TSTP Solution File: LCL852-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL852-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n014.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 11:40:48 EDT 2022
% Result : Unknown 153.20s 153.48s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL852-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n014.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 03:13:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.20/0.51 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.51 % Orientation found
% 0.20/0.51 % 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_8629a0.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_c4a616.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_001f58 | grep -v "SZS"
% 0.20/0.53
% 0.20/0.53 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.53
% 0.20/0.53 %
% 0.20/0.53 % ------ iProver source info
% 0.20/0.53
% 0.20/0.53 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.53 % git: non_committed_changes: true
% 0.20/0.53 % git: last_make_outside_of_git: true
% 0.20/0.53
% 0.20/0.53 %
% 0.20/0.53 % ------ Input Options
% 0.20/0.53
% 0.20/0.53 % --out_options all
% 0.20/0.53 % --tptp_safe_out true
% 0.20/0.53 % --problem_path ""
% 0.20/0.53 % --include_path ""
% 0.20/0.53 % --clausifier .//eprover
% 0.20/0.53 % --clausifier_options --tstp-format
% 0.20/0.53 % --stdin false
% 0.20/0.53 % --dbg_backtrace false
% 0.20/0.53 % --dbg_dump_prop_clauses false
% 0.20/0.53 % --dbg_dump_prop_clauses_file -
% 0.20/0.53 % --dbg_out_stat false
% 0.20/0.53
% 0.20/0.53 % ------ General Options
% 0.20/0.53
% 0.20/0.53 % --fof false
% 0.20/0.53 % --time_out_real 150.
% 0.20/0.53 % --time_out_prep_mult 0.2
% 0.20/0.53 % --time_out_virtual -1.
% 0.20/0.53 % --schedule none
% 0.20/0.53 % --ground_splitting input
% 0.20/0.53 % --splitting_nvd 16
% 0.20/0.53 % --non_eq_to_eq false
% 0.20/0.53 % --prep_gs_sim true
% 0.20/0.53 % --prep_unflatten false
% 0.20/0.53 % --prep_res_sim true
% 0.20/0.53 % --prep_upred true
% 0.20/0.53 % --res_sim_input true
% 0.20/0.53 % --clause_weak_htbl true
% 0.20/0.53 % --gc_record_bc_elim false
% 0.20/0.53 % --symbol_type_check false
% 0.20/0.53 % --clausify_out false
% 0.20/0.53 % --large_theory_mode false
% 0.20/0.53 % --prep_sem_filter none
% 0.20/0.53 % --prep_sem_filter_out false
% 0.20/0.53 % --preprocessed_out false
% 0.20/0.53 % --sub_typing false
% 0.20/0.53 % --brand_transform false
% 0.20/0.53 % --pure_diseq_elim true
% 0.20/0.53 % --min_unsat_core false
% 0.20/0.53 % --pred_elim true
% 0.20/0.53 % --add_important_lit false
% 0.20/0.53 % --soft_assumptions false
% 0.20/0.53 % --reset_solvers false
% 0.20/0.53 % --bc_imp_inh []
% 0.20/0.53 % --conj_cone_tolerance 1.5
% 0.20/0.53 % --prolific_symb_bound 500
% 0.20/0.53 % --lt_threshold 2000
% 0.20/0.53
% 0.20/0.53 % ------ SAT Options
% 0.20/0.53
% 0.20/0.53 % --sat_mode false
% 0.20/0.53 % --sat_fm_restart_options ""
% 0.20/0.53 % --sat_gr_def false
% 0.20/0.53 % --sat_epr_types true
% 0.20/0.53 % --sat_non_cyclic_types false
% 0.20/0.53 % --sat_finite_models false
% 0.20/0.53 % --sat_fm_lemmas false
% 0.20/0.53 % --sat_fm_prep false
% 0.20/0.53 % --sat_fm_uc_incr true
% 0.20/0.53 % --sat_out_model small
% 0.20/0.53 % --sat_out_clauses false
% 0.20/0.53
% 0.20/0.53 % ------ QBF Options
% 0.20/0.53
% 0.20/0.53 % --qbf_mode false
% 0.20/0.53 % --qbf_elim_univ true
% 0.20/0.53 % --qbf_sk_in true
% 0.20/0.53 % --qbf_pred_elim true
% 0.20/0.53 % --qbf_split 32
% 0.20/0.53
% 0.20/0.53 % ------ BMC1 Options
% 0.20/0.53
% 0.20/0.53 % --bmc1_incremental false
% 0.20/0.53 % --bmc1_axioms reachable_all
% 0.20/0.53 % --bmc1_min_bound 0
% 0.20/0.53 % --bmc1_max_bound -1
% 0.20/0.53 % --bmc1_max_bound_default -1
% 0.20/0.53 % --bmc1_symbol_reachability true
% 0.20/0.53 % --bmc1_property_lemmas false
% 0.20/0.53 % --bmc1_k_induction false
% 0.20/0.53 % --bmc1_non_equiv_states false
% 0.20/0.53 % --bmc1_deadlock false
% 0.20/0.53 % --bmc1_ucm false
% 0.20/0.53 % --bmc1_add_unsat_core none
% 0.20/0.53 % --bmc1_unsat_core_children false
% 0.20/0.53 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.53 % --bmc1_out_stat full
% 0.20/0.53 % --bmc1_ground_init false
% 0.20/0.53 % --bmc1_pre_inst_next_state false
% 0.20/0.53 % --bmc1_pre_inst_state false
% 0.20/0.53 % --bmc1_pre_inst_reach_state false
% 0.20/0.53 % --bmc1_out_unsat_core false
% 0.20/0.53 % --bmc1_aig_witness_out false
% 0.20/0.53 % --bmc1_verbose false
% 0.20/0.53 % --bmc1_dump_clauses_tptp false
% 150.30/150.54 % --bmc1_dump_unsat_core_tptp false
% 150.30/150.54 % --bmc1_dump_file -
% 150.30/150.54 % --bmc1_ucm_expand_uc_limit 128
% 150.30/150.54 % --bmc1_ucm_n_expand_iterations 6
% 150.30/150.54 % --bmc1_ucm_extend_mode 1
% 150.30/150.54 % --bmc1_ucm_init_mode 2
% 150.30/150.54 % --bmc1_ucm_cone_mode none
% 150.30/150.54 % --bmc1_ucm_reduced_relation_type 0
% 150.30/150.54 % --bmc1_ucm_relax_model 4
% 150.30/150.54 % --bmc1_ucm_full_tr_after_sat true
% 150.30/150.54 % --bmc1_ucm_expand_neg_assumptions false
% 150.30/150.54 % --bmc1_ucm_layered_model none
% 150.30/150.54 % --bmc1_ucm_max_lemma_size 10
% 150.30/150.54
% 150.30/150.54 % ------ AIG Options
% 150.30/150.54
% 150.30/150.54 % --aig_mode false
% 150.30/150.54
% 150.30/150.54 % ------ Instantiation Options
% 150.30/150.54
% 150.30/150.54 % --instantiation_flag true
% 150.30/150.54 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.30/150.54 % --inst_solver_per_active 750
% 150.30/150.54 % --inst_solver_calls_frac 0.5
% 150.30/150.54 % --inst_passive_queue_type priority_queues
% 150.30/150.54 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.30/150.54 % --inst_passive_queues_freq [25;2]
% 150.30/150.54 % --inst_dismatching true
% 150.30/150.54 % --inst_eager_unprocessed_to_passive true
% 150.30/150.54 % --inst_prop_sim_given true
% 150.30/150.54 % --inst_prop_sim_new false
% 150.30/150.54 % --inst_orphan_elimination true
% 150.30/150.54 % --inst_learning_loop_flag true
% 150.30/150.54 % --inst_learning_start 3000
% 150.30/150.54 % --inst_learning_factor 2
% 150.30/150.54 % --inst_start_prop_sim_after_learn 3
% 150.30/150.54 % --inst_sel_renew solver
% 150.30/150.54 % --inst_lit_activity_flag true
% 150.30/150.54 % --inst_out_proof true
% 150.30/150.54
% 150.30/150.54 % ------ Resolution Options
% 150.30/150.54
% 150.30/150.54 % --resolution_flag true
% 150.30/150.54 % --res_lit_sel kbo_max
% 150.30/150.54 % --res_to_prop_solver none
% 150.30/150.54 % --res_prop_simpl_new false
% 150.30/150.54 % --res_prop_simpl_given false
% 150.30/150.54 % --res_passive_queue_type priority_queues
% 150.30/150.54 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.30/150.54 % --res_passive_queues_freq [15;5]
% 150.30/150.54 % --res_forward_subs full
% 150.30/150.54 % --res_backward_subs full
% 150.30/150.54 % --res_forward_subs_resolution true
% 150.30/150.54 % --res_backward_subs_resolution true
% 150.30/150.54 % --res_orphan_elimination false
% 150.30/150.54 % --res_time_limit 1000.
% 150.30/150.54 % --res_out_proof true
% 150.30/150.54 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_8629a0.s
% 150.30/150.54 % --modulo true
% 150.30/150.54
% 150.30/150.54 % ------ Combination Options
% 150.30/150.54
% 150.30/150.54 % --comb_res_mult 1000
% 150.30/150.54 % --comb_inst_mult 300
% 150.30/150.54 % ------
% 150.30/150.54
% 150.30/150.54 % ------ Parsing...% successful
% 150.30/150.54
% 150.30/150.54 % ------ 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 %
% 150.30/150.54
% 150.30/150.54 % ------ Proving...
% 150.30/150.54 % ------ Problem Properties
% 150.30/150.54
% 150.30/150.54 %
% 150.30/150.54 % EPR false
% 150.30/150.54 % Horn false
% 150.30/150.54 % Has equality true
% 150.30/150.54
% 150.30/150.54 % % ------ Input Options Time Limit: Unbounded
% 150.30/150.54
% 150.30/150.54
% 150.30/150.54 Compiling...
% 150.30/150.54 Loading plugin: done.
% 150.30/150.54 %
% 150.30/150.54
% 150.30/150.54
% 150.30/150.54 % Time Out Real
% 150.30/150.54
% 150.30/150.54 % ------ Statistics
% 150.30/150.54
% 150.30/150.54 % ------ General
% 150.30/150.54
% 150.30/150.54 % num_of_input_clauses: 1371
% 150.30/150.54 % num_of_input_neg_conjectures: 1
% 150.30/150.54 % num_of_splits: 0
% 150.30/150.54 % num_of_split_atoms: 0
% 150.30/150.54 % num_of_sem_filtered_clauses: 0
% 150.30/150.54 % num_of_subtypes: 0
% 150.30/150.54 % monotx_restored_types: 0
% 150.30/150.54 % sat_num_of_epr_types: 0
% 150.30/150.54 % sat_num_of_non_cyclic_types: 0
% 150.30/150.54 % sat_guarded_non_collapsed_types: 0
% 150.30/150.54 % is_epr: 0
% 150.30/150.54 % is_horn: 0
% 150.30/150.54 % has_eq: 1
% 150.30/150.54 % num_pure_diseq_elim: 0
% 150.30/150.54 % simp_replaced_by: 0
% 150.30/150.54 % res_preprocessed: 2
% 150.30/150.54 % prep_upred: 0
% 150.30/150.54 % prep_unflattend: 0
% 150.30/150.54 % pred_elim_cands: 0
% 150.30/150.54 % pred_elim: 0
% 150.30/150.54 % pred_elim_cl: 0
% 150.30/150.54 % pred_elim_cycles: 0
% 150.30/150.54 % forced_gc_time: 0
% 150.30/150.54 % gc_basic_clause_elim: 0
% 150.30/150.54 % parsing_time: 0.073
% 150.30/150.54 % sem_filter_time: 0.
% 150.30/150.54 % pred_elim_time: 0.
% 150.30/150.54 % out_proof_time: 0.
% 150.30/150.54 % monotx_time: 0.
% 150.30/150.54 % subtype_inf_time: 0.
% 150.30/150.54 % unif_index_cands_time: 0.
% 150.30/150.54 % unif_index_add_time: 0.
% 150.30/150.54 % total_time: 150.021
% 150.30/150.54 % num_of_symbols: 120
% 150.30/150.54 % num_of_terms: 3933
% 150.30/150.54
% 150.30/150.54 % ------ Propositional Solver
% 150.30/150.54
% 150.30/150.54 % prop_solver_calls: 1
% 150.30/150.54 % prop_fast_solver_calls: 3
% 150.30/150.54 % prop_num_of_clauses: 1147
% 150.30/150.54 % prop_preprocess_simplified: 4267
% 150.30/150.54 % prop_fo_subsumed: 0
% 150.30/150.54 % prop_solver_time: 0.
% 150.30/150.54 % prop_fast_solver_time: 0.
% 150.30/150.54 % prop_unsat_core_time: 0.
% 150.30/150.54
% 150.30/150.54 % ------ QBF
% 150.30/150.54
% 150.30/150.54 % qbf_q_res: 0
% 150.30/150.54 % qbf_num_tautologies: 0
% 150.30/150.54 % qbf_prep_cycles: 0
% 150.30/150.54
% 150.30/150.54 % ------ BMC1
% 150.30/150.54
% 150.30/150.54 % bmc1_current_bound: -1
% 150.30/150.54 % bmc1_last_solved_bound: -1
% 150.30/150.54 % bmc1_unsat_core_size: -1
% 150.30/150.54 % bmc1_unsat_core_parents_size: -1
% 150.30/150.54 % bmc1_merge_next_fun: 0
% 150.30/150.54 % bmc1_unsat_core_clauses_time: 0.
% 150.30/150.54
% 150.30/150.54 % ------ Instantiation
% 150.30/150.54
% 150.30/150.54 % inst_num_of_clauses: 1190
% 150.30/150.54 % inst_num_in_passive: 0
% 150.30/150.54 % inst_num_in_active: 0
% 150.30/150.54 % inst_num_in_unprocessed: 1371
% 150.30/150.54 % inst_num_of_loops: 0
% 150.30/150.54 % inst_num_of_learning_restarts: 0
% 150.30/150.54 % inst_num_moves_active_passive: 0
% 150.30/150.54 % inst_lit_activity: 0
% 150.30/150.54 % inst_lit_activity_moves: 0
% 150.30/150.54 % inst_num_tautologies: 0
% 150.30/150.54 % inst_num_prop_implied: 0
% 150.30/150.54 % inst_num_existing_simplified: 0
% 150.30/150.54 % inst_num_eq_res_simplified: 0
% 150.30/150.54 % inst_num_child_elim: 0
% 150.30/150.54 % inst_num_of_dismatching_blockings: 0
% 150.30/150.54 % inst_num_of_non_proper_insts: 0
% 150.30/150.54 % inst_num_of_duplicates: 0
% 150.30/150.54 % inst_inst_num_from_inst_to_res: 0
% 150.30/150.54 % inst_dismatching_checking_time: 0.
% 150.30/150.54
% 150.30/150.54 % ------ Resolution
% 150.30/150.54
% 150.30/150.54 % res_num_of_clauses: 1193
% 150.30/150.54 % res_num_in_passive: 0
% 150.30/150.54 % res_num_in_active: 450
% 150.30/150.54 % res_num_of_loops: 0
% 150.30/150.54 % res_forward_subset_subsumed: 769
% 150.30/150.54 % res_backward_subset_subsumed: 2
% 150.30/150.54 % res_forward_subsumed: 0
% 150.30/150.54 % res_backward_subsumed: 0
% 150.30/150.54 % res_forward_subsumption_resolution: 0
% 150.30/150.54 % res_backward_subsumption_resolution: 0
% 150.30/150.54 % res_clause_to_clause_subsumption: 0
% 150.30/150.54 % res_orphan_elimination: 0
% 150.30/150.54 % res_tautology_del: 0
% 150.30/150.54 % res_num_eq_res_simplified: 0
% 150.30/150.54 % res_num_sel_changes: 0
% 150.30/150.54 % res_moves_from_active_to_pass: 0
% 150.30/150.54
% 150.30/150.54 % Status Unknown
% 150.46/150.68 % Orienting using strategy ClausalAll
% 150.46/150.68 % Orientation found
% 150.46/150.68 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_8629a0.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_c4a616.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_ab8d2a | grep -v "SZS"
% 150.46/150.69
% 150.46/150.69 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.46/150.69
% 150.46/150.69 %
% 150.46/150.69 % ------ iProver source info
% 150.46/150.69
% 150.46/150.69 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.46/150.69 % git: non_committed_changes: true
% 150.46/150.69 % git: last_make_outside_of_git: true
% 150.46/150.69
% 150.46/150.69 %
% 150.46/150.69 % ------ Input Options
% 150.46/150.69
% 150.46/150.69 % --out_options all
% 150.46/150.69 % --tptp_safe_out true
% 150.46/150.69 % --problem_path ""
% 150.46/150.69 % --include_path ""
% 150.46/150.69 % --clausifier .//eprover
% 150.46/150.69 % --clausifier_options --tstp-format
% 150.46/150.69 % --stdin false
% 150.46/150.69 % --dbg_backtrace false
% 150.46/150.69 % --dbg_dump_prop_clauses false
% 150.46/150.69 % --dbg_dump_prop_clauses_file -
% 150.46/150.69 % --dbg_out_stat false
% 150.46/150.69
% 150.46/150.69 % ------ General Options
% 150.46/150.69
% 150.46/150.69 % --fof false
% 150.46/150.69 % --time_out_real 150.
% 150.46/150.69 % --time_out_prep_mult 0.2
% 150.46/150.69 % --time_out_virtual -1.
% 150.46/150.69 % --schedule none
% 150.46/150.69 % --ground_splitting input
% 150.46/150.69 % --splitting_nvd 16
% 150.46/150.69 % --non_eq_to_eq false
% 150.46/150.69 % --prep_gs_sim true
% 150.46/150.69 % --prep_unflatten false
% 150.46/150.69 % --prep_res_sim true
% 150.46/150.69 % --prep_upred true
% 150.46/150.69 % --res_sim_input true
% 150.46/150.69 % --clause_weak_htbl true
% 150.46/150.69 % --gc_record_bc_elim false
% 150.46/150.69 % --symbol_type_check false
% 150.46/150.69 % --clausify_out false
% 150.46/150.69 % --large_theory_mode false
% 150.46/150.69 % --prep_sem_filter none
% 150.46/150.69 % --prep_sem_filter_out false
% 150.46/150.69 % --preprocessed_out false
% 150.46/150.69 % --sub_typing false
% 150.46/150.69 % --brand_transform false
% 150.46/150.69 % --pure_diseq_elim true
% 150.46/150.69 % --min_unsat_core false
% 150.46/150.69 % --pred_elim true
% 150.46/150.69 % --add_important_lit false
% 150.46/150.69 % --soft_assumptions false
% 150.46/150.69 % --reset_solvers false
% 150.46/150.69 % --bc_imp_inh []
% 150.46/150.69 % --conj_cone_tolerance 1.5
% 150.46/150.69 % --prolific_symb_bound 500
% 150.46/150.69 % --lt_threshold 2000
% 150.46/150.69
% 150.46/150.69 % ------ SAT Options
% 150.46/150.69
% 150.46/150.69 % --sat_mode false
% 150.46/150.69 % --sat_fm_restart_options ""
% 150.46/150.69 % --sat_gr_def false
% 150.46/150.69 % --sat_epr_types true
% 150.46/150.69 % --sat_non_cyclic_types false
% 150.46/150.69 % --sat_finite_models false
% 150.46/150.69 % --sat_fm_lemmas false
% 150.46/150.69 % --sat_fm_prep false
% 150.46/150.69 % --sat_fm_uc_incr true
% 150.46/150.69 % --sat_out_model small
% 150.46/150.69 % --sat_out_clauses false
% 150.46/150.69
% 150.46/150.69 % ------ QBF Options
% 150.46/150.69
% 150.46/150.69 % --qbf_mode false
% 150.46/150.69 % --qbf_elim_univ true
% 150.46/150.69 % --qbf_sk_in true
% 150.46/150.69 % --qbf_pred_elim true
% 150.46/150.69 % --qbf_split 32
% 150.46/150.69
% 150.46/150.69 % ------ BMC1 Options
% 150.46/150.69
% 150.46/150.69 % --bmc1_incremental false
% 150.46/150.69 % --bmc1_axioms reachable_all
% 150.46/150.69 % --bmc1_min_bound 0
% 150.46/150.69 % --bmc1_max_bound -1
% 150.46/150.69 % --bmc1_max_bound_default -1
% 150.46/150.69 % --bmc1_symbol_reachability true
% 150.46/150.69 % --bmc1_property_lemmas false
% 150.46/150.69 % --bmc1_k_induction false
% 150.46/150.69 % --bmc1_non_equiv_states false
% 150.46/150.69 % --bmc1_deadlock false
% 150.46/150.69 % --bmc1_ucm false
% 150.46/150.69 % --bmc1_add_unsat_core none
% 150.46/150.69 % --bmc1_unsat_core_children false
% 150.46/150.69 % --bmc1_unsat_core_extrapolate_axioms false
% 150.46/150.69 % --bmc1_out_stat full
% 150.46/150.69 % --bmc1_ground_init false
% 150.46/150.69 % --bmc1_pre_inst_next_state false
% 150.46/150.69 % --bmc1_pre_inst_state false
% 150.46/150.69 % --bmc1_pre_inst_reach_state false
% 150.46/150.69 % --bmc1_out_unsat_core false
% 150.46/150.69 % --bmc1_aig_witness_out false
% 150.46/150.69 % --bmc1_verbose false
% 150.46/150.69 % --bmc1_dump_clauses_tptp false
% 153.20/153.41 % --bmc1_dump_unsat_core_tptp false
% 153.20/153.41 % --bmc1_dump_file -
% 153.20/153.41 % --bmc1_ucm_expand_uc_limit 128
% 153.20/153.41 % --bmc1_ucm_n_expand_iterations 6
% 153.20/153.41 % --bmc1_ucm_extend_mode 1
% 153.20/153.41 % --bmc1_ucm_init_mode 2
% 153.20/153.41 % --bmc1_ucm_cone_mode none
% 153.20/153.41 % --bmc1_ucm_reduced_relation_type 0
% 153.20/153.41 % --bmc1_ucm_relax_model 4
% 153.20/153.41 % --bmc1_ucm_full_tr_after_sat true
% 153.20/153.41 % --bmc1_ucm_expand_neg_assumptions false
% 153.20/153.41 % --bmc1_ucm_layered_model none
% 153.20/153.41 % --bmc1_ucm_max_lemma_size 10
% 153.20/153.41
% 153.20/153.41 % ------ AIG Options
% 153.20/153.41
% 153.20/153.41 % --aig_mode false
% 153.20/153.41
% 153.20/153.41 % ------ Instantiation Options
% 153.20/153.41
% 153.20/153.41 % --instantiation_flag true
% 153.20/153.41 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 153.20/153.41 % --inst_solver_per_active 750
% 153.20/153.41 % --inst_solver_calls_frac 0.5
% 153.20/153.41 % --inst_passive_queue_type priority_queues
% 153.20/153.41 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 153.20/153.41 % --inst_passive_queues_freq [25;2]
% 153.20/153.41 % --inst_dismatching true
% 153.20/153.41 % --inst_eager_unprocessed_to_passive true
% 153.20/153.41 % --inst_prop_sim_given true
% 153.20/153.41 % --inst_prop_sim_new false
% 153.20/153.41 % --inst_orphan_elimination true
% 153.20/153.41 % --inst_learning_loop_flag true
% 153.20/153.41 % --inst_learning_start 3000
% 153.20/153.41 % --inst_learning_factor 2
% 153.20/153.41 % --inst_start_prop_sim_after_learn 3
% 153.20/153.41 % --inst_sel_renew solver
% 153.20/153.41 % --inst_lit_activity_flag true
% 153.20/153.41 % --inst_out_proof true
% 153.20/153.41
% 153.20/153.41 % ------ Resolution Options
% 153.20/153.41
% 153.20/153.41 % --resolution_flag true
% 153.20/153.41 % --res_lit_sel kbo_max
% 153.20/153.41 % --res_to_prop_solver none
% 153.20/153.41 % --res_prop_simpl_new false
% 153.20/153.41 % --res_prop_simpl_given false
% 153.20/153.41 % --res_passive_queue_type priority_queues
% 153.20/153.41 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 153.20/153.41 % --res_passive_queues_freq [15;5]
% 153.20/153.41 % --res_forward_subs full
% 153.20/153.41 % --res_backward_subs full
% 153.20/153.41 % --res_forward_subs_resolution true
% 153.20/153.41 % --res_backward_subs_resolution true
% 153.20/153.41 % --res_orphan_elimination false
% 153.20/153.41 % --res_time_limit 1000.
% 153.20/153.41 % --res_out_proof true
% 153.20/153.41 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_8629a0.s
% 153.20/153.41 % --modulo true
% 153.20/153.41
% 153.20/153.41 % ------ Combination Options
% 153.20/153.41
% 153.20/153.41 % --comb_res_mult 1000
% 153.20/153.41 % --comb_inst_mult 300
% 153.20/153.41 % ------
% 153.20/153.41
% 153.20/153.41 % ------ Parsing...% successful
% 153.20/153.41
% 153.20/153.41 % ------ 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 %
% 153.20/153.41
% 153.20/153.41 % ------ Proving...
% 153.20/153.41 % ------ Problem Properties
% 153.20/153.41
% 153.20/153.41 %
% 153.20/153.41 % EPR false
% 153.20/153.41 % Horn false
% 153.20/153.41 % Has equality true
% 153.20/153.41
% 153.20/153.41 % % ------ Input Options Time Limit: Unbounded
% 153.20/153.41
% 153.20/153.41
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 Compiling...
% 153.20/153.41 Loading plugin: done.
% 153.20/153.41 % % ------ Current options:
% 153.20/153.41
% 153.20/153.41 % ------ Input Options
% 153.20/153.41
% 153.20/153.41 % --out_options all
% 153.20/153.41 % --tptp_safe_out true
% 153.20/153.41 % --problem_path ""
% 153.20/153.41 % --include_path ""
% 153.20/153.41 % --clausifier .//eprover
% 153.20/153.41 % --clausifier_options --tstp-format
% 153.20/153.41 % --stdin false
% 153.20/153.41 % --dbg_backtrace false
% 153.20/153.41 % --dbg_dump_prop_clauses false
% 153.20/153.41 % --dbg_dump_prop_clauses_file -
% 153.20/153.41 % --dbg_out_stat false
% 153.20/153.41
% 153.20/153.41 % ------ General Options
% 153.20/153.41
% 153.20/153.41 % --fof false
% 153.20/153.41 % --time_out_real 150.
% 153.20/153.41 % --time_out_prep_mult 0.2
% 153.20/153.41 % --time_out_virtual -1.
% 153.20/153.41 % --schedule none
% 153.20/153.41 % --ground_splitting input
% 153.20/153.41 % --splitting_nvd 16
% 153.20/153.41 % --non_eq_to_eq false
% 153.20/153.41 % --prep_gs_sim true
% 153.20/153.41 % --prep_unflatten false
% 153.20/153.41 % --prep_res_sim true
% 153.20/153.41 % --prep_upred true
% 153.20/153.41 % --res_sim_input true
% 153.20/153.41 % --clause_weak_htbl true
% 153.20/153.41 % --gc_record_bc_elim false
% 153.20/153.41 % --symbol_type_check false
% 153.20/153.41 % --clausify_out false
% 153.20/153.41 % --large_theory_mode false
% 153.20/153.41 % --prep_sem_filter none
% 153.20/153.41 % --prep_sem_filter_out false
% 153.20/153.41 % --preprocessed_out false
% 153.20/153.41 % --sub_typing false
% 153.20/153.41 % --brand_transform false
% 153.20/153.41 % --pure_diseq_elim true
% 153.20/153.41 % --min_unsat_core false
% 153.20/153.41 % --pred_elim true
% 153.20/153.41 % --add_important_lit false
% 153.20/153.41 % --soft_assumptions false
% 153.20/153.41 % --reset_solvers false
% 153.20/153.41 % --bc_imp_inh []
% 153.20/153.41 % --conj_cone_tolerance 1.5
% 153.20/153.41 % --prolific_symb_bound 500
% 153.20/153.41 % --lt_threshold 2000
% 153.20/153.41
% 153.20/153.41 % ------ SAT Options
% 153.20/153.41
% 153.20/153.41 % --sat_mode false
% 153.20/153.41 % --sat_fm_restart_options ""
% 153.20/153.41 % --sat_gr_def false
% 153.20/153.41 % --sat_epr_types true
% 153.20/153.41 % --sat_non_cyclic_types false
% 153.20/153.41 % --sat_finite_models false
% 153.20/153.41 % --sat_fm_lemmas false
% 153.20/153.41 % --sat_fm_prep false
% 153.20/153.41 % --sat_fm_uc_incr true
% 153.20/153.41 % --sat_out_model small
% 153.20/153.41 % --sat_out_clauses false
% 153.20/153.41
% 153.20/153.41 % ------ QBF Options
% 153.20/153.41
% 153.20/153.41 % --qbf_mode false
% 153.20/153.41 % --qbf_elim_univ true
% 153.20/153.41 % --qbf_sk_in true
% 153.20/153.41 % --qbf_pred_elim true
% 153.20/153.41 % --qbf_split 32
% 153.20/153.41
% 153.20/153.41 % ------ BMC1 Options
% 153.20/153.41
% 153.20/153.41 % --bmc1_incremental false
% 153.20/153.41 % --bmc1_axioms reachable_all
% 153.20/153.41 % --bmc1_min_bound 0
% 153.20/153.41 % --bmc1_max_bound -1
% 153.20/153.41 % --bmc1_max_bound_default -1
% 153.20/153.41 % --bmc1_symbol_reachability true
% 153.20/153.41 % --bmc1_property_lemmas false
% 153.20/153.41 % --bmc1_k_induction false
% 153.20/153.41 % --bmc1_non_equiv_states false
% 153.20/153.41 % --bmc1_deadlock false
% 153.20/153.41 % --bmc1_ucm false
% 153.20/153.41 % --bmc1_add_unsat_core none
% 153.20/153.41 % --bmc1_unsat_core_children false
% 153.20/153.41 % --bmc1_unsat_core_extrapolate_axioms false
% 153.20/153.41 % --bmc1_out_stat full
% 153.20/153.41 % --bmc1_ground_init false
% 153.20/153.41 % --bmc1_pre_inst_next_state false
% 153.20/153.41 % --bmc1_pre_inst_state false
% 153.20/153.41 % --bmc1_pre_inst_reach_state false
% 153.20/153.41 % --bmc1_out_unsat_core false
% 153.20/153.41 % --bmc1_aig_witness_out false
% 153.20/153.41 % --bmc1_verbose false
% 153.20/153.41 % --bmc1_dump_clauses_tptp false
% 153.20/153.41 % --bmc1_dump_unsat_core_tptp false
% 153.20/153.41 % --bmc1_dump_file -
% 153.20/153.41 % --bmc1_ucm_expand_uc_limit 128
% 153.20/153.41 % --bmc1_ucm_n_expand_iterations 6
% 153.20/153.41 % --bmc1_ucm_extend_mode 1
% 153.20/153.41 % --bmc1_ucm_init_mode 2
% 153.20/153.41 % --bmc1_ucm_cone_mode none
% 153.20/153.41 % --bmc1_ucm_reduced_relation_type 0
% 153.20/153.41 % --bmc1_ucm_relax_model 4
% 153.20/153.41 % --bmc1_ucm_full_tr_after_sat true
% 153.20/153.41 % --bmc1_ucm_expand_neg_assumptions false
% 153.20/153.41 % --bmc1_ucm_layered_model none
% 153.20/153.41 % --bmc1_ucm_max_lemma_size 10
% 153.20/153.41
% 153.20/153.41 % ------ AIG Options
% 153.20/153.41
% 153.20/153.41 % --aig_mode false
% 153.20/153.41
% 153.20/153.41 % ------ Instantiation Options
% 153.20/153.41
% 153.20/153.41 % --instantiation_flag true
% 153.20/153.41 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 153.20/153.41 % --inst_solver_per_active 750
% 153.20/153.41 % --inst_solver_calls_frac 0.5
% 153.20/153.41 % --inst_passive_queue_type priority_queues
% 153.20/153.41 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 153.20/153.41 % --inst_passive_queues_freq [25;2]
% 153.20/153.41 % --inst_dismatching true
% 153.20/153.41 % --inst_eager_unprocessed_to_passive true
% 153.20/153.41 % --inst_prop_sim_given true
% 153.20/153.41 % --inst_prop_sim_new false
% 153.20/153.41 % --inst_orphan_elimination true
% 153.20/153.41 % --inst_learning_loop_flag true
% 153.20/153.41 % --inst_learning_start 3000
% 153.20/153.41 % --inst_learning_factor 2
% 153.20/153.41 % --inst_start_prop_sim_after_learn 3
% 153.20/153.41 % --inst_sel_renew solver
% 153.20/153.41 % --inst_lit_activity_flag true
% 153.20/153.41 % --inst_out_proof true
% 153.20/153.41
% 153.20/153.41 % ------ Resolution Options
% 153.20/153.41
% 153.20/153.41 % --resolution_flag true
% 153.20/153.41 % --res_lit_sel kbo_max
% 153.20/153.41 % --res_to_prop_solver none
% 153.20/153.41 % --res_prop_simpl_new false
% 153.20/153.41 % --res_prop_simpl_given false
% 153.20/153.41 % --res_passive_queue_type priority_queues
% 153.20/153.41 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 153.20/153.41 % --res_passive_queues_freq [15;5]
% 153.20/153.41 % --res_forward_subs full
% 153.20/153.41 % --res_backward_subs full
% 153.20/153.41 % --res_forward_subs_resolution true
% 153.20/153.41 % --res_backward_subs_resolution true
% 153.20/153.41 % --res_orphan_elimination false
% 153.20/153.41 % --res_time_limit 1000.
% 153.20/153.41 % --res_out_proof true
% 153.20/153.41 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_8629a0.s
% 153.20/153.41 % --modulo true
% 153.20/153.41
% 153.20/153.41 % ------ Combination Options
% 153.20/153.41
% 153.20/153.41 % --comb_res_mult 1000
% 153.20/153.41 % --comb_inst_mult 300
% 153.20/153.41 % ------
% 153.20/153.41
% 153.20/153.41
% 153.20/153.41
% 153.20/153.41 % ------ Proving...
% 153.20/153.41 % warning: shown sat in sat incomplete mode
% 153.20/153.41 %
% 153.20/153.41
% 153.20/153.41
% 153.20/153.41
% 153.20/153.41
% 153.20/153.41 cnf(c_1366,plain,
% 153.20/153.41 ( c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X0,X1,X2,X3),X0,tc_Type_Otype,tc_Type_Otype) = X1
% 153.20/153.41 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.20/153.41 | ~ c_Type_Otypings(X2,X5,X6)
% 153.20/153.41 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2424_3) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5800,plain,
% 153.20/153.41 ( c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X0,X1,X2,X3),X0,tc_Type_Otype,tc_Type_Otype) = X1
% 153.20/153.41 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.20/153.41 | ~ c_Type_Otypings(X2,X5,X6)
% 153.20/153.41 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1366]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5801,plain,
% 153.20/153.41 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.20/153.41 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
% 153.20/153.41 | ~ c_Type_Otypings(X0,X2,X6)
% 153.20/153.41 | c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X3,X0,X4),X5,tc_Type_Otype,tc_Type_Otype) = X3 ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5800]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1362,plain,
% 153.20/153.41 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 153.20/153.41 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2)
% 153.20/153.41 | ~ c_Type_Otypings(X0,X5,X6)
% 153.20/153.41 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2425_3) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5792,plain,
% 153.20/153.41 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 153.20/153.41 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2)
% 153.20/153.41 | ~ c_Type_Otypings(X0,X5,X6)
% 153.20/153.41 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1362]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5793,plain,
% 153.20/153.41 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.20/153.41 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
% 153.20/153.41 | c_Type_Otypings(X0,X4,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X3,X0,X4))
% 153.20/153.41 | ~ c_Type_Otypings(X0,X2,X6) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5792]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1275,plain,
% 153.20/153.41 ( X0 = X1
% 153.20/153.41 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.20/153.41 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2469_2) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5618,plain,
% 153.20/153.41 ( X0 = X1
% 153.20/153.41 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.20/153.41 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1275]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5619,plain,
% 153.20/153.41 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.20/153.41 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.20/153.41 | X3 = X4 ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5618]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1200,plain,
% 153.20/153.41 ( c_Type_Otyping(X0,c_Lambda_Osubst(X1,X2,X3),X4)
% 153.20/153.41 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 153.20/153.41 | ~ c_Type_Otyping(X0,X2,X5) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2520_2) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5468,plain,
% 153.20/153.41 ( c_Type_Otyping(X0,c_Lambda_Osubst(X1,X2,X3),X4)
% 153.20/153.41 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 153.20/153.41 | ~ c_Type_Otyping(X0,X2,X5) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1200]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5469,plain,
% 153.20/153.41 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 153.20/153.41 | c_Type_Otyping(X0,c_Lambda_Osubst(X3,X5,X1),X4)
% 153.20/153.41 | ~ c_Type_Otyping(X0,X5,X2) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5468]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1197,plain,
% 153.20/153.41 ( ~ c_Type_Otyping(X0,X1,X2)
% 153.20/153.41 | ~ c_InductTermi_OIT(X1)
% 153.20/153.41 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X1,X4))
% 153.20/153.41 | ~ c_InductTermi_OIT(X3)
% 153.20/153.41 | ~ c_Type_Otyping(c_Type_Oshift(X0,X4,X2,tc_Type_Otype),X3,X5) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2521_2) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5462,plain,
% 153.20/153.41 ( ~ c_Type_Otyping(X0,X1,X2)
% 153.20/153.41 | ~ c_InductTermi_OIT(X1)
% 153.20/153.41 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X1,X4))
% 153.20/153.41 | ~ c_InductTermi_OIT(X3)
% 153.20/153.41 | ~ c_Type_Otyping(c_Type_Oshift(X0,X4,X2,tc_Type_Otype),X3,X5) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1197]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5463,plain,
% 153.20/153.41 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 153.20/153.41 | ~ c_InductTermi_OIT(X1)
% 153.20/153.41 | ~ c_InductTermi_OIT(X0)
% 153.20/153.41 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.20/153.41 | ~ c_Type_Otyping(X3,X1,X4) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5462]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1195,plain,
% 153.20/153.41 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 153.20/153.41 | ~ c_InductTermi_OIT(X0)
% 153.20/153.41 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.20/153.41 | ~ c_InductTermi_OIT(X1)
% 153.20/153.41 | ~ c_Type_Otyping(X3,X1,X4) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2521_4) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5458,plain,
% 153.20/153.41 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 153.20/153.41 | ~ c_InductTermi_OIT(X0)
% 153.20/153.41 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.20/153.41 | ~ c_InductTermi_OIT(X1)
% 153.20/153.41 | ~ c_Type_Otyping(X3,X1,X4) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1195]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5459,plain,
% 153.20/153.41 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 153.20/153.41 | ~ c_InductTermi_OIT(X0)
% 153.20/153.41 | ~ c_InductTermi_OIT(X1)
% 153.20/153.41 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.20/153.41 | ~ c_Type_Otyping(X3,X1,X4) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5458]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1177,plain,
% 153.20/153.41 ( ~ 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)
% 153.20/153.41 | ~ c_lessequals(X1,X2,tc_nat)
% 153.20/153.41 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2532_1) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5422,plain,
% 153.20/153.41 ( ~ 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)
% 153.20/153.41 | ~ c_lessequals(X1,X2,tc_nat)
% 153.20/153.41 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1177]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5423,plain,
% 153.20/153.41 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X0,X2,tc_nat)
% 153.20/153.41 | ~ 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)
% 153.20/153.41 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5422]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1175,plain,
% 153.20/153.41 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X2,X0,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X2,X1,tc_nat)
% 153.20/153.41 | ~ 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) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2532_3) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5418,plain,
% 153.20/153.41 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X2,X0,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X2,X1,tc_nat)
% 153.20/153.41 | ~ 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) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1175]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5419,plain,
% 153.20/153.41 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X0,X2,tc_nat)
% 153.20/153.41 | ~ 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)
% 153.20/153.41 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5418]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1156,plain,
% 153.20/153.41 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.20/153.41 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2538_4) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5380,plain,
% 153.20/153.41 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.20/153.41 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1156]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5381,plain,
% 153.20/153.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.20/153.41 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5380]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1150,plain,
% 153.20/153.41 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X2,X1,tc_nat)
% 153.20/153.41 | 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)
% 153.20/153.41 | ~ c_lessequals(X2,X0,tc_nat) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2541_1) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5368,plain,
% 153.20/153.41 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X2,X1,tc_nat)
% 153.20/153.41 | 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)
% 153.20/153.41 | ~ c_lessequals(X2,X0,tc_nat) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1150]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5369,plain,
% 153.20/153.41 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X0,X2,tc_nat)
% 153.20/153.41 | 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)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5368]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1148,plain,
% 153.20/153.41 ( 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)
% 153.20/153.41 | ~ c_lessequals(X1,X0,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X1,X2,tc_nat)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2541_3) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5364,plain,
% 153.20/153.41 ( 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)
% 153.20/153.41 | ~ c_lessequals(X1,X0,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X1,X2,tc_nat)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1148]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5365,plain,
% 153.20/153.41 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X0,X2,tc_nat)
% 153.20/153.41 | 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)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5364]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1139,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.20/153.41 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.41 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 153.20/153.41 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2546_0) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5346,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.20/153.41 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.41 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 153.20/153.41 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1139]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5347,plain,
% 153.20/153.41 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.20/153.41 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 153.20/153.41 | ~ c_lessequals(X3,X4,X1)
% 153.20/153.41 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5346]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1130,plain,
% 153.20/153.41 ( 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)
% 153.20/153.41 | ~ c_lessequals(X1,X0,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X1,X2,tc_nat) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2551_2) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5328,plain,
% 153.20/153.41 ( 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)
% 153.20/153.41 | ~ c_lessequals(X1,X0,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X1,X2,tc_nat) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1130]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5329,plain,
% 153.20/153.41 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X0,X2,tc_nat)
% 153.20/153.41 | 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) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5328]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1123,plain,
% 153.20/153.41 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X1,X2,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2554_2) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5314,plain,
% 153.20/153.41 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X1,X2,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1123]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5315,plain,
% 153.20/153.41 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 153.20/153.41 | ~ c_lessequals(X1,X2,tc_nat) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5314]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1106,plain,
% 153.20/153.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.41 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 153.20/153.41 | X1 = X3
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2560_1) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5280,plain,
% 153.20/153.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.41 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 153.20/153.41 | X1 = X3
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1106]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5281,plain,
% 153.20/153.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 153.20/153.41 | c_Power_Opower__class_Opower(X2,X3,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 153.20/153.41 | X2 = X1 ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5280]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1102,plain,
% 153.20/153.41 ( X0 = X1
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 153.20/153.41 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 153.20/153.41 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2560_5) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5272,plain,
% 153.20/153.41 ( X0 = X1
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 153.20/153.41 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 153.20/153.41 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1102]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5273,plain,
% 153.20/153.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 153.20/153.41 | c_Power_Opower__class_Opower(X1,X3,X0) != c_Power_Opower__class_Opower(X2,X3,X0)
% 153.20/153.41 | X1 = X2 ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5272]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1088,plain,
% 153.20/153.41 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.20/153.41 | ~ c_lessequals(X1,X3,X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.20/153.41 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2564_3) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5244,plain,
% 153.20/153.41 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.20/153.41 | ~ c_lessequals(X1,X3,X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.20/153.41 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1088]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5245,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.20/153.41 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.41 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4),X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5244]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1086,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.41 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2565_1) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5240,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.41 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1086]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5241,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.20/153.41 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5240]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1082,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 153.20/153.41 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.41 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 153.20/153.41 | ~ c_lessequals(X3,X4,X0) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2566_1) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5232,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 153.20/153.41 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.41 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 153.20/153.41 | ~ c_lessequals(X3,X4,X0) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1082]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5233,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 153.20/153.41 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.20/153.41 | ~ c_lessequals(X2,X4,X0)
% 153.20/153.41 | ~ c_lessequals(X1,X3,X0) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5232]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1073,plain,
% 153.20/153.41 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.41 | 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)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2569_1) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5214,plain,
% 153.20/153.41 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.41 | 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)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1073]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5215,plain,
% 153.20/153.41 ( 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)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5214]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1051,plain,
% 153.20/153.41 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.41 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2579_1) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5170,plain,
% 153.20/153.41 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.41 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1051]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5171,plain,
% 153.20/153.41 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5170]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1048,plain,
% 153.20/153.41 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.41 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 153.20/153.41 | ~ c_lessequals(X2,X3,tc_nat) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2580_1) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5164,plain,
% 153.20/153.41 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.41 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 153.20/153.41 | ~ c_lessequals(X2,X3,tc_nat) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1048]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5165,plain,
% 153.20/153.41 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 153.20/153.41 | ~ c_lessequals(X1,X3,tc_nat)
% 153.20/153.41 | ~ c_lessequals(X0,X2,tc_nat) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5164]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1045,plain,
% 153.20/153.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.41 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 153.20/153.41 | X1 = X3
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2581_1) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5158,plain,
% 153.20/153.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.41 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 153.20/153.41 | X1 = X3
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1045]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5159,plain,
% 153.20/153.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.41 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 153.20/153.41 | X2 = X1 ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5158]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1042,plain,
% 153.20/153.41 ( X0 = X1
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.20/153.41 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 153.20/153.41 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2581_4) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5152,plain,
% 153.20/153.41 ( X0 = X1
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.20/153.41 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 153.20/153.41 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1042]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5153,plain,
% 153.20/153.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.41 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 153.20/153.41 | X1 = X2 ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5152]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1013,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2595_1) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5094,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1013]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5095,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.41 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5094]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_1009,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2596_1) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5086,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_1009]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5087,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5086]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_999,plain,
% 153.20/153.41 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2598_3) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5066,plain,
% 153.20/153.41 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_999]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5067,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5066]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_991,plain,
% 153.20/153.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.41 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.41 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2600_3) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5050,plain,
% 153.20/153.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.41 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.41 inference(copy,[status(esa)],[c_991]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_5051,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.20/153.41 inference(rewriting,[status(thm)],[c_5050]) ).
% 153.20/153.41
% 153.20/153.41 cnf(c_989,plain,
% 153.20/153.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.41 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2601_1) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_5046,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_989]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_5047,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_5046]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_985,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2602_1) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_5038,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_985]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_5039,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_5038]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_978,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 153.20/153.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2604_4) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_5024,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 153.20/153.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_978]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_5025,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.20/153.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_5024]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_973,plain,
% 153.20/153.42 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 153.20/153.42 | ~ c_lessequals(X0,X2,X1)
% 153.20/153.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2605_4) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_5014,plain,
% 153.20/153.42 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 153.20/153.42 | ~ c_lessequals(X0,X2,X1)
% 153.20/153.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_973]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_5015,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.20/153.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 153.20/153.42 | ~ c_lessequals(X2,X3,X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_5014]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_968,plain,
% 153.20/153.42 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.20/153.42 | ~ c_lessequals(X0,X3,X1)
% 153.20/153.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2606_4) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_5004,plain,
% 153.20/153.42 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.20/153.42 | ~ c_lessequals(X0,X3,X1)
% 153.20/153.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_968]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_5005,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.20/153.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.42 | ~ c_lessequals(X2,X3,X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_5004]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_935,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2616_3) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4938,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_935]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4939,plain,
% 153.20/153.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4938]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_918,plain,
% 153.20/153.42 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.42 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.42 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 153.20/153.42 | ~ c_lessequals(X3,X2,X0) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2622_1) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4904,plain,
% 153.20/153.42 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.42 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.42 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 153.20/153.42 | ~ c_lessequals(X3,X2,X0) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_918]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4905,plain,
% 153.20/153.42 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.42 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 153.20/153.42 | ~ c_lessequals(X2,X3,X0)
% 153.20/153.42 | ~ c_lessequals(X1,X3,X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4904]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_914,plain,
% 153.20/153.42 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2623_1) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4896,plain,
% 153.20/153.42 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_914]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4897,plain,
% 153.20/153.42 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4896]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_906,plain,
% 153.20/153.42 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 153.20/153.42 | ~ c_lessequals(X1,X2,tc_nat)
% 153.20/153.42 | X0 = X2
% 153.20/153.42 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2626_1) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4880,plain,
% 153.20/153.42 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 153.20/153.42 | ~ c_lessequals(X1,X2,tc_nat)
% 153.20/153.42 | X0 = X2
% 153.20/153.42 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_906]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4881,plain,
% 153.20/153.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.42 | ~ c_lessequals(X0,X2,tc_nat)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 153.20/153.42 | X2 = X1 ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4880]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_904,plain,
% 153.20/153.42 ( X0 = X1
% 153.20/153.42 | ~ c_lessequals(X2,X0,tc_nat)
% 153.20/153.42 | ~ c_lessequals(X2,X1,tc_nat)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2626_3) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4876,plain,
% 153.20/153.42 ( X0 = X1
% 153.20/153.42 | ~ c_lessequals(X2,X0,tc_nat)
% 153.20/153.42 | ~ c_lessequals(X2,X1,tc_nat)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_904]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4877,plain,
% 153.20/153.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.42 | ~ c_lessequals(X0,X2,tc_nat)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 153.20/153.42 | X1 = X2 ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4876]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_901,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2627_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4870,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_901]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4871,plain,
% 153.20/153.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.20/153.42 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4870]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_894,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2631_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4856,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_894]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4857,plain,
% 153.20/153.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4856]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_891,plain,
% 153.20/153.42 ( c_lessequals(X0,X1,X2)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2632_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4850,plain,
% 153.20/153.42 ( c_lessequals(X0,X1,X2)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_891]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4851,plain,
% 153.20/153.42 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.20/153.42 | c_lessequals(X0,X1,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4850]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_888,plain,
% 153.20/153.42 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.20/153.42 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.20/153.42 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2633_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4844,plain,
% 153.20/153.42 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.20/153.42 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.20/153.42 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_888]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4845,plain,
% 153.20/153.42 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.42 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.42 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4844]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_885,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.20/153.42 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2634_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4838,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.20/153.42 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_885]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4839,plain,
% 153.20/153.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4838]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_882,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2635_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4832,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_882]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4833,plain,
% 153.20/153.42 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.42 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4832]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_879,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.20/153.42 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2636_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4826,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.20/153.42 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_879]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4827,plain,
% 153.20/153.42 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.42 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4826]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_876,plain,
% 153.20/153.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.20/153.42 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2637_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4820,plain,
% 153.20/153.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.20/153.42 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_876]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4821,plain,
% 153.20/153.42 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.20/153.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4820]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_875,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2638_0) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4818,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_875]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4819,plain,
% 153.20/153.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4818]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_872,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2638_3) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4812,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_872]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4813,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4812]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_871,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2639_0) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4810,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_871]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4811,plain,
% 153.20/153.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4810]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_868,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2639_3) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4804,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_868]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4805,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4804]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_867,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 153.20/153.42 | ~ c_lessequals(X4,X3,X0)
% 153.20/153.42 | c_lessequals(X2,X1,X0) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2640_0) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4802,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 153.20/153.42 | ~ c_lessequals(X4,X3,X0)
% 153.20/153.42 | c_lessequals(X2,X1,X0) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_867]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4803,plain,
% 153.20/153.42 ( ~ c_lessequals(X0,X1,X2)
% 153.20/153.42 | c_lessequals(X3,X4,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4802]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_864,plain,
% 153.20/153.42 ( c_lessequals(X0,X1,X2)
% 153.20/153.42 | ~ c_lessequals(X3,X4,X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2640_3) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4796,plain,
% 153.20/153.42 ( c_lessequals(X0,X1,X2)
% 153.20/153.42 | ~ c_lessequals(X3,X4,X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_864]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4797,plain,
% 153.20/153.42 ( c_lessequals(X0,X1,X2)
% 153.20/153.42 | ~ c_lessequals(X3,X4,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4796]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_863,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 153.20/153.42 | ~ c_lessequals(X2,X1,X0)
% 153.20/153.42 | c_lessequals(X4,X3,X0) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2641_0) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4794,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 153.20/153.42 | ~ c_lessequals(X2,X1,X0)
% 153.20/153.42 | c_lessequals(X4,X3,X0) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_863]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4795,plain,
% 153.20/153.42 ( ~ c_lessequals(X0,X1,X2)
% 153.20/153.42 | c_lessequals(X3,X4,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4794]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_860,plain,
% 153.20/153.42 ( c_lessequals(X0,X1,X2)
% 153.20/153.42 | ~ c_lessequals(X3,X4,X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2641_3) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4788,plain,
% 153.20/153.42 ( c_lessequals(X0,X1,X2)
% 153.20/153.42 | ~ c_lessequals(X3,X4,X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_860]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4789,plain,
% 153.20/153.42 ( c_lessequals(X0,X1,X2)
% 153.20/153.42 | ~ c_lessequals(X3,X4,X2)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4788]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_822,plain,
% 153.20/153.42 ( 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)
% 153.20/153.42 | ~ c_lessequals(X2,X0,tc_nat)
% 153.20/153.42 | ~ class_Ring__and__Field_Oring__1(X1) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2657_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4712,plain,
% 153.20/153.42 ( 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)
% 153.20/153.42 | ~ c_lessequals(X2,X0,tc_nat)
% 153.20/153.42 | ~ class_Ring__and__Field_Oring__1(X1) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_822]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4713,plain,
% 153.20/153.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.42 | ~ class_Ring__and__Field_Oring__1(X2)
% 153.20/153.42 | 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) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4712]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_818,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.42 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2663_1) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4704,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.42 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_818]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4705,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4704]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_815,plain,
% 153.20/153.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.20/153.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2663_4) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4698,plain,
% 153.20/153.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.20/153.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_815]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4699,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4698]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_813,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2664_1) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4694,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_813]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4695,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4694]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_810,plain,
% 153.20/153.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 153.20/153.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2664_4) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4688,plain,
% 153.20/153.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 153.20/153.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_810]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4689,plain,
% 153.20/153.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4688]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_805,plain,
% 153.20/153.42 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2668_0) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4678,plain,
% 153.20/153.42 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_805]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4679,plain,
% 153.20/153.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 153.20/153.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4678]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_718,plain,
% 153.20/153.42 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.20/153.42 | ~ c_lessequals(X3,X1,X0) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2707_1) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4504,plain,
% 153.20/153.42 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.20/153.42 | ~ c_lessequals(X3,X1,X0) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_718]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4505,plain,
% 153.20/153.42 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.42 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4504]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_716,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | ~ c_lessequals(X0,X3,X2)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.20/153.42 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2707_3) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4500,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | ~ c_lessequals(X0,X3,X2)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.20/153.42 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_716]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4501,plain,
% 153.20/153.42 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.42 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4500]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_710,plain,
% 153.20/153.42 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.42 | ~ c_lessequals(X2,X3,X0) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2709_1) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4488,plain,
% 153.20/153.42 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.42 | ~ c_lessequals(X2,X3,X0) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_710]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4489,plain,
% 153.20/153.42 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.42 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4488]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_708,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | ~ c_lessequals(X3,X1,X2)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.20/153.42 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2709_3) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4484,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | ~ c_lessequals(X3,X1,X2)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.20/153.42 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_708]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4485,plain,
% 153.20/153.42 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.42 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4484]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_684,plain,
% 153.20/153.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2716_1) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4436,plain,
% 153.20/153.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_684]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4437,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4436]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_648,plain,
% 153.20/153.42 ( c_lessequals(X0,X1,X2)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.42 | ~ c_lessequals(X1,X0,X2)
% 153.20/153.42 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2735_3) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4364,plain,
% 153.20/153.42 ( c_lessequals(X0,X1,X2)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.42 | ~ c_lessequals(X1,X0,X2)
% 153.20/153.42 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_648]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4365,plain,
% 153.20/153.42 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.42 | c_lessequals(X1,X2,X0)
% 153.20/153.42 | ~ c_lessequals(X2,X1,X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4364]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_636,plain,
% 153.20/153.42 ( hBOOL(hAPP(X0,X1))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0)))) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2740_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4340,plain,
% 153.20/153.42 ( hBOOL(hAPP(X0,X1))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0)))) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_636]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4341,plain,
% 153.20/153.42 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0))))
% 153.20/153.42 | hBOOL(hAPP(X0,X1)) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4340]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_633,plain,
% 153.20/153.42 ( hBOOL(hAPP(X0,X1))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0)))) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2741_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4334,plain,
% 153.20/153.42 ( hBOOL(hAPP(X0,X1))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0)))) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_633]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4335,plain,
% 153.20/153.42 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0))))
% 153.20/153.42 | hBOOL(hAPP(X0,X1)) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4334]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_631,plain,
% 153.20/153.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.20/153.42 | X2 = X1 ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2742_1) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4330,plain,
% 153.20/153.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.20/153.42 | X2 = X1 ),
% 153.20/153.42 inference(copy,[status(esa)],[c_631]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4331,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.20/153.42 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 153.20/153.42 | X1 = X0 ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4330]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_629,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | X0 = X1
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.20/153.42 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2742_3) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4326,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | X0 = X1
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.20/153.42 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_629]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4327,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.20/153.42 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 153.20/153.42 | X0 = X1 ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4326]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_573,plain,
% 153.20/153.42 ( X0 = X1
% 153.20/153.42 | ~ c_lessequals(X1,X0,tc_nat)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2761_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4214,plain,
% 153.20/153.42 ( X0 = X1
% 153.20/153.42 | ~ c_lessequals(X1,X0,tc_nat)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_573]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4215,plain,
% 153.20/153.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
% 153.20/153.42 | X1 = X0 ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4214]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_563,plain,
% 153.20/153.42 ( X0 = X1
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2765_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4194,plain,
% 153.20/153.42 ( X0 = X1
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_563]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4195,plain,
% 153.20/153.42 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.42 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.42 | X0 = X1 ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4194]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_547,plain,
% 153.20/153.42 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2772_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4162,plain,
% 153.20/153.42 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_547]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4163,plain,
% 153.20/153.42 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4162]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_540,plain,
% 153.20/153.42 ( ~ c_Lambda_Obeta(X0,X1)
% 153.20/153.42 | ~ c_Type_Otyping(X2,X0,X3)
% 153.20/153.42 | c_Type_Otyping(X2,X1,X3) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2776_0) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4148,plain,
% 153.20/153.42 ( ~ c_Lambda_Obeta(X0,X1)
% 153.20/153.42 | ~ c_Type_Otyping(X2,X0,X3)
% 153.20/153.42 | c_Type_Otyping(X2,X1,X3) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_540]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4149,plain,
% 153.20/153.42 ( ~ c_Type_Otyping(X0,X1,X2)
% 153.20/153.42 | c_Type_Otyping(X0,X3,X2)
% 153.20/153.42 | ~ c_Lambda_Obeta(X1,X3) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4148]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_531,plain,
% 153.20/153.42 ( hBOOL(hAPP(X0,X1))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0))) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2781_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4130,plain,
% 153.20/153.42 ( hBOOL(hAPP(X0,X1))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0))) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_531]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4131,plain,
% 153.20/153.42 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 153.20/153.42 | hBOOL(hAPP(X0,X1)) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4130]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_493,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 153.20/153.42 | hBOOL(hAPP(X0,X1))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2792_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4054,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 153.20/153.42 | hBOOL(hAPP(X0,X1))
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_493]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_4055,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 153.20/153.42 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.42 | hBOOL(hAPP(X0,X1)) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_4054]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_462,plain,
% 153.20/153.42 ( c_Suc(X0) = X1
% 153.20/153.42 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2804_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3992,plain,
% 153.20/153.42 ( c_Suc(X0) = X1
% 153.20/153.42 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_462]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3993,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.20/153.42 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | c_Suc(X0) = X1 ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_3992]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_395,plain,
% 153.20/153.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | ~ class_Power_Opower(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2839_5) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3858,plain,
% 153.20/153.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | ~ class_Power_Opower(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_395]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3859,plain,
% 153.20/153.42 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 153.20/153.42 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.20/153.42 | ~ class_Ring__and__Field_Omult__zero(X0)
% 153.20/153.42 | ~ class_Power_Opower(X0)
% 153.20/153.42 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_3858]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_390,plain,
% 153.20/153.42 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | ~ class_Power_Opower(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2840_4) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3848,plain,
% 153.20/153.42 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | ~ class_Power_Opower(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_390]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3849,plain,
% 153.20/153.42 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 153.20/153.42 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.20/153.42 | ~ class_Ring__and__Field_Omult__zero(X0)
% 153.20/153.42 | ~ class_Power_Opower(X0)
% 153.20/153.42 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_3848]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_389,plain,
% 153.20/153.42 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 153.20/153.42 | hBOOL(hAPP(X0,X3))
% 153.20/153.42 | hBOOL(hAPP(X0,X1)) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2841_0) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3846,plain,
% 153.20/153.42 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 153.20/153.42 | hBOOL(hAPP(X0,X3))
% 153.20/153.42 | hBOOL(hAPP(X0,X1)) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_389]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3847,plain,
% 153.20/153.42 ( hBOOL(hAPP(X0,X1))
% 153.20/153.42 | hBOOL(hAPP(X0,X2))
% 153.20/153.42 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_3846]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_386,plain,
% 153.20/153.42 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 153.20/153.42 | hBOOL(hAPP(X0,X3))
% 153.20/153.42 | hBOOL(hAPP(X0,X2)) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2842_0) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3840,plain,
% 153.20/153.42 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 153.20/153.42 | hBOOL(hAPP(X0,X3))
% 153.20/153.42 | hBOOL(hAPP(X0,X2)) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_386]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3841,plain,
% 153.20/153.42 ( hBOOL(hAPP(X0,X1))
% 153.20/153.42 | hBOOL(hAPP(X0,X2))
% 153.20/153.42 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X2) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_3840]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_381,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | X1 = X0
% 153.20/153.42 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2844_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3830,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | X1 = X0
% 153.20/153.42 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_381]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3831,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 153.20/153.42 | X1 = X0 ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_3830]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_378,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | X1 = X0
% 153.20/153.42 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2845_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3824,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | X1 = X0
% 153.20/153.42 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_378]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3825,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 153.20/153.42 | X1 = X0 ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_3824]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_360,plain,
% 153.20/153.42 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.42 | X2 = X1
% 153.20/153.42 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2850_1) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3788,plain,
% 153.20/153.42 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.42 | X2 = X1
% 153.20/153.42 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_360]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3789,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.42 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 153.20/153.42 | X1 = X0 ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_3788]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_358,plain,
% 153.20/153.42 ( X0 = X1
% 153.20/153.42 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.42 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2850_3) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3784,plain,
% 153.20/153.42 ( X0 = X1
% 153.20/153.42 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.42 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_358]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3785,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.42 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 153.20/153.42 | X0 = X1 ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_3784]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_311,plain,
% 153.20/153.42 ( X0 = X1
% 153.20/153.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2875_2) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3690,plain,
% 153.20/153.42 ( X0 = X1
% 153.20/153.42 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_311]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3691,plain,
% 153.20/153.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.42 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.20/153.42 | X0 = X1 ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_3690]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_271,plain,
% 153.20/153.42 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.42 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | ~ class_Power_Opower(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2888_5) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3610,plain,
% 153.20/153.42 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.42 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.42 | ~ class_Power_Opower(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.20/153.42 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_271]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_3611,plain,
% 153.20/153.42 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 153.20/153.42 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.20/153.42 | ~ class_Ring__and__Field_Omult__zero(X0)
% 153.20/153.42 | ~ class_Power_Opower(X0)
% 153.20/153.42 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.42 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.42 inference(rewriting,[status(thm)],[c_3610]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_1370,negated_conjecture,
% 153.20/153.42 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____) ),
% 153.20/153.42 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_4) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_1759,negated_conjecture,
% 153.20/153.42 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____) ),
% 153.20/153.42 inference(copy,[status(esa)],[c_1370]) ).
% 153.20/153.42
% 153.20/153.42 cnf(c_1763,negated_conjecture,
% 153.20/153.42 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1759]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1764,negated_conjecture,
% 153.20/153.43 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1763]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1765,negated_conjecture,
% 153.20/153.43 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1764]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5808,negated_conjecture,
% 153.20/153.43 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1765]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1360,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X3),hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X4))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2426_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5788,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X3),hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X4))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1360]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5789,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X8),hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X9)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5788]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1358,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2427_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5784,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1358]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5785,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),hAPP(hAPP(X1,X7),X9)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5784]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1356,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X3),X4)))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2428_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5780,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X3),X4)))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1356]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5781,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X8),X9))) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5780]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1354,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2429_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5776,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1354]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5777,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),hAPP(hAPP(X0,X8),X9)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),hAPP(hAPP(X0,X7),X9)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5776]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1350,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2431_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5768,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1350]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5769,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5768]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1348,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2432_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5764,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1348]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5765,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5764]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1346,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2433_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5760,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1346]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5761,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X6),X8)) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X7),X8)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5760]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1344,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2434_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5756,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1344]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5757,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5756]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1342,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2435_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5752,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1342]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5753,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5752]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1340,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2436_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5748,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1340]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5749,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5748]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1338,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2437_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5744,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1338]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5745,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5744]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1336,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2438_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5740,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1336]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5741,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5740]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1326,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2443_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5720,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1326]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5721,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5720]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1324,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2444_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5716,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1324]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5717,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5716]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1322,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),c_Suc(X3))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2445_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5712,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),c_Suc(X3))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1322]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5713,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5712]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1320,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2446_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5708,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1320]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5709,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5708]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1318,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2447_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5704,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1318]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5705,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5704]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1316,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2448_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5700,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1316]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5701,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5700]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1310,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),c_Suc(X3))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2451_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5688,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),c_Suc(X3))
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1310]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5689,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5688]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1304,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2454_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5676,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1304]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5677,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5676]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1302,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2455_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5672,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1302]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5673,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5672]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1300,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2456_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5668,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1300]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5669,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5668]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1296,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = X1
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2458_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5660,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = X1
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1296]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5661,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5660]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1292,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = X2
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2460_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5652,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = X2
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1292]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5653,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5652]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1288,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = X1
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2462_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5644,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = X1
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1288]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5645,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5644]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1286,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = X2
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2463_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5640,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = X2
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1286]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5641,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5640]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1284,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = X1
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2464_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5636,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = X1
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1284]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5637,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5636]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1282,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = X2
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2465_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5632,plain,
% 153.20/153.43 ( hAPP(hAPP(X0,X1),X2) = X2
% 153.20/153.43 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1282]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5633,plain,
% 153.20/153.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.20/153.43 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5632]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1278,plain,
% 153.20/153.43 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 153.20/153.43 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2468_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5624,plain,
% 153.20/153.43 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 153.20/153.43 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1278]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1276,plain,
% 153.20/153.43 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.20/153.43 | X4 = X3
% 153.20/153.43 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2469_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5620,plain,
% 153.20/153.43 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.20/153.43 | X4 = X3
% 153.20/153.43 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1276]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5621,plain,
% 153.20/153.43 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.20/153.43 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.20/153.43 | X4 = X3 ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5620]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1271,plain,
% 153.20/153.43 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 153.20/153.43 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2471_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5610,plain,
% 153.20/153.43 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 153.20/153.43 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1271]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1267,plain,
% 153.20/153.43 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 153.20/153.43 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2473_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5602,plain,
% 153.20/153.43 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 153.20/153.43 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1267]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1265,plain,
% 153.20/153.43 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.20/153.43 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2474_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5598,plain,
% 153.20/153.43 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.20/153.43 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1265]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1263,plain,
% 153.20/153.43 ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.20/153.43 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2475_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5594,plain,
% 153.20/153.43 ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.20/153.43 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1263]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5595,plain,
% 153.20/153.43 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.20/153.43 | c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2),X3,tc_Type_Otype,tc_Type_Otype)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5594]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1261,plain,
% 153.20/153.43 ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.20/153.43 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2476_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5590,plain,
% 153.20/153.43 ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.20/153.43 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1261]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5591,plain,
% 153.20/153.43 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.20/153.43 | c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2),X3,tc_Type_Otype,tc_Type_Otype)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5590]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1258,plain,
% 153.20/153.43 ( c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 153.20/153.43 | ~ c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 153.20/153.43 | ~ c_InductTermi_OIT(X1) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2477_2) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5584,plain,
% 153.20/153.43 ( c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 153.20/153.43 | ~ c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 153.20/153.43 | ~ c_InductTermi_OIT(X1) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1258]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1255,plain,
% 153.20/153.43 ( c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.20/153.43 | ~ c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X4,X3,tc_Type_Otype,tc_Type_Otype))
% 153.20/153.43 | ~ c_Type_Otypings(X0,X2,X4) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2478_2) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5578,plain,
% 153.20/153.43 ( c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.20/153.43 | ~ c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X4,X3,tc_Type_Otype,tc_Type_Otype))
% 153.20/153.43 | ~ c_Type_Otypings(X0,X2,X4) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1255]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1253,plain,
% 153.20/153.43 ( c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB))
% 153.20/153.43 | ~ c_Lambda_Obeta(X0,X2) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2479_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5574,plain,
% 153.20/153.43 ( c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB))
% 153.20/153.43 | ~ c_Lambda_Obeta(X0,X2) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1253]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1251,plain,
% 153.20/153.43 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 153.20/153.43 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2480_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5570,plain,
% 153.20/153.43 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 153.20/153.43 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1251]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5571,plain,
% 153.20/153.43 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.20/153.43 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X0,X1,X2)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5570]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1249,plain,
% 153.20/153.43 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 153.20/153.43 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2481_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5566,plain,
% 153.20/153.43 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 153.20/153.43 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1249]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5567,plain,
% 153.20/153.43 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.20/153.43 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5566]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1247,plain,
% 153.20/153.43 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 153.20/153.43 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2482_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5562,plain,
% 153.20/153.43 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 153.20/153.43 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1247]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5563,plain,
% 153.20/153.43 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.20/153.43 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5562]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1245,plain,
% 153.20/153.43 ( X0 = X1
% 153.20/153.43 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2483_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5558,plain,
% 153.20/153.43 ( X0 = X1
% 153.20/153.43 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1245]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5559,plain,
% 153.20/153.43 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.20/153.43 | X1 = X3 ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5558]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1243,plain,
% 153.20/153.43 ( X0 = X1
% 153.20/153.43 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2484_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5554,plain,
% 153.20/153.43 ( X0 = X1
% 153.20/153.43 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1243]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5555,plain,
% 153.20/153.43 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.20/153.43 | X0 = X2 ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5554]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1241,plain,
% 153.20/153.43 ( X0 = X1
% 153.20/153.43 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2485_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5550,plain,
% 153.20/153.43 ( X0 = X1
% 153.20/153.43 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1241]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5551,plain,
% 153.20/153.43 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.20/153.43 | X0 = X2 ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5550]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1239,plain,
% 153.20/153.43 ( X0 = X1
% 153.20/153.43 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2486_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5546,plain,
% 153.20/153.43 ( X0 = X1
% 153.20/153.43 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1239]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5547,plain,
% 153.20/153.43 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.20/153.43 | X1 = X3 ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5546]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1237,plain,
% 153.20/153.43 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0))
% 153.20/153.43 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2487_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5542,plain,
% 153.20/153.43 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0))
% 153.20/153.43 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1237]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5543,plain,
% 153.20/153.43 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 153.20/153.43 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0)) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5542]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1235,plain,
% 153.20/153.43 ( X0 = X1
% 153.20/153.43 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2489_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5538,plain,
% 153.20/153.43 ( X0 = X1
% 153.20/153.43 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1235]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5539,plain,
% 153.20/153.43 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.20/153.43 | X0 = X2 ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5538]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1233,plain,
% 153.20/153.43 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 153.20/153.43 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2490_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5534,plain,
% 153.20/153.43 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 153.20/153.43 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1233]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5535,plain,
% 153.20/153.43 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.20/153.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5534]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1231,plain,
% 153.20/153.43 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,c_HOL_Ozero__class_Ozero(X0),X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 153.20/153.43 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2491_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5530,plain,
% 153.20/153.43 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,c_HOL_Ozero__class_Ozero(X0),X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 153.20/153.43 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1231]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5531,plain,
% 153.20/153.43 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.20/153.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,c_HOL_Ozero__class_Ozero(X0),X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5530]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1229,plain,
% 153.20/153.43 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0)
% 153.20/153.43 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.20/153.43 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2493_1) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5526,plain,
% 153.20/153.43 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0)
% 153.20/153.43 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.20/153.43 inference(copy,[status(esa)],[c_1229]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_5527,plain,
% 153.20/153.43 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.20/153.43 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) ),
% 153.20/153.43 inference(rewriting,[status(thm)],[c_5526]) ).
% 153.20/153.43
% 153.20/153.43 cnf(c_1227,plain,
% 153.20/153.43 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X1,X0,X0)
% 153.20/153.43 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2494_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5522,plain,
% 153.20/153.44 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X1,X0,X0)
% 153.20/153.44 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1227]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5523,plain,
% 153.20/153.44 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 153.20/153.44 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X1,X0,X0) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5522]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1225,plain,
% 153.20/153.44 ( c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X1,X3)),X2))
% 153.20/153.44 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2495_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5518,plain,
% 153.20/153.44 ( c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X1,X3)),X2))
% 153.20/153.44 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1225]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5519,plain,
% 153.20/153.44 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 153.20/153.44 | c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)),X3)) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5518]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1221,plain,
% 153.20/153.44 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 153.20/153.44 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X4,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3),t_a))) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2497_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5510,plain,
% 153.20/153.44 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 153.20/153.44 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X4,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3),t_a))) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1221]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1219,plain,
% 153.20/153.44 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 153.20/153.44 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2499_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5506,plain,
% 153.20/153.44 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 153.20/153.44 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1219]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5507,plain,
% 153.20/153.44 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
% 153.20/153.44 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2 ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5506]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1217,plain,
% 153.20/153.44 ( c_Lambda_OdB_OVar(X0) = X1
% 153.20/153.44 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2501_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5502,plain,
% 153.20/153.44 ( c_Lambda_OdB_OVar(X0) = X1
% 153.20/153.44 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1217]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5503,plain,
% 153.20/153.44 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.20/153.44 | c_Lambda_OdB_OVar(X0) = X1 ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5502]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1215,plain,
% 153.20/153.44 ( X0 = c_Lambda_OdB_OAbs(X1)
% 153.20/153.44 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2502_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5498,plain,
% 153.20/153.44 ( X0 = c_Lambda_OdB_OAbs(X1)
% 153.20/153.44 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1215]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5499,plain,
% 153.20/153.44 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 153.20/153.44 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5498]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1213,plain,
% 153.20/153.44 ( c_Lambda_OdB_OAbs(X0) = X1
% 153.20/153.44 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2503_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5494,plain,
% 153.20/153.44 ( c_Lambda_OdB_OAbs(X0) = X1
% 153.20/153.44 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1213]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5495,plain,
% 153.20/153.44 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.20/153.44 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5494]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1211,plain,
% 153.20/153.44 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.20/153.44 | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2504_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5490,plain,
% 153.20/153.44 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.20/153.44 | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1211]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5491,plain,
% 153.20/153.44 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.20/153.44 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5490]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1209,plain,
% 153.20/153.44 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.20/153.44 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2505_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5486,plain,
% 153.20/153.44 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.20/153.44 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1209]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5487,plain,
% 153.20/153.44 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.20/153.44 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5486]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1207,plain,
% 153.20/153.44 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.20/153.44 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2506_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5482,plain,
% 153.20/153.44 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.20/153.44 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1207]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5483,plain,
% 153.20/153.44 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 153.20/153.44 | X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5482]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1203,plain,
% 153.20/153.44 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 153.20/153.44 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X3,c_Type_Otype_OAtom(X2),t_a))) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2508_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5474,plain,
% 153.20/153.44 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 153.20/153.44 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X3,c_Type_Otype_OAtom(X2),t_a))) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1203]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1193,plain,
% 153.20/153.44 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
% 153.20/153.44 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2522_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5454,plain,
% 153.20/153.44 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
% 153.20/153.44 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1193]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5455,plain,
% 153.20/153.44 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 153.20/153.44 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),hAPP(hAPP(c_Type_Otype_OFun,X1),X3)) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5454]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1189,plain,
% 153.20/153.44 ( hBOOL(hAPP(X0,X1))
% 153.20/153.44 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2524_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5446,plain,
% 153.20/153.44 ( hBOOL(hAPP(X0,X1))
% 153.20/153.44 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1189]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5447,plain,
% 153.20/153.44 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 153.20/153.44 | hBOOL(hAPP(X0,X2)) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5446]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1187,plain,
% 153.20/153.44 ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X1,X0,X2),tc_Type_Otype),X2,c_Type_Osko__Type__Xtyping__elims__3__2(X1,X0,X2))
% 153.20/153.44 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2525_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5442,plain,
% 153.20/153.44 ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X1,X0,X2),tc_Type_Otype),X2,c_Type_Osko__Type__Xtyping__elims__3__2(X1,X0,X2))
% 153.20/153.44 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1187]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1185,plain,
% 153.20/153.44 ( c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1))
% 153.20/153.44 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2527_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5438,plain,
% 153.20/153.44 ( c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1))
% 153.20/153.44 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1185]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5439,plain,
% 153.20/153.44 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 153.20/153.44 | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5438]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1183,plain,
% 153.20/153.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 153.20/153.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2528_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5434,plain,
% 153.20/153.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 153.20/153.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1183]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5435,plain,
% 153.20/153.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.20/153.44 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5434]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1181,plain,
% 153.20/153.44 ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(X0,X1),tc_Type_Otype),X1,c_Type_Osko__Type__Xabs__typeE__1__2(X0,X1))
% 153.20/153.44 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2529_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5430,plain,
% 153.20/153.44 ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(X0,X1),tc_Type_Otype),X1,c_Type_Osko__Type__Xabs__typeE__1__2(X0,X1))
% 153.20/153.44 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1181]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1179,plain,
% 153.20/153.44 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 153.20/153.44 | ~ c_Type_Otyping(X0,X3,X4) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2531_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5426,plain,
% 153.20/153.44 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 153.20/153.44 | ~ c_Type_Otyping(X0,X3,X4) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1179]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1174,plain,
% 153.20/153.44 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X2,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X0,tc_nat)
% 153.20/153.44 | c_lessequals(X0,X2,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2533_0) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5416,plain,
% 153.20/153.44 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X2,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X0,tc_nat)
% 153.20/153.44 | c_lessequals(X0,X2,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1174]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1173,plain,
% 153.20/153.44 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X2,tc_nat)
% 153.20/153.44 | c_lessequals(X0,X2,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2533_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5414,plain,
% 153.20/153.44 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X2,tc_nat)
% 153.20/153.44 | c_lessequals(X0,X2,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1173]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1171,plain,
% 153.20/153.44 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X2,X0,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X2,X1,tc_nat)
% 153.20/153.44 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2533_3) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5410,plain,
% 153.20/153.44 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X2,X0,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X2,X1,tc_nat)
% 153.20/153.44 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1171]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5411,plain,
% 153.20/153.44 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 153.20/153.44 | c_lessequals(X0,X2,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X0,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5410]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1167,plain,
% 153.20/153.44 ( c_lessequals(X0,X1,X2)
% 153.20/153.44 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 153.20/153.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.20/153.44 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2534_3) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5402,plain,
% 153.20/153.44 ( c_lessequals(X0,X1,X2)
% 153.20/153.44 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 153.20/153.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.20/153.44 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1167]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5403,plain,
% 153.20/153.44 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.44 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 153.20/153.44 | c_lessequals(X2,X1,X0) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5402]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1165,plain,
% 153.20/153.44 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2535_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5398,plain,
% 153.20/153.44 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1165]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5399,plain,
% 153.20/153.44 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.44 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5398]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1161,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 153.20/153.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.20/153.44 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2537_3) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5390,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 153.20/153.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.20/153.44 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1161]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5391,plain,
% 153.20/153.44 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 153.20/153.44 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5390]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1154,plain,
% 153.20/153.44 ( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2539_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5376,plain,
% 153.20/153.44 ( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1154]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5377,plain,
% 153.20/153.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.20/153.44 | c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5376]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1152,plain,
% 153.20/153.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 153.20/153.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2540_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5372,plain,
% 153.20/153.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 153.20/153.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1152]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5373,plain,
% 153.20/153.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.20/153.44 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5372]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1144,plain,
% 153.20/153.44 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X0,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X2,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2542_3) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5356,plain,
% 153.20/153.44 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X0,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X2,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1144]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1142,plain,
% 153.20/153.44 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2544_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5352,plain,
% 153.20/153.44 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1142]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5353,plain,
% 153.20/153.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.44 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),c_Suc(X1),tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),tc_nat) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5352]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1140,plain,
% 153.20/153.44 ( c_HOL_Ominus__class_Ominus(c_Suc(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2545_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5348,plain,
% 153.20/153.44 ( c_HOL_Ominus__class_Ominus(c_Suc(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1140]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5349,plain,
% 153.20/153.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.44 | c_HOL_Ominus__class_Ominus(c_Suc(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2,tc_nat) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5348]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1136,plain,
% 153.20/153.44 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.20/153.44 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 153.20/153.44 | ~ c_lessequals(X4,X3,X1)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2546_3) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5340,plain,
% 153.20/153.44 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.20/153.44 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 153.20/153.44 | ~ c_lessequals(X4,X3,X1)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1136]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1133,plain,
% 153.20/153.44 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.44 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2547_2) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5334,plain,
% 153.20/153.44 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.44 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1133]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5335,plain,
% 153.20/153.44 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.44 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.44 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat))) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5334]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1131,plain,
% 153.20/153.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.44 | 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)
% 153.20/153.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2551_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5330,plain,
% 153.20/153.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.44 | 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)
% 153.20/153.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1131]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5331,plain,
% 153.20/153.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X0,X2,tc_nat)
% 153.20/153.44 | 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) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5330]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1126,plain,
% 153.20/153.44 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)),X1)
% 153.20/153.44 | ~ c_lessequals(X2,X0,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2553_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5320,plain,
% 153.20/153.44 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)),X1)
% 153.20/153.44 | ~ c_lessequals(X2,X0,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1126]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5321,plain,
% 153.20/153.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.44 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5320]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1120,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2555_2) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5308,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1120]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5309,plain,
% 153.20/153.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.44 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5308]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1117,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2556_2) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5302,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1117]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5303,plain,
% 153.20/153.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.20/153.44 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5302]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1114,plain,
% 153.20/153.44 ( c_lessequals(X0,X1,X2)
% 153.20/153.44 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2557_2) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5296,plain,
% 153.20/153.44 ( c_lessequals(X0,X1,X2)
% 153.20/153.44 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1114]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5297,plain,
% 153.20/153.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.20/153.44 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.44 | c_lessequals(X2,X3,X0) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5296]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1111,plain,
% 153.20/153.44 ( c_lessequals(X0,X1,X2)
% 153.20/153.44 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2558_2) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5290,plain,
% 153.20/153.44 ( c_lessequals(X0,X1,X2)
% 153.20/153.44 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1111]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5291,plain,
% 153.20/153.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.20/153.44 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.20/153.44 | c_lessequals(X1,X3,X0) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5290]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1108,plain,
% 153.20/153.44 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X2,X1,tc_nat)
% 153.20/153.44 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2559_2) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5284,plain,
% 153.20/153.44 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X2,X1,tc_nat)
% 153.20/153.44 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1108]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5285,plain,
% 153.20/153.44 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 153.20/153.44 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5284]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1098,plain,
% 153.20/153.44 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.20/153.44 | ~ c_lessequals(X0,X3,X2)
% 153.20/153.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.20/153.44 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2561_3) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5264,plain,
% 153.20/153.44 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.20/153.44 | ~ c_lessequals(X0,X3,X2)
% 153.20/153.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.20/153.44 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1098]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5265,plain,
% 153.20/153.44 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.44 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 153.20/153.44 | ~ c_lessequals(X1,X3,X0) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5264]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1096,plain,
% 153.20/153.44 ( hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(X0,X1,X2)),c_Type_Osko__Type__Xtyping__elims__3__2(X0,X1,X2)) = X0
% 153.20/153.44 | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X0) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2562_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5260,plain,
% 153.20/153.44 ( hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(X0,X1,X2)),c_Type_Osko__Type__Xtyping__elims__3__2(X0,X1,X2)) = X0
% 153.20/153.44 | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X0) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1096]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5261,plain,
% 153.20/153.44 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 153.20/153.44 | hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(X2,X0,X1)),c_Type_Osko__Type__Xtyping__elims__3__2(X2,X0,X1)) = X2 ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5260]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1092,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.44 | ~ c_lessequals(X2,X4,X0)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2563_3) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5252,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.44 | ~ c_lessequals(X2,X4,X0)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1092]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5253,plain,
% 153.20/153.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.20/153.44 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5252]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1084,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2565_3) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5236,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1084]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5237,plain,
% 153.20/153.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.20/153.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5236]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1080,plain,
% 153.20/153.44 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.20/153.44 | ~ c_lessequals(X1,X3,X0)
% 153.20/153.44 | ~ c_lessequals(X2,X4,X0)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2566_3) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5228,plain,
% 153.20/153.44 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.20/153.44 | ~ c_lessequals(X1,X3,X0)
% 153.20/153.44 | ~ c_lessequals(X2,X4,X0)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1080]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5229,plain,
% 153.20/153.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 153.20/153.44 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.20/153.44 | ~ c_lessequals(X1,X3,X0)
% 153.20/153.44 | ~ c_lessequals(X2,X4,X0) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5228]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1078,plain,
% 153.20/153.44 ( 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)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2567_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5224,plain,
% 153.20/153.44 ( 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)
% 153.20/153.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1078]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5225,plain,
% 153.20/153.44 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.20/153.44 | 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) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5224]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1075,plain,
% 153.20/153.44 ( 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)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2568_2) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5218,plain,
% 153.20/153.44 ( 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)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1075]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5219,plain,
% 153.20/153.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.44 | 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)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5218]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1072,plain,
% 153.20/153.44 ( 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)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2569_2) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5212,plain,
% 153.20/153.44 ( 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)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1072]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1070,plain,
% 153.20/153.44 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X2,X1,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2570_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5208,plain,
% 153.20/153.44 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X2,X1,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1070]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1068,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2571_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5204,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1068]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5205,plain,
% 153.20/153.44 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 153.20/153.44 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5204]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1066,plain,
% 153.20/153.44 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.44 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2572_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5200,plain,
% 153.20/153.44 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.44 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1066]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5201,plain,
% 153.20/153.44 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 153.20/153.44 | c_lessequals(X1,X2,tc_nat) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5200]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1060,plain,
% 153.20/153.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.20/153.44 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2575_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5188,plain,
% 153.20/153.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.20/153.44 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1060]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5189,plain,
% 153.20/153.44 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 153.20/153.44 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5188]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1058,plain,
% 153.20/153.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.20/153.44 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2576_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5184,plain,
% 153.20/153.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.20/153.44 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1058]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5185,plain,
% 153.20/153.44 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.20/153.44 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5184]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1056,plain,
% 153.20/153.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.20/153.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2577_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5180,plain,
% 153.20/153.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.20/153.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1056]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5181,plain,
% 153.20/153.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.20/153.44 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5180]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1053,plain,
% 153.20/153.44 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 153.20/153.44 | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 153.20/153.44 | ~ c_Type_Otyping(X0,X2,X4) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2578_2) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5174,plain,
% 153.20/153.44 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 153.20/153.44 | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 153.20/153.44 | ~ c_Type_Otyping(X0,X2,X4) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1053]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1050,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2579_2) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5168,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1050]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1047,plain,
% 153.20/153.44 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X0,X2,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X3,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2580_2) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5162,plain,
% 153.20/153.44 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X0,X2,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X3,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1047]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1040,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2582_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5148,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1040]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1038,plain,
% 153.20/153.44 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.20/153.44 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2583_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5144,plain,
% 153.20/153.44 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.20/153.44 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1038]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5145,plain,
% 153.20/153.44 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 153.20/153.44 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5144]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1035,plain,
% 153.20/153.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 153.20/153.44 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 153.20/153.44 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2585_2) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5138,plain,
% 153.20/153.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 153.20/153.44 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 153.20/153.44 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1035]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5139,plain,
% 153.20/153.44 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.20/153.44 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)
% 153.20/153.44 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5138]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1033,plain,
% 153.20/153.44 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2586_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5134,plain,
% 153.20/153.44 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 153.20/153.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1033]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5135,plain,
% 153.20/153.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.44 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5134]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1031,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2587_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5130,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1031]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5131,plain,
% 153.20/153.44 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 153.20/153.44 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5130]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1029,plain,
% 153.20/153.44 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2588_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5126,plain,
% 153.20/153.44 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 153.20/153.44 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1029]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1025,plain,
% 153.20/153.44 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
% 153.20/153.44 | ~ c_lessequals(X2,X1,tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2590_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5118,plain,
% 153.20/153.44 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
% 153.20/153.44 | ~ c_lessequals(X2,X1,tc_nat) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1025]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5119,plain,
% 153.20/153.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.44 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5118]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1024,plain,
% 153.20/153.44 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 153.20/153.44 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.44 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2591_0) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5116,plain,
% 153.20/153.44 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 153.20/153.44 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.44 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1024]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1021,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.44 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 153.20/153.44 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2591_3) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5110,plain,
% 153.20/153.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.44 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 153.20/153.44 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1021]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5111,plain,
% 153.20/153.44 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.44 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 153.20/153.44 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.44 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5110]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1020,plain,
% 153.20/153.44 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.44 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 153.20/153.44 | c_lessequals(X1,X3,X0)
% 153.20/153.44 | c_lessequals(X1,X2,X0) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2592_0) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5108,plain,
% 153.20/153.44 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.44 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 153.20/153.44 | c_lessequals(X1,X3,X0)
% 153.20/153.44 | c_lessequals(X1,X2,X0) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1020]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1017,plain,
% 153.20/153.44 ( c_lessequals(X0,X1,X2)
% 153.20/153.44 | c_lessequals(X0,X3,X2)
% 153.20/153.44 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 153.20/153.44 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2592_3) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5102,plain,
% 153.20/153.44 ( c_lessequals(X0,X1,X2)
% 153.20/153.44 | c_lessequals(X0,X3,X2)
% 153.20/153.44 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 153.20/153.44 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.44 inference(copy,[status(esa)],[c_1017]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5103,plain,
% 153.20/153.44 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.44 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 153.20/153.44 | c_lessequals(X1,X2,X0)
% 153.20/153.44 | c_lessequals(X1,X3,X0) ),
% 153.20/153.44 inference(rewriting,[status(thm)],[c_5102]) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_1015,plain,
% 153.20/153.44 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 153.20/153.44 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 153.20/153.44 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2593_1) ).
% 153.20/153.44
% 153.20/153.44 cnf(c_5098,plain,
% 153.20/153.44 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 153.20/153.44 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_1015]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_5099,plain,
% 153.20/153.45 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 153.20/153.45 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_5098]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_1011,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2595_3) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_5090,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_1011]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_5091,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.45 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_5090]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_1007,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2596_3) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_5082,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_1007]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_5083,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_5082]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_1003,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2597_3) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_5074,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_1003]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_5075,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_5074]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_995,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2599_3) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_5058,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_995]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_5059,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_5058]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_987,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2601_3) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_5042,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_987]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_5043,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_5042]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_983,plain,
% 153.20/153.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2602_3) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_5034,plain,
% 153.20/153.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_983]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_5035,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_5034]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_963,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.20/153.45 | ~ c_lessequals(X0,X3,X1)
% 153.20/153.45 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2607_4) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4994,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.20/153.45 | ~ c_lessequals(X0,X3,X1)
% 153.20/153.45 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_963]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4995,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.20/153.45 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.20/153.45 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4994]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_960,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2608_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4988,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_960]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4989,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4988]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_957,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2609_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4982,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_957]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4983,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4982]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_954,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2610_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4976,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_954]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4977,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4976]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_951,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2611_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4970,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_951]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4971,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4970]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_948,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.45 | ~ c_lessequals(X2,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2612_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4964,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.45 | ~ c_lessequals(X2,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_948]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4965,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 153.20/153.45 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.45 | ~ c_lessequals(X2,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4964]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_945,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.20/153.45 | ~ c_lessequals(X1,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2613_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4958,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.20/153.45 | ~ c_lessequals(X1,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_945]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4959,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 153.20/153.45 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.20/153.45 | ~ c_lessequals(X1,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4958]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_942,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.45 | ~ c_lessequals(X2,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2614_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4952,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.45 | ~ c_lessequals(X2,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_942]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4953,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.20/153.45 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.20/153.45 | ~ c_lessequals(X2,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4952]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_939,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.20/153.45 | ~ c_lessequals(X1,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2615_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4946,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.20/153.45 | ~ c_lessequals(X1,X3,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_939]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4947,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.20/153.45 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.20/153.45 | ~ c_lessequals(X1,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4946]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_933,plain,
% 153.20/153.45 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 153.20/153.45 | ~ c_lessequals(X0,X2,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2617_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4934,plain,
% 153.20/153.45 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 153.20/153.45 | ~ c_lessequals(X0,X2,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_933]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_931,plain,
% 153.20/153.45 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 153.20/153.45 | ~ c_lessequals(X2,X1,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2618_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4930,plain,
% 153.20/153.45 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 153.20/153.45 | ~ c_lessequals(X2,X1,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_931]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_930,plain,
% 153.20/153.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2619_0) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4928,plain,
% 153.20/153.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_930]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_928,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2619_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4924,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_928]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4925,plain,
% 153.20/153.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4924]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_916,plain,
% 153.20/153.45 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 153.20/153.45 | ~ c_lessequals(X0,X3,X2)
% 153.20/153.45 | ~ c_lessequals(X1,X3,X2)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2622_3) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4900,plain,
% 153.20/153.45 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 153.20/153.45 | ~ c_lessequals(X0,X3,X2)
% 153.20/153.45 | ~ c_lessequals(X1,X3,X2)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_916]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4901,plain,
% 153.20/153.45 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.45 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 153.20/153.45 | ~ c_lessequals(X1,X3,X0)
% 153.20/153.45 | ~ c_lessequals(X2,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4900]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_912,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2623_3) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4892,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_912]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4893,plain,
% 153.20/153.45 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4892]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_908,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 153.20/153.45 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2625_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4884,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 153.20/153.45 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_908]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4885,plain,
% 153.20/153.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4884]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_902,plain,
% 153.20/153.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2627_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4872,plain,
% 153.20/153.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_902]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4873,plain,
% 153.20/153.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4872]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_899,plain,
% 153.20/153.45 ( 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)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X3) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2629_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4866,plain,
% 153.20/153.45 ( 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)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X3) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_899]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4867,plain,
% 153.20/153.45 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.45 | 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) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4866]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_897,plain,
% 153.20/153.45 ( 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)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2630_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4862,plain,
% 153.20/153.45 ( 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)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_897]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4863,plain,
% 153.20/153.45 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.45 | 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) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4862]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_858,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2643_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4784,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_858]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_856,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2644_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4780,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_856]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_854,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 153.20/153.45 | ~ c_lessequals(X1,X2,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2645_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4776,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 153.20/153.45 | ~ c_lessequals(X1,X2,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_854]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_852,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 153.20/153.45 | ~ c_lessequals(X0,X2,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2646_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4772,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 153.20/153.45 | ~ c_lessequals(X0,X2,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_852]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_843,plain,
% 153.20/153.45 ( c_lessequals(X0,X1,X2)
% 153.20/153.45 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2649_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4754,plain,
% 153.20/153.45 ( c_lessequals(X0,X1,X2)
% 153.20/153.45 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_843]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4755,plain,
% 153.20/153.45 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.45 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 153.20/153.45 | c_lessequals(X1,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4754]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_840,plain,
% 153.20/153.45 ( c_lessequals(X0,X1,X2)
% 153.20/153.45 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2650_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4748,plain,
% 153.20/153.45 ( c_lessequals(X0,X1,X2)
% 153.20/153.45 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_840]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4749,plain,
% 153.20/153.45 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.45 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 153.20/153.45 | c_lessequals(X2,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4748]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_837,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2651_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4742,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_837]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4743,plain,
% 153.20/153.45 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4742]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_834,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2652_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4736,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_834]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4737,plain,
% 153.20/153.45 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4736]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_832,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.20/153.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2653_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4732,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.20/153.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_832]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4733,plain,
% 153.20/153.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.20/153.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4732]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_830,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.20/153.45 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2654_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4728,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.20/153.45 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_830]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4729,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.20/153.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4728]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_828,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.20/153.45 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2655_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4724,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.20/153.45 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_828]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4725,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.20/153.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4724]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_825,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.20/153.45 | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2656_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4718,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.20/153.45 | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_825]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4719,plain,
% 153.20/153.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.20/153.45 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4718]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_820,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2661_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4708,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_820]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4709,plain,
% 153.20/153.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 153.20/153.45 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4708]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_806,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2665_3) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4680,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_806]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4681,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4680]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_803,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 153.20/153.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2668_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4674,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 153.20/153.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_803]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_801,plain,
% 153.20/153.45 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.45 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2669_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4670,plain,
% 153.20/153.45 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.45 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_801]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4671,plain,
% 153.20/153.45 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 153.20/153.45 | c_lessequals(X0,X2,tc_nat) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4670]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_799,plain,
% 153.20/153.45 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.45 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2670_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4666,plain,
% 153.20/153.45 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.45 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_799]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4667,plain,
% 153.20/153.45 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 153.20/153.45 | c_lessequals(X1,X2,tc_nat) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4666]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_797,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2671_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4662,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_797]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4663,plain,
% 153.20/153.45 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 153.20/153.45 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4662]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_795,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 153.20/153.45 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2672_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4658,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 153.20/153.45 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_795]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4659,plain,
% 153.20/153.45 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 153.20/153.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4658]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_792,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2674_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4652,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_792]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4653,plain,
% 153.20/153.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4652]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_789,plain,
% 153.20/153.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2675_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4646,plain,
% 153.20/153.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_789]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4647,plain,
% 153.20/153.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4646]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_786,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2678_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4640,plain,
% 153.20/153.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_786]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_783,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2679_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4634,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_783]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_780,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2680_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4628,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_780]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_777,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2681_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4622,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.20/153.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_777]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_774,plain,
% 153.20/153.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2682_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4616,plain,
% 153.20/153.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.20/153.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.20/153.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_774]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_771,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2683_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4610,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_771]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_768,plain,
% 153.20/153.45 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.20/153.45 | ~ c_lessequals(X0,X1,X2)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2684_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4604,plain,
% 153.20/153.45 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.20/153.45 | ~ c_lessequals(X0,X1,X2)
% 153.20/153.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_768]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_766,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2685_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4600,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_766]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4601,plain,
% 153.20/153.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.20/153.45 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4600]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_757,plain,
% 153.20/153.45 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 153.20/153.45 | ~ c_lessequals(X0,X1,X3)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X3) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2688_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4582,plain,
% 153.20/153.45 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 153.20/153.45 | ~ c_lessequals(X0,X1,X3)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X3) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_757]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4583,plain,
% 153.20/153.45 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.45 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 153.20/153.45 | ~ c_lessequals(X1,X2,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4582]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_754,plain,
% 153.20/153.45 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 153.20/153.45 | ~ c_lessequals(X0,X2,X3)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X3) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2689_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4576,plain,
% 153.20/153.45 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 153.20/153.45 | ~ c_lessequals(X0,X2,X3)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X3) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_754]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4577,plain,
% 153.20/153.45 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.45 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 153.20/153.45 | ~ c_lessequals(X1,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4576]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_745,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X3) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2692_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4558,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X3) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_745]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4559,plain,
% 153.20/153.45 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4558]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_742,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X3) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2693_2) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4552,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 153.20/153.45 | ~ class_Orderings_Olinorder(X3) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_742]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4553,plain,
% 153.20/153.45 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4552]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_740,plain,
% 153.20/153.45 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 153.20/153.45 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2694_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4548,plain,
% 153.20/153.45 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 153.20/153.45 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_740]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4549,plain,
% 153.20/153.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.45 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4548]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_738,plain,
% 153.20/153.45 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 153.20/153.45 | ~ c_Lambda_Obeta(X0,X3) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2695_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4544,plain,
% 153.20/153.45 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 153.20/153.45 | ~ c_Lambda_Obeta(X0,X3) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_738]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_736,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2696_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4540,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_736]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_734,plain,
% 153.20/153.45 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 153.20/153.45 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2697_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4536,plain,
% 153.20/153.45 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 153.20/153.45 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_734]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4537,plain,
% 153.20/153.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.45 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4536]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_732,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 153.20/153.45 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2698_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4532,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 153.20/153.45 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_732]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4533,plain,
% 153.20/153.45 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 153.20/153.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4532]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_730,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2699_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4528,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_730]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_728,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2703_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4524,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_728]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_726,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2704_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4520,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_726]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_724,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 153.20/153.45 | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2705_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4516,plain,
% 153.20/153.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 153.20/153.45 | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_724]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4517,plain,
% 153.20/153.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4516]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_723,plain,
% 153.20/153.45 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.45 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2706_0) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4514,plain,
% 153.20/153.45 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.45 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_723]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_720,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.20/153.45 | ~ c_lessequals(X3,X1,X2)
% 153.20/153.45 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2706_3) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4508,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.20/153.45 | ~ c_lessequals(X3,X1,X2)
% 153.20/153.45 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_720]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4509,plain,
% 153.20/153.45 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.45 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4508]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_715,plain,
% 153.20/153.45 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.45 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.45 | ~ c_lessequals(X3,X1,X0)
% 153.20/153.45 | c_lessequals(X3,X2,X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2708_0) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4498,plain,
% 153.20/153.45 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.45 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.45 | ~ c_lessequals(X3,X1,X0)
% 153.20/153.45 | c_lessequals(X3,X2,X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_715]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_714,plain,
% 153.20/153.45 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.45 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.45 | c_lessequals(X3,X2,X0)
% 153.20/153.45 | ~ c_lessequals(X3,X1,X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2708_1) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4496,plain,
% 153.20/153.45 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.45 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.45 | c_lessequals(X3,X2,X0)
% 153.20/153.45 | ~ c_lessequals(X3,X1,X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_714]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_712,plain,
% 153.20/153.45 ( c_lessequals(X0,X1,X2)
% 153.20/153.45 | ~ c_lessequals(X0,X3,X2)
% 153.20/153.45 | ~ c_lessequals(X3,X1,X2)
% 153.20/153.45 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2708_3) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4492,plain,
% 153.20/153.45 ( c_lessequals(X0,X1,X2)
% 153.20/153.45 | ~ c_lessequals(X0,X3,X2)
% 153.20/153.45 | ~ c_lessequals(X3,X1,X2)
% 153.20/153.45 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_712]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4493,plain,
% 153.20/153.45 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.45 | c_lessequals(X1,X2,X0)
% 153.20/153.45 | ~ c_lessequals(X1,X3,X0)
% 153.20/153.45 | ~ c_lessequals(X3,X2,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4492]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_707,plain,
% 153.20/153.45 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.45 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2710_0) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4482,plain,
% 153.20/153.45 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.45 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_707]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_704,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.20/153.45 | ~ c_lessequals(X0,X3,X2)
% 153.20/153.45 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2710_3) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4476,plain,
% 153.20/153.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.20/153.45 | ~ c_lessequals(X0,X3,X2)
% 153.20/153.45 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.45 inference(copy,[status(esa)],[c_704]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4477,plain,
% 153.20/153.45 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.45 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.45 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.20/153.45 inference(rewriting,[status(thm)],[c_4476]) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_703,plain,
% 153.20/153.45 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.45 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.45 | ~ c_lessequals(X2,X3,X0)
% 153.20/153.45 | c_lessequals(X1,X3,X0) ),
% 153.20/153.45 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2711_0) ).
% 153.20/153.45
% 153.20/153.45 cnf(c_4474,plain,
% 153.20/153.45 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.45 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.45 | ~ c_lessequals(X2,X3,X0)
% 153.20/153.46 | c_lessequals(X1,X3,X0) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_703]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_702,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.46 | c_lessequals(X1,X3,X0)
% 153.20/153.46 | ~ c_lessequals(X2,X3,X0) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2711_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4472,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.46 | c_lessequals(X1,X3,X0)
% 153.20/153.46 | ~ c_lessequals(X2,X3,X0) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_702]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_700,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ c_lessequals(X3,X1,X2)
% 153.20/153.46 | ~ c_lessequals(X0,X3,X2)
% 153.20/153.46 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2711_3) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4468,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ c_lessequals(X3,X1,X2)
% 153.20/153.46 | ~ c_lessequals(X0,X3,X2)
% 153.20/153.46 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_700]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4469,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | c_lessequals(X1,X2,X0)
% 153.20/153.46 | ~ c_lessequals(X3,X2,X0)
% 153.20/153.46 | ~ c_lessequals(X1,X3,X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4468]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_699,plain,
% 153.20/153.46 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2712_0) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4466,plain,
% 153.20/153.46 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_699]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_698,plain,
% 153.20/153.46 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2712_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4464,plain,
% 153.20/153.46 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_698]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_696,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.20/153.46 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2712_3) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4460,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.20/153.46 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_696]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4461,plain,
% 153.20/153.46 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4460]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_695,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2713_0) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4458,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_695]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_694,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2713_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4456,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_694]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_692,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.20/153.46 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2713_3) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4452,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.20/153.46 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_692]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4453,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4452]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_689,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 153.20/153.46 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2714_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4446,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 153.20/153.46 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_689]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4447,plain,
% 153.20/153.46 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4446]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_686,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 153.20/153.46 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2715_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4440,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 153.20/153.46 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_686]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4441,plain,
% 153.20/153.46 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.46 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 153.20/153.46 | c_lessequals(X1,X2,tc_nat) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4440]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_683,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2716_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4434,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_683]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_677,plain,
% 153.20/153.46 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.20/153.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2719_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4422,plain,
% 153.20/153.46 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.20/153.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_677]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_675,plain,
% 153.20/153.46 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.20/153.46 | ~ c_lessequals(X0,X2,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2720_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4418,plain,
% 153.20/153.46 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.20/153.46 | ~ c_lessequals(X0,X2,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_675]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_669,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2723_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4406,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_669]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_667,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2724_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4402,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_667]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_665,plain,
% 153.20/153.46 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2728_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4398,plain,
% 153.20/153.46 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_665]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4399,plain,
% 153.20/153.46 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.46 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4398]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_663,plain,
% 153.20/153.46 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2729_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4394,plain,
% 153.20/153.46 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_663]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4395,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.20/153.46 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4394]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_662,plain,
% 153.20/153.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_lessequals(X2,X0,tc_nat)
% 153.20/153.46 | c_lessequals(X2,X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2731_0) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4392,plain,
% 153.20/153.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_lessequals(X2,X0,tc_nat)
% 153.20/153.46 | c_lessequals(X2,X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_662]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_661,plain,
% 153.20/153.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | c_lessequals(X2,X1,tc_nat)
% 153.20/153.46 | ~ c_lessequals(X2,X0,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2731_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4390,plain,
% 153.20/153.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | c_lessequals(X2,X1,tc_nat)
% 153.20/153.46 | ~ c_lessequals(X2,X0,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_661]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_660,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_lessequals(X0,X2,tc_nat)
% 153.20/153.46 | ~ c_lessequals(X2,X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2731_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4388,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_lessequals(X0,X2,tc_nat)
% 153.20/153.46 | ~ c_lessequals(X2,X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_660]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_659,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 153.20/153.46 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.46 | hBOOL(hAPP(X1,X2))
% 153.20/153.46 | hBOOL(hAPP(X1,X0)) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2732_0) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4386,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 153.20/153.46 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.46 | hBOOL(hAPP(X1,X2))
% 153.20/153.46 | hBOOL(hAPP(X1,X0)) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_659]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_656,plain,
% 153.20/153.46 ( hBOOL(hAPP(X0,X1))
% 153.20/153.46 | hBOOL(hAPP(X0,X2))
% 153.20/153.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2732_3) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4380,plain,
% 153.20/153.46 ( hBOOL(hAPP(X0,X1))
% 153.20/153.46 | hBOOL(hAPP(X0,X2))
% 153.20/153.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_656]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4381,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 153.20/153.46 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.46 | hBOOL(hAPP(X1,X0))
% 153.20/153.46 | hBOOL(hAPP(X1,X2)) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4380]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_654,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2733_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4376,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_654]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_652,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2734_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4372,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 153.20/153.46 inference(copy,[status(esa)],[c_652]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_650,plain,
% 153.20/153.46 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.46 | c_lessequals(X2,X1,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2735_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4368,plain,
% 153.20/153.46 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.46 | c_lessequals(X2,X1,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_650]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_645,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 153.20/153.46 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2737_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4358,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 153.20/153.46 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_645]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4359,plain,
% 153.20/153.46 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4358]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_642,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.20/153.46 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2738_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4352,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.20/153.46 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_642]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4353,plain,
% 153.20/153.46 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4352]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_639,plain,
% 153.20/153.46 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 153.20/153.46 | ~ c_lessequals(X0,X2,tc_nat)
% 153.20/153.46 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2739_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4346,plain,
% 153.20/153.46 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 153.20/153.46 | ~ c_lessequals(X0,X2,tc_nat)
% 153.20/153.46 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_639]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4347,plain,
% 153.20/153.46 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.46 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,tc_nat) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4346]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_626,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.20/153.46 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2743_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4320,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.20/153.46 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_626]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4321,plain,
% 153.20/153.46 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.20/153.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4320]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_614,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | ~ c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ c_lessequals(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2746_3) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4296,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | ~ c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ c_lessequals(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_614]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4297,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.46 | ~ c_lessequals(X2,X1,X0)
% 153.20/153.46 | X1 = X2 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4296]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_616,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.46 | X2 = X1
% 153.20/153.46 | ~ c_lessequals(X2,X1,X0) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2746_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4300,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.46 | X2 = X1
% 153.20/153.46 | ~ c_lessequals(X2,X1,X0) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_616]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4301,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.46 | ~ c_lessequals(X2,X1,X0)
% 153.20/153.46 | X2 = X1 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4300]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_610,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.20/153.46 | ~ class_Int_Onumber__ring(X2)
% 153.20/153.46 | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2748_3) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4288,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.20/153.46 | ~ class_Int_Onumber__ring(X2)
% 153.20/153.46 | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_610]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4289,plain,
% 153.20/153.46 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.20/153.46 | ~ class_Int_Onumber__ring(X0)
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.20/153.46 | X2 = X3 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4288]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_607,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 153.20/153.46 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2749_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4282,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 153.20/153.46 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_607]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4283,plain,
% 153.20/153.46 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.20/153.46 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 153.20/153.46 | X2 = X3 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4282]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_604,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 153.20/153.46 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2750_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4276,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 153.20/153.46 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_604]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4277,plain,
% 153.20/153.46 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.20/153.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 153.20/153.46 | X1 = X2 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4276]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_602,plain,
% 153.20/153.46 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 153.20/153.46 | ~ c_Lambda_Obeta(X0,X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2751_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4272,plain,
% 153.20/153.46 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 153.20/153.46 | ~ c_Lambda_Obeta(X0,X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_602]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_600,plain,
% 153.20/153.46 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 153.20/153.46 | ~ c_Lambda_Obeta(X1,X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2752_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4268,plain,
% 153.20/153.46 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 153.20/153.46 | ~ c_Lambda_Obeta(X1,X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_600]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_594,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2754_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4256,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_594]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4257,plain,
% 153.20/153.46 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4256]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_591,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2755_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4250,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_591]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4251,plain,
% 153.20/153.46 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4250]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_588,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2756_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4244,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_588]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4245,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4244]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_585,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ c_lessequals(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2757_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4238,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ c_lessequals(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_585]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4239,plain,
% 153.20/153.46 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4238]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_579,plain,
% 153.20/153.46 ( ~ c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2759_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4226,plain,
% 153.20/153.46 ( ~ c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_579]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4227,plain,
% 153.20/153.46 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4226]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_576,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 153.20/153.46 | ~ c_lessequals(X0,X0,X1)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X1) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2760_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4220,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 153.20/153.46 | ~ c_lessequals(X0,X0,X1)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X1) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_576]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4221,plain,
% 153.20/153.46 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X1,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4220]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_570,plain,
% 153.20/153.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.46 | X1 = X2
% 153.20/153.46 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2762_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4208,plain,
% 153.20/153.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.46 | X1 = X2
% 153.20/153.46 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_570]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4209,plain,
% 153.20/153.46 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 153.20/153.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.46 | X1 = X4 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4208]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_568,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2763_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4204,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_568]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_566,plain,
% 153.20/153.46 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2764_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4200,plain,
% 153.20/153.46 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_566]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_564,plain,
% 153.20/153.46 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.46 | X1 = X0
% 153.20/153.46 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2765_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4196,plain,
% 153.20/153.46 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.46 | X1 = X0
% 153.20/153.46 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_564]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4197,plain,
% 153.20/153.46 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.46 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.46 | X1 = X0 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4196]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_560,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 153.20/153.46 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2766_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4188,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 153.20/153.46 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_560]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4189,plain,
% 153.20/153.46 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 153.20/153.46 | X1 = X3 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4188]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_557,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.20/153.46 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2767_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4182,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.20/153.46 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_557]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4183,plain,
% 153.20/153.46 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.20/153.46 | X2 = X3 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4182]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_554,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.20/153.46 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2768_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4176,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.20/153.46 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_554]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4177,plain,
% 153.20/153.46 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.20/153.46 | X2 = X3 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4176]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_552,plain,
% 153.20/153.46 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2769_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4172,plain,
% 153.20/153.46 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_552]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4173,plain,
% 153.20/153.46 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4172]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_550,plain,
% 153.20/153.46 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.46 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2771_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4168,plain,
% 153.20/153.46 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.46 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_550]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4169,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 153.20/153.46 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4168]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_548,plain,
% 153.20/153.46 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2772_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4164,plain,
% 153.20/153.46 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_548]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4165,plain,
% 153.20/153.46 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4164]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_545,plain,
% 153.20/153.46 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2773_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4158,plain,
% 153.20/153.46 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_545]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4159,plain,
% 153.20/153.46 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.46 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X0),X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4158]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_543,plain,
% 153.20/153.46 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2774_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4154,plain,
% 153.20/153.46 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_543]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4155,plain,
% 153.20/153.46 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.46 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4154]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_541,plain,
% 153.20/153.46 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 153.20/153.46 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2775_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4150,plain,
% 153.20/153.46 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 153.20/153.46 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_541]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4151,plain,
% 153.20/153.46 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 153.20/153.46 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4150]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_538,plain,
% 153.20/153.46 ( c_Type_Otyping(X0,X1,X2)
% 153.20/153.46 | ~ c_Type_Otyping(X0,X3,X2)
% 153.20/153.46 | ~ c_Lambda_Obeta(X3,X1) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2776_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4144,plain,
% 153.20/153.46 ( c_Type_Otyping(X0,X1,X2)
% 153.20/153.46 | ~ c_Type_Otyping(X0,X3,X2)
% 153.20/153.46 | ~ c_Lambda_Obeta(X3,X1) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_538]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_536,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2779_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4140,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_536]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4141,plain,
% 153.20/153.46 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.20/153.46 | c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4140]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_534,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2780_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4136,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_534]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4137,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4136]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_528,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | X0 = c_Suc(X1)
% 153.20/153.46 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2783_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4124,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | X0 = c_Suc(X1)
% 153.20/153.46 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_528]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4125,plain,
% 153.20/153.46 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 153.20/153.46 | c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | X0 = c_Suc(X1) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4124]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_520,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | X0 = X1
% 153.20/153.46 | ~ c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2785_3) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4108,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | X0 = X1
% 153.20/153.46 | ~ c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_520]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4109,plain,
% 153.20/153.46 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | X1 = X2 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4108]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_504,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | X0 = X1
% 153.20/153.46 | ~ c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2789_3) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4076,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | X0 = X1
% 153.20/153.46 | ~ c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_504]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4077,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | X1 = X2 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4076]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_496,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.46 | ~ c_lessequals(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2791_3) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4060,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.46 | ~ c_lessequals(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_496]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4061,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | X2 = X1 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4060]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_490,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,X2)
% 153.20/153.46 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2793_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4048,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,X2)
% 153.20/153.46 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_490]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4049,plain,
% 153.20/153.46 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.46 | c_lessequals(X1,X2,X0)
% 153.20/153.46 | c_Orderings_Oord__class_Omax(X1,X2,X0) != X2 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4048]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_488,plain,
% 153.20/153.46 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.20/153.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2794_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4044,plain,
% 153.20/153.46 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.20/153.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_488]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_484,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2796_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4036,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_484]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_478,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | X1 = X0
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2798_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4024,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | X1 = X0
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_478]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4025,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | X1 = X0 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4024]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_475,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | X0 = X1
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2799_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4018,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | X0 = X1
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_475]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4019,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | X0 = X1 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4018]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_472,plain,
% 153.20/153.46 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X0
% 153.20/153.46 | ~ c_lessequals(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2800_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4012,plain,
% 153.20/153.46 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X0
% 153.20/153.46 | ~ c_lessequals(X1,X0,X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_472]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4013,plain,
% 153.20/153.46 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.46 | c_Orderings_Oord__class_Omax(X2,X1,X0) = X2 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4012]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_469,plain,
% 153.20/153.46 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X1
% 153.20/153.46 | ~ c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2801_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4006,plain,
% 153.20/153.46 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X1
% 153.20/153.46 | ~ c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_469]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4007,plain,
% 153.20/153.46 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.46 | ~ c_lessequals(X1,X2,X0)
% 153.20/153.46 | c_Orderings_Oord__class_Omax(X1,X2,X0) = X2 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4006]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_467,plain,
% 153.20/153.46 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2802_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4002,plain,
% 153.20/153.46 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_467]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_4003,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_4002]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_465,plain,
% 153.20/153.46 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2803_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3998,plain,
% 153.20/153.46 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_465]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3999,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_3998]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_459,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2805_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3986,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ class_Orderings_Opreorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_459]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3987,plain,
% 153.20/153.46 ( ~ class_Orderings_Opreorder(X0)
% 153.20/153.46 | c_lessequals(X1,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_3986]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_456,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2806_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3980,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,X2)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | ~ class_Orderings_Oorder(X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_456]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3981,plain,
% 153.20/153.46 ( ~ class_Orderings_Oorder(X0)
% 153.20/153.46 | c_lessequals(X1,X2,X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_3980]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_452,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2808_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3972,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_452]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3973,plain,
% 153.20/153.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 153.20/153.46 | X0 = X2 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_3972]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_450,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2809_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3968,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_450]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3969,plain,
% 153.20/153.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 153.20/153.46 | X1 = X2 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_3968]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_448,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2810_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3964,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_448]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3965,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_3964]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_446,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2811_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3960,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_446]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3961,plain,
% 153.20/153.46 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_3960]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_442,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2813_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3952,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_442]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3953,plain,
% 153.20/153.46 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_3952]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_440,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2814_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3948,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_440]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_438,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.20/153.46 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2819_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3944,plain,
% 153.20/153.46 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.20/153.46 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_438]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3945,plain,
% 153.20/153.46 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_3944]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_436,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2820_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3940,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_436]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_434,plain,
% 153.20/153.46 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2821_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3936,plain,
% 153.20/153.46 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_434]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_430,plain,
% 153.20/153.46 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2826_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3928,plain,
% 153.20/153.46 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 153.20/153.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_430]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_428,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.20/153.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2827_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3924,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.20/153.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_428]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3925,plain,
% 153.20/153.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_3924]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_424,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2829_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3916,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_424]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_415,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2832_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3898,plain,
% 153.20/153.46 ( X0 = X1
% 153.20/153.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_415]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3899,plain,
% 153.20/153.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.46 | X0 = X1 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_3898]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_413,plain,
% 153.20/153.46 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2833_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3894,plain,
% 153.20/153.46 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_413]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3895,plain,
% 153.20/153.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 153.20/153.46 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_3894]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_409,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2835_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3886,plain,
% 153.20/153.46 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_409]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_406,plain,
% 153.20/153.46 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 153.20/153.46 | hBOOL(hAPP(X0,X1))
% 153.20/153.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2836_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3880,plain,
% 153.20/153.46 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 153.20/153.46 | hBOOL(hAPP(X0,X1))
% 153.20/153.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_406]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3881,plain,
% 153.20/153.46 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.46 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 153.20/153.46 | hBOOL(hAPP(X0,X1)) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_3880]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_403,plain,
% 153.20/153.46 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 153.20/153.46 | hBOOL(hAPP(X0,X1))
% 153.20/153.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2837_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3874,plain,
% 153.20/153.46 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 153.20/153.46 | hBOOL(hAPP(X0,X1))
% 153.20/153.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_403]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3875,plain,
% 153.20/153.46 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.20/153.46 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 153.20/153.46 | hBOOL(hAPP(X0,X1)) ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_3874]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_401,plain,
% 153.20/153.46 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 153.20/153.46 | ~ c_InductTermi_OIT(X0) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2838_1) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3870,plain,
% 153.20/153.46 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 153.20/153.46 | ~ c_InductTermi_OIT(X0) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_401]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_387,plain,
% 153.20/153.46 ( hBOOL(hAPP(X0,X1))
% 153.20/153.46 | hBOOL(hAPP(X0,X2))
% 153.20/153.46 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2841_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3842,plain,
% 153.20/153.46 ( hBOOL(hAPP(X0,X1))
% 153.20/153.46 | hBOOL(hAPP(X0,X2))
% 153.20/153.46 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_387]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_384,plain,
% 153.20/153.46 ( hBOOL(hAPP(X0,X1))
% 153.20/153.46 | hBOOL(hAPP(X0,X2))
% 153.20/153.46 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2842_2) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3836,plain,
% 153.20/153.46 ( hBOOL(hAPP(X0,X1))
% 153.20/153.46 | hBOOL(hAPP(X0,X2))
% 153.20/153.46 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_384]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_365,plain,
% 153.20/153.46 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.46 | X1 = X2
% 153.20/153.46 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2849_0) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3798,plain,
% 153.20/153.46 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.46 | X1 = X2
% 153.20/153.46 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.20/153.46 inference(copy,[status(esa)],[c_365]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3799,plain,
% 153.20/153.46 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.20/153.46 | X2 = X1 ),
% 153.20/153.46 inference(rewriting,[status(thm)],[c_3798]) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_362,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.46 | X0 = X1
% 153.20/153.46 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.46 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2849_3) ).
% 153.20/153.46
% 153.20/153.46 cnf(c_3792,plain,
% 153.20/153.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.20/153.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.46 | X0 = X1
% 153.20/153.47 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_362]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3793,plain,
% 153.20/153.47 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.47 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.20/153.47 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.20/153.47 | X1 = X2 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3792]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_356,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2851_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3780,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_356]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3781,plain,
% 153.20/153.47 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 153.20/153.47 | X1 = X3 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3780]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_354,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2852_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3776,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_354]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3777,plain,
% 153.20/153.47 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 153.20/153.47 | X0 = X2 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3776]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_352,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | hAPP(hAPP(c_Type_Otype_OFun,X2),X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2853_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3772,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | hAPP(hAPP(c_Type_Otype_OFun,X2),X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_352]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3773,plain,
% 153.20/153.47 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 153.20/153.47 | X1 = X3 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3772]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_350,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | hAPP(hAPP(c_Type_Otype_OFun,X0),X2) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2854_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3768,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | hAPP(hAPP(c_Type_Otype_OFun,X0),X2) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_350]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3769,plain,
% 153.20/153.47 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 153.20/153.47 | X0 = X2 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3768]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_347,plain,
% 153.20/153.47 ( c_lessequals(X0,X1,X2)
% 153.20/153.47 | c_lessequals(X1,X0,X2)
% 153.20/153.47 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2856_2) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3762,plain,
% 153.20/153.47 ( c_lessequals(X0,X1,X2)
% 153.20/153.47 | c_lessequals(X1,X0,X2)
% 153.20/153.47 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_347]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3763,plain,
% 153.20/153.47 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.47 | c_lessequals(X1,X2,X0)
% 153.20/153.47 | c_lessequals(X2,X1,X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3762]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_338,plain,
% 153.20/153.47 ( c_lessequals(X0,X0,X1)
% 153.20/153.47 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 153.20/153.47 | ~ class_Orderings_Olinorder(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2859_2) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3744,plain,
% 153.20/153.47 ( c_lessequals(X0,X0,X1)
% 153.20/153.47 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 153.20/153.47 | ~ class_Orderings_Olinorder(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_338]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3745,plain,
% 153.20/153.47 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.47 | c_lessequals(X1,X1,X0)
% 153.20/153.47 | c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3744]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_335,plain,
% 153.20/153.47 ( c_lessequals(X0,X1,X2)
% 153.20/153.47 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.47 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2860_2) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3738,plain,
% 153.20/153.47 ( c_lessequals(X0,X1,X2)
% 153.20/153.47 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.20/153.47 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_335]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3739,plain,
% 153.20/153.47 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.47 | c_lessequals(X1,X2,X0)
% 153.20/153.47 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3738]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_333,plain,
% 153.20/153.47 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 153.20/153.47 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2861_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3734,plain,
% 153.20/153.47 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 153.20/153.47 | ~ class_Orderings_Olinorder(X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_333]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3735,plain,
% 153.20/153.47 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.47 | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3734]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_331,plain,
% 153.20/153.47 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 153.20/153.47 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2864_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3730,plain,
% 153.20/153.47 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 153.20/153.47 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_331]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3731,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 153.20/153.47 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3730]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_329,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.47 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2866_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3726,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.47 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_329]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3727,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.20/153.47 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3726]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_325,plain,
% 153.20/153.47 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2868_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3718,plain,
% 153.20/153.47 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_325]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3719,plain,
% 153.20/153.47 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3718]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_321,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.20/153.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2870_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3710,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.20/153.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_321]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3711,plain,
% 153.20/153.47 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3710]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_319,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.20/153.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2871_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3706,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.20/153.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_319]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3707,plain,
% 153.20/153.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3706]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_317,plain,
% 153.20/153.47 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2872_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3702,plain,
% 153.20/153.47 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_317]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3703,plain,
% 153.20/153.47 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3702]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_312,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.47 | X1 = X0
% 153.20/153.47 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2875_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3692,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.47 | X1 = X0
% 153.20/153.47 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_312]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3693,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.47 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.20/153.47 | X1 = X0 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3692]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_307,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.20/153.47 | ~ class_Int_Onumber__ring(X2)
% 153.20/153.47 | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2876_3) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3682,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.20/153.47 | ~ class_Int_Onumber__ring(X2)
% 153.20/153.47 | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_307]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3683,plain,
% 153.20/153.47 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.20/153.47 | ~ class_Int_Onumber__ring(X0)
% 153.20/153.47 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.47 | X1 = X2 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3682]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_305,plain,
% 153.20/153.47 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 153.20/153.47 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2877_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3678,plain,
% 153.20/153.47 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 153.20/153.47 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_305]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3679,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.20/153.47 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3678]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_303,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2878_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3674,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_303]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3675,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 153.20/153.47 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3674]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_301,plain,
% 153.20/153.47 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2879_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3670,plain,
% 153.20/153.47 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_301]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_298,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2880_2) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3664,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_298]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3665,plain,
% 153.20/153.47 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 153.20/153.47 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3664]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_294,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 153.20/153.47 | ~ class_Int_Onumber__ring(X1)
% 153.20/153.47 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2881_3) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3656,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 153.20/153.47 | ~ class_Int_Onumber__ring(X1)
% 153.20/153.47 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_294]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3657,plain,
% 153.20/153.47 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.20/153.47 | ~ class_Int_Onumber__ring(X0)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 153.20/153.47 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3656]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_291,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.20/153.47 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2882_2) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3650,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.20/153.47 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_291]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3651,plain,
% 153.20/153.47 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.20/153.47 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.47 | X1 = X2 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3650]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_288,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.20/153.47 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2883_2) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3644,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.20/153.47 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_288]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3645,plain,
% 153.20/153.47 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 153.20/153.47 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.47 | X1 = X2 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3644]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_285,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2884_2) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3638,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_285]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3639,plain,
% 153.20/153.47 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3638]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_281,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2886_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3630,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_281]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_279,plain,
% 153.20/153.47 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2886_2) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3626,plain,
% 153.20/153.47 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_279]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3627,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3626]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_277,plain,
% 153.20/153.47 ( hBOOL(hAPP(X0,X1))
% 153.20/153.47 | ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0))) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2887_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3622,plain,
% 153.20/153.47 ( hBOOL(hAPP(X0,X1))
% 153.20/153.47 | ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0))) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_277]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3623,plain,
% 153.20/153.47 ( ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0)))
% 153.20/153.47 | hBOOL(hAPP(X0,X1)) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3622]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_267,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2890_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3602,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_267]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3603,plain,
% 153.20/153.47 ( c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2)
% 153.20/153.47 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3602]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_258,plain,
% 153.20/153.47 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2893_2) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3584,plain,
% 153.20/153.47 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_258]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3585,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3584]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_255,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2894_2) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3578,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_255]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3579,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3578]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_253,plain,
% 153.20/153.47 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 153.20/153.47 | ~ c_InductTermi_OIT(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2895_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3574,plain,
% 153.20/153.47 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 153.20/153.47 | ~ c_InductTermi_OIT(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_253]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_249,plain,
% 153.20/153.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.20/153.47 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2897_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3566,plain,
% 153.20/153.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.20/153.47 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_249]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3567,plain,
% 153.20/153.47 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.20/153.47 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3566]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_247,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2900_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3562,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_247]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3563,plain,
% 153.20/153.47 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3562]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_245,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2901_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3558,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_245]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3559,plain,
% 153.20/153.47 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3558]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_243,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2902_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3554,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_243]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3555,plain,
% 153.20/153.47 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3554]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_241,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2903_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3550,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_241]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3551,plain,
% 153.20/153.47 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 153.20/153.47 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3550]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_237,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2906_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3542,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_237]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_235,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2906_2) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3538,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_235]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3539,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.20/153.47 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3538]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_233,plain,
% 153.20/153.47 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 153.20/153.47 | ~ c_Lambda_Obeta(X0,X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2907_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3534,plain,
% 153.20/153.47 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 153.20/153.47 | ~ c_Lambda_Obeta(X0,X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_233]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_231,plain,
% 153.20/153.47 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2910_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3530,plain,
% 153.20/153.47 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_231]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3531,plain,
% 153.20/153.47 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3530]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_228,plain,
% 153.20/153.47 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.47 | ~ class_Power_Opower(X0)
% 153.20/153.47 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2912_2) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3524,plain,
% 153.20/153.47 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.47 | ~ class_Power_Opower(X0)
% 153.20/153.47 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_228]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3525,plain,
% 153.20/153.47 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 153.20/153.47 | ~ class_Power_Opower(X0)
% 153.20/153.47 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3524]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_224,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | ~ class_Power_Opower(X1)
% 153.20/153.47 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2915_3) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3516,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | ~ class_Power_Opower(X1)
% 153.20/153.47 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_224]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3517,plain,
% 153.20/153.47 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 153.20/153.47 | ~ class_Power_Opower(X0)
% 153.20/153.47 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.47 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3516]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_222,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.47 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2916_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3512,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.47 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_222]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3513,plain,
% 153.20/153.47 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3512]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_220,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2921_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3508,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_220]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3509,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3508]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_218,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2922_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3504,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_218]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3505,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3504]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_214,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2924_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3496,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 153.20/153.47 inference(copy,[status(esa)],[c_214]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3497,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 153.20/153.47 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3496]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_211,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.20/153.47 | ~ class_Int_Onumber__ring(X0)
% 153.20/153.47 | ~ class_Ring__and__Field_Oidom(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2925_2) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3490,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.20/153.47 | ~ class_Int_Onumber__ring(X0)
% 153.20/153.47 | ~ class_Ring__and__Field_Oidom(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_211]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3491,plain,
% 153.20/153.47 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.20/153.47 | ~ class_Int_Onumber__ring(X0)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3490]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_208,plain,
% 153.20/153.47 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | ~ class_Int_Onumber__ring(X1)
% 153.20/153.47 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2926_2) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3484,plain,
% 153.20/153.47 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | ~ class_Int_Onumber__ring(X1)
% 153.20/153.47 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_208]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3485,plain,
% 153.20/153.47 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.20/153.47 | ~ class_Int_Onumber__ring(X0)
% 153.20/153.47 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3484]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_204,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.20/153.47 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2928_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3476,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.20/153.47 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_204]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3477,plain,
% 153.20/153.47 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3476]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_202,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.20/153.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2929_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3472,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.20/153.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_202]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3473,plain,
% 153.20/153.47 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3472]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_200,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.20/153.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2930_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3468,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.20/153.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_200]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3469,plain,
% 153.20/153.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3468]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_198,plain,
% 153.20/153.47 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 153.20/153.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2933_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3464,plain,
% 153.20/153.47 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 153.20/153.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_198]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3465,plain,
% 153.20/153.47 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 153.20/153.47 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3464]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_196,plain,
% 153.20/153.47 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 153.20/153.47 | ~ class_Orderings_Obot(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2935_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3460,plain,
% 153.20/153.47 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 153.20/153.47 | ~ class_Orderings_Obot(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_196]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3461,plain,
% 153.20/153.47 ( ~ class_Orderings_Obot(X0)
% 153.20/153.47 | c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3460]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_194,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.20/153.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2936_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3456,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.20/153.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_194]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3457,plain,
% 153.20/153.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3456]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_192,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.20/153.47 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2937_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3452,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.20/153.47 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_192]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3453,plain,
% 153.20/153.47 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3452]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_190,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.20/153.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2938_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3448,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.20/153.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_190]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3449,plain,
% 153.20/153.47 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.20/153.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3448]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_188,plain,
% 153.20/153.47 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2939_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3444,plain,
% 153.20/153.47 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_188]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3445,plain,
% 153.20/153.47 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.20/153.47 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3444]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_184,plain,
% 153.20/153.47 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2941_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3436,plain,
% 153.20/153.47 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.20/153.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_184]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3437,plain,
% 153.20/153.47 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 153.20/153.47 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3436]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_182,plain,
% 153.20/153.47 ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 153.20/153.47 | ~ class_Orderings_Olinorder(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2950_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3432,plain,
% 153.20/153.47 ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 153.20/153.47 | ~ class_Orderings_Olinorder(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_182]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3433,plain,
% 153.20/153.47 ( ~ class_Orderings_Olinorder(X0)
% 153.20/153.47 | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3432]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_180,plain,
% 153.20/153.47 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2953_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3428,plain,
% 153.20/153.47 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_180]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3429,plain,
% 153.20/153.47 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3428]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_178,plain,
% 153.20/153.47 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2954_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3424,plain,
% 153.20/153.47 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_178]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3425,plain,
% 153.20/153.47 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3424]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_176,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2958_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3420,plain,
% 153.20/153.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.20/153.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_176]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3421,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.20/153.47 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3420]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_173,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 153.20/153.47 | ~ class_Nat_Osemiring__char__0(X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2972_2) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3414,plain,
% 153.20/153.47 ( X0 = X1
% 153.20/153.47 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 153.20/153.47 | ~ class_Nat_Osemiring__char__0(X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_173]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3415,plain,
% 153.20/153.47 ( ~ class_Nat_Osemiring__char__0(X0)
% 153.20/153.47 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 153.20/153.47 | X1 = X2 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3414]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_171,plain,
% 153.20/153.47 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 153.20/153.47 | ~ c_Lambda_Obeta(X0,X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2979_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3410,plain,
% 153.20/153.47 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 153.20/153.47 | ~ c_Lambda_Obeta(X0,X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_171]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_169,plain,
% 153.20/153.47 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2980_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3406,plain,
% 153.20/153.47 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_169]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_167,plain,
% 153.20/153.47 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2981_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3402,plain,
% 153.20/153.47 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_167]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_165,plain,
% 153.20/153.47 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 153.20/153.47 | ~ class_Orderings_Opreorder(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2982_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3398,plain,
% 153.20/153.47 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 153.20/153.47 | ~ class_Orderings_Opreorder(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_165]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_163,plain,
% 153.20/153.47 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2983_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3394,plain,
% 153.20/153.47 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_163]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_161,plain,
% 153.20/153.47 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.47 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2985_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3390,plain,
% 153.20/153.47 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.20/153.47 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_161]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3391,plain,
% 153.20/153.47 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 153.20/153.47 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3390]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_159,plain,
% 153.20/153.47 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2987_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3386,plain,
% 153.20/153.47 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_159]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_157,plain,
% 153.20/153.47 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2988_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3382,plain,
% 153.20/153.47 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_157]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3383,plain,
% 153.20/153.47 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3382]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_155,plain,
% 153.20/153.47 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2989_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3378,plain,
% 153.20/153.47 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_155]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3379,plain,
% 153.20/153.47 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3378]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_151,plain,
% 153.20/153.47 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2991_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3370,plain,
% 153.20/153.47 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_151]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3371,plain,
% 153.20/153.47 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3370]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_149,plain,
% 153.20/153.47 ( X0 = X1 | c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2992_1) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3366,plain,
% 153.20/153.47 ( X0 = X1 | c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_149]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3367,plain,
% 153.20/153.47 ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) | X0 = X1 ),
% 153.20/153.47 inference(rewriting,[status(thm)],[c_3366]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_148,plain,
% 153.20/153.47 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2488_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3364,plain,
% 153.20/153.47 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_148]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_147,plain,
% 153.20/153.47 ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2500_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3362,plain,
% 153.20/153.47 ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_147]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_146,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2725_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3360,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_146]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_145,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2726_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3358,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_145]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_144,plain,
% 153.20/153.47 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2898_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3356,plain,
% 153.20/153.47 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_144]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_143,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2899_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3354,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_143]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_141,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2909_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3350,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_141]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_139,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2914_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3346,plain,
% 153.20/153.47 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_139]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_138,plain,
% 153.20/153.47 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2944_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3344,plain,
% 153.20/153.47 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_138]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_137,plain,
% 153.20/153.47 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2945_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3342,plain,
% 153.20/153.47 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_137]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_136,plain,
% 153.20/153.47 ( c_Type_Otype_OAtom(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2946_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3340,plain,
% 153.20/153.47 ( c_Type_Otype_OAtom(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_136]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_135,plain,
% 153.20/153.47 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != c_Type_Otype_OAtom(X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2947_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3338,plain,
% 153.20/153.47 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != c_Type_Otype_OAtom(X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_135]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_134,plain,
% 153.20/153.47 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2948_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3336,plain,
% 153.20/153.47 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_134]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_133,plain,
% 153.20/153.47 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2949_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3334,plain,
% 153.20/153.47 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_133]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_132,plain,
% 153.20/153.47 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2984_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3332,plain,
% 153.20/153.47 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_132]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_131,plain,
% 153.20/153.47 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2994_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3330,plain,
% 153.20/153.47 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_131]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_130,plain,
% 153.20/153.47 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2995_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3328,plain,
% 153.20/153.47 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_130]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_126,plain,
% 153.20/153.47 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3000_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3320,plain,
% 153.20/153.47 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_126]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_124,plain,
% 153.20/153.47 ( c_Suc(X0) != X0 ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3003_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3316,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_124]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_109,plain,
% 153.20/153.47 ( c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2526_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3300,plain,
% 153.20/153.47 ( c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_109]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_108,plain,
% 153.20/153.47 ( c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2530_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3298,plain,
% 153.20/153.47 ( c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_108]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_97,plain,
% 153.20/153.47 ( 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) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2658_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3286,plain,
% 153.20/153.47 ( 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) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_97]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_91,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2673_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3279,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_91]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_87,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2701_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3273,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_87]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_86,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2702_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3271,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_86]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_85,plain,
% 153.20/153.47 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2727_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3269,plain,
% 153.20/153.47 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_85]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_80,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2777_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3263,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_80]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_79,plain,
% 153.20/153.47 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2778_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3261,plain,
% 153.20/153.47 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_79]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_72,plain,
% 153.20/153.47 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2823_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3252,plain,
% 153.20/153.47 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_72]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_71,plain,
% 153.20/153.47 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2824_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3250,plain,
% 153.20/153.47 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_71]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_68,plain,
% 153.20/153.47 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2862_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3246,plain,
% 153.20/153.47 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_68]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_66,plain,
% 153.20/153.47 ( c_Type_Otyping(v_ea____,v_s____,hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2865_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3243,plain,
% 153.20/153.47 ( c_Type_Otyping(v_ea____,v_s____,hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_66]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_64,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2904_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3240,plain,
% 153.20/153.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_64]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_63,plain,
% 153.20/153.47 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2911_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3238,plain,
% 153.20/153.47 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_63]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_56,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2934_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3230,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_56]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_55,plain,
% 153.20/153.47 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2942_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3228,plain,
% 153.20/153.47 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_55]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_52,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2952_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3223,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_52]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_48,plain,
% 153.20/153.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2959_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3218,plain,
% 153.20/153.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_48]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_46,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2961_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3214,plain,
% 153.20/153.47 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_46]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_38,plain,
% 153.20/153.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2969_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3205,plain,
% 153.20/153.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_38]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_36,plain,
% 153.20/153.47 ( c_fequal(X0,X0,X1) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2971_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3202,plain,
% 153.20/153.47 ( c_fequal(X0,X0,X1) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_36]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_33,plain,
% 153.20/153.47 ( c_lessequals(X0,X0,tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2975_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3197,plain,
% 153.20/153.47 ( c_lessequals(X0,X0,tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_33]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_32,plain,
% 153.20/153.47 ( c_Type_Otyping(v_ea____,v_ta____,v_Ta____) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_2976_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3195,plain,
% 153.20/153.47 ( c_Type_Otyping(v_ea____,v_ta____,v_Ta____) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_32]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_26,plain,
% 153.20/153.47 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3001_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3188,plain,
% 153.20/153.47 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_26]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_24,plain,
% 153.20/153.47 ( class_Power_Opower(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3005_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3185,plain,
% 153.20/153.47 ( class_Power_Opower(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_24]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_23,plain,
% 153.20/153.47 ( class_Orderings_Obot(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3006_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3183,plain,
% 153.20/153.47 ( class_Orderings_Obot(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_23]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_22,plain,
% 153.20/153.47 ( class_Orderings_Oorder(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3007_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3181,plain,
% 153.20/153.47 ( class_Orderings_Oorder(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_22]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_21,plain,
% 153.20/153.47 ( class_Orderings_Olinorder(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3008_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3179,plain,
% 153.20/153.47 ( class_Orderings_Olinorder(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_21]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_20,plain,
% 153.20/153.47 ( class_Orderings_Opreorder(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3009_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3177,plain,
% 153.20/153.47 ( class_Orderings_Opreorder(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_20]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_19,plain,
% 153.20/153.47 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3010_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3175,plain,
% 153.20/153.47 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_19]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_18,plain,
% 153.20/153.47 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3011_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3173,plain,
% 153.20/153.47 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_18]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_17,plain,
% 153.20/153.47 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3012_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3171,plain,
% 153.20/153.47 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_17]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_16,plain,
% 153.20/153.47 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3013_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3169,plain,
% 153.20/153.47 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_16]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_15,plain,
% 153.20/153.47 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3014_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3167,plain,
% 153.20/153.47 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_15]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_14,plain,
% 153.20/153.47 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3015_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3165,plain,
% 153.20/153.47 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_14]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_13,plain,
% 153.20/153.47 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3016_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3163,plain,
% 153.20/153.47 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_13]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_12,plain,
% 153.20/153.47 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3017_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3161,plain,
% 153.20/153.47 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_12]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_11,plain,
% 153.20/153.47 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3018_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3159,plain,
% 153.20/153.47 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_11]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_10,plain,
% 153.20/153.47 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3019_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3157,plain,
% 153.20/153.47 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_10]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_9,plain,
% 153.20/153.47 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3020_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3155,plain,
% 153.20/153.47 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_9]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_8,plain,
% 153.20/153.47 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3021_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3153,plain,
% 153.20/153.47 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_8]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_7,plain,
% 153.20/153.47 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 153.20/153.47 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3022_0) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_3151,plain,
% 153.20/153.47 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 153.20/153.47 inference(copy,[status(esa)],[c_7]) ).
% 153.20/153.47
% 153.20/153.47 cnf(c_6,plain,
% 153.20/153.47 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 153.20/153.48 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3023_0) ).
% 153.20/153.48
% 153.20/153.48 cnf(c_3149,plain,
% 153.20/153.48 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 153.20/153.48 inference(copy,[status(esa)],[c_6]) ).
% 153.20/153.48
% 153.20/153.48 cnf(c_5,plain,
% 153.20/153.48 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 153.20/153.48 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3024_0) ).
% 153.20/153.48
% 153.20/153.48 cnf(c_3147,plain,
% 153.20/153.48 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 153.20/153.48 inference(copy,[status(esa)],[c_5]) ).
% 153.20/153.48
% 153.20/153.48 cnf(c_4,plain,
% 153.20/153.48 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 153.20/153.48 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3025_0) ).
% 153.20/153.48
% 153.20/153.48 cnf(c_3145,plain,
% 153.20/153.48 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 153.20/153.48 inference(copy,[status(esa)],[c_4]) ).
% 153.20/153.48
% 153.20/153.48 cnf(c_3,plain,
% 153.20/153.48 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 153.20/153.48 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3026_0) ).
% 153.20/153.48
% 153.20/153.48 cnf(c_3143,plain,
% 153.20/153.48 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 153.20/153.48 inference(copy,[status(esa)],[c_3]) ).
% 153.20/153.48
% 153.20/153.48 cnf(c_2,plain,
% 153.20/153.48 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 153.20/153.48 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3027_0) ).
% 153.20/153.48
% 153.20/153.48 cnf(c_3141,plain,
% 153.20/153.48 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 153.20/153.48 inference(copy,[status(esa)],[c_2]) ).
% 153.20/153.48
% 153.20/153.48 cnf(c_1,plain,
% 153.20/153.48 ( c_InductTermi_OIT(v_ta____) ),
% 153.20/153.48 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3028_0) ).
% 153.20/153.48
% 153.20/153.48 cnf(c_3139,plain,
% 153.20/153.48 ( c_InductTermi_OIT(v_ta____) ),
% 153.20/153.48 inference(copy,[status(esa)],[c_1]) ).
% 153.20/153.48
% 153.20/153.48 cnf(c_0,plain,
% 153.20/153.48 ( c_InductTermi_OIT(v_s____) ),
% 153.20/153.48 file('/export/starexec/sandbox/tmp/iprover_modulo_c4a616.p', c_0_3029_0) ).
% 153.20/153.48
% 153.20/153.48 cnf(c_3137,plain,
% 153.20/153.48 ( c_InductTermi_OIT(v_s____) ),
% 153.20/153.48 inference(copy,[status(esa)],[c_0]) ).
% 153.20/153.48
% 153.20/153.48
% 153.20/153.48
% 153.20/153.48 % ------ Statistics
% 153.20/153.48
% 153.20/153.48 % ------ General
% 153.20/153.48
% 153.20/153.48 % num_of_input_clauses: 1371
% 153.20/153.48 % num_of_input_neg_conjectures: 1
% 153.20/153.48 % num_of_splits: 0
% 153.20/153.48 % num_of_split_atoms: 0
% 153.20/153.48 % num_of_sem_filtered_clauses: 0
% 153.20/153.48 % num_of_subtypes: 0
% 153.20/153.48 % monotx_restored_types: 0
% 153.20/153.48 % sat_num_of_epr_types: 0
% 153.20/153.48 % sat_num_of_non_cyclic_types: 0
% 153.20/153.48 % sat_guarded_non_collapsed_types: 0
% 153.20/153.48 % is_epr: 0
% 153.20/153.48 % is_horn: 0
% 153.20/153.48 % has_eq: 1
% 153.20/153.48 % num_pure_diseq_elim: 0
% 153.20/153.48 % simp_replaced_by: 0
% 153.20/153.48 % res_preprocessed: 2
% 153.20/153.48 % prep_upred: 0
% 153.20/153.48 % prep_unflattend: 0
% 153.20/153.48 % pred_elim_cands: 0
% 153.20/153.48 % pred_elim: 0
% 153.20/153.48 % pred_elim_cl: 0
% 153.20/153.48 % pred_elim_cycles: 0
% 153.20/153.48 % forced_gc_time: 0
% 153.20/153.48 % gc_basic_clause_elim: 0
% 153.20/153.48 % parsing_time: 0.032
% 153.20/153.48 % sem_filter_time: 0.
% 153.20/153.48 % pred_elim_time: 0.
% 153.20/153.48 % out_proof_time: 0.
% 153.20/153.48 % monotx_time: 0.
% 153.20/153.48 % subtype_inf_time: 0.
% 153.20/153.48 % unif_index_cands_time: 0.
% 153.20/153.48 % unif_index_add_time: 0.001
% 153.20/153.48 % total_time: 2.792
% 153.20/153.48 % num_of_symbols: 120
% 153.20/153.48 % num_of_terms: 2931
% 153.20/153.48
% 153.20/153.48 % ------ Propositional Solver
% 153.20/153.48
% 153.20/153.48 % prop_solver_calls: 1
% 153.20/153.48 % prop_fast_solver_calls: 3
% 153.20/153.48 % prop_num_of_clauses: 1250
% 153.20/153.48 % prop_preprocess_simplified: 4164
% 153.20/153.48 % prop_fo_subsumed: 0
% 153.20/153.48 % prop_solver_time: 0.
% 153.20/153.48 % prop_fast_solver_time: 0.
% 153.20/153.48 % prop_unsat_core_time: 0.
% 153.20/153.48
% 153.20/153.48 % ------ QBF
% 153.20/153.48
% 153.20/153.48 % qbf_q_res: 0
% 153.20/153.48 % qbf_num_tautologies: 0
% 153.20/153.48 % qbf_prep_cycles: 0
% 153.20/153.48
% 153.20/153.48 % ------ BMC1
% 153.20/153.48
% 153.20/153.48 % bmc1_current_bound: -1
% 153.20/153.48 % bmc1_last_solved_bound: -1
% 153.20/153.48 % bmc1_unsat_core_size: -1
% 153.20/153.48 % bmc1_unsat_core_parents_size: -1
% 153.20/153.48 % bmc1_merge_next_fun: 0
% 153.20/153.48 % bmc1_unsat_core_clauses_time: 0.
% 153.20/153.48
% 153.20/153.48 % ------ Instantiation
% 153.20/153.48
% 153.20/153.48 % inst_num_of_clauses: 1184
% 153.20/153.48 % inst_num_in_passive: 0
% 153.20/153.48 % inst_num_in_active: 0
% 153.20/153.48 % inst_num_in_unprocessed: 1371
% 153.20/153.48 % inst_num_of_loops: 0
% 153.20/153.48 % inst_num_of_learning_restarts: 0
% 153.20/153.48 % inst_num_moves_active_passive: 0
% 153.20/153.48 % inst_lit_activity: 0
% 153.20/153.48 % inst_lit_activity_moves: 0
% 153.20/153.48 % inst_num_tautologies: 0
% 153.20/153.48 % inst_num_prop_implied: 0
% 153.20/153.48 % inst_num_existing_simplified: 0
% 153.20/153.48 % inst_num_eq_res_simplified: 0
% 153.20/153.48 % inst_num_child_elim: 0
% 153.20/153.48 % inst_num_of_dismatching_blockings: 0
% 153.20/153.48 % inst_num_of_non_proper_insts: 0
% 153.20/153.48 % inst_num_of_duplicates: 0
% 153.20/153.48 % inst_inst_num_from_inst_to_res: 0
% 153.20/153.48 % inst_dismatching_checking_time: 0.
% 153.20/153.48
% 153.20/153.48 % ------ Resolution
% 153.20/153.48
% 153.20/153.48 % res_num_of_clauses: 1271
% 153.20/153.48 % res_num_in_passive: 0
% 153.20/153.48 % res_num_in_active: 518
% 153.20/153.48 % res_num_of_loops: 3
% 153.20/153.48 % res_forward_subset_subsumed: 784
% 153.20/153.48 % res_backward_subset_subsumed: 0
% 153.20/153.48 % res_forward_subsumed: 1
% 153.20/153.48 % res_backward_subsumed: 0
% 153.20/153.48 % res_forward_subsumption_resolution: 0
% 153.20/153.48 % res_backward_subsumption_resolution: 0
% 153.20/153.48 % res_clause_to_clause_subsumption: 1
% 153.20/153.48 % res_orphan_elimination: 0
% 153.20/153.48 % res_tautology_del: 0
% 153.20/153.48 % res_num_eq_res_simplified: 0
% 153.20/153.48 % res_num_sel_changes: 0
% 153.20/153.48 % res_moves_from_active_to_pass: 0
% 153.20/153.48
% 153.20/153.48 % Status Unknown
% 153.20/153.48 % Last status :
% 153.20/153.48 % SZS status Unknown
%------------------------------------------------------------------------------