/154.51 | ~ c_lessequals(X3,X1,X2)
% 154.36/154.51 | ~ class_Orderings_Opreorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4751_3) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8691,plain,
% 154.36/154.51 ( c_lessequals(X0,X1,X2)
% 154.36/154.51 | ~ c_lessequals(X0,X3,X2)
% 154.36/154.51 | ~ c_lessequals(X3,X1,X2)
% 154.36/154.51 | ~ class_Orderings_Opreorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1121]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8692,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | c_lessequals(X1,X2,X0)
% 154.36/154.51 | ~ c_lessequals(X1,X3,X0)
% 154.36/154.51 | ~ c_lessequals(X3,X2,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8691]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1116,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4753_0) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8681,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1116]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1113,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.36/154.51 | ~ c_lessequals(X0,X3,X2)
% 154.36/154.51 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4753_3) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8675,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.36/154.51 | ~ c_lessequals(X0,X3,X2)
% 154.36/154.51 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1113]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8676,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8675]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1112,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | ~ c_lessequals(X2,X3,X0)
% 154.36/154.51 | c_lessequals(X1,X3,X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4754_0) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8673,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | ~ c_lessequals(X2,X3,X0)
% 154.36/154.51 | c_lessequals(X1,X3,X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1112]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1111,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | c_lessequals(X1,X3,X0)
% 154.36/154.51 | ~ c_lessequals(X2,X3,X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4754_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8671,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | c_lessequals(X1,X3,X0)
% 154.36/154.51 | ~ c_lessequals(X2,X3,X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1111]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1109,plain,
% 154.36/154.51 ( c_lessequals(X0,X1,X2)
% 154.36/154.51 | ~ c_lessequals(X3,X1,X2)
% 154.36/154.51 | ~ c_lessequals(X0,X3,X2)
% 154.36/154.51 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4754_3) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8667,plain,
% 154.36/154.51 ( c_lessequals(X0,X1,X2)
% 154.36/154.51 | ~ c_lessequals(X3,X1,X2)
% 154.36/154.51 | ~ c_lessequals(X0,X3,X2)
% 154.36/154.51 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1109]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8668,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | c_lessequals(X1,X2,X0)
% 154.36/154.51 | ~ c_lessequals(X3,X2,X0)
% 154.36/154.51 | ~ c_lessequals(X1,X3,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8667]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1108,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4755_0) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8665,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1108]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1107,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4755_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8663,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1107]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1105,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.36/154.51 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4755_3) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8659,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.36/154.51 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1105]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8660,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8659]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1104,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4756_0) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8657,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1104]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1103,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4756_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8655,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1103]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1101,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.36/154.51 | ~ class_Orderings_Opreorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4756_3) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8651,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.36/154.51 | ~ class_Orderings_Opreorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1101]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8652,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8651]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1099,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X0,X1),X1)
% 154.36/154.51 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4757_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8647,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X0,X1),X1)
% 154.36/154.51 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1099]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8648,plain,
% 154.36/154.51 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8647]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1097,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X2,X1),X1)
% 154.36/154.51 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4758_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8643,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X2,X1),X1)
% 154.36/154.51 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1097]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8644,plain,
% 154.36/154.51 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8643]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1095,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4759_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8639,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1095]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8640,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8639]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1093,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4760_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8635,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1093]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8636,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8635]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1091,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4761_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8631,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1091]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8632,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8631]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1083,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4764_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8615,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1083]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8616,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8615]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1077,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4767_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8603,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1077]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8604,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8603]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1075,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.36/154.51 | ~ class_Power_Opower(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4768_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8599,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.36/154.51 | ~ class_Power_Opower(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1075]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8600,plain,
% 154.36/154.51 ( ~ class_Power_Opower(X0)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8599]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1073,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.36/154.51 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4769_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8595,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.36/154.51 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1073]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8596,plain,
% 154.36/154.51 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8595]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1070,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4770_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8589,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1070]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8590,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8589]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1067,plain,
% 154.36/154.51 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4771_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8583,plain,
% 154.36/154.51 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1067]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8584,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.51 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 154.36/154.51 | c_lessequals(X1,X2,tc_nat) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8583]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1064,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4772_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8577,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1064]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1062,plain,
% 154.36/154.51 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4774_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8573,plain,
% 154.36/154.51 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1062]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8574,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8573]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1060,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 154.36/154.51 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4775_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8569,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 154.36/154.51 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1060]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8570,plain,
% 154.36/154.51 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8569]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1058,plain,
% 154.36/154.51 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = c_Orderings_Oord__class_Omin(X0,X1,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4776_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8565,plain,
% 154.36/154.51 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = c_Orderings_Oord__class_Omin(X0,X1,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1058]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8566,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = c_Orderings_Oord__class_Omin(X1,X2,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8565]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1056,plain,
% 154.36/154.51 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4777_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8561,plain,
% 154.36/154.51 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1056]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8562,plain,
% 154.36/154.51 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.51 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8561]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1054,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.51 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4780_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8557,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.51 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1054]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1052,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = X2
% 154.36/154.51 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4783_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8553,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = X2
% 154.36/154.51 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1052]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8554,plain,
% 154.36/154.51 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8553]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1051,plain,
% 154.36/154.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | ~ c_lessequals(X2,X0,tc_nat)
% 154.36/154.51 | c_lessequals(X2,X1,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4784_0) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8551,plain,
% 154.36/154.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | ~ c_lessequals(X2,X0,tc_nat)
% 154.36/154.51 | c_lessequals(X2,X1,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1051]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1050,plain,
% 154.36/154.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | c_lessequals(X2,X1,tc_nat)
% 154.36/154.51 | ~ c_lessequals(X2,X0,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4784_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8549,plain,
% 154.36/154.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | c_lessequals(X2,X1,tc_nat)
% 154.36/154.51 | ~ c_lessequals(X2,X0,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1050]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1049,plain,
% 154.36/154.51 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | ~ c_lessequals(X0,X2,tc_nat)
% 154.36/154.51 | ~ c_lessequals(X2,X1,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4784_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8547,plain,
% 154.36/154.51 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | ~ c_lessequals(X0,X2,tc_nat)
% 154.36/154.51 | ~ c_lessequals(X2,X1,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1049]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1046,plain,
% 154.36/154.51 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4788_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8541,plain,
% 154.36/154.51 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1046]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8542,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.51 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.51 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8541]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1040,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4790_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8529,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1040]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1034,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4792_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8517,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1034]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1028,plain,
% 154.36/154.51 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 154.36/154.51 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4794_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8505,plain,
% 154.36/154.51 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 154.36/154.51 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1028]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1022,plain,
% 154.36/154.51 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 154.36/154.51 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4796_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8493,plain,
% 154.36/154.51 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 154.36/154.51 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1022]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1019,plain,
% 154.36/154.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.51 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4797_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8487,plain,
% 154.36/154.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.51 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1019]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8488,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.51 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 154.36/154.51 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8487]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1017,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X0 ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4798_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8483,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X0 ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1017]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1015,plain,
% 154.36/154.51 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4800_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8479,plain,
% 154.36/154.51 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1015]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8480,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.51 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8479]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1013,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oring(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4801_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8475,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oring(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1013]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8476,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oring(X0)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8475]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1011,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Oring(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4802_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8471,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Oring(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1011]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8472,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oring(X0)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8471]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_1005,plain,
% 154.36/154.51 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.51 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4804_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8459,plain,
% 154.36/154.51 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.51 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_1005]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_993,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4808_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8435,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_993]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_989,plain,
% 154.36/154.51 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4810_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8427,plain,
% 154.36/154.51 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_989]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8428,plain,
% 154.36/154.51 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.51 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8427]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_987,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | c_lessequals(X2,X1,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4811_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8423,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | c_lessequals(X2,X1,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_987]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_982,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4812_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8413,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_982]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8414,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8413]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_979,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4813_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8407,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_979]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_976,plain,
% 154.36/154.51 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 154.36/154.51 | ~ c_lessequals(X2,X0,X1)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4814_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8401,plain,
% 154.36/154.51 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 154.36/154.51 | ~ c_lessequals(X2,X0,X1)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_976]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_974,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4815_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8397,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_974]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8398,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8397]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_971,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4816_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8391,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_971]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8392,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8391]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_968,plain,
% 154.36/154.51 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 154.36/154.51 | ~ c_lessequals(X0,X2,tc_nat)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4817_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8385,plain,
% 154.36/154.51 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 154.36/154.51 | ~ c_lessequals(X0,X2,tc_nat)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_968]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8386,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.51 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,tc_nat) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8385]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_964,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(X0,X0,X2) != c_HOL_Otimes__class_Otimes(X1,X1,X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Oidom(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4818_3) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8377,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(X0,X0,X2) != c_HOL_Otimes__class_Otimes(X1,X1,X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Oidom(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_964]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8378,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 154.36/154.51 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 154.36/154.51 | X1 = X2 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8377]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_962,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X2,X0,X1),X1) = X2
% 154.36/154.51 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4819_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8373,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X2,X0,X1),X1) = X2
% 154.36/154.51 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_962]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8374,plain,
% 154.36/154.51 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8373]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_960,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1) = X2
% 154.36/154.51 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4820_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8369,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1) = X2
% 154.36/154.51 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_960]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8370,plain,
% 154.36/154.51 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8369]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_957,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4821_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8363,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_957]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_954,plain,
% 154.36/154.51 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.51 | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.36/154.51 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4822_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8357,plain,
% 154.36/154.51 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.51 | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.36/154.51 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_954]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_951,plain,
% 154.36/154.51 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.51 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 154.36/154.51 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4823_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8351,plain,
% 154.36/154.51 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.51 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 154.36/154.51 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_951]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_948,plain,
% 154.36/154.51 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.51 | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.36/154.51 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4824_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8345,plain,
% 154.36/154.51 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.51 | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 154.36/154.51 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_948]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_945,plain,
% 154.36/154.51 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.51 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 154.36/154.51 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4825_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8339,plain,
% 154.36/154.51 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.51 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 154.36/154.51 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_945]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_939,plain,
% 154.36/154.51 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.51 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4827_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8327,plain,
% 154.36/154.51 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.51 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_939]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8328,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.51 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.51 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8327]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_936,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4828_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8321,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_936]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_930,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4830_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8309,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_930]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_927,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4831_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8303,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_927]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_924,plain,
% 154.36/154.51 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 154.36/154.51 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4832_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8297,plain,
% 154.36/154.51 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 154.36/154.51 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_924]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_919,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4834_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8287,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_919]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8288,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 154.36/154.51 | X1 = X2 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8287]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_915,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 154.36/154.51 | ~ class_Int_Onumber__ring(X3)
% 154.36/154.51 | ~ class_Ring__and__Field_Oidom(X3) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4835_3) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8279,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 154.36/154.51 | ~ class_Int_Onumber__ring(X3)
% 154.36/154.51 | ~ class_Ring__and__Field_Oidom(X3) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_915]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8280,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.36/154.51 | ~ class_Int_Onumber__ring(X0)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 154.36/154.51 | X2 = X3 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8279]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_913,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.51 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4836_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8275,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.51 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_913]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_895,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4842_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8239,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_895]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8240,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.36/154.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8239]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_893,plain,
% 154.36/154.51 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 154.36/154.51 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4843_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8235,plain,
% 154.36/154.51 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 154.36/154.51 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_893]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8236,plain,
% 154.36/154.51 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 154.36/154.51 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8235]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_885,plain,
% 154.36/154.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.51 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 154.36/154.51 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4845_3) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8219,plain,
% 154.36/154.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.51 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 154.36/154.51 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_885]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8220,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.51 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.51 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 154.36/154.51 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8219]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_877,plain,
% 154.36/154.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X0,X1) = X2
% 154.36/154.51 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4847_3) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8203,plain,
% 154.36/154.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X0,X1) = X2
% 154.36/154.51 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_877]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8204,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.51 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 154.36/154.51 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8203]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_865,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | ~ c_lessequals(X0,X1,X2)
% 154.36/154.51 | ~ c_lessequals(X1,X0,X2)
% 154.36/154.51 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4850_3) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8179,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | ~ c_lessequals(X0,X1,X2)
% 154.36/154.51 | ~ c_lessequals(X1,X0,X2)
% 154.36/154.51 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_865]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8180,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | ~ c_lessequals(X2,X1,X0)
% 154.36/154.51 | X1 = X2 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8179]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_867,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | X2 = X1
% 154.36/154.51 | ~ c_lessequals(X2,X1,X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4850_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8183,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | X2 = X1
% 154.36/154.51 | ~ c_lessequals(X2,X1,X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_867]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8184,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | ~ c_lessequals(X2,X1,X0)
% 154.36/154.51 | X2 = X1 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8183]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_863,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X1),X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4852_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8175,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X1),X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_863]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8176,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8175]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_860,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X0,X2,X3) != c_HOL_Oplus__class_Oplus(X1,X2,X3)
% 154.36/154.51 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4853_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8169,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X0,X2,X3) != c_HOL_Oplus__class_Oplus(X1,X2,X3)
% 154.36/154.51 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_860]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8170,plain,
% 154.36/154.51 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 154.36/154.51 | X1 = X3 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8169]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_857,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 154.36/154.51 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4854_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8163,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 154.36/154.51 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_857]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8164,plain,
% 154.36/154.51 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 154.36/154.51 | X2 = X3 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8163]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_854,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 154.36/154.51 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4855_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8157,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 154.36/154.51 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_854]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8158,plain,
% 154.36/154.51 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 154.36/154.51 | X2 = X3 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8157]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_851,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 154.36/154.51 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4856_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8151,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 154.36/154.51 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_851]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8152,plain,
% 154.36/154.51 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 154.36/154.51 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 154.36/154.51 | X2 = X3 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8151]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_848,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 154.36/154.51 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4857_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8145,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 154.36/154.51 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_848]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8146,plain,
% 154.36/154.51 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 154.36/154.51 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 154.36/154.51 | X1 = X2 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8145]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_842,plain,
% 154.36/154.51 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.36/154.51 | ~ class_Orderings_Opreorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4859_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8133,plain,
% 154.36/154.51 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.36/154.51 | ~ class_Orderings_Opreorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_842]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8134,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8133]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_839,plain,
% 154.36/154.51 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4860_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8127,plain,
% 154.36/154.51 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_839]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8128,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8127]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_836,plain,
% 154.36/154.51 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.36/154.51 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4861_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8121,plain,
% 154.36/154.51 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.36/154.51 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_836]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8122,plain,
% 154.36/154.51 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8121]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_833,plain,
% 154.36/154.51 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_lessequals(X1,X0,X2)
% 154.36/154.51 | ~ class_Orderings_Opreorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4862_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8115,plain,
% 154.36/154.51 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | ~ c_lessequals(X1,X0,X2)
% 154.36/154.51 | ~ class_Orderings_Opreorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_833]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8116,plain,
% 154.36/154.51 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8115]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_827,plain,
% 154.36/154.51 ( ~ c_lessequals(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4864_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8103,plain,
% 154.36/154.51 ( ~ c_lessequals(X0,X1,X2)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_827]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8104,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8103]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_824,plain,
% 154.36/154.51 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 154.36/154.51 | ~ c_lessequals(X0,X0,X1)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4865_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8097,plain,
% 154.36/154.51 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 154.36/154.51 | ~ c_lessequals(X0,X0,X1)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_824]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8098,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X1,X0)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8097]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_818,plain,
% 154.36/154.51 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.51 | X1 = X2
% 154.36/154.51 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4867_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8085,plain,
% 154.36/154.51 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.51 | X1 = X2
% 154.36/154.51 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_818]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8086,plain,
% 154.36/154.51 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 154.36/154.51 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.51 | X1 = X4 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8085]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_816,plain,
% 154.36/154.51 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4868_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8081,plain,
% 154.36/154.51 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_816]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_814,plain,
% 154.36/154.51 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4869_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8077,plain,
% 154.36/154.51 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_814]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_812,plain,
% 154.36/154.51 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.51 | X1 = X0
% 154.36/154.51 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4870_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8073,plain,
% 154.36/154.51 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.51 | X1 = X0
% 154.36/154.51 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_812]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8074,plain,
% 154.36/154.51 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.51 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.51 | X1 = X0 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8073]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_808,plain,
% 154.36/154.51 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Oinverse__class_Odivide(X0,X2,X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4871_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8065,plain,
% 154.36/154.51 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Oinverse__class_Odivide(X0,X2,X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_808]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8066,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.51 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.51 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8065]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_806,plain,
% 154.36/154.51 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4872_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8061,plain,
% 154.36/154.51 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 154.36/154.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_806]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_800,plain,
% 154.36/154.51 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = X0
% 154.36/154.51 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4874_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8049,plain,
% 154.36/154.51 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = X0
% 154.36/154.51 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_800]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8050,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.51 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 154.36/154.51 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8049]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_798,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4875_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8045,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_798]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8046,plain,
% 154.36/154.51 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 154.36/154.51 | X1 = X4 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8045]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_796,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4876_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8041,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_796]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8042,plain,
% 154.36/154.51 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 154.36/154.51 | X0 = X3 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8041]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_794,plain,
% 154.36/154.51 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4877_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8037,plain,
% 154.36/154.51 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_794]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8038,plain,
% 154.36/154.51 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8037]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_791,plain,
% 154.36/154.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.51 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X0,X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4878_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8031,plain,
% 154.36/154.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.51 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X0,X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_791]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8032,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.51 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 154.36/154.51 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8031]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_785,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4882_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8019,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_785]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8020,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 154.36/154.51 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.51 | X1 = X2 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8019]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_782,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4883_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8013,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_782]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8014,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 154.36/154.51 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.51 | X0 = X2 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8013]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_780,plain,
% 154.36/154.51 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.51 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4884_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8009,plain,
% 154.36/154.51 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.51 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_780]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8010,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 154.36/154.51 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8009]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_778,plain,
% 154.36/154.51 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4885_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8005,plain,
% 154.36/154.51 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_778]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8006,plain,
% 154.36/154.51 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_8005]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_775,plain,
% 154.36/154.51 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = X0
% 154.36/154.51 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4886_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7999,plain,
% 154.36/154.51 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = X0
% 154.36/154.51 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_775]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_8000,plain,
% 154.36/154.51 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.51 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7999]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_773,plain,
% 154.36/154.51 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = X0
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4887_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7995,plain,
% 154.36/154.51 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = X0
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_773]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7996,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = X1 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7995]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_771,plain,
% 154.36/154.51 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = X0
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4888_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7991,plain,
% 154.36/154.51 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = X0
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_771]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7992,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = X1 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7991]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_769,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X1,X2) = X0
% 154.36/154.51 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4889_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7987,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X1,X2) = X0
% 154.36/154.51 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_769]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7988,plain,
% 154.36/154.51 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7987]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_765,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4891_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7979,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_765]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7980,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)
% 154.36/154.51 | X0 = X2 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7979]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_763,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X2,X0,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4892_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7975,plain,
% 154.36/154.51 ( X0 = X1
% 154.36/154.51 | c_HOL_Oplus__class_Oplus(X2,X0,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_763]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7976,plain,
% 154.36/154.51 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)
% 154.36/154.51 | X1 = X2 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7975]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_761,plain,
% 154.36/154.51 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4893_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7971,plain,
% 154.36/154.51 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_761]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7972,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X0),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7971]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_759,plain,
% 154.36/154.51 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4894_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7967,plain,
% 154.36/154.51 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_759]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7968,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7967]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_757,plain,
% 154.36/154.51 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X0,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4895_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7963,plain,
% 154.36/154.51 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X0,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_757]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7964,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X1,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7963]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_755,plain,
% 154.36/154.51 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X1,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4896_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7959,plain,
% 154.36/154.51 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X1,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_755]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7960,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X2,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7959]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_753,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X2,X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oring(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4897_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7955,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X2,X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oring(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_753]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7956,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oring(X0)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7955]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_751,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X0,X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4898_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7951,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X0,X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_751]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7952,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7951]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_749,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oring(X1) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4899_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7947,plain,
% 154.36/154.51 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 154.36/154.51 | ~ class_Ring__and__Field_Oring(X1) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_749]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7948,plain,
% 154.36/154.51 ( ~ class_Ring__and__Field_Oring(X0)
% 154.36/154.51 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7947]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_747,plain,
% 154.36/154.51 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4913_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7943,plain,
% 154.36/154.51 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_747]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7944,plain,
% 154.36/154.51 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 154.36/154.51 | c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7943]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_745,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4914_1) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7939,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.51 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_745]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7940,plain,
% 154.36/154.51 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7939]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_742,plain,
% 154.36/154.51 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | X0 = c_Suc(X1)
% 154.36/154.51 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4915_2) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7933,plain,
% 154.36/154.51 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | X0 = c_Suc(X1)
% 154.36/154.51 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_742]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7934,plain,
% 154.36/154.51 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 154.36/154.51 | c_lessequals(X0,X1,tc_nat)
% 154.36/154.51 | X0 = c_Suc(X1) ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7933]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_734,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | X0 = X1
% 154.36/154.51 | ~ c_lessequals(X0,X1,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4917_3) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7917,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | X0 = X1
% 154.36/154.51 | ~ c_lessequals(X0,X1,X2)
% 154.36/154.51 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.51 inference(copy,[status(esa)],[c_734]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_7918,plain,
% 154.36/154.51 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.51 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.51 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.51 | X1 = X2 ),
% 154.36/154.51 inference(rewriting,[status(thm)],[c_7917]) ).
% 154.36/154.51
% 154.36/154.51 cnf(c_718,plain,
% 154.36/154.51 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.51 | X0 = X1
% 154.36/154.52 | ~ c_lessequals(X0,X1,X2)
% 154.36/154.52 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4921_3) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7885,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.52 | X0 = X1
% 154.36/154.52 | ~ c_lessequals(X0,X1,X2)
% 154.36/154.52 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_718]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7886,plain,
% 154.36/154.52 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.52 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.52 | X1 = X2 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7885]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_710,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.36/154.52 | ~ c_lessequals(X1,X0,X2)
% 154.36/154.52 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4923_3) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7869,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.36/154.52 | ~ c_lessequals(X1,X0,X2)
% 154.36/154.52 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_710]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7870,plain,
% 154.36/154.52 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.52 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.52 | X2 = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7869]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_707,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,X2)
% 154.36/154.52 | c_Orderings_Oord__class_Omin(X0,X1,X2) != X0
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4924_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7863,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,X2)
% 154.36/154.52 | c_Orderings_Oord__class_Omin(X0,X1,X2) != X0
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_707]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7864,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | c_lessequals(X1,X2,X0)
% 154.36/154.52 | c_Orderings_Oord__class_Omin(X1,X2,X0) != X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7863]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_704,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,X2)
% 154.36/154.52 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4925_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7857,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,X2)
% 154.36/154.52 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_704]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7858,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | c_lessequals(X1,X2,X0)
% 154.36/154.52 | c_Orderings_Oord__class_Omax(X1,X2,X0) != X2 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7857]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_702,plain,
% 154.36/154.52 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 154.36/154.52 | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4926_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7853,plain,
% 154.36/154.52 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 154.36/154.52 | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_702]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_698,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4928_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7845,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_698]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_692,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | X1 = X0
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4930_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7833,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | X1 = X0
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_692]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7834,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | X1 = X0 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7833]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_689,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | X0 = X1
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4931_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7827,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | X0 = X1
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_689]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7828,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | X0 = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7827]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_686,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X1
% 154.36/154.52 | ~ c_lessequals(X1,X0,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4932_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7821,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X1
% 154.36/154.52 | ~ c_lessequals(X1,X0,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_686]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7822,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.52 | c_Orderings_Oord__class_Omin(X2,X1,X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7821]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_683,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X0
% 154.36/154.52 | ~ c_lessequals(X0,X1,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4933_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7815,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X0
% 154.36/154.52 | ~ c_lessequals(X0,X1,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_683]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7816,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.52 | c_Orderings_Oord__class_Omin(X1,X2,X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7815]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_680,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X0
% 154.36/154.52 | ~ c_lessequals(X1,X0,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4934_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7809,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X0
% 154.36/154.52 | ~ c_lessequals(X1,X0,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_680]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7810,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.52 | c_Orderings_Oord__class_Omax(X2,X1,X0) = X2 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7809]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_677,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X1
% 154.36/154.52 | ~ c_lessequals(X0,X1,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4935_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7803,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X1
% 154.36/154.52 | ~ c_lessequals(X0,X1,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_677]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7804,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | ~ c_lessequals(X1,X2,X0)
% 154.36/154.52 | c_Orderings_Oord__class_Omax(X1,X2,X0) = X2 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7803]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_675,plain,
% 154.36/154.52 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4936_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7799,plain,
% 154.36/154.52 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_675]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7800,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7799]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_673,plain,
% 154.36/154.52 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4937_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7795,plain,
% 154.36/154.52 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_673]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7796,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7795]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_667,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,X2)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.52 | ~ class_Orderings_Opreorder(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4939_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7783,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,X2)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.52 | ~ class_Orderings_Opreorder(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_667]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7784,plain,
% 154.36/154.52 ( ~ class_Orderings_Opreorder(X0)
% 154.36/154.52 | c_lessequals(X1,X2,X0)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7783]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_664,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,X2)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.52 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4940_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7777,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,X2)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.52 | ~ class_Orderings_Oorder(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_664]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7778,plain,
% 154.36/154.52 ( ~ class_Orderings_Oorder(X0)
% 154.36/154.52 | c_lessequals(X1,X2,X0)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7777]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_662,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4941_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7773,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_662]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7774,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7773]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_660,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4942_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7769,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_660]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7770,plain,
% 154.36/154.52 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7769]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_658,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4943_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7765,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_658]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_654,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4945_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7757,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_654]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7758,plain,
% 154.36/154.52 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7757]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_652,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4946_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7753,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_652]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7754,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7753]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_650,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4947_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7749,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_650]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_648,plain,
% 154.36/154.52 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4948_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7745,plain,
% 154.36/154.52 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_648]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_644,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.36/154.52 | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4950_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7737,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.36/154.52 | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_644]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7738,plain,
% 154.36/154.52 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7737]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_640,plain,
% 154.36/154.52 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4952_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7729,plain,
% 154.36/154.52 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_640]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_638,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oplus__class_Oplus(X0,X1,X2)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4953_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7725,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oplus__class_Oplus(X0,X1,X2)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_638]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7726,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7725]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_634,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4955_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7717,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_634]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7718,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7717]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_632,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 154.36/154.52 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4956_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7713,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 154.36/154.52 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_632]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7714,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7713]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_630,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 154.36/154.52 | ~ class_Int_Onumber__ring(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4957_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7709,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 154.36/154.52 | ~ class_Int_Onumber__ring(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_630]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7710,plain,
% 154.36/154.52 ( ~ class_Int_Onumber__ring(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7709]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_628,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4958_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7705,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,tc_nat)
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_628]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_619,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4961_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7687,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_619]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7688,plain,
% 154.36/154.52 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | X0 = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7687]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_617,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4962_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7683,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | ~ c_lessequals(X0,X1,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_617]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7684,plain,
% 154.36/154.52 ( ~ c_lessequals(X0,X1,tc_nat)
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7683]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_610,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4965_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7669,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_610]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_608,plain,
% 154.36/154.52 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 154.36/154.52 | ~ c_InductTermi_OIT(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4966_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7665,plain,
% 154.36/154.52 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 154.36/154.52 | ~ c_InductTermi_OIT(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_608]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_568,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | X1 = X2
% 154.36/154.52 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4977_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7585,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | X1 = X2
% 154.36/154.52 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_568]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7586,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 154.36/154.52 | X2 = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7585]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_565,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.36/154.52 | X0 = X1
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4977_3) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7579,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.36/154.52 | X0 = X1
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_565]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7580,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 154.36/154.52 | X1 = X2 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7579]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_558,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,X2)
% 154.36/154.52 | c_lessequals(X1,X0,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4981_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7565,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,X2)
% 154.36/154.52 | c_lessequals(X1,X0,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_558]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7566,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | c_lessequals(X1,X2,X0)
% 154.36/154.52 | c_lessequals(X2,X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7565]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_549,plain,
% 154.36/154.52 ( c_lessequals(X0,X0,X1)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4984_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7547,plain,
% 154.36/154.52 ( c_lessequals(X0,X0,X1)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_549]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7548,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | c_lessequals(X1,X1,X0)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7547]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_546,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,X2)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4985_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7541,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,X2)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_546]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7542,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | c_lessequals(X1,X2,X0)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7541]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_544,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4986_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7537,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_544]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7538,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7537]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_542,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = c_Orderings_Oord__class_Omin(X1,X0,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4987_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7533,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = c_Orderings_Oord__class_Omin(X1,X0,X2)
% 154.36/154.52 | ~ class_Orderings_Olinorder(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_542]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7534,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | c_Orderings_Oord__class_Omin(X1,X2,X0) = c_Orderings_Oord__class_Omin(X2,X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7533]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_538,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4989_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7525,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_538]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7526,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7525]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_534,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 154.36/154.52 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4991_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7517,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 154.36/154.52 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_534]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7518,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7517]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_532,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4992_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7513,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_532]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7514,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7513]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_530,plain,
% 154.36/154.52 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 154.36/154.52 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4993_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7509,plain,
% 154.36/154.52 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 154.36/154.52 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_530]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7510,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 154.36/154.52 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7509]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_527,plain,
% 154.36/154.52 ( c_HOL_Ouminus__class_Ouminus(X0,X1) = X2
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4996_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7503,plain,
% 154.36/154.52 ( c_HOL_Ouminus__class_Ouminus(X0,X1) = X2
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_527]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7504,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7503]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_524,plain,
% 154.36/154.52 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4997_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7497,plain,
% 154.36/154.52 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_524]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7498,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7497]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_522,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 154.36/154.52 | ~ class_Int_Onumber__ring(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4998_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7493,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 154.36/154.52 | ~ class_Int_Onumber__ring(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_522]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7494,plain,
% 154.36/154.52 ( ~ class_Int_Onumber__ring(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7493]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_520,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4999_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7489,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_520]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7490,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7489]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_518,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5000_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7485,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_518]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7486,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7485]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_514,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5002_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7477,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_514]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7478,plain,
% 154.36/154.52 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7477]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_512,plain,
% 154.36/154.52 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5003_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7473,plain,
% 154.36/154.52 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_512]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7474,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.52 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7473]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_510,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5004_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7469,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_510]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7470,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7469]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_506,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5008_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7461,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_506]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_504,plain,
% 154.36/154.52 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5008_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7457,plain,
% 154.36/154.52 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_504]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7458,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7457]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_503,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5009_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7455,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_503]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_500,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5009_3) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7449,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_500]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7450,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7449]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_495,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5011_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7439,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_495]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_492,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5011_3) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7433,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_492]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7434,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7433]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_487,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | X1 = X0
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5013_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7423,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | X1 = X0
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_487]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7424,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 154.36/154.52 | X1 = X0 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7423]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_482,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.52 | ~ class_Int_Onumber__ring(X2)
% 154.36/154.52 | ~ class_Ring__and__Field_Oidom(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5014_3) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7413,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.52 | ~ class_Int_Onumber__ring(X2)
% 154.36/154.52 | ~ class_Ring__and__Field_Oidom(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_482]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7414,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.36/154.52 | ~ class_Int_Onumber__ring(X0)
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = X2 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7413]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_480,plain,
% 154.36/154.52 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5015_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7409,plain,
% 154.36/154.52 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_480]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7410,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.36/154.52 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7409]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_472,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != X2
% 154.36/154.52 | ~ class_Int_Onumber__ring(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5017_3) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7393,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != X2
% 154.36/154.52 | ~ class_Int_Onumber__ring(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_472]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7394,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.36/154.52 | ~ class_Int_Onumber__ring(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 154.36/154.52 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7393]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_468,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.52 | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 154.36/154.52 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5018_3) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7385,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.52 | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 154.36/154.52 | ~ class_Ring__and__Field_Ofield(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_468]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7386,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.52 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 154.36/154.52 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = X2 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7385]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_459,plain,
% 154.36/154.52 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5021_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7367,plain,
% 154.36/154.52 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_459]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7368,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7367]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_456,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5022_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7361,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_456]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7362,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7361]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_454,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5023_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7357,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_454]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7358,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 154.36/154.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7357]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_452,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5024_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7353,plain,
% 154.36/154.52 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_452]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_449,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X0,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5030_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7347,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X0,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_449]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7348,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7347]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_446,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5031_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7341,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_446]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7342,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 154.36/154.52 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7341]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_444,plain,
% 154.36/154.52 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5032_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7337,plain,
% 154.36/154.52 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_444]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7338,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7337]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_442,plain,
% 154.36/154.52 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5033_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7333,plain,
% 154.36/154.52 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_442]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7334,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7333]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_438,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5035_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7325,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_438]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_436,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5035_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7321,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_436]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7322,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7321]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_433,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.52 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5036_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7315,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.52 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_433]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7316,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = X2 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7315]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_430,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5037_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7309,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_430]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7310,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = X2 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7309]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_420,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5040_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7289,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_420]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_418,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5040_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7285,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_418]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7286,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7285]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_414,plain,
% 154.36/154.52 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5042_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7277,plain,
% 154.36/154.52 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_414]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7278,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.52 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7277]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_412,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5045_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7273,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_412]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7274,plain,
% 154.36/154.52 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7273]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_410,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5046_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7269,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_410]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7270,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7269]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_408,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5047_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7265,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_408]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7266,plain,
% 154.36/154.52 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7265]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_405,plain,
% 154.36/154.52 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != X1 ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5048_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7259,plain,
% 154.36/154.52 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != X1 ),
% 154.36/154.52 inference(copy,[status(esa)],[c_405]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7260,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != X0
% 154.36/154.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7259]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_403,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5049_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7255,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_403]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7256,plain,
% 154.36/154.52 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 154.36/154.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7255]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_399,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5051_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7247,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_399]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7248,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7247]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_397,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5052_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7243,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_397]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7244,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7243]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_395,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5053_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7239,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_395]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7240,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7239]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_393,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5054_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7235,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_393]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7236,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7235]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_391,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5055_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7231,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_391]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7232,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7231]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_385,plain,
% 154.36/154.52 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5058_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7219,plain,
% 154.36/154.52 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_385]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7220,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 154.36/154.52 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7219]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_383,plain,
% 154.36/154.52 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5059_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7215,plain,
% 154.36/154.52 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_383]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7216,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 154.36/154.52 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7215]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_381,plain,
% 154.36/154.52 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 154.36/154.52 | ~ c_Lambda_Obeta(X0,X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5060_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7211,plain,
% 154.36/154.52 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 154.36/154.52 | ~ c_Lambda_Obeta(X0,X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_381]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_379,plain,
% 154.36/154.52 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X2,X1))
% 154.36/154.52 | ~ c_Lambda_Obeta(X0,X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5061_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7207,plain,
% 154.36/154.52 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X2,X1))
% 154.36/154.52 | ~ c_Lambda_Obeta(X0,X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_379]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_377,plain,
% 154.36/154.52 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X0,X2))
% 154.36/154.52 | ~ c_Lambda_Obeta(X1,X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5062_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7203,plain,
% 154.36/154.52 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X0,X2))
% 154.36/154.52 | ~ c_Lambda_Obeta(X1,X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_377]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_373,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != X1 ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5064_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7195,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != X1 ),
% 154.36/154.52 inference(copy,[status(esa)],[c_373]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7196,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X0
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7195]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_370,plain,
% 154.36/154.52 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Ofield(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5069_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7189,plain,
% 154.36/154.52 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Ofield(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_370]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7190,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.52 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7189]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_367,plain,
% 154.36/154.52 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Power_Opower(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5070_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7183,plain,
% 154.36/154.52 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Power_Opower(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_367]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7184,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 154.36/154.52 | ~ class_Power_Opower(X0)
% 154.36/154.52 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7183]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_363,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Power_Opower(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5074_3) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7175,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Power_Opower(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_363]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7176,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 154.36/154.52 | ~ class_Power_Opower(X0)
% 154.36/154.52 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7175]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_360,plain,
% 154.36/154.52 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 154.36/154.52 | ~ class_Power_Opower(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5075_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7169,plain,
% 154.36/154.52 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 154.36/154.52 | ~ class_Power_Opower(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_360]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7170,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 154.36/154.52 | ~ class_Power_Opower(X0)
% 154.36/154.52 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7169]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_358,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5076_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7165,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_358]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7166,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7165]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_349,plain,
% 154.36/154.52 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5082_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7147,plain,
% 154.36/154.52 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_349]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7148,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.52 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7147]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_345,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5083_3) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7139,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_345]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7140,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 154.36/154.52 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7139]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_343,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5084_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7135,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_343]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7136,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7135]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_340,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 154.36/154.52 | ~ class_Int_Onumber__ring(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5085_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7129,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 154.36/154.52 | ~ class_Int_Onumber__ring(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_340]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7130,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.36/154.52 | ~ class_Int_Onumber__ring(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7129]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_338,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5090_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7125,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_338]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7126,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.52 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7125]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_336,plain,
% 154.36/154.52 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5091_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7121,plain,
% 154.36/154.52 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_336]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7122,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.36/154.52 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7121]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_333,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Int_Onumber__ring(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5092_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7115,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Int_Onumber__ring(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_333]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7116,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.36/154.52 | ~ class_Int_Onumber__ring(X0)
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7115]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_331,plain,
% 154.36/154.52 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Ofield(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5093_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7111,plain,
% 154.36/154.52 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Ofield(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_331]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7112,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.52 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7111]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_327,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5095_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7103,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_327]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7104,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7103]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_325,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5096_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7099,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_325]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7100,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7099]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_323,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5097_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7095,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_323]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7096,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7095]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_321,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5098_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7091,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_321]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7092,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7091]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_319,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5099_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7087,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_319]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7088,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7087]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_317,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5100_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7083,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_317]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7084,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7083]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_315,plain,
% 154.36/154.52 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 154.36/154.52 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5101_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7079,plain,
% 154.36/154.52 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 154.36/154.52 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_315]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7080,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.36/154.52 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7079]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_309,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5103_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7067,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_309]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7068,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.52 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7067]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_305,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5105_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7059,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_305]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7060,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7059]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_303,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 154.36/154.52 | ~ class_OrderedGroup_Omonoid__add(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5106_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7055,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 154.36/154.52 | ~ class_OrderedGroup_Omonoid__add(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_303]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7056,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7055]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_301,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 154.36/154.52 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5107_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7051,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 154.36/154.52 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_301]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7052,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7051]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_299,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 154.36/154.52 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5108_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7047,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 154.36/154.52 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_299]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7048,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7047]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_297,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 154.36/154.52 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5109_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7043,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 154.36/154.52 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_297]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7044,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7043]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_295,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5110_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7039,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_295]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7040,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.52 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7039]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_293,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5111_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7035,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_293]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7036,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7035]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_291,plain,
% 154.36/154.52 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5112_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7031,plain,
% 154.36/154.52 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_291]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7032,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.52 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7031]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_289,plain,
% 154.36/154.52 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 154.36/154.52 | ~ class_Power_Opower(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5113_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7027,plain,
% 154.36/154.52 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 154.36/154.52 | ~ class_Power_Opower(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_289]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7028,plain,
% 154.36/154.52 ( ~ class_Power_Opower(X0)
% 154.36/154.52 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7027]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_287,plain,
% 154.36/154.52 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.36/154.52 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5114_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7023,plain,
% 154.36/154.52 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.36/154.52 | ~ class_Ring__and__Field_Ofield(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_287]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7024,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ofield(X0)
% 154.36/154.52 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7023]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_283,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5116_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7015,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_283]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7016,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7015]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_281,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.36/154.52 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5117_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7011,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.36/154.52 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_281]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7012,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7011]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_279,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.36/154.52 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5118_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7007,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.36/154.52 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_279]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7008,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7007]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_277,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.36/154.52 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5119_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7003,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.36/154.52 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_277]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7004,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_7003]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_275,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5120_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6999,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_275]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_7000,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6999]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_273,plain,
% 154.36/154.52 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 154.36/154.52 | ~ class_Orderings_Obot(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5122_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6995,plain,
% 154.36/154.52 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 154.36/154.52 | ~ class_Orderings_Obot(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_273]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6996,plain,
% 154.36/154.52 ( ~ class_Orderings_Obot(X0)
% 154.36/154.52 | c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6995]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_271,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5123_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6991,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_271]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6992,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6991]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_267,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5125_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6983,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_267]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6984,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.52 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6983]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_265,plain,
% 154.36/154.52 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 154.36/154.52 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5126_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6979,plain,
% 154.36/154.52 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 154.36/154.52 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_265]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6980,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.36/154.52 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6979]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_263,plain,
% 154.36/154.52 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5127_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6975,plain,
% 154.36/154.52 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 154.36/154.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_263]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6976,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.36/154.52 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6975]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_261,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 154.36/154.52 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5130_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6971,plain,
% 154.36/154.52 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 154.36/154.52 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_261]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6972,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 154.36/154.52 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6971]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_259,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 154.36/154.52 | ~ class_Orderings_Olinorder(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5131_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6967,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 154.36/154.52 | ~ class_Orderings_Olinorder(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_259]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6968,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6967]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_257,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omin(X0,X0,X1) = X0
% 154.36/154.52 | ~ class_Orderings_Olinorder(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5132_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6963,plain,
% 154.36/154.52 ( c_Orderings_Oord__class_Omin(X0,X0,X1) = X0
% 154.36/154.52 | ~ class_Orderings_Olinorder(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_257]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6964,plain,
% 154.36/154.52 ( ~ class_Orderings_Olinorder(X0)
% 154.36/154.52 | c_Orderings_Oord__class_Omin(X1,X1,X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6963]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_255,plain,
% 154.36/154.52 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5135_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6959,plain,
% 154.36/154.52 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_255]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6960,plain,
% 154.36/154.52 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6959]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_253,plain,
% 154.36/154.52 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5136_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6955,plain,
% 154.36/154.52 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_253]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6956,plain,
% 154.36/154.52 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6955]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_251,plain,
% 154.36/154.52 ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5141_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6951,plain,
% 154.36/154.52 ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_251]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6952,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 154.36/154.52 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6951]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_249,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5142_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6947,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.36/154.52 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_249]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6948,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.36/154.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6947]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_246,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5165_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6941,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_246]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6942,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 154.36/154.52 | X1 = X2 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6941]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_243,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 154.36/154.52 | ~ class_Lattices_Oboolean__algebra(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5166_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6935,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 154.36/154.52 | ~ class_Lattices_Oboolean__algebra(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_243]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6936,plain,
% 154.36/154.52 ( ~ class_Lattices_Oboolean__algebra(X0)
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 154.36/154.52 | X1 = X2 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6935]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_240,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 154.36/154.52 | ~ class_Nat_Osemiring__char__0(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5167_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6929,plain,
% 154.36/154.52 ( X0 = X1
% 154.36/154.52 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 154.36/154.52 | ~ class_Nat_Osemiring__char__0(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_240]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6930,plain,
% 154.36/154.52 ( ~ class_Nat_Osemiring__char__0(X0)
% 154.36/154.52 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 154.36/154.52 | X1 = X2 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6929]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_238,plain,
% 154.36/154.52 ( c_InductTermi_OIT(c_Lambda_OdB_OApp(X0,c_Lambda_OdB_OVar(X1)))
% 154.36/154.52 | ~ c_InductTermi_OIT(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5171_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6925,plain,
% 154.36/154.52 ( c_InductTermi_OIT(c_Lambda_OdB_OApp(X0,c_Lambda_OdB_OVar(X1)))
% 154.36/154.52 | ~ c_InductTermi_OIT(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_238]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_236,plain,
% 154.36/154.52 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 154.36/154.52 | ~ c_Lambda_Obeta(X0,X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5172_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6921,plain,
% 154.36/154.52 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 154.36/154.52 | ~ c_Lambda_Obeta(X0,X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_236]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_228,plain,
% 154.36/154.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 154.36/154.52 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5176_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6905,plain,
% 154.36/154.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 154.36/154.52 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_228]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6906,plain,
% 154.36/154.52 ( ~ class_Lattices_Oboolean__algebra(X0)
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6905]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_226,plain,
% 154.36/154.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5177_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6901,plain,
% 154.36/154.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_226]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6902,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6901]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_224,plain,
% 154.36/154.52 ( X0 = X1 | c_Lambda_OdB_OApp(X2,X0) != c_Lambda_OdB_OApp(X3,X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5178_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6897,plain,
% 154.36/154.52 ( X0 = X1 | c_Lambda_OdB_OApp(X2,X0) != c_Lambda_OdB_OApp(X3,X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_224]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6898,plain,
% 154.36/154.52 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X1 = X3 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6897]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_222,plain,
% 154.36/154.52 ( X0 = X1 | c_Lambda_OdB_OApp(X0,X2) != c_Lambda_OdB_OApp(X1,X3) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5179_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6893,plain,
% 154.36/154.52 ( X0 = X1 | c_Lambda_OdB_OApp(X0,X2) != c_Lambda_OdB_OApp(X1,X3) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_222]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6894,plain,
% 154.36/154.52 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X0 = X2 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6893]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_219,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5180_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6887,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_219]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6888,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 154.36/154.52 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6887]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_216,plain,
% 154.36/154.52 ( c_HOL_Ozero__class_Ozero(X0) = X1
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5181_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6881,plain,
% 154.36/154.52 ( c_HOL_Ozero__class_Ozero(X0) = X1
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_216]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6882,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.52 | c_HOL_Ozero__class_Ozero(X0) = X1
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6881]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_213,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5182_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6875,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_213]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6876,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6875]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_211,plain,
% 154.36/154.52 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5183_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6871,plain,
% 154.36/154.52 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_211]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_208,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 154.36/154.52 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5184_2) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6865,plain,
% 154.36/154.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 154.36/154.52 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_208]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6866,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 154.36/154.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6865]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_206,plain,
% 154.36/154.52 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5186_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6861,plain,
% 154.36/154.52 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_206]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6862,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 154.36/154.52 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6861]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_204,plain,
% 154.36/154.52 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Osgn__if(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5187_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6857,plain,
% 154.36/154.52 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Osgn__if(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_204]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6858,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 154.36/154.52 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6857]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_200,plain,
% 154.36/154.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5189_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6849,plain,
% 154.36/154.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_200]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6850,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6849]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_198,plain,
% 154.36/154.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5190_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6845,plain,
% 154.36/154.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_198]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6846,plain,
% 154.36/154.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 154.36/154.52 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6845]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_196,plain,
% 154.36/154.52 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5195_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6841,plain,
% 154.36/154.52 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_196]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6842,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.36/154.52 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6841]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_194,plain,
% 154.36/154.52 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5196_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6837,plain,
% 154.36/154.52 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_194]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6838,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.36/154.52 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6837]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_190,plain,
% 154.36/154.52 ( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5199_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6829,plain,
% 154.36/154.52 ( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0)
% 154.36/154.52 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_190]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6830,plain,
% 154.36/154.52 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 154.36/154.52 | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6829]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_188,plain,
% 154.36/154.52 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5202_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6825,plain,
% 154.36/154.52 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_188]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_186,plain,
% 154.36/154.52 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5203_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6821,plain,
% 154.36/154.52 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_186]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6822,plain,
% 154.36/154.52 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6821]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_184,plain,
% 154.36/154.52 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5204_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6817,plain,
% 154.36/154.52 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_184]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6818,plain,
% 154.36/154.52 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6817]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_180,plain,
% 154.36/154.52 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5206_1) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6809,plain,
% 154.36/154.52 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_180]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6810,plain,
% 154.36/154.52 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 154.36/154.52 inference(rewriting,[status(thm)],[c_6809]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_179,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4733_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6807,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_179]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_178,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4734_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6805,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_178]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_177,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5043_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6803,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_177]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_176,plain,
% 154.36/154.52 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5044_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6801,plain,
% 154.36/154.52 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_176]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_174,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5066_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6797,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_174]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_172,plain,
% 154.36/154.52 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5068_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6793,plain,
% 154.36/154.52 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 154.36/154.52 inference(copy,[status(esa)],[c_172]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_170,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5073_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6789,plain,
% 154.36/154.52 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_170]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_169,plain,
% 154.36/154.52 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5185_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6787,plain,
% 154.36/154.52 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_169]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_168,plain,
% 154.36/154.52 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OVar(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5191_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6785,plain,
% 154.36/154.52 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OVar(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_168]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_167,plain,
% 154.36/154.52 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5192_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6783,plain,
% 154.36/154.52 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_167]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_166,plain,
% 154.36/154.52 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5193_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6781,plain,
% 154.36/154.52 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_166]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_165,plain,
% 154.36/154.52 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OAbs(X2) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5194_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6779,plain,
% 154.36/154.52 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OAbs(X2) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_165]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_164,plain,
% 154.36/154.52 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5209_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6777,plain,
% 154.36/154.52 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_164]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_163,plain,
% 154.36/154.52 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5210_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6775,plain,
% 154.36/154.52 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_163]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_161,plain,
% 154.36/154.52 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5213_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6771,plain,
% 154.36/154.52 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_161]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_159,plain,
% 154.36/154.52 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5215_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6767,plain,
% 154.36/154.52 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_159]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_157,plain,
% 154.36/154.52 ( c_Suc(X0) != X0 ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5220_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6763,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_157]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_153,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4350_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6757,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_153]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_144,plain,
% 154.36/154.52 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4554_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6747,plain,
% 154.36/154.52 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_144]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_139,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4662_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6741,plain,
% 154.36/154.52 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_139]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_134,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4667_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6735,plain,
% 154.36/154.52 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_134]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_127,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4703_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6726,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_127]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_126,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat) ),
% 154.36/154.52 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4704_0) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_6724,plain,
% 154.36/154.52 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat) ),
% 154.36/154.52 inference(copy,[status(esa)],[c_126]) ).
% 154.36/154.52
% 154.36/154.52 cnf(c_111,plain,
% 154.36/154.52 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(X0),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4902_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6708,plain,
% 154.36/154.53 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(X0),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_111]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_109,plain,
% 154.36/154.53 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4904_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6705,plain,
% 154.36/154.53 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_109]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_105,plain,
% 154.36/154.53 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4908_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6700,plain,
% 154.36/154.53 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_105]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_103,plain,
% 154.36/154.53 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4910_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6696,plain,
% 154.36/154.53 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_103]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_102,plain,
% 154.36/154.53 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4911_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6694,plain,
% 154.36/154.53 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_102]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_101,plain,
% 154.36/154.53 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4912_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6692,plain,
% 154.36/154.53 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_101]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_97,plain,
% 154.36/154.53 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_4995_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6687,plain,
% 154.36/154.53 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_97]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_96,plain,
% 154.36/154.53 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5005_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6685,plain,
% 154.36/154.53 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_96]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_95,plain,
% 154.36/154.53 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5006_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6683,plain,
% 154.36/154.53 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_95]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_91,plain,
% 154.36/154.53 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5028_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6678,plain,
% 154.36/154.53 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_91]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_90,plain,
% 154.36/154.53 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5029_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6676,plain,
% 154.36/154.53 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_90]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_81,plain,
% 154.36/154.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5121_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6666,plain,
% 154.36/154.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_81]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_80,plain,
% 154.36/154.53 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5128_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6664,plain,
% 154.36/154.53 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_80]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_77,plain,
% 154.36/154.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5134_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6659,plain,
% 154.36/154.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_77]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_70,plain,
% 154.36/154.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5145_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6651,plain,
% 154.36/154.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_70]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_68,plain,
% 154.36/154.53 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5147_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6647,plain,
% 154.36/154.53 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_68]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_52,plain,
% 154.36/154.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5163_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6630,plain,
% 154.36/154.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_52]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_49,plain,
% 154.36/154.53 ( c_lessequals(X0,X0,tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5169_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6625,plain,
% 154.36/154.53 ( c_lessequals(X0,X0,tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_49]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_41,plain,
% 154.36/154.53 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5216_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6616,plain,
% 154.36/154.53 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_41]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_36,plain,
% 154.36/154.53 ( class_Power_Opower(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5223_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6610,plain,
% 154.36/154.53 ( class_Power_Opower(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_36]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_35,plain,
% 154.36/154.53 ( class_Orderings_Obot(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5224_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6608,plain,
% 154.36/154.53 ( class_Orderings_Obot(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_35]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_34,plain,
% 154.36/154.53 ( class_Orderings_Oorder(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5225_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6606,plain,
% 154.36/154.53 ( class_Orderings_Oorder(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_34]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_33,plain,
% 154.36/154.53 ( class_Orderings_Olinorder(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5226_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6604,plain,
% 154.36/154.53 ( class_Orderings_Olinorder(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_33]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_32,plain,
% 154.36/154.53 ( class_Orderings_Opreorder(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5227_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6602,plain,
% 154.36/154.53 ( class_Orderings_Opreorder(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_32]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_31,plain,
% 154.36/154.53 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5228_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6600,plain,
% 154.36/154.53 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_31]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_30,plain,
% 154.36/154.53 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5229_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6598,plain,
% 154.36/154.53 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_30]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_29,plain,
% 154.36/154.53 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5230_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6596,plain,
% 154.36/154.53 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_29]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_28,plain,
% 154.36/154.53 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5231_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6594,plain,
% 154.36/154.53 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_28]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_27,plain,
% 154.36/154.53 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5232_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6592,plain,
% 154.36/154.53 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_27]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_26,plain,
% 154.36/154.53 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5233_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6590,plain,
% 154.36/154.53 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_26]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_25,plain,
% 154.36/154.53 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5234_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6588,plain,
% 154.36/154.53 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_25]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_24,plain,
% 154.36/154.53 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5235_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6586,plain,
% 154.36/154.53 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_24]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_23,plain,
% 154.36/154.53 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5236_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6584,plain,
% 154.36/154.53 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_23]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_22,plain,
% 154.36/154.53 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5237_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6582,plain,
% 154.36/154.53 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_22]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_21,plain,
% 154.36/154.53 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5238_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6580,plain,
% 154.36/154.53 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_21]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_20,plain,
% 154.36/154.53 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5239_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6578,plain,
% 154.36/154.53 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_20]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_19,plain,
% 154.36/154.53 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5240_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6576,plain,
% 154.36/154.53 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_19]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_18,plain,
% 154.36/154.53 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5241_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6574,plain,
% 154.36/154.53 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_18]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_17,plain,
% 154.36/154.53 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5242_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6572,plain,
% 154.36/154.53 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_17]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_16,plain,
% 154.36/154.53 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5243_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6570,plain,
% 154.36/154.53 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_16]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_15,plain,
% 154.36/154.53 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5244_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6568,plain,
% 154.36/154.53 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_15]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_14,plain,
% 154.36/154.53 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5245_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6566,plain,
% 154.36/154.53 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_14]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_13,plain,
% 154.36/154.53 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5246_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6564,plain,
% 154.36/154.53 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_13]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_12,plain,
% 154.36/154.53 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5247_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6562,plain,
% 154.36/154.53 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_12]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_11,plain,
% 154.36/154.53 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5248_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6560,plain,
% 154.36/154.53 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_11]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_10,plain,
% 154.36/154.53 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5249_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6558,plain,
% 154.36/154.53 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_10]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_9,plain,
% 154.36/154.53 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5250_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6556,plain,
% 154.36/154.53 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_9]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_8,plain,
% 154.36/154.53 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5251_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6554,plain,
% 154.36/154.53 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_8]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_7,plain,
% 154.36/154.53 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5252_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6552,plain,
% 154.36/154.53 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_7]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6,plain,
% 154.36/154.53 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5253_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6550,plain,
% 154.36/154.53 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_6]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_5,plain,
% 154.36/154.53 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5254_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6548,plain,
% 154.36/154.53 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_5]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_4,plain,
% 154.36/154.53 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5255_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6546,plain,
% 154.36/154.53 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_4]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_3,plain,
% 154.36/154.53 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5256_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6544,plain,
% 154.36/154.53 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_3]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_2,plain,
% 154.36/154.53 ( c_InductTermi_OIT(v_u____) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5257_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6542,plain,
% 154.36/154.53 ( c_InductTermi_OIT(v_u____) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_2]) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_1,plain,
% 154.36/154.53 ( c_InductTermi_OIT(v_ua______) ),
% 154.36/154.53 file('/export/starexec/sandbox/tmp/iprover_modulo_234d07.p', c_0_5258_0) ).
% 154.36/154.53
% 154.36/154.53 cnf(c_6540,plain,
% 154.36/154.53 ( c_InductTermi_OIT(v_ua______) ),
% 154.36/154.53 inference(copy,[status(esa)],[c_1]) ).
% 154.36/154.53
% 154.36/154.53
% 154.36/154.53
% 154.36/154.53 % ------ Statistics
% 154.36/154.53
% 154.36/154.53 % ------ General
% 154.36/154.53
% 154.36/154.53 % num_of_input_clauses: 2905
% 154.36/154.53 % num_of_input_neg_conjectures: 1
% 154.36/154.53 % num_of_splits: 0
% 154.36/154.53 % num_of_split_atoms: 0
% 154.36/154.53 % num_of_sem_filtered_clauses: 0
% 154.36/154.53 % num_of_subtypes: 0
% 154.36/154.53 % monotx_restored_types: 0
% 154.36/154.53 % sat_num_of_epr_types: 0
% 154.36/154.53 % sat_num_of_non_cyclic_types: 0
% 154.36/154.53 % sat_guarded_non_collapsed_types: 0
% 154.36/154.53 % is_epr: 0
% 154.36/154.53 % is_horn: 0
% 154.36/154.53 % has_eq: 1
% 154.36/154.53 % num_pure_diseq_elim: 0
% 154.36/154.53 % simp_replaced_by: 0
% 154.36/154.53 % res_preprocessed: 2
% 154.36/154.53 % prep_upred: 0
% 154.36/154.53 % prep_unflattend: 0
% 154.36/154.53 % pred_elim_cands: 0
% 154.36/154.53 % pred_elim: 0
% 154.36/154.53 % pred_elim_cl: 0
% 154.36/154.53 % pred_elim_cycles: 0
% 154.36/154.53 % forced_gc_time: 0
% 154.36/154.53 % gc_basic_clause_elim: 0
% 154.36/154.53 % parsing_time: 0.095
% 154.36/154.53 % sem_filter_time: 0.
% 154.36/154.53 % pred_elim_time: 0.
% 154.36/154.53 % out_proof_time: 0.
% 154.36/154.53 % monotx_time: 0.
% 154.36/154.53 % subtype_inf_time: 0.
% 154.36/154.53 % unif_index_cands_time: 0.
% 154.36/154.53 % unif_index_add_time: 0.001
% 154.36/154.53 % total_time: 3.665
% 154.36/154.53 % num_of_symbols: 130
% 154.36/154.53 % num_of_terms: 4433
% 154.36/154.53
% 154.36/154.53 % ------ Propositional Solver
% 154.36/154.53
% 154.36/154.53 % prop_solver_calls: 1
% 154.36/154.53 % prop_fast_solver_calls: 3
% 154.36/154.53 % prop_num_of_clauses: 2505
% 154.36/154.53 % prop_preprocess_simplified: 9013
% 154.36/154.53 % prop_fo_subsumed: 0
% 154.36/154.53 % prop_solver_time: 0.
% 154.36/154.53 % prop_fast_solver_time: 0.
% 154.36/154.53 % prop_unsat_core_time: 0.
% 154.36/154.53
% 154.36/154.53 % ------ QBF
% 154.36/154.53
% 154.36/154.53 % qbf_q_res: 0
% 154.36/154.53 % qbf_num_tautologies: 0
% 154.36/154.53 % qbf_prep_cycles: 0
% 154.36/154.53
% 154.36/154.53 % ------ BMC1
% 154.36/154.53
% 154.36/154.53 % bmc1_current_bound: -1
% 154.36/154.53 % bmc1_last_solved_bound: -1
% 154.36/154.53 % bmc1_unsat_core_size: -1
% 154.36/154.53 % bmc1_unsat_core_parents_size: -1
% 154.36/154.53 % bmc1_merge_next_fun: 0
% 154.36/154.53 % bmc1_unsat_core_clauses_time: 0.
% 154.36/154.53
% 154.36/154.53 % ------ Instantiation
% 154.36/154.53
% 154.36/154.53 % inst_num_of_clauses: 2604
% 154.36/154.53 % inst_num_in_passive: 0
% 154.36/154.53 % inst_num_in_active: 0
% 154.36/154.53 % inst_num_in_unprocessed: 2905
% 154.36/154.53 % inst_num_of_loops: 0
% 154.36/154.53 % inst_num_of_learning_restarts: 0
% 154.36/154.53 % inst_num_moves_active_passive: 0
% 154.36/154.53 % inst_lit_activity: 0
% 154.36/154.53 % inst_lit_activity_moves: 0
% 154.36/154.53 % inst_num_tautologies: 0
% 154.36/154.53 % inst_num_prop_implied: 0
% 154.36/154.53 % inst_num_existing_simplified: 0
% 154.36/154.53 % inst_num_eq_res_simplified: 0
% 154.36/154.53 % inst_num_child_elim: 0
% 154.36/154.53 % inst_num_of_dismatching_blockings: 0
% 154.36/154.53 % inst_num_of_non_proper_insts: 0
% 154.36/154.53 % inst_num_of_duplicates: 0
% 154.36/154.53 % inst_inst_num_from_inst_to_res: 0
% 154.36/154.53 % inst_dismatching_checking_time: 0.
% 154.36/154.53
% 154.36/154.53 % ------ Resolution
% 154.36/154.53
% 154.36/154.53 % res_num_of_clauses: 2892
% 154.36/154.53 % res_num_in_passive: 0
% 154.36/154.53 % res_num_in_active: 953
% 154.36/154.53 % res_num_of_loops: 2
% 154.36/154.53 % res_forward_subset_subsumed: 1862
% 154.36/154.53 % res_backward_subset_subsumed: 0
% 154.36/154.53 % res_forward_subsumed: 0
% 154.36/154.53 % res_backward_subsumed: 0
% 154.36/154.53 % res_forward_subsumption_resolution: 0
% 154.36/154.53 % res_backward_subsumption_resolution: 0
% 154.36/154.53 % res_clause_to_clause_subsumption: 0
% 154.36/154.53 % res_orphan_elimination: 0
% 154.36/154.53 % res_tautology_del: 0
% 154.36/154.53 % res_num_eq_res_simplified: 0
% 154.36/154.53 % res_num_sel_changes: 0
% 154.36/154.53 % res_moves_from_active_to_pass: 0
% 154.36/154.53
% 154.36/154.53 % Status Unknown
% 154.36/154.53 % Last status :
% 154.36/154.53 % SZS status Unknown
%------------------------------------------------------------------------------