TSTP Solution File: LCL804-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL804-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 11:39:59 EDT 2022
% Result : Unknown 157.70s 157.85s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL804-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 21:28:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.45/0.62 % Orienting using strategy Equiv(ClausalAll)
% 0.45/0.62 % Orientation found
% 0.45/0.62 % 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_d3574a.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_5e9a47 | grep -v "SZS"
% 0.48/0.65
% 0.48/0.65 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.48/0.65
% 0.48/0.65 %
% 0.48/0.65 % ------ iProver source info
% 0.48/0.65
% 0.48/0.65 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.48/0.65 % git: non_committed_changes: true
% 0.48/0.65 % git: last_make_outside_of_git: true
% 0.48/0.65
% 0.48/0.65 %
% 0.48/0.65 % ------ Input Options
% 0.48/0.65
% 0.48/0.65 % --out_options all
% 0.48/0.65 % --tptp_safe_out true
% 0.48/0.65 % --problem_path ""
% 0.48/0.65 % --include_path ""
% 0.48/0.65 % --clausifier .//eprover
% 0.48/0.65 % --clausifier_options --tstp-format
% 0.48/0.65 % --stdin false
% 0.48/0.65 % --dbg_backtrace false
% 0.48/0.65 % --dbg_dump_prop_clauses false
% 0.48/0.65 % --dbg_dump_prop_clauses_file -
% 0.48/0.65 % --dbg_out_stat false
% 0.48/0.65
% 0.48/0.65 % ------ General Options
% 0.48/0.65
% 0.48/0.65 % --fof false
% 0.48/0.65 % --time_out_real 150.
% 0.48/0.65 % --time_out_prep_mult 0.2
% 0.48/0.65 % --time_out_virtual -1.
% 0.48/0.65 % --schedule none
% 0.48/0.65 % --ground_splitting input
% 0.48/0.65 % --splitting_nvd 16
% 0.48/0.65 % --non_eq_to_eq false
% 0.48/0.65 % --prep_gs_sim true
% 0.48/0.65 % --prep_unflatten false
% 0.48/0.65 % --prep_res_sim true
% 0.48/0.65 % --prep_upred true
% 0.48/0.65 % --res_sim_input true
% 0.48/0.65 % --clause_weak_htbl true
% 0.48/0.65 % --gc_record_bc_elim false
% 0.48/0.65 % --symbol_type_check false
% 0.48/0.65 % --clausify_out false
% 0.48/0.65 % --large_theory_mode false
% 0.48/0.65 % --prep_sem_filter none
% 0.48/0.65 % --prep_sem_filter_out false
% 0.48/0.65 % --preprocessed_out false
% 0.48/0.65 % --sub_typing false
% 0.48/0.65 % --brand_transform false
% 0.48/0.65 % --pure_diseq_elim true
% 0.48/0.65 % --min_unsat_core false
% 0.48/0.65 % --pred_elim true
% 0.48/0.65 % --add_important_lit false
% 0.48/0.65 % --soft_assumptions false
% 0.48/0.65 % --reset_solvers false
% 0.48/0.65 % --bc_imp_inh []
% 0.48/0.65 % --conj_cone_tolerance 1.5
% 0.48/0.65 % --prolific_symb_bound 500
% 0.48/0.65 % --lt_threshold 2000
% 0.48/0.65
% 0.48/0.65 % ------ SAT Options
% 0.48/0.65
% 0.48/0.65 % --sat_mode false
% 0.48/0.65 % --sat_fm_restart_options ""
% 0.48/0.65 % --sat_gr_def false
% 0.48/0.65 % --sat_epr_types true
% 0.48/0.65 % --sat_non_cyclic_types false
% 0.48/0.65 % --sat_finite_models false
% 0.48/0.65 % --sat_fm_lemmas false
% 0.48/0.65 % --sat_fm_prep false
% 0.48/0.65 % --sat_fm_uc_incr true
% 0.48/0.65 % --sat_out_model small
% 0.48/0.65 % --sat_out_clauses false
% 0.48/0.65
% 0.48/0.65 % ------ QBF Options
% 0.48/0.65
% 0.48/0.65 % --qbf_mode false
% 0.48/0.65 % --qbf_elim_univ true
% 0.48/0.65 % --qbf_sk_in true
% 0.48/0.65 % --qbf_pred_elim true
% 0.48/0.65 % --qbf_split 32
% 0.48/0.65
% 0.48/0.65 % ------ BMC1 Options
% 0.48/0.65
% 0.48/0.65 % --bmc1_incremental false
% 0.48/0.65 % --bmc1_axioms reachable_all
% 0.48/0.65 % --bmc1_min_bound 0
% 0.48/0.65 % --bmc1_max_bound -1
% 0.48/0.65 % --bmc1_max_bound_default -1
% 0.48/0.65 % --bmc1_symbol_reachability true
% 0.48/0.65 % --bmc1_property_lemmas false
% 0.48/0.65 % --bmc1_k_induction false
% 0.48/0.65 % --bmc1_non_equiv_states false
% 0.48/0.65 % --bmc1_deadlock false
% 0.48/0.65 % --bmc1_ucm false
% 0.48/0.65 % --bmc1_add_unsat_core none
% 0.48/0.65 % --bmc1_unsat_core_children false
% 0.48/0.65 % --bmc1_unsat_core_extrapolate_axioms false
% 0.48/0.65 % --bmc1_out_stat full
% 0.48/0.65 % --bmc1_ground_init false
% 0.48/0.65 % --bmc1_pre_inst_next_state false
% 0.48/0.65 % --bmc1_pre_inst_state false
% 0.48/0.65 % --bmc1_pre_inst_reach_state false
% 0.48/0.65 % --bmc1_out_unsat_core false
% 0.48/0.65 % --bmc1_aig_witness_out false
% 0.48/0.65 % --bmc1_verbose false
% 0.48/0.65 % --bmc1_dump_clauses_tptp false
% 150.47/150.65 % --bmc1_dump_unsat_core_tptp false
% 150.47/150.65 % --bmc1_dump_file -
% 150.47/150.65 % --bmc1_ucm_expand_uc_limit 128
% 150.47/150.65 % --bmc1_ucm_n_expand_iterations 6
% 150.47/150.65 % --bmc1_ucm_extend_mode 1
% 150.47/150.65 % --bmc1_ucm_init_mode 2
% 150.47/150.65 % --bmc1_ucm_cone_mode none
% 150.47/150.65 % --bmc1_ucm_reduced_relation_type 0
% 150.47/150.65 % --bmc1_ucm_relax_model 4
% 150.47/150.65 % --bmc1_ucm_full_tr_after_sat true
% 150.47/150.65 % --bmc1_ucm_expand_neg_assumptions false
% 150.47/150.65 % --bmc1_ucm_layered_model none
% 150.47/150.65 % --bmc1_ucm_max_lemma_size 10
% 150.47/150.65
% 150.47/150.65 % ------ AIG Options
% 150.47/150.65
% 150.47/150.65 % --aig_mode false
% 150.47/150.65
% 150.47/150.65 % ------ Instantiation Options
% 150.47/150.65
% 150.47/150.65 % --instantiation_flag true
% 150.47/150.65 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.47/150.65 % --inst_solver_per_active 750
% 150.47/150.65 % --inst_solver_calls_frac 0.5
% 150.47/150.65 % --inst_passive_queue_type priority_queues
% 150.47/150.65 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.47/150.65 % --inst_passive_queues_freq [25;2]
% 150.47/150.65 % --inst_dismatching true
% 150.47/150.65 % --inst_eager_unprocessed_to_passive true
% 150.47/150.65 % --inst_prop_sim_given true
% 150.47/150.65 % --inst_prop_sim_new false
% 150.47/150.65 % --inst_orphan_elimination true
% 150.47/150.65 % --inst_learning_loop_flag true
% 150.47/150.65 % --inst_learning_start 3000
% 150.47/150.65 % --inst_learning_factor 2
% 150.47/150.65 % --inst_start_prop_sim_after_learn 3
% 150.47/150.65 % --inst_sel_renew solver
% 150.47/150.65 % --inst_lit_activity_flag true
% 150.47/150.65 % --inst_out_proof true
% 150.47/150.65
% 150.47/150.65 % ------ Resolution Options
% 150.47/150.65
% 150.47/150.65 % --resolution_flag true
% 150.47/150.65 % --res_lit_sel kbo_max
% 150.47/150.65 % --res_to_prop_solver none
% 150.47/150.65 % --res_prop_simpl_new false
% 150.47/150.65 % --res_prop_simpl_given false
% 150.47/150.65 % --res_passive_queue_type priority_queues
% 150.47/150.65 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.47/150.65 % --res_passive_queues_freq [15;5]
% 150.47/150.65 % --res_forward_subs full
% 150.47/150.65 % --res_backward_subs full
% 150.47/150.65 % --res_forward_subs_resolution true
% 150.47/150.65 % --res_backward_subs_resolution true
% 150.47/150.65 % --res_orphan_elimination false
% 150.47/150.65 % --res_time_limit 1000.
% 150.47/150.65 % --res_out_proof true
% 150.47/150.65 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d3574a.s
% 150.47/150.65 % --modulo true
% 150.47/150.65
% 150.47/150.65 % ------ Combination Options
% 150.47/150.65
% 150.47/150.65 % --comb_res_mult 1000
% 150.47/150.65 % --comb_inst_mult 300
% 150.47/150.65 % ------
% 150.47/150.65
% 150.47/150.65 % ------ Parsing...% successful
% 150.47/150.65
% 150.47/150.65 % ------ 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 %
% 150.47/150.65
% 150.47/150.65 % ------ Proving...
% 150.47/150.65 % ------ Problem Properties
% 150.47/150.65
% 150.47/150.65 %
% 150.47/150.65 % EPR false
% 150.47/150.65 % Horn false
% 150.47/150.65 % Has equality true
% 150.47/150.65
% 150.47/150.65 % % ------ Input Options Time Limit: Unbounded
% 150.47/150.65
% 150.47/150.65
% 150.47/150.65 Compiling...
% 150.47/150.65 Loading plugin: done.
% 150.47/150.65 %
% 150.47/150.65
% 150.47/150.65
% 150.47/150.65 % Time Out Real
% 150.47/150.65
% 150.47/150.65 % ------ Statistics
% 150.47/150.65
% 150.47/150.65 % ------ General
% 150.47/150.65
% 150.47/150.65 % num_of_input_clauses: 2638
% 150.47/150.65 % num_of_input_neg_conjectures: 1
% 150.47/150.65 % num_of_splits: 0
% 150.47/150.65 % num_of_split_atoms: 0
% 150.47/150.65 % num_of_sem_filtered_clauses: 0
% 150.47/150.65 % num_of_subtypes: 0
% 150.47/150.65 % monotx_restored_types: 0
% 150.47/150.65 % sat_num_of_epr_types: 0
% 150.47/150.65 % sat_num_of_non_cyclic_types: 0
% 150.47/150.65 % sat_guarded_non_collapsed_types: 0
% 150.47/150.65 % is_epr: 0
% 150.47/150.65 % is_horn: 0
% 150.47/150.65 % has_eq: 1
% 150.47/150.65 % num_pure_diseq_elim: 0
% 150.47/150.65 % simp_replaced_by: 0
% 150.47/150.65 % res_preprocessed: 2
% 150.47/150.65 % prep_upred: 0
% 150.47/150.65 % prep_unflattend: 0
% 150.47/150.65 % pred_elim_cands: 0
% 150.47/150.65 % pred_elim: 0
% 150.47/150.65 % pred_elim_cl: 0
% 150.47/150.65 % pred_elim_cycles: 0
% 150.47/150.65 % forced_gc_time: 0
% 150.47/150.65 % gc_basic_clause_elim: 0
% 150.47/150.65 % parsing_time: 0.142
% 150.47/150.65 % sem_filter_time: 0.
% 150.47/150.65 % pred_elim_time: 0.
% 150.47/150.65 % out_proof_time: 0.
% 150.47/150.65 % monotx_time: 0.
% 150.47/150.65 % subtype_inf_time: 0.
% 150.47/150.65 % unif_index_cands_time: 0.
% 150.47/150.65 % unif_index_add_time: 0.001
% 150.47/150.65 % total_time: 150.023
% 150.47/150.65 % num_of_symbols: 162
% 150.47/150.65 % num_of_terms: 7972
% 150.47/150.65
% 150.47/150.65 % ------ Propositional Solver
% 150.47/150.65
% 150.47/150.65 % prop_solver_calls: 1
% 150.47/150.65 % prop_fast_solver_calls: 3
% 150.47/150.65 % prop_num_of_clauses: 2198
% 150.47/150.65 % prop_preprocess_simplified: 8238
% 150.47/150.65 % prop_fo_subsumed: 0
% 150.47/150.65 % prop_solver_time: 0.
% 150.47/150.65 % prop_fast_solver_time: 0.
% 150.47/150.65 % prop_unsat_core_time: 0.
% 150.47/150.65
% 150.47/150.65 % ------ QBF
% 150.47/150.65
% 150.47/150.65 % qbf_q_res: 0
% 150.47/150.65 % qbf_num_tautologies: 0
% 150.47/150.65 % qbf_prep_cycles: 0
% 150.47/150.65
% 150.47/150.65 % ------ BMC1
% 150.47/150.65
% 150.47/150.65 % bmc1_current_bound: -1
% 150.47/150.65 % bmc1_last_solved_bound: -1
% 150.47/150.65 % bmc1_unsat_core_size: -1
% 150.47/150.65 % bmc1_unsat_core_parents_size: -1
% 150.47/150.65 % bmc1_merge_next_fun: 0
% 150.47/150.65 % bmc1_unsat_core_clauses_time: 0.
% 150.47/150.65
% 150.47/150.65 % ------ Instantiation
% 150.47/150.65
% 150.47/150.65 % inst_num_of_clauses: 2312
% 150.47/150.65 % inst_num_in_passive: 0
% 150.47/150.65 % inst_num_in_active: 0
% 150.47/150.65 % inst_num_in_unprocessed: 2638
% 150.47/150.65 % inst_num_of_loops: 0
% 150.47/150.65 % inst_num_of_learning_restarts: 0
% 150.47/150.65 % inst_num_moves_active_passive: 0
% 150.47/150.65 % inst_lit_activity: 0
% 150.47/150.65 % inst_lit_activity_moves: 0
% 150.47/150.65 % inst_num_tautologies: 0
% 150.47/150.65 % inst_num_prop_implied: 0
% 150.47/150.65 % inst_num_existing_simplified: 0
% 150.47/150.65 % inst_num_eq_res_simplified: 0
% 150.47/150.65 % inst_num_child_elim: 0
% 150.47/150.65 % inst_num_of_dismatching_blockings: 0
% 150.47/150.65 % inst_num_of_non_proper_insts: 0
% 150.47/150.65 % inst_num_of_duplicates: 0
% 150.47/150.65 % inst_inst_num_from_inst_to_res: 0
% 150.47/150.65 % inst_dismatching_checking_time: 0.
% 150.47/150.65
% 150.47/150.65 % ------ Resolution
% 150.47/150.65
% 150.47/150.65 % res_num_of_clauses: 2319
% 150.47/150.65 % res_num_in_passive: 0
% 150.47/150.65 % res_num_in_active: 836
% 150.47/150.65 % res_num_of_loops: 0
% 150.47/150.65 % res_forward_subset_subsumed: 1500
% 150.47/150.65 % res_backward_subset_subsumed: 3
% 150.47/150.65 % res_forward_subsumed: 0
% 150.47/150.65 % res_backward_subsumed: 0
% 150.47/150.65 % res_forward_subsumption_resolution: 0
% 150.47/150.65 % res_backward_subsumption_resolution: 0
% 150.47/150.65 % res_clause_to_clause_subsumption: 0
% 150.47/150.65 % res_orphan_elimination: 0
% 150.47/150.65 % res_tautology_del: 0
% 150.47/150.65 % res_num_eq_res_simplified: 0
% 150.47/150.65 % res_num_sel_changes: 0
% 150.47/150.65 % res_moves_from_active_to_pass: 0
% 150.47/150.65
% 150.47/150.66 % Status Unknown
% 150.52/150.93 % Orienting using strategy ClausalAll
% 150.52/150.93 % Orientation found
% 150.52/150.93 % 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_d3574a.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_a0ac98 | grep -v "SZS"
% 150.80/150.95
% 150.80/150.95 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.80/150.95
% 150.80/150.95 %
% 150.80/150.95 % ------ iProver source info
% 150.80/150.95
% 150.80/150.95 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.80/150.95 % git: non_committed_changes: true
% 150.80/150.95 % git: last_make_outside_of_git: true
% 150.80/150.95
% 150.80/150.95 %
% 150.80/150.95 % ------ Input Options
% 150.80/150.95
% 150.80/150.95 % --out_options all
% 150.80/150.95 % --tptp_safe_out true
% 150.80/150.95 % --problem_path ""
% 150.80/150.95 % --include_path ""
% 150.80/150.95 % --clausifier .//eprover
% 150.80/150.95 % --clausifier_options --tstp-format
% 150.80/150.95 % --stdin false
% 150.80/150.95 % --dbg_backtrace false
% 150.80/150.95 % --dbg_dump_prop_clauses false
% 150.80/150.95 % --dbg_dump_prop_clauses_file -
% 150.80/150.95 % --dbg_out_stat false
% 150.80/150.95
% 150.80/150.95 % ------ General Options
% 150.80/150.95
% 150.80/150.95 % --fof false
% 150.80/150.95 % --time_out_real 150.
% 150.80/150.95 % --time_out_prep_mult 0.2
% 150.80/150.95 % --time_out_virtual -1.
% 150.80/150.95 % --schedule none
% 150.80/150.95 % --ground_splitting input
% 150.80/150.95 % --splitting_nvd 16
% 150.80/150.95 % --non_eq_to_eq false
% 150.80/150.95 % --prep_gs_sim true
% 150.80/150.95 % --prep_unflatten false
% 150.80/150.95 % --prep_res_sim true
% 150.80/150.95 % --prep_upred true
% 150.80/150.95 % --res_sim_input true
% 150.80/150.95 % --clause_weak_htbl true
% 150.80/150.95 % --gc_record_bc_elim false
% 150.80/150.95 % --symbol_type_check false
% 150.80/150.95 % --clausify_out false
% 150.80/150.95 % --large_theory_mode false
% 150.80/150.95 % --prep_sem_filter none
% 150.80/150.95 % --prep_sem_filter_out false
% 150.80/150.95 % --preprocessed_out false
% 150.80/150.95 % --sub_typing false
% 150.80/150.95 % --brand_transform false
% 150.80/150.95 % --pure_diseq_elim true
% 150.80/150.95 % --min_unsat_core false
% 150.80/150.95 % --pred_elim true
% 150.80/150.95 % --add_important_lit false
% 150.80/150.95 % --soft_assumptions false
% 150.80/150.95 % --reset_solvers false
% 150.80/150.95 % --bc_imp_inh []
% 150.80/150.95 % --conj_cone_tolerance 1.5
% 150.80/150.95 % --prolific_symb_bound 500
% 150.80/150.95 % --lt_threshold 2000
% 150.80/150.95
% 150.80/150.95 % ------ SAT Options
% 150.80/150.95
% 150.80/150.95 % --sat_mode false
% 150.80/150.95 % --sat_fm_restart_options ""
% 150.80/150.95 % --sat_gr_def false
% 150.80/150.95 % --sat_epr_types true
% 150.80/150.95 % --sat_non_cyclic_types false
% 150.80/150.95 % --sat_finite_models false
% 150.80/150.95 % --sat_fm_lemmas false
% 150.80/150.95 % --sat_fm_prep false
% 150.80/150.95 % --sat_fm_uc_incr true
% 150.80/150.95 % --sat_out_model small
% 150.80/150.95 % --sat_out_clauses false
% 150.80/150.95
% 150.80/150.95 % ------ QBF Options
% 150.80/150.95
% 150.80/150.95 % --qbf_mode false
% 150.80/150.95 % --qbf_elim_univ true
% 150.80/150.95 % --qbf_sk_in true
% 150.80/150.95 % --qbf_pred_elim true
% 150.80/150.95 % --qbf_split 32
% 150.80/150.95
% 150.80/150.95 % ------ BMC1 Options
% 150.80/150.95
% 150.80/150.95 % --bmc1_incremental false
% 150.80/150.95 % --bmc1_axioms reachable_all
% 150.80/150.95 % --bmc1_min_bound 0
% 150.80/150.95 % --bmc1_max_bound -1
% 150.80/150.95 % --bmc1_max_bound_default -1
% 150.80/150.95 % --bmc1_symbol_reachability true
% 150.80/150.95 % --bmc1_property_lemmas false
% 150.80/150.95 % --bmc1_k_induction false
% 150.80/150.95 % --bmc1_non_equiv_states false
% 150.80/150.95 % --bmc1_deadlock false
% 150.80/150.95 % --bmc1_ucm false
% 150.80/150.95 % --bmc1_add_unsat_core none
% 150.80/150.95 % --bmc1_unsat_core_children false
% 150.80/150.95 % --bmc1_unsat_core_extrapolate_axioms false
% 150.80/150.95 % --bmc1_out_stat full
% 150.80/150.95 % --bmc1_ground_init false
% 150.80/150.95 % --bmc1_pre_inst_next_state false
% 150.80/150.95 % --bmc1_pre_inst_state false
% 150.80/150.95 % --bmc1_pre_inst_reach_state false
% 150.80/150.95 % --bmc1_out_unsat_core false
% 150.80/150.95 % --bmc1_aig_witness_out false
% 150.80/150.95 % --bmc1_verbose false
% 150.80/150.95 % --bmc1_dump_clauses_tptp false
% 157.58/157.73 % --bmc1_dump_unsat_core_tptp false
% 157.58/157.73 % --bmc1_dump_file -
% 157.58/157.73 % --bmc1_ucm_expand_uc_limit 128
% 157.58/157.73 % --bmc1_ucm_n_expand_iterations 6
% 157.58/157.73 % --bmc1_ucm_extend_mode 1
% 157.58/157.73 % --bmc1_ucm_init_mode 2
% 157.58/157.73 % --bmc1_ucm_cone_mode none
% 157.58/157.73 % --bmc1_ucm_reduced_relation_type 0
% 157.58/157.73 % --bmc1_ucm_relax_model 4
% 157.58/157.73 % --bmc1_ucm_full_tr_after_sat true
% 157.58/157.73 % --bmc1_ucm_expand_neg_assumptions false
% 157.58/157.73 % --bmc1_ucm_layered_model none
% 157.58/157.73 % --bmc1_ucm_max_lemma_size 10
% 157.58/157.73
% 157.58/157.73 % ------ AIG Options
% 157.58/157.73
% 157.58/157.73 % --aig_mode false
% 157.58/157.73
% 157.58/157.73 % ------ Instantiation Options
% 157.58/157.73
% 157.58/157.73 % --instantiation_flag true
% 157.58/157.73 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 157.58/157.73 % --inst_solver_per_active 750
% 157.58/157.73 % --inst_solver_calls_frac 0.5
% 157.58/157.73 % --inst_passive_queue_type priority_queues
% 157.58/157.73 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 157.58/157.73 % --inst_passive_queues_freq [25;2]
% 157.58/157.73 % --inst_dismatching true
% 157.58/157.73 % --inst_eager_unprocessed_to_passive true
% 157.58/157.73 % --inst_prop_sim_given true
% 157.58/157.73 % --inst_prop_sim_new false
% 157.58/157.73 % --inst_orphan_elimination true
% 157.58/157.73 % --inst_learning_loop_flag true
% 157.58/157.73 % --inst_learning_start 3000
% 157.58/157.73 % --inst_learning_factor 2
% 157.58/157.73 % --inst_start_prop_sim_after_learn 3
% 157.58/157.73 % --inst_sel_renew solver
% 157.58/157.73 % --inst_lit_activity_flag true
% 157.58/157.73 % --inst_out_proof true
% 157.58/157.73
% 157.58/157.73 % ------ Resolution Options
% 157.58/157.73
% 157.58/157.73 % --resolution_flag true
% 157.58/157.73 % --res_lit_sel kbo_max
% 157.58/157.73 % --res_to_prop_solver none
% 157.58/157.73 % --res_prop_simpl_new false
% 157.58/157.73 % --res_prop_simpl_given false
% 157.58/157.73 % --res_passive_queue_type priority_queues
% 157.58/157.73 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 157.58/157.73 % --res_passive_queues_freq [15;5]
% 157.58/157.73 % --res_forward_subs full
% 157.58/157.73 % --res_backward_subs full
% 157.58/157.73 % --res_forward_subs_resolution true
% 157.58/157.73 % --res_backward_subs_resolution true
% 157.58/157.73 % --res_orphan_elimination false
% 157.58/157.73 % --res_time_limit 1000.
% 157.58/157.73 % --res_out_proof true
% 157.58/157.73 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d3574a.s
% 157.58/157.73 % --modulo true
% 157.58/157.73
% 157.58/157.73 % ------ Combination Options
% 157.58/157.73
% 157.58/157.73 % --comb_res_mult 1000
% 157.58/157.73 % --comb_inst_mult 300
% 157.58/157.73 % ------
% 157.58/157.73
% 157.58/157.73 % ------ Parsing...% successful
% 157.58/157.73
% 157.58/157.73 % ------ 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 %
% 157.58/157.73
% 157.58/157.73 % ------ Proving...
% 157.58/157.73 % ------ Problem Properties
% 157.58/157.73
% 157.58/157.73 %
% 157.58/157.73 % EPR false
% 157.58/157.73 % Horn false
% 157.58/157.73 % Has equality true
% 157.58/157.73
% 157.58/157.73 % % ------ Input Options Time Limit: Unbounded
% 157.58/157.73
% 157.58/157.73
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 Compiling...
% 157.58/157.73 Loading plugin: done.
% 157.58/157.73 % % ------ Current options:
% 157.58/157.73
% 157.58/157.73 % ------ Input Options
% 157.58/157.73
% 157.58/157.73 % --out_options all
% 157.58/157.73 % --tptp_safe_out true
% 157.58/157.73 % --problem_path ""
% 157.58/157.73 % --include_path ""
% 157.58/157.73 % --clausifier .//eprover
% 157.58/157.73 % --clausifier_options --tstp-format
% 157.58/157.73 % --stdin false
% 157.58/157.73 % --dbg_backtrace false
% 157.58/157.73 % --dbg_dump_prop_clauses false
% 157.58/157.73 % --dbg_dump_prop_clauses_file -
% 157.58/157.73 % --dbg_out_stat false
% 157.58/157.73
% 157.58/157.73 % ------ General Options
% 157.58/157.73
% 157.58/157.73 % --fof false
% 157.58/157.73 % --time_out_real 150.
% 157.58/157.73 % --time_out_prep_mult 0.2
% 157.58/157.73 % --time_out_virtual -1.
% 157.58/157.73 % --schedule none
% 157.58/157.73 % --ground_splitting input
% 157.58/157.73 % --splitting_nvd 16
% 157.58/157.73 % --non_eq_to_eq false
% 157.58/157.73 % --prep_gs_sim true
% 157.58/157.73 % --prep_unflatten false
% 157.58/157.73 % --prep_res_sim true
% 157.58/157.73 % --prep_upred true
% 157.58/157.73 % --res_sim_input true
% 157.58/157.73 % --clause_weak_htbl true
% 157.58/157.73 % --gc_record_bc_elim false
% 157.58/157.73 % --symbol_type_check false
% 157.58/157.73 % --clausify_out false
% 157.58/157.73 % --large_theory_mode false
% 157.58/157.73 % --prep_sem_filter none
% 157.58/157.73 % --prep_sem_filter_out false
% 157.58/157.73 % --preprocessed_out false
% 157.58/157.73 % --sub_typing false
% 157.58/157.73 % --brand_transform false
% 157.58/157.73 % --pure_diseq_elim true
% 157.58/157.73 % --min_unsat_core false
% 157.58/157.73 % --pred_elim true
% 157.58/157.73 % --add_important_lit false
% 157.58/157.73 % --soft_assumptions false
% 157.58/157.73 % --reset_solvers false
% 157.58/157.73 % --bc_imp_inh []
% 157.58/157.73 % --conj_cone_tolerance 1.5
% 157.58/157.73 % --prolific_symb_bound 500
% 157.58/157.73 % --lt_threshold 2000
% 157.58/157.73
% 157.58/157.73 % ------ SAT Options
% 157.58/157.73
% 157.58/157.73 % --sat_mode false
% 157.58/157.73 % --sat_fm_restart_options ""
% 157.58/157.73 % --sat_gr_def false
% 157.58/157.73 % --sat_epr_types true
% 157.58/157.73 % --sat_non_cyclic_types false
% 157.58/157.73 % --sat_finite_models false
% 157.58/157.73 % --sat_fm_lemmas false
% 157.58/157.73 % --sat_fm_prep false
% 157.58/157.73 % --sat_fm_uc_incr true
% 157.58/157.73 % --sat_out_model small
% 157.58/157.73 % --sat_out_clauses false
% 157.58/157.73
% 157.58/157.73 % ------ QBF Options
% 157.58/157.73
% 157.58/157.73 % --qbf_mode false
% 157.58/157.73 % --qbf_elim_univ true
% 157.58/157.73 % --qbf_sk_in true
% 157.58/157.73 % --qbf_pred_elim true
% 157.58/157.73 % --qbf_split 32
% 157.58/157.73
% 157.58/157.73 % ------ BMC1 Options
% 157.58/157.73
% 157.58/157.73 % --bmc1_incremental false
% 157.58/157.73 % --bmc1_axioms reachable_all
% 157.58/157.73 % --bmc1_min_bound 0
% 157.58/157.73 % --bmc1_max_bound -1
% 157.58/157.73 % --bmc1_max_bound_default -1
% 157.58/157.73 % --bmc1_symbol_reachability true
% 157.58/157.73 % --bmc1_property_lemmas false
% 157.58/157.73 % --bmc1_k_induction false
% 157.58/157.73 % --bmc1_non_equiv_states false
% 157.58/157.73 % --bmc1_deadlock false
% 157.58/157.73 % --bmc1_ucm false
% 157.58/157.73 % --bmc1_add_unsat_core none
% 157.58/157.73 % --bmc1_unsat_core_children false
% 157.58/157.73 % --bmc1_unsat_core_extrapolate_axioms false
% 157.58/157.73 % --bmc1_out_stat full
% 157.58/157.73 % --bmc1_ground_init false
% 157.58/157.73 % --bmc1_pre_inst_next_state false
% 157.58/157.73 % --bmc1_pre_inst_state false
% 157.58/157.73 % --bmc1_pre_inst_reach_state false
% 157.58/157.73 % --bmc1_out_unsat_core false
% 157.58/157.73 % --bmc1_aig_witness_out false
% 157.58/157.73 % --bmc1_verbose false
% 157.58/157.73 % --bmc1_dump_clauses_tptp false
% 157.58/157.73 % --bmc1_dump_unsat_core_tptp false
% 157.58/157.73 % --bmc1_dump_file -
% 157.58/157.73 % --bmc1_ucm_expand_uc_limit 128
% 157.58/157.73 % --bmc1_ucm_n_expand_iterations 6
% 157.58/157.73 % --bmc1_ucm_extend_mode 1
% 157.58/157.73 % --bmc1_ucm_init_mode 2
% 157.58/157.73 % --bmc1_ucm_cone_mode none
% 157.58/157.74 % --bmc1_ucm_reduced_relation_type 0
% 157.58/157.74 % --bmc1_ucm_relax_model 4
% 157.58/157.74 % --bmc1_ucm_full_tr_after_sat true
% 157.58/157.74 % --bmc1_ucm_expand_neg_assumptions false
% 157.58/157.74 % --bmc1_ucm_layered_model none
% 157.58/157.74 % --bmc1_ucm_max_lemma_size 10
% 157.58/157.74
% 157.58/157.74 % ------ AIG Options
% 157.58/157.74
% 157.58/157.74 % --aig_mode false
% 157.58/157.74
% 157.58/157.74 % ------ Instantiation Options
% 157.58/157.74
% 157.58/157.74 % --instantiation_flag true
% 157.58/157.74 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 157.58/157.74 % --inst_solver_per_active 750
% 157.58/157.74 % --inst_solver_calls_frac 0.5
% 157.58/157.74 % --inst_passive_queue_type priority_queues
% 157.58/157.74 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 157.58/157.74 % --inst_passive_queues_freq [25;2]
% 157.58/157.74 % --inst_dismatching true
% 157.58/157.74 % --inst_eager_unprocessed_to_passive true
% 157.58/157.74 % --inst_prop_sim_given true
% 157.58/157.74 % --inst_prop_sim_new false
% 157.58/157.74 % --inst_orphan_elimination true
% 157.58/157.74 % --inst_learning_loop_flag true
% 157.58/157.74 % --inst_learning_start 3000
% 157.58/157.74 % --inst_learning_factor 2
% 157.58/157.74 % --inst_start_prop_sim_after_learn 3
% 157.58/157.74 % --inst_sel_renew solver
% 157.58/157.74 % --inst_lit_activity_flag true
% 157.58/157.74 % --inst_out_proof true
% 157.58/157.74
% 157.58/157.74 % ------ Resolution Options
% 157.58/157.74
% 157.58/157.74 % --resolution_flag true
% 157.58/157.74 % --res_lit_sel kbo_max
% 157.58/157.74 % --res_to_prop_solver none
% 157.58/157.74 % --res_prop_simpl_new false
% 157.58/157.74 % --res_prop_simpl_given false
% 157.58/157.74 % --res_passive_queue_type priority_queues
% 157.58/157.74 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 157.58/157.74 % --res_passive_queues_freq [15;5]
% 157.58/157.74 % --res_forward_subs full
% 157.58/157.74 % --res_backward_subs full
% 157.58/157.74 % --res_forward_subs_resolution true
% 157.58/157.74 % --res_backward_subs_resolution true
% 157.58/157.74 % --res_orphan_elimination false
% 157.58/157.74 % --res_time_limit 1000.
% 157.58/157.74 % --res_out_proof true
% 157.58/157.74 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d3574a.s
% 157.58/157.74 % --modulo true
% 157.58/157.74
% 157.58/157.74 % ------ Combination Options
% 157.58/157.74
% 157.58/157.74 % --comb_res_mult 1000
% 157.58/157.74 % --comb_inst_mult 300
% 157.58/157.74 % ------
% 157.58/157.74
% 157.58/157.74
% 157.58/157.74
% 157.58/157.74 % ------ Proving...
% 157.58/157.74 % warning: shown sat in sat incomplete mode
% 157.58/157.74 %
% 157.58/157.74
% 157.58/157.74
% 157.58/157.74
% 157.58/157.74
% 157.58/157.74 cnf(c_2637,negated_conjecture,
% 157.58/157.74 ( ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),v_u____)),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_3417,negated_conjecture,
% 157.58/157.74 ( ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),v_u____)),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2637]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_3421,negated_conjecture,
% 157.58/157.74 ( ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),v_u____)),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_3417]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_3422,negated_conjecture,
% 157.58/157.74 ( ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),v_u____)),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_3421]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_3423,negated_conjecture,
% 157.58/157.74 ( ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),v_u____)),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_3422]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_11152,negated_conjecture,
% 157.58/157.74 ( ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),v_u____)),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_3423]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_11153,plain,
% 157.58/157.74 ( ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),v_u____)),v_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_11152]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2634,plain,
% 157.58/157.74 ( X0 = X1
% 157.58/157.74 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB)),X0))
% 157.58/157.74 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB)),X1)) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4621_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_11146,plain,
% 157.58/157.74 ( X0 = X1
% 157.58/157.74 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB)),X0))
% 157.58/157.74 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB)),X1)) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2634]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_11147,plain,
% 157.58/157.74 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))
% 157.58/157.74 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X4))
% 157.58/157.74 | X3 = X4 ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_11146]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2631,plain,
% 157.58/157.74 ( hBOOL(hAPP(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)))
% 157.58/157.74 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.58/157.74 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4623_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_11140,plain,
% 157.58/157.74 ( hBOOL(hAPP(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)))
% 157.58/157.74 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.58/157.74 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2631]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_11141,plain,
% 157.58/157.74 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.58/157.74 | hBOOL(hAPP(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)))
% 157.58/157.74 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_11140]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2538,plain,
% 157.58/157.74 ( c_Type_Otypings(X0,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 157.58/157.74 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X1),X5))
% 157.58/157.74 | ~ c_Type_Otypings(hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X2),X5),X3,X4) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4670_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10954,plain,
% 157.58/157.74 ( c_Type_Otypings(X0,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 157.58/157.74 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X1),X5))
% 157.58/157.74 | ~ c_Type_Otypings(hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X2),X5),X3,X4) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2538]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10955,plain,
% 157.58/157.74 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X1),X2))
% 157.58/157.74 | ~ c_Type_Otypings(hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X3),X2),X4,X5)
% 157.58/157.74 | c_Type_Otypings(X0,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),X1)),X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10954]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2527,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4677_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10932,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2527]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10933,plain,
% 157.58/157.74 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 157.58/157.74 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10932]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2521,plain,
% 157.58/157.74 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 157.58/157.74 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4679_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10920,plain,
% 157.58/157.74 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 157.58/157.74 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2521]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10921,plain,
% 157.58/157.74 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 157.58/157.74 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10920]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2515,plain,
% 157.58/157.74 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 157.58/157.74 | ~ c_lessequals(X0,X3,tc_nat)
% 157.58/157.74 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4681_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10908,plain,
% 157.58/157.74 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 157.58/157.74 | ~ c_lessequals(X0,X3,tc_nat)
% 157.58/157.74 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2515]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10909,plain,
% 157.58/157.74 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 157.58/157.74 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 157.58/157.74 | ~ c_lessequals(X0,X3,tc_nat) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10908]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2509,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 157.58/157.74 | ~ c_lessequals(X3,X0,tc_nat)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4683_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10896,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 157.58/157.74 | ~ c_lessequals(X3,X0,tc_nat)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2509]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10897,plain,
% 157.58/157.74 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat)
% 157.58/157.74 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10896]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2506,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 157.58/157.74 | ~ c_lessequals(X0,X3,tc_nat)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4684_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10890,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 157.58/157.74 | ~ c_lessequals(X0,X3,tc_nat)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2506]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10891,plain,
% 157.58/157.74 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.74 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10890]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2503,plain,
% 157.58/157.74 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3)),X4))
% 157.58/157.74 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X3),X5)),X1),X4))
% 157.58/157.74 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X2),X5)) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4685_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10884,plain,
% 157.58/157.74 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3)),X4))
% 157.58/157.74 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X3),X5)),X1),X4))
% 157.58/157.74 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X2),X5)) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2503]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10885,plain,
% 157.58/157.74 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),X2)),X3),X4))
% 157.58/157.74 | hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X5),X1)),X4))
% 157.58/157.74 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X5),X2)) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10884]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2497,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X1)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),X1)
% 157.58/157.74 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4687_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10872,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X1)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),X1)
% 157.58/157.74 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2497]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10873,plain,
% 157.58/157.74 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 157.58/157.74 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10872]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2491,plain,
% 157.58/157.74 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X1)
% 157.58/157.74 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),X1)
% 157.58/157.74 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4689_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10860,plain,
% 157.58/157.74 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X1)
% 157.58/157.74 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),X1)
% 157.58/157.74 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2491]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10861,plain,
% 157.58/157.74 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 157.58/157.74 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10860]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2471,plain,
% 157.58/157.74 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 157.58/157.74 | ~ c_lessequals(X1,X0,tc_nat)
% 157.58/157.74 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4699_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10820,plain,
% 157.58/157.74 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 157.58/157.74 | ~ c_lessequals(X1,X0,tc_nat)
% 157.58/157.74 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2471]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10821,plain,
% 157.58/157.74 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 157.58/157.74 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 157.58/157.74 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10820]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2468,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 157.58/157.74 | ~ c_lessequals(X1,X0,tc_nat)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4700_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10814,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 157.58/157.74 | ~ c_lessequals(X1,X0,tc_nat)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2468]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10815,plain,
% 157.58/157.74 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.74 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10814]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2465,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 157.58/157.74 | ~ c_lessequals(X2,X1,tc_nat)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4701_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10808,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 157.58/157.74 | ~ c_lessequals(X2,X1,tc_nat)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2465]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10809,plain,
% 157.58/157.74 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 157.58/157.74 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10808]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2445,plain,
% 157.58/157.74 ( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) != X3
% 157.58/157.74 | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0
% 157.58/157.74 | c_List_Oappend(X2,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) = c_List_Oappend(X0,X3,X1)
% 157.58/157.74 | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2 ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4716_1) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10768,plain,
% 157.58/157.74 ( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) != X3
% 157.58/157.74 | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0
% 157.58/157.74 | c_List_Oappend(X2,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) = c_List_Oappend(X0,X3,X1)
% 157.58/157.74 | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2 ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2445]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10769,plain,
% 157.58/157.74 ( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) != X3
% 157.58/157.74 | c_List_Oappend(X2,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) = c_List_Oappend(X0,X3,X1)
% 157.58/157.74 | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0
% 157.58/157.74 | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2 ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10768]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2426,plain,
% 157.58/157.74 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4)
% 157.58/157.74 | ~ c_lessequals(X2,X1,tc_nat)
% 157.58/157.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4724_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10730,plain,
% 157.58/157.74 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4)
% 157.58/157.74 | ~ c_lessequals(X2,X1,tc_nat)
% 157.58/157.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2426]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10731,plain,
% 157.58/157.74 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4)
% 157.58/157.74 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10730]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2423,plain,
% 157.58/157.74 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3) = X4
% 157.58/157.74 | ~ c_lessequals(X1,X0,tc_nat)
% 157.58/157.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4725_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10724,plain,
% 157.58/157.74 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3) = X4
% 157.58/157.74 | ~ c_lessequals(X1,X0,tc_nat)
% 157.58/157.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2423]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10725,plain,
% 157.58/157.74 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3) = X4
% 157.58/157.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10724]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2398,plain,
% 157.58/157.74 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.58/157.74 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4740_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10674,plain,
% 157.58/157.74 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.58/157.74 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2398]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10675,plain,
% 157.58/157.74 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.74 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10674]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2395,plain,
% 157.58/157.74 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.58/157.74 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4741_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10668,plain,
% 157.58/157.74 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.58/157.74 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2395]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10669,plain,
% 157.58/157.74 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10668]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2354,plain,
% 157.58/157.74 ( c_List_Oappend(X0,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) = c_List_Oappend(X2,X3,X1)
% 157.58/157.74 | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 157.58/157.74 | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4760_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10586,plain,
% 157.58/157.74 ( c_List_Oappend(X0,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) = c_List_Oappend(X2,X3,X1)
% 157.58/157.74 | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 157.58/157.74 | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2354]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10587,plain,
% 157.58/157.74 ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 157.58/157.74 | c_List_Oappend(X0,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) = c_List_Oappend(X2,X3,X1)
% 157.58/157.74 | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10586]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2343,plain,
% 157.58/157.74 ( c_List_Oappend(X0,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) = c_List_Oappend(X2,X3,X1)
% 157.58/157.74 | c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 157.58/157.74 | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4773_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10564,plain,
% 157.58/157.74 ( c_List_Oappend(X0,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) = c_List_Oappend(X2,X3,X1)
% 157.58/157.74 | c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 157.58/157.74 | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2343]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10565,plain,
% 157.58/157.74 ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 157.58/157.74 | c_List_Oappend(X2,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) = c_List_Oappend(X0,X3,X1)
% 157.58/157.74 | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2 ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10564]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2336,plain,
% 157.58/157.74 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.58/157.74 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),X1)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4779_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10550,plain,
% 157.58/157.74 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.58/157.74 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),X1)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2336]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10551,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.74 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10550]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2333,plain,
% 157.58/157.74 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.58/157.74 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),X1)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4780_2) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10544,plain,
% 157.58/157.74 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.58/157.74 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),X1)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2333]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10545,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10544]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2315,plain,
% 157.58/157.74 ( ~ hBOOL(hAPP(X0,X1))
% 157.58/157.74 | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X0),X1))
% 157.58/157.74 | ~ hBOOL(hAPP(X3,X1)) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4791_1) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10508,plain,
% 157.58/157.74 ( ~ hBOOL(hAPP(X0,X1))
% 157.58/157.74 | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X0),X1))
% 157.58/157.74 | ~ hBOOL(hAPP(X3,X1)) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2315]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10509,plain,
% 157.58/157.74 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3))
% 157.58/157.74 | ~ hBOOL(hAPP(X2,X3))
% 157.58/157.74 | ~ hBOOL(hAPP(X1,X3)) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10508]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2310,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4792_3) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10498,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2310]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10499,plain,
% 157.58/157.74 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.74 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10498]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2308,plain,
% 157.58/157.74 ( ~ 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)
% 157.58/157.74 | ~ c_lessequals(X1,X2,tc_nat)
% 157.58/157.74 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 157.58/157.74 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4796_1) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10494,plain,
% 157.58/157.74 ( ~ 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)
% 157.58/157.74 | ~ c_lessequals(X1,X2,tc_nat)
% 157.58/157.74 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 157.58/157.74 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2308]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10495,plain,
% 157.58/157.74 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.74 | ~ c_lessequals(X0,X2,tc_nat)
% 157.58/157.74 | ~ 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)
% 157.58/157.74 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10494]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2306,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.58/157.74 | ~ c_lessequals(X2,X0,tc_nat)
% 157.58/157.74 | ~ c_lessequals(X2,X1,tc_nat)
% 157.58/157.74 | ~ 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) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4796_3) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10490,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.58/157.74 | ~ c_lessequals(X2,X0,tc_nat)
% 157.58/157.74 | ~ c_lessequals(X2,X1,tc_nat)
% 157.58/157.74 | ~ 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) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2306]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10491,plain,
% 157.58/157.74 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.74 | ~ c_lessequals(X0,X2,tc_nat)
% 157.58/157.74 | ~ 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)
% 157.58/157.74 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10490]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2300,plain,
% 157.58/157.74 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.74 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4798_1) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10478,plain,
% 157.58/157.74 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.74 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2300]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10479,plain,
% 157.58/157.74 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.74 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10478]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2296,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 157.58/157.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.58/157.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4798_5) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10470,plain,
% 157.58/157.74 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 157.58/157.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.74 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.58/157.74 inference(copy,[status(esa)],[c_2296]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_10471,plain,
% 157.58/157.74 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.74 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.74 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 157.58/157.74 inference(rewriting,[status(thm)],[c_10470]) ).
% 157.58/157.74
% 157.58/157.74 cnf(c_2294,plain,
% 157.58/157.74 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | ~ c_lessequals(X1,X3,X0)
% 157.58/157.75 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 157.58/157.75 | ~ c_lessequals(X2,X4,X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4799_1) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10466,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | ~ c_lessequals(X1,X3,X0)
% 157.58/157.75 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 157.58/157.75 | ~ c_lessequals(X2,X4,X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2294]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10467,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.58/157.75 | ~ c_lessequals(X1,X4,X0)
% 157.58/157.75 | ~ c_lessequals(X2,X3,X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10466]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2290,plain,
% 157.58/157.75 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.58/157.75 | ~ c_lessequals(X1,X3,X0)
% 157.58/157.75 | ~ c_lessequals(X2,X4,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4799_5) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10458,plain,
% 157.58/157.75 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.58/157.75 | ~ c_lessequals(X1,X3,X0)
% 157.58/157.75 | ~ c_lessequals(X2,X4,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2290]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10459,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.58/157.75 | ~ c_lessequals(X1,X3,X0)
% 157.58/157.75 | ~ c_lessequals(X2,X4,X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10458]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2288,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | ~ c_lessequals(X1,X3,X0)
% 157.58/157.75 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 157.58/157.75 | ~ c_lessequals(X4,X2,X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4800_1) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10454,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | ~ c_lessequals(X1,X3,X0)
% 157.58/157.75 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 157.58/157.75 | ~ c_lessequals(X4,X2,X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2288]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10455,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 157.58/157.75 | ~ c_lessequals(X1,X4,X0)
% 157.58/157.75 | ~ c_lessequals(X3,X2,X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10454]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2284,plain,
% 157.58/157.75 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.58/157.75 | ~ c_lessequals(X1,X3,X0)
% 157.58/157.75 | ~ c_lessequals(X2,X4,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4800_5) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10446,plain,
% 157.58/157.75 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.58/157.75 | ~ c_lessequals(X1,X3,X0)
% 157.58/157.75 | ~ c_lessequals(X2,X4,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2284]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10447,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4),X0)
% 157.58/157.75 | ~ c_lessequals(X3,X1,X0)
% 157.58/157.75 | ~ c_lessequals(X2,X4,X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10446]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2278,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.58/157.75 | ~ c_lessequals(X1,X3,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4801_5) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10434,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.58/157.75 | ~ c_lessequals(X1,X3,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2278]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10435,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(X2,X3,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10434]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2272,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.75 | ~ c_lessequals(X2,X4,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4802_5) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10422,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.75 | ~ c_lessequals(X2,X4,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2272]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10423,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(X2,X3,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10422]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2270,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4803_1) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10418,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2270]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10419,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10418]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2245,plain,
% 157.58/157.75 ( X0 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2)
% 157.58/157.75 | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
% 157.58/157.75 | c_List_Oappend(X1,X0,X2) != c_List_Oappend(X3,X4,X2) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4813_2) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10368,plain,
% 157.58/157.75 ( X0 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2)
% 157.58/157.75 | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
% 157.58/157.75 | c_List_Oappend(X1,X0,X2) != c_List_Oappend(X3,X4,X2) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2245]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10369,plain,
% 157.58/157.75 ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 157.58/157.75 | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1)
% 157.58/157.75 | X3 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X4,X1) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10368]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2224,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4821_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10326,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2224]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10327,plain,
% 157.58/157.75 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10326]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2220,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4822_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10318,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2220]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10319,plain,
% 157.58/157.75 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10318]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2212,plain,
% 157.58/157.75 ( c_lessequals(X0,X1,X2)
% 157.58/157.75 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4824_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10302,plain,
% 157.58/157.75 ( c_lessequals(X0,X1,X2)
% 157.58/157.75 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2212]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10303,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.75 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.58/157.75 | c_lessequals(X1,X3,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10302]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2208,plain,
% 157.58/157.75 ( c_lessequals(X0,X1,X2)
% 157.58/157.75 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4825_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10294,plain,
% 157.58/157.75 ( c_lessequals(X0,X1,X2)
% 157.58/157.75 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2208]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10295,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.75 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.75 | c_lessequals(X2,X3,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10294]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2204,plain,
% 157.58/157.75 ( c_lessequals(X0,X1,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.58/157.75 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4826_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10286,plain,
% 157.58/157.75 ( c_lessequals(X0,X1,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.58/157.75 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2204]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10287,plain,
% 157.58/157.75 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.75 | c_lessequals(X2,X3,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10286]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2200,plain,
% 157.58/157.75 ( c_lessequals(X0,X1,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 157.58/157.75 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4827_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10278,plain,
% 157.58/157.75 ( c_lessequals(X0,X1,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 157.58/157.75 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2200]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10279,plain,
% 157.58/157.75 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.75 | c_lessequals(X3,X2,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10278]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2168,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4835_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10214,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2168]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10215,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10214]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2155,plain,
% 157.58/157.75 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.58/157.75 | ~ c_lessequals(X3,X2,tc_nat)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4844_4) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10188,plain,
% 157.58/157.75 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.58/157.75 | ~ c_lessequals(X3,X2,tc_nat)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2155]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10189,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.58/157.75 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.75 | ~ c_lessequals(X3,X2,tc_nat) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10188]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2150,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4845_4) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10178,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2150]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10179,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10178]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2142,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4848_4) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10162,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2142]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10163,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 157.58/157.75 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10162]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2138,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4849_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10154,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2138]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10155,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10154]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2134,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4850_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10146,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2134]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10147,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10146]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2120,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4859_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10118,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2120]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10119,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10118]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2116,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4860_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10110,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2116]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10111,plain,
% 157.58/157.75 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10110]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2112,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4861_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10102,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2112]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10103,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10102]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2108,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4862_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10094,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2108]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10095,plain,
% 157.58/157.75 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10094]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2107,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4863_0) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10092,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2107]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10093,plain,
% 157.58/157.75 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10092]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2104,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4863_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10086,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2104]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10087,plain,
% 157.58/157.75 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10086]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2103,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4864_0) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10084,plain,
% 157.58/157.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2103]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10085,plain,
% 157.58/157.75 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10084]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2100,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4864_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10078,plain,
% 157.58/157.75 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2100]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10079,plain,
% 157.58/157.75 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.58/157.75 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.58/157.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10078]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2086,plain,
% 157.58/157.75 ( ~ c_List_Olistsp(X0,X1,X2)
% 157.58/157.75 | c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X0),X1,X2)
% 157.58/157.75 | ~ c_List_Olistsp(X3,X1,X2) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4871_1) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10050,plain,
% 157.58/157.75 ( ~ c_List_Olistsp(X0,X1,X2)
% 157.58/157.75 | c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X0),X1,X2)
% 157.58/157.75 | ~ c_List_Olistsp(X3,X1,X2) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2086]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10051,plain,
% 157.58/157.75 ( c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3,X0)
% 157.58/157.75 | ~ c_List_Olistsp(X2,X3,X0)
% 157.58/157.75 | ~ c_List_Olistsp(X1,X3,X0) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10050]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2083,plain,
% 157.58/157.75 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.58/157.75 | ~ c_lessequals(X2,X1,tc_nat)
% 157.58/157.75 | 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)
% 157.58/157.75 | ~ c_lessequals(X2,X0,tc_nat) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4872_1) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10044,plain,
% 157.58/157.75 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.58/157.75 | ~ c_lessequals(X2,X1,tc_nat)
% 157.58/157.75 | 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)
% 157.58/157.75 | ~ c_lessequals(X2,X0,tc_nat) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2083]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10045,plain,
% 157.58/157.75 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.75 | ~ c_lessequals(X0,X2,tc_nat)
% 157.58/157.75 | 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)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10044]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2081,plain,
% 157.58/157.75 ( 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)
% 157.58/157.75 | ~ c_lessequals(X1,X0,tc_nat)
% 157.58/157.75 | ~ c_lessequals(X1,X2,tc_nat)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4872_3) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10040,plain,
% 157.58/157.75 ( 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)
% 157.58/157.75 | ~ c_lessequals(X1,X0,tc_nat)
% 157.58/157.75 | ~ c_lessequals(X1,X2,tc_nat)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2081]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10041,plain,
% 157.58/157.75 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.75 | ~ c_lessequals(X0,X2,tc_nat)
% 157.58/157.75 | 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)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.58/157.75 inference(rewriting,[status(thm)],[c_10040]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_2065,plain,
% 157.58/157.75 ( c_lessequals(X0,X1,tc_nat)
% 157.58/157.75 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 157.58/157.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4877_2) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10008,plain,
% 157.58/157.75 ( c_lessequals(X0,X1,tc_nat)
% 157.58/157.75 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat)
% 157.58/157.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 157.58/157.75 inference(copy,[status(esa)],[c_2065]) ).
% 157.58/157.75
% 157.58/157.75 cnf(c_10009,plain,
% 157.58/157.75 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 157.58/157.76 | c_lessequals(X0,X2,tc_nat)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_10008]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_2051,plain,
% 157.58/157.76 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.58/157.76 | ~ c_lessequals(X1,X2,X0)
% 157.58/157.76 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 157.58/157.76 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4885_0) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9980,plain,
% 157.58/157.76 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.58/157.76 | ~ c_lessequals(X1,X2,X0)
% 157.58/157.76 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 157.58/157.76 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_2051]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9981,plain,
% 157.58/157.76 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.58/157.76 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 157.58/157.76 | ~ c_lessequals(X3,X4,X1)
% 157.58/157.76 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9980]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_2038,plain,
% 157.58/157.76 ( 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)
% 157.58/157.76 | ~ c_lessequals(X1,X0,tc_nat)
% 157.58/157.76 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4892_2) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9954,plain,
% 157.58/157.76 ( 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)
% 157.58/157.76 | ~ c_lessequals(X1,X0,tc_nat)
% 157.58/157.76 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_2038]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9955,plain,
% 157.58/157.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.76 | ~ c_lessequals(X0,X2,tc_nat)
% 157.58/157.76 | 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) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9954]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_2029,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 157.58/157.76 | ~ c_lessequals(X1,X2,tc_nat)
% 157.58/157.76 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4896_2) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9936,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 157.58/157.76 | ~ c_lessequals(X1,X2,tc_nat)
% 157.58/157.76 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_2029]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9937,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 157.58/157.76 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 157.58/157.76 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9936]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_2025,plain,
% 157.58/157.76 ( ~ c_Lambda_Obeta(X0,X1)
% 157.58/157.76 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X0),X3))
% 157.58/157.76 | hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X1),X3)) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4898_0) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9928,plain,
% 157.58/157.76 ( ~ c_Lambda_Obeta(X0,X1)
% 157.58/157.76 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X0),X3))
% 157.58/157.76 | hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X1),X3)) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_2025]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9929,plain,
% 157.58/157.76 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X1),X2))
% 157.58/157.76 | hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),X2))
% 157.58/157.76 | ~ c_Lambda_Obeta(X1,X3) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9928]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_2008,plain,
% 157.58/157.76 ( c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) = X0
% 157.58/157.76 | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 157.58/157.76 | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4903_2) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9894,plain,
% 157.58/157.76 ( c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) = X0
% 157.58/157.76 | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 157.58/157.76 | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_2008]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9895,plain,
% 157.58/157.76 ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 157.58/157.76 | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1)
% 157.58/157.76 | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) = X0 ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9894]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_2001,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.76 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 157.58/157.76 | X1 = X3
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4907_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9880,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.76 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 157.58/157.76 | X1 = X3
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_2001]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9881,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 157.58/157.76 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 157.58/157.76 | X2 = X1 ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9880]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1997,plain,
% 157.58/157.76 ( X0 = X1
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 157.58/157.76 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4907_5) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9872,plain,
% 157.58/157.76 ( X0 = X1
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 157.58/157.76 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1997]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9873,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 157.58/157.76 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3)
% 157.58/157.76 | X1 = X2 ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9872]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1993,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4910_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9864,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1993]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9865,plain,
% 157.58/157.76 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9864]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1990,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4910_4) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9858,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1990]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9859,plain,
% 157.58/157.76 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9858]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1988,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4911_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9854,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1988]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9855,plain,
% 157.58/157.76 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9854]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1985,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4911_4) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9848,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1985]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9849,plain,
% 157.58/157.76 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X1,X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9848]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1969,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.76 | ~ c_lessequals(X3,X2,X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4915_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9816,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.76 | ~ c_lessequals(X3,X2,X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1969]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9817,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(X3,X2,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9816]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1965,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.58/157.76 | ~ c_lessequals(X3,X1,X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4916_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9808,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.58/157.76 | ~ c_lessequals(X3,X1,X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1965]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9809,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(X3,X1,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9808]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1953,plain,
% 157.58/157.76 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4919_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9784,plain,
% 157.58/157.76 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1953]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9785,plain,
% 157.58/157.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9784]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1925,plain,
% 157.58/157.76 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4926_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9728,plain,
% 157.58/157.76 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1925]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9729,plain,
% 157.58/157.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9728]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1917,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(X2,X3,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4928_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9712,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(X2,X3,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1917]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9713,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.76 | ~ c_lessequals(X2,X3,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9712]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1913,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(X3,X2,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4929_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9704,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(X3,X2,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1913]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9705,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.58/157.76 | ~ c_lessequals(X3,X2,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9704]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1905,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(X2,X3,tc_nat)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4932_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9688,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(X2,X3,tc_nat)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1905]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9689,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.58/157.76 | ~ c_lessequals(X2,X3,tc_nat)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9688]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1883,plain,
% 157.58/157.76 ( 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)
% 157.58/157.76 | ~ c_lessequals(X1,X3,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 157.58/157.76 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4939_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9644,plain,
% 157.58/157.76 ( 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)
% 157.58/157.76 | ~ c_lessequals(X1,X3,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 157.58/157.76 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1883]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9645,plain,
% 157.58/157.76 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.58/157.76 | ~ c_lessequals(X1,X2,X0)
% 157.58/157.76 | 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)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9644]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1881,plain,
% 157.58/157.76 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.58/157.76 | 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)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4940_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9640,plain,
% 157.58/157.76 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.58/157.76 | 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)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1881]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9641,plain,
% 157.58/157.76 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.58/157.76 | 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)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9640]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1877,plain,
% 157.58/157.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 157.58/157.76 | ~ c_lessequals(X1,X2,X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 157.58/157.76 | ~ c_lessequals(X3,X4,X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4941_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9632,plain,
% 157.58/157.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 157.58/157.76 | ~ c_lessequals(X1,X2,X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 157.58/157.76 | ~ c_lessequals(X3,X4,X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1877]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9633,plain,
% 157.58/157.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 157.58/157.76 | ~ c_lessequals(X2,X4,X0)
% 157.58/157.76 | ~ c_lessequals(X1,X3,X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9632]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1863,plain,
% 157.58/157.76 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.58/157.76 | 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)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4948_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9604,plain,
% 157.58/157.76 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.58/157.76 | 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)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1863]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9605,plain,
% 157.58/157.76 ( 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)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9604]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1852,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4954_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9582,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1852]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9583,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9582]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1850,plain,
% 157.58/157.76 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4954_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9578,plain,
% 157.58/157.76 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1850]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9579,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9578]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1848,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4955_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9574,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1848]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9575,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9574]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1846,plain,
% 157.58/157.76 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4955_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9570,plain,
% 157.58/157.76 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1846]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9571,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9570]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1788,plain,
% 157.58/157.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1),tc_nat)
% 157.58/157.76 | ~ c_lessequals(X2,X3,tc_nat) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4983_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9454,plain,
% 157.58/157.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1),tc_nat)
% 157.58/157.76 | ~ c_lessequals(X2,X3,tc_nat) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1788]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9455,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat)
% 157.58/157.76 | ~ c_lessequals(X1,X3,tc_nat)
% 157.58/157.76 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9454]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1785,plain,
% 157.58/157.76 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.58/157.76 | 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)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4984_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9448,plain,
% 157.58/157.76 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.58/157.76 | 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)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1785]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9449,plain,
% 157.58/157.76 ( 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)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9448]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1782,plain,
% 157.58/157.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.76 | 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)
% 157.58/157.76 | ~ c_lessequals(X2,X3,tc_nat) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4985_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9442,plain,
% 157.58/157.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.76 | 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)
% 157.58/157.76 | ~ c_lessequals(X2,X3,tc_nat) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1782]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9443,plain,
% 157.58/157.76 ( 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)
% 157.58/157.76 | ~ c_lessequals(X1,X3,tc_nat)
% 157.58/157.76 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9442]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1772,plain,
% 157.58/157.76 ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 157.58/157.76 | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) = X2
% 157.58/157.76 | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4989_2) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9422,plain,
% 157.58/157.76 ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 157.58/157.76 | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) = X2
% 157.58/157.76 | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1772]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9423,plain,
% 157.58/157.76 ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 157.58/157.76 | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1)
% 157.58/157.76 | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) = X2 ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9422]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1758,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4995_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9394,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1758]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9395,plain,
% 157.58/157.76 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9394]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1754,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4996_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9386,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1754]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9387,plain,
% 157.58/157.76 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9386]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1750,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4997_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9378,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1750]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9379,plain,
% 157.58/157.76 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9378]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1746,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4998_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9370,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1746]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9371,plain,
% 157.58/157.76 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9370]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1742,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4999_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9362,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1742]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9363,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9362]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1741,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5000_0) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9360,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1741]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9361,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9360]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1737,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5001_0) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9352,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1737]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9353,plain,
% 157.58/157.76 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9352]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1734,plain,
% 157.58/157.76 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 157.58/157.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 157.58/157.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5001_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9346,plain,
% 157.58/157.76 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 157.58/157.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 157.58/157.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1734]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9347,plain,
% 157.58/157.76 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9346]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1730,plain,
% 157.58/157.76 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 157.58/157.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5002_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9338,plain,
% 157.58/157.76 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 157.58/157.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1730]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9339,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9338]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1725,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.76 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Suc(X2))
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 157.58/157.76 | X1 = X3
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5004_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9328,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.76 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Suc(X2))
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 157.58/157.76 | X1 = X3
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1725]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9329,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Suc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X3))
% 157.58/157.76 | X2 = X1 ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9328]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1722,plain,
% 157.58/157.76 ( X0 = X1
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 157.58/157.76 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),c_Suc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Suc(X3))
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5004_4) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9322,plain,
% 157.58/157.76 ( X0 = X1
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 157.58/157.76 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),c_Suc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Suc(X3))
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1722]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9323,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Suc(X3))
% 157.58/157.76 | X1 = X2 ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9322]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1704,plain,
% 157.58/157.76 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5015_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9286,plain,
% 157.58/157.76 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1704]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9287,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),c_HOL_Oone__class_Oone(X0),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9286]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1680,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5029_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9238,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1680]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9239,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9238]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1672,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5031_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9222,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1672]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9223,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9222]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1668,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5032_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9214,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1668]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9215,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9214]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1664,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5033_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9206,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1664]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9207,plain,
% 157.58/157.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9206]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1660,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5034_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9198,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1660]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9199,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 157.58/157.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9198]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1656,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5035_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9190,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1656]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9191,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9190]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1652,plain,
% 157.58/157.76 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5036_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9182,plain,
% 157.58/157.76 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1652]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9183,plain,
% 157.58/157.76 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9182]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1642,plain,
% 157.58/157.76 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5038_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9162,plain,
% 157.58/157.76 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1642]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9163,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9162]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1636,plain,
% 157.58/157.76 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5040_1) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9150,plain,
% 157.58/157.76 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1636]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9151,plain,
% 157.58/157.76 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.58/157.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9150]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1614,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5045_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9106,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1614]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9107,plain,
% 157.58/157.76 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.76 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.76 inference(rewriting,[status(thm)],[c_9106]) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_1610,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5046_3) ).
% 157.58/157.76
% 157.58/157.76 cnf(c_9098,plain,
% 157.58/157.76 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.76 inference(copy,[status(esa)],[c_1610]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9099,plain,
% 157.58/157.77 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.77 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_9098]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1606,plain,
% 157.58/157.77 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.77 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5047_3) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9090,plain,
% 157.58/157.77 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.77 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1606]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9091,plain,
% 157.58/157.77 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.77 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_9090]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1598,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5049_3) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9074,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1598]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9075,plain,
% 157.58/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_9074]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1596,plain,
% 157.58/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5050_1) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9070,plain,
% 157.58/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1596]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9071,plain,
% 157.58/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_9070]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1586,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5052_3) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9050,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1586]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9051,plain,
% 157.58/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.58/157.77 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_9050]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1584,plain,
% 157.58/157.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5053_1) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9046,plain,
% 157.58/157.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1584]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9047,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.58/157.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_9046]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1580,plain,
% 157.58/157.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5054_1) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9038,plain,
% 157.58/157.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1580]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9039,plain,
% 157.58/157.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_9038]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1576,plain,
% 157.58/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.77 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5055_1) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9030,plain,
% 157.58/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.77 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1576]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9031,plain,
% 157.58/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.58/157.77 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_9030]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1572,plain,
% 157.58/157.77 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.58/157.77 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 157.58/157.77 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5056_1) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9022,plain,
% 157.58/157.77 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.58/157.77 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 157.58/157.77 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1572]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9023,plain,
% 157.58/157.77 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.58/157.77 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 157.58/157.77 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_9022]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1569,plain,
% 157.58/157.77 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.58/157.77 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5057_1) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9016,plain,
% 157.58/157.77 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.58/157.77 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1569]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_9017,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_9016]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1559,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 157.58/157.77 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5059_4) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8996,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 157.58/157.77 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1559]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8997,plain,
% 157.58/157.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.58/157.77 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8996]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1554,plain,
% 157.58/157.77 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 157.58/157.77 | ~ c_lessequals(X0,X2,X1)
% 157.58/157.77 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5060_4) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8986,plain,
% 157.58/157.77 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 157.58/157.77 | ~ c_lessequals(X0,X2,X1)
% 157.58/157.77 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1554]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8987,plain,
% 157.58/157.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.58/157.77 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.77 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 157.58/157.77 | ~ c_lessequals(X2,X3,X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8986]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1549,plain,
% 157.58/157.77 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 157.58/157.77 | ~ c_lessequals(X0,X3,X1)
% 157.58/157.77 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5061_4) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8976,plain,
% 157.58/157.77 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 157.58/157.77 | ~ c_lessequals(X0,X3,X1)
% 157.58/157.77 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1549]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8977,plain,
% 157.58/157.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.58/157.77 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.77 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 157.58/157.77 | ~ c_lessequals(X2,X3,X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8976]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1517,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5071_2) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8912,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1517]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8913,plain,
% 157.58/157.77 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 157.58/157.77 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8912]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1514,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5072_2) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8906,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1514]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8907,plain,
% 157.58/157.77 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 157.58/157.77 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8906]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1510,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 157.58/157.77 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5073_3) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8898,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 157.58/157.77 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1510]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8899,plain,
% 157.58/157.77 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8898]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1491,plain,
% 157.58/157.77 ( ~ class_Orderings_Olinorder(X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5080_1) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8860,plain,
% 157.58/157.77 ( ~ class_Orderings_Olinorder(X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1491]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8861,plain,
% 157.58/157.77 ( ~ class_Orderings_Olinorder(X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8860]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1487,plain,
% 157.58/157.77 ( ~ class_Orderings_Olinorder(X0)
% 157.58/157.77 | ~ c_lessequals(X1,X2,X0)
% 157.58/157.77 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 157.58/157.77 | ~ c_lessequals(X3,X2,X0) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5081_1) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8852,plain,
% 157.58/157.77 ( ~ class_Orderings_Olinorder(X0)
% 157.58/157.77 | ~ c_lessequals(X1,X2,X0)
% 157.58/157.77 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 157.58/157.77 | ~ c_lessequals(X3,X2,X0) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1487]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8853,plain,
% 157.58/157.77 ( ~ class_Orderings_Olinorder(X0)
% 157.58/157.77 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 157.58/157.77 | ~ c_lessequals(X2,X3,X0)
% 157.58/157.77 | ~ c_lessequals(X1,X3,X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8852]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1471,plain,
% 157.58/157.77 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.58/157.77 | ~ c_lessequals(X1,X2,X0)
% 157.58/157.77 | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X3),X2),X0)
% 157.58/157.77 | ~ c_lessequals(X1,X3,X0) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5086_1) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8820,plain,
% 157.58/157.77 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.58/157.77 | ~ c_lessequals(X1,X2,X0)
% 157.58/157.77 | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X3),X2),X0)
% 157.58/157.77 | ~ c_lessequals(X1,X3,X0) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1471]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8821,plain,
% 157.58/157.77 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.58/157.77 | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3),X0)
% 157.58/157.77 | ~ c_lessequals(X1,X3,X0)
% 157.58/157.77 | ~ c_lessequals(X1,X2,X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8820]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1467,plain,
% 157.58/157.77 ( ~ class_Orderings_Olinorder(X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X3),X2),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5087_1) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8812,plain,
% 157.58/157.77 ( ~ class_Orderings_Olinorder(X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X3),X2),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1467]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8813,plain,
% 157.58/157.77 ( ~ class_Orderings_Olinorder(X0)
% 157.58/157.77 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3),X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8812]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1455,plain,
% 157.58/157.77 ( ~ class_Orderings_Olinorder(X0)
% 157.58/157.77 | ~ c_lessequals(X1,X2,X0)
% 157.58/157.77 | c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X3),X2),X0)
% 157.58/157.77 | ~ c_lessequals(X1,X3,X0) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5090_1) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8788,plain,
% 157.58/157.77 ( ~ class_Orderings_Olinorder(X0)
% 157.58/157.77 | ~ c_lessequals(X1,X2,X0)
% 157.58/157.77 | c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X3),X2),X0)
% 157.58/157.77 | ~ c_lessequals(X1,X3,X0) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1455]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8789,plain,
% 157.58/157.77 ( ~ class_Orderings_Olinorder(X0)
% 157.58/157.77 | c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3),X0)
% 157.58/157.77 | ~ c_lessequals(X1,X3,X0)
% 157.58/157.77 | ~ c_lessequals(X1,X2,X0) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8788]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1451,plain,
% 157.58/157.77 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 157.58/157.77 | ~ c_lessequals(X1,X2,tc_nat)
% 157.58/157.77 | X0 = X2
% 157.58/157.77 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5091_1) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8780,plain,
% 157.58/157.77 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 157.58/157.77 | ~ c_lessequals(X1,X2,tc_nat)
% 157.58/157.77 | X0 = X2
% 157.58/157.77 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1451]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8781,plain,
% 157.58/157.77 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.77 | ~ c_lessequals(X0,X2,tc_nat)
% 157.58/157.77 | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 157.58/157.77 | X2 = X1 ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8780]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1449,plain,
% 157.58/157.77 ( X0 = X1
% 157.58/157.77 | ~ c_lessequals(X2,X0,tc_nat)
% 157.58/157.77 | ~ c_lessequals(X2,X1,tc_nat)
% 157.58/157.77 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5091_3) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8776,plain,
% 157.58/157.77 ( X0 = X1
% 157.58/157.77 | ~ c_lessequals(X2,X0,tc_nat)
% 157.58/157.77 | ~ c_lessequals(X2,X1,tc_nat)
% 157.58/157.77 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1449]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8777,plain,
% 157.58/157.77 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.58/157.77 | ~ c_lessequals(X0,X2,tc_nat)
% 157.58/157.77 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 157.58/157.77 | X1 = X2 ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8776]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1446,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5092_2) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8770,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1446]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8771,plain,
% 157.58/157.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.58/157.77 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8770]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1444,plain,
% 157.58/157.77 ( ~ c_List_Olistsp(X0,X1,X2)
% 157.58/157.77 | c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)
% 157.58/157.77 | ~ c_List_Olistsp(X0,X3,X2) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5093_1) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8766,plain,
% 157.58/157.77 ( ~ c_List_Olistsp(X0,X1,X2)
% 157.58/157.77 | c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)
% 157.58/157.77 | ~ c_List_Olistsp(X0,X3,X2) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1444]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8767,plain,
% 157.58/157.77 ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 157.58/157.77 | ~ c_List_Olistsp(X0,X2,X3)
% 157.58/157.77 | ~ c_List_Olistsp(X0,X1,X3) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8766]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1432,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5100_2) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8742,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.58/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1432]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8743,plain,
% 157.58/157.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 157.58/157.77 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8742]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1429,plain,
% 157.58/157.77 ( c_lessequals(X0,X1,X2)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.58/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5101_2) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8736,plain,
% 157.58/157.77 ( c_lessequals(X0,X1,X2)
% 157.58/157.77 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.58/157.77 inference(copy,[status(esa)],[c_1429]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_8737,plain,
% 157.58/157.77 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 157.58/157.77 | c_lessequals(X0,X1,X2)
% 157.58/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.58/157.77 inference(rewriting,[status(thm)],[c_8736]) ).
% 157.58/157.77
% 157.58/157.77 cnf(c_1426,plain,
% 157.58/157.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 157.62/157.77 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5102_2) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8730,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 157.62/157.77 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1426]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8731,plain,
% 157.62/157.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.77 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8730]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1423,plain,
% 157.62/157.77 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 157.62/157.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.62/157.77 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5103_2) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8724,plain,
% 157.62/157.77 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 157.62/157.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.62/157.77 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1423]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8725,plain,
% 157.62/157.77 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.77 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.77 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8724]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1420,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.62/157.77 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5104_2) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8718,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.62/157.77 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1420]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8719,plain,
% 157.62/157.77 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8718]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1417,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.62/157.77 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5105_2) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8712,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.62/157.77 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1417]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8713,plain,
% 157.62/157.77 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.77 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8712]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1414,plain,
% 157.62/157.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 157.62/157.77 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5106_2) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8706,plain,
% 157.62/157.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 157.62/157.77 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1414]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8707,plain,
% 157.62/157.77 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 157.62/157.77 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.77 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8706]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1412,plain,
% 157.62/157.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5107_1) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8702,plain,
% 157.62/157.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1412]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8703,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8702]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1406,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5120_0) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8690,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1406]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8691,plain,
% 157.62/157.77 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8690]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1403,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5120_3) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8684,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1403]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8685,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8684]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1402,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5121_0) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8682,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1402]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8683,plain,
% 157.62/157.77 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8682]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1399,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5121_3) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8676,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1399]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8677,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8676]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1398,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 157.62/157.77 | ~ c_lessequals(X4,X3,X0)
% 157.62/157.77 | c_lessequals(X2,X1,X0) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5122_0) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8674,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 157.62/157.77 | ~ c_lessequals(X4,X3,X0)
% 157.62/157.77 | c_lessequals(X2,X1,X0) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1398]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8675,plain,
% 157.62/157.77 ( ~ c_lessequals(X0,X1,X2)
% 157.62/157.77 | c_lessequals(X3,X4,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8674]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1395,plain,
% 157.62/157.77 ( c_lessequals(X0,X1,X2)
% 157.62/157.77 | ~ c_lessequals(X3,X4,X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5122_3) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8668,plain,
% 157.62/157.77 ( c_lessequals(X0,X1,X2)
% 157.62/157.77 | ~ c_lessequals(X3,X4,X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1395]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8669,plain,
% 157.62/157.77 ( c_lessequals(X0,X1,X2)
% 157.62/157.77 | ~ c_lessequals(X3,X4,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8668]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1394,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 157.62/157.77 | ~ c_lessequals(X2,X1,X0)
% 157.62/157.77 | c_lessequals(X4,X3,X0) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5123_0) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8666,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 157.62/157.77 | ~ c_lessequals(X2,X1,X0)
% 157.62/157.77 | c_lessequals(X4,X3,X0) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1394]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8667,plain,
% 157.62/157.77 ( ~ c_lessequals(X0,X1,X2)
% 157.62/157.77 | c_lessequals(X3,X4,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8666]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1391,plain,
% 157.62/157.77 ( c_lessequals(X0,X1,X2)
% 157.62/157.77 | ~ c_lessequals(X3,X4,X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5123_3) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8660,plain,
% 157.62/157.77 ( c_lessequals(X0,X1,X2)
% 157.62/157.77 | ~ c_lessequals(X3,X4,X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1391]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8661,plain,
% 157.62/157.77 ( c_lessequals(X0,X1,X2)
% 157.62/157.77 | ~ c_lessequals(X3,X4,X2)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 157.62/157.77 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8660]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1337,plain,
% 157.62/157.77 ( 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)
% 157.62/157.77 | ~ c_lessequals(X2,X0,tc_nat)
% 157.62/157.77 | ~ class_Ring__and__Field_Oring__1(X1) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5148_2) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8552,plain,
% 157.62/157.77 ( 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)
% 157.62/157.77 | ~ c_lessequals(X2,X0,tc_nat)
% 157.62/157.77 | ~ class_Ring__and__Field_Oring__1(X1) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1337]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8553,plain,
% 157.62/157.77 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.77 | ~ class_Ring__and__Field_Oring__1(X2)
% 157.62/157.77 | 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) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8552]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1289,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.77 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5175_1) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8456,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.77 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1289]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8457,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8456]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1286,plain,
% 157.62/157.77 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5175_4) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8450,plain,
% 157.62/157.77 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1286]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8451,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8450]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1284,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5176_1) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8446,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1284]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8447,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8446]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1281,plain,
% 157.62/157.77 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5176_4) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8440,plain,
% 157.62/157.77 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1281]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8441,plain,
% 157.62/157.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8440]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1268,plain,
% 157.62/157.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5187_0) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8414,plain,
% 157.62/157.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1268]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8415,plain,
% 157.62/157.77 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8414]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1251,plain,
% 157.62/157.77 ( X0 = X1
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 157.62/157.77 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)
% 157.62/157.77 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5194_3) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8380,plain,
% 157.62/157.77 ( X0 = X1
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 157.62/157.77 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)
% 157.62/157.77 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1251]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8381,plain,
% 157.62/157.77 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.77 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 157.62/157.77 | X2 = X3 ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8380]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1136,plain,
% 157.62/157.77 ( X0 = X1
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5252_2) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8150,plain,
% 157.62/157.77 ( X0 = X1
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1136]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8151,plain,
% 157.62/157.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.77 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 157.62/157.77 | X1 = X2 ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8150]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1124,plain,
% 157.62/157.77 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.62/157.77 | ~ c_lessequals(X3,X1,X0) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5257_1) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8126,plain,
% 157.62/157.77 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.62/157.77 | ~ c_lessequals(X3,X1,X0) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1124]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8127,plain,
% 157.62/157.77 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.77 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8126]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1122,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.77 | ~ c_lessequals(X0,X3,X2)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 157.62/157.77 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5257_3) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8122,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.77 | ~ c_lessequals(X0,X3,X2)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 157.62/157.77 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1122]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8123,plain,
% 157.62/157.77 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.77 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8122]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1116,plain,
% 157.62/157.77 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.77 | ~ c_lessequals(X2,X3,X0) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5259_1) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8110,plain,
% 157.62/157.77 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.77 | ~ c_lessequals(X2,X3,X0) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1116]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8111,plain,
% 157.62/157.77 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.77 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8110]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1114,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.77 | ~ c_lessequals(X3,X1,X2)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 157.62/157.77 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5259_3) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8106,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.77 | ~ c_lessequals(X3,X1,X2)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 157.62/157.77 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1114]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8107,plain,
% 157.62/157.77 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.77 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8106]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1090,plain,
% 157.62/157.77 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.77 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5267_1) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8058,plain,
% 157.62/157.77 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.77 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1090]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_8059,plain,
% 157.62/157.77 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_8058]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1047,plain,
% 157.62/157.77 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 157.62/157.77 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.77 | hBOOL(hAPP(X1,X2))
% 157.62/157.77 | hBOOL(hAPP(X1,X0)) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5298_0) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_7972,plain,
% 157.62/157.77 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 157.62/157.77 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.77 | hBOOL(hAPP(X1,X2))
% 157.62/157.77 | hBOOL(hAPP(X1,X0)) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1047]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_7973,plain,
% 157.62/157.77 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.77 | hBOOL(hAPP(X0,X1))
% 157.62/157.77 | hBOOL(hAPP(X0,X2))
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_7972]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1044,plain,
% 157.62/157.77 ( hBOOL(hAPP(X0,X1))
% 157.62/157.77 | hBOOL(hAPP(X0,X2))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5298_3) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_7966,plain,
% 157.62/157.77 ( hBOOL(hAPP(X0,X1))
% 157.62/157.77 | hBOOL(hAPP(X0,X2))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1044]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_7967,plain,
% 157.62/157.77 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.77 | hBOOL(hAPP(X0,X1))
% 157.62/157.77 | hBOOL(hAPP(X0,X2))
% 157.62/157.77 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_7966]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_1018,plain,
% 157.62/157.77 ( c_lessequals(X0,X1,X2)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.77 | ~ c_lessequals(X1,X0,X2)
% 157.62/157.77 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5310_3) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_7914,plain,
% 157.62/157.77 ( c_lessequals(X0,X1,X2)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.77 | ~ c_lessequals(X1,X0,X2)
% 157.62/157.77 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_1018]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_7915,plain,
% 157.62/157.77 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.77 | c_lessequals(X1,X2,X0)
% 157.62/157.77 | ~ c_lessequals(X2,X1,X0)
% 157.62/157.77 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_7914]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_998,plain,
% 157.62/157.77 ( hBOOL(hAPP(X0,X1))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5323_2) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_7874,plain,
% 157.62/157.77 ( hBOOL(hAPP(X0,X1))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_998]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_7875,plain,
% 157.62/157.77 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))))
% 157.62/157.77 | hBOOL(hAPP(X0,X1)) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_7874]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_995,plain,
% 157.62/157.77 ( hBOOL(hAPP(X0,X1))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0)))) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5324_2) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_7868,plain,
% 157.62/157.77 ( hBOOL(hAPP(X0,X1))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0)))) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_995]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_7869,plain,
% 157.62/157.77 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0))))
% 157.62/157.77 | hBOOL(hAPP(X0,X1)) ),
% 157.62/157.77 inference(rewriting,[status(thm)],[c_7868]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_992,plain,
% 157.62/157.77 ( hBOOL(hAPP(X0,X1))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0)))) ),
% 157.62/157.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5325_2) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_7862,plain,
% 157.62/157.77 ( hBOOL(hAPP(X0,X1))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.77 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0)))) ),
% 157.62/157.77 inference(copy,[status(esa)],[c_992]) ).
% 157.62/157.77
% 157.62/157.77 cnf(c_7863,plain,
% 157.62/157.77 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0))))
% 157.62/157.78 | hBOOL(hAPP(X0,X1)) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7862]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_989,plain,
% 157.62/157.78 ( hBOOL(hAPP(X0,X1))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0)))) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5326_2) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7856,plain,
% 157.62/157.78 ( hBOOL(hAPP(X0,X1))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0)))) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_989]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7857,plain,
% 157.62/157.78 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0))))
% 157.62/157.78 | hBOOL(hAPP(X0,X1)) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7856]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_986,plain,
% 157.62/157.78 ( hBOOL(hAPP(X0,X1))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0)))) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5327_2) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7850,plain,
% 157.62/157.78 ( hBOOL(hAPP(X0,X1))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0)))) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_986]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7851,plain,
% 157.62/157.78 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0))))
% 157.62/157.78 | hBOOL(hAPP(X0,X1)) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7850]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_982,plain,
% 157.62/157.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.78 | X0 = X1
% 157.62/157.78 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 157.62/157.78 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5328_3) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7842,plain,
% 157.62/157.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.78 | X0 = X1
% 157.62/157.78 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 157.62/157.78 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_982]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7843,plain,
% 157.62/157.78 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 157.62/157.78 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 157.62/157.78 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 157.62/157.78 | X2 = X1 ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7842]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_920,plain,
% 157.62/157.78 ( X0 = X1
% 157.62/157.78 | ~ c_lessequals(X1,X0,tc_nat)
% 157.62/157.78 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5350_2) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7718,plain,
% 157.62/157.78 ( X0 = X1
% 157.62/157.78 | ~ c_lessequals(X1,X0,tc_nat)
% 157.62/157.78 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_920]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7719,plain,
% 157.62/157.78 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.78 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
% 157.62/157.78 | X1 = X0 ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7718]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_906,plain,
% 157.62/157.78 ( X0 = X1
% 157.62/157.78 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.78 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5356_2) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7690,plain,
% 157.62/157.78 ( X0 = X1
% 157.62/157.78 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.78 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_906]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7691,plain,
% 157.62/157.78 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.78 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.78 | X0 = X1 ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7690]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_878,plain,
% 157.62/157.78 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5370_2) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7634,plain,
% 157.62/157.78 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_878]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7635,plain,
% 157.62/157.78 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7634]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_875,plain,
% 157.62/157.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.78 | X1 = X0
% 157.62/157.78 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5371_2) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7628,plain,
% 157.62/157.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.78 | X1 = X0
% 157.62/157.78 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_875]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7629,plain,
% 157.62/157.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.78 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1)
% 157.62/157.78 | X1 = X0 ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7628]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_844,plain,
% 157.62/157.78 ( hBOOL(hAPP(X0,X1))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0))) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5394_2) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7566,plain,
% 157.62/157.78 ( hBOOL(hAPP(X0,X1))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0))) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_844]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7567,plain,
% 157.62/157.78 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.78 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 157.62/157.78 | hBOOL(hAPP(X0,X1)) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7566]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_768,plain,
% 157.62/157.78 ( c_Suc(X0) = X1
% 157.62/157.78 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 157.62/157.78 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5419_2) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7414,plain,
% 157.62/157.78 ( c_Suc(X0) = X1
% 157.62/157.78 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 157.62/157.78 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_768]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7415,plain,
% 157.62/157.78 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 157.62/157.78 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.78 | c_Suc(X0) = X1 ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7414]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_668,plain,
% 157.62/157.78 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.78 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.78 | ~ class_Power_Opower(X1)
% 157.62/157.78 | ~ class_Ring__and__Field_Omult__zero(X1)
% 157.62/157.78 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 157.62/157.78 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5471_5) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7214,plain,
% 157.62/157.78 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.78 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.78 | ~ class_Power_Opower(X1)
% 157.62/157.78 | ~ class_Ring__and__Field_Omult__zero(X1)
% 157.62/157.78 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 157.62/157.78 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_668]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7215,plain,
% 157.62/157.78 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 157.62/157.78 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 157.62/157.78 | ~ class_Ring__and__Field_Omult__zero(X0)
% 157.62/157.78 | ~ class_Power_Opower(X0)
% 157.62/157.78 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7214]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_663,plain,
% 157.62/157.78 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.78 | ~ class_Power_Opower(X0)
% 157.62/157.78 | ~ class_Ring__and__Field_Omult__zero(X0)
% 157.62/157.78 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 157.62/157.78 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5472_4) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7204,plain,
% 157.62/157.78 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.78 | ~ class_Power_Opower(X0)
% 157.62/157.78 | ~ class_Ring__and__Field_Omult__zero(X0)
% 157.62/157.78 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 157.62/157.78 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_663]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7205,plain,
% 157.62/157.78 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 157.62/157.78 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 157.62/157.78 | ~ class_Ring__and__Field_Omult__zero(X0)
% 157.62/157.78 | ~ class_Power_Opower(X0)
% 157.62/157.78 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7204]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_660,plain,
% 157.62/157.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.78 | X1 = X0
% 157.62/157.78 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5474_2) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7198,plain,
% 157.62/157.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.78 | X1 = X0
% 157.62/157.78 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_660]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7199,plain,
% 157.62/157.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.78 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 157.62/157.78 | X1 = X0 ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7198]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_642,plain,
% 157.62/157.78 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.62/157.78 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.78 | X2 = X1
% 157.62/157.78 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5479_1) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7162,plain,
% 157.62/157.78 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.62/157.78 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.78 | X2 = X1
% 157.62/157.78 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_642]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7163,plain,
% 157.62/157.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.78 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.78 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 157.62/157.78 | X1 = X0 ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7162]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_640,plain,
% 157.62/157.78 ( X0 = X1
% 157.62/157.78 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.78 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.78 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5479_3) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7158,plain,
% 157.62/157.78 ( X0 = X1
% 157.62/157.78 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.78 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.78 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_640]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7159,plain,
% 157.62/157.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.78 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.78 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 157.62/157.78 | X0 = X1 ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7158]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_585,plain,
% 157.62/157.78 ( X0 = X1
% 157.62/157.78 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.78 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5507_2) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7048,plain,
% 157.62/157.78 ( X0 = X1
% 157.62/157.78 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.78 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_585]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_7049,plain,
% 157.62/157.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.78 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 157.62/157.78 | X0 = X1 ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_7048]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_546,plain,
% 157.62/157.78 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.78 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.78 | ~ class_Power_Opower(X1)
% 157.62/157.78 | ~ class_Ring__and__Field_Omult__zero(X1)
% 157.62/157.78 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 157.62/157.78 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5519_5) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_6970,plain,
% 157.62/157.78 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.78 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.78 | ~ class_Power_Opower(X1)
% 157.62/157.78 | ~ class_Ring__and__Field_Omult__zero(X1)
% 157.62/157.78 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 157.62/157.78 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_546]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_6971,plain,
% 157.62/157.78 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 157.62/157.78 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 157.62/157.78 | ~ class_Ring__and__Field_Omult__zero(X0)
% 157.62/157.78 | ~ class_Power_Opower(X0)
% 157.62/157.78 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_6970]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_310,plain,
% 157.62/157.78 ( c_Lattices_Olower__semilattice__class_Oinf(X0) = c_Orderings_Oord__class_Omin(X0)
% 157.62/157.78 | ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.78 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5709_2) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_6498,plain,
% 157.62/157.78 ( c_Lattices_Olower__semilattice__class_Oinf(X0) = c_Orderings_Oord__class_Omin(X0)
% 157.62/157.78 | ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.78 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_310]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_6499,plain,
% 157.62/157.78 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.78 | ~ class_Orderings_Olinorder(X0)
% 157.62/157.78 | c_Lattices_Olower__semilattice__class_Oinf(X0) = c_Orderings_Oord__class_Omin(X0) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_6498]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_267,plain,
% 157.62/157.78 ( c_List_Olistsp(hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),c_Ex(tc_Type_Otype)),hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)))),v_as____,tc_Lambda_OdB) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4620_0) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_6412,plain,
% 157.62/157.78 ( c_List_Olistsp(hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type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),
% 157.62/157.78 inference(copy,[status(esa)],[c_267]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_6413,plain,
% 157.62/157.78 ( c_List_Olistsp(hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),c_Ex(tc_Type_Otype)),hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_n____),v_T____)))),v_as____,tc_Lambda_OdB) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_6412]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_2635,plain,
% 157.62/157.78 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))
% 157.62/157.78 | X4 = X3
% 157.62/157.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X4)) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4621_1) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11148,plain,
% 157.62/157.78 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))
% 157.62/157.78 | X4 = X3
% 157.62/157.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X4)) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_2635]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11149,plain,
% 157.62/157.78 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))
% 157.62/157.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X4))
% 157.62/157.78 | X4 = X3 ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_11148]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_2629,plain,
% 157.62/157.78 ( 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))
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4624_1) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11136,plain,
% 157.62/157.78 ( 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))
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_2629]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11137,plain,
% 157.62/157.78 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.78 | 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)) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_11136]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_2627,plain,
% 157.62/157.78 ( 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))
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4625_1) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11132,plain,
% 157.62/157.78 ( 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))
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_2627]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11133,plain,
% 157.62/157.78 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.78 | 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)) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_11132]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_2625,plain,
% 157.62/157.78 ( 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)))
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4626_1) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11128,plain,
% 157.62/157.78 ( 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)))
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_2625]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11129,plain,
% 157.62/157.78 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.78 | 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))) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_11128]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_2623,plain,
% 157.62/157.78 ( 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))
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4627_1) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11124,plain,
% 157.62/157.78 ( 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))
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_2623]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11125,plain,
% 157.62/157.78 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.78 | 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)) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_11124]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_2619,plain,
% 157.62/157.78 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4629_1) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11116,plain,
% 157.62/157.78 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_2619]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11117,plain,
% 157.62/157.78 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.78 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_11116]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_2617,plain,
% 157.62/157.78 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4630_1) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11112,plain,
% 157.62/157.78 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_2617]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11113,plain,
% 157.62/157.78 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.78 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_11112]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_2615,plain,
% 157.62/157.78 ( 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))
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4631_1) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11108,plain,
% 157.62/157.78 ( 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))
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_2615]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11109,plain,
% 157.62/157.78 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.78 | 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)) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_11108]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_2613,plain,
% 157.62/157.78 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4632_1) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11104,plain,
% 157.62/157.78 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_2613]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11105,plain,
% 157.62/157.78 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.78 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_11104]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_2611,plain,
% 157.62/157.78 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4633_1) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11100,plain,
% 157.62/157.78 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_2611]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11101,plain,
% 157.62/157.78 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.78 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_11100]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_2609,plain,
% 157.62/157.78 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4634_1) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11096,plain,
% 157.62/157.78 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_2609]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11097,plain,
% 157.62/157.78 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.78 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_11096]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_2607,plain,
% 157.62/157.78 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 157.62/157.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4635_1) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11092,plain,
% 157.62/157.78 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 157.62/157.78 inference(copy,[status(esa)],[c_2607]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_11093,plain,
% 157.62/157.78 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.78 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 157.62/157.78 inference(rewriting,[status(thm)],[c_11092]) ).
% 157.62/157.78
% 157.62/157.78 cnf(c_2605,plain,
% 157.62/157.78 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 157.62/157.78 | ~ c_Groebner__Basis_Ogb__semiring(X4,X5,X0,X6,X7,X8) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4636_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11088,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X4,X5,X0,X6,X7,X8) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2605]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11089,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X7),X8)) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_11088]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2603,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4637_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11084,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2603]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11085,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_11084]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2593,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4642_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11064,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2593]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11065,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_11064]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2591,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4643_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11060,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2591]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11061,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_11060]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2589,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),c_Suc(X3))
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4644_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11056,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),c_Suc(X3))
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2589]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11057,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_11056]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2587,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4645_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11052,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2587]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11053,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_11052]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2585,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4646_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11048,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2585]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11049,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_11048]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2583,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4647_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11044,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2583]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11045,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_11044]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2577,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),c_Suc(X3))
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4650_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11032,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),c_Suc(X3))
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2577]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11033,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_11032]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2571,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4653_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11020,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2571]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11021,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_11020]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2569,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4654_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11016,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2569]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11017,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_11016]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2567,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4655_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11012,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2567]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11013,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_11012]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2565,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X2,X3,X0,X4,X5,X6) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4656_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11008,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X2,X3,X0,X4,X5,X6) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2565]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11009,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X2,X6),c_HOL_Oone__class_Oone(tc_nat)) = X6 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_11008]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2561,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = X1
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4658_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11000,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = X1
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2561]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_11001,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_11000]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2557,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = X2
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4660_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10992,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = X2
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2557]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10993,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10992]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2553,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = X1
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4662_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10984,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = X1
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2553]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10985,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10984]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2551,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = X2
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4663_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10980,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = X2
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2551]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10981,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10980]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2549,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = X1
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4664_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10976,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = X1
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2549]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10977,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10976]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2547,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = X2
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4665_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10972,plain,
% 157.62/157.79 ( hAPP(hAPP(X0,X1),X2) = X2
% 157.62/157.79 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2547]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10973,plain,
% 157.62/157.79 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 157.62/157.79 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10972]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2545,plain,
% 157.62/157.79 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 157.62/157.79 | hAPP(X0,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4666_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10968,plain,
% 157.62/157.79 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 157.62/157.79 | hAPP(X0,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2545]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10969,plain,
% 157.62/157.79 ( hAPP(X0,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X1,X2,X3,X4)) != hAPP(X1,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X1,X2,X3,X4))
% 157.62/157.79 | c_List_Omap(X0,X2,X3,X4) = c_List_Omap(X1,X2,X3,X4) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10968]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2543,plain,
% 157.62/157.79 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 157.62/157.79 | hAPP(X0,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4667_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10964,plain,
% 157.62/157.79 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 157.62/157.79 | hAPP(X0,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2543]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10965,plain,
% 157.62/157.79 ( hAPP(X0,c_List_Osko__List__Xmap__cong__1__1(X0,X1,X2,X3,X4)) != hAPP(X1,c_List_Osko__List__Xmap__cong__1__1(X0,X1,X2,X3,X4))
% 157.62/157.79 | c_List_Omap(X0,X2,X3,X4) = c_List_Omap(X1,X2,X3,X4) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10964]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2541,plain,
% 157.62/157.79 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 157.62/157.79 | hAPP(X0,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4668_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10960,plain,
% 157.62/157.79 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 157.62/157.79 | hAPP(X0,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2541]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10961,plain,
% 157.62/157.79 ( hAPP(X0,c_List_Osko__List__Xmap__ext__1__1(X0,X1,X2,X3,X4)) != hAPP(X1,c_List_Osko__List__Xmap__ext__1__1(X0,X1,X2,X3,X4))
% 157.62/157.79 | c_List_Omap(X0,X2,X3,X4) = c_List_Omap(X1,X2,X3,X4) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10960]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2536,plain,
% 157.62/157.79 ( c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4672_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10950,plain,
% 157.62/157.79 ( c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2536]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10951,plain,
% 157.62/157.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.79 | c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10950]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2534,plain,
% 157.62/157.79 ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X7,X8,X3,X9),X10)
% 157.62/157.79 | hAPP(X0,hAPP(X1,X5)) != hAPP(X6,hAPP(X7,X10)) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4673_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10946,plain,
% 157.62/157.79 ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X7,X8,X3,X9),X10)
% 157.62/157.79 | hAPP(X0,hAPP(X1,X5)) != hAPP(X6,hAPP(X7,X10)) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2534]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2532,plain,
% 157.62/157.79 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.62/157.79 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4674_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10942,plain,
% 157.62/157.79 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.62/157.79 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2532]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2530,plain,
% 157.62/157.79 ( 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))
% 157.62/157.79 | ~ c_Lambda_Obeta(X0,X2) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4676_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10938,plain,
% 157.62/157.79 ( 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))
% 157.62/157.79 | ~ c_Lambda_Obeta(X0,X2) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2530]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2524,plain,
% 157.62/157.79 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4678_2) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10926,plain,
% 157.62/157.79 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2524]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2518,plain,
% 157.62/157.79 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 157.62/157.79 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4680_2) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10914,plain,
% 157.62/157.79 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 157.62/157.79 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2518]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2512,plain,
% 157.62/157.79 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 157.62/157.79 | ~ c_lessequals(X3,X0,tc_nat)
% 157.62/157.79 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4682_2) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10902,plain,
% 157.62/157.79 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 157.62/157.79 | ~ c_lessequals(X3,X0,tc_nat)
% 157.62/157.79 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2512]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10903,plain,
% 157.62/157.79 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 157.62/157.79 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 157.62/157.79 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10902]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2500,plain,
% 157.62/157.79 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4686_2) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10878,plain,
% 157.62/157.79 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2500]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2494,plain,
% 157.62/157.79 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 157.62/157.79 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4688_2) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10866,plain,
% 157.62/157.79 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 157.62/157.79 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2494]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2489,plain,
% 157.62/157.79 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,hAPP(X4,X2))
% 157.62/157.79 | c_Fun_Ocomp(X0,X1,X5,X6,X7) != c_Fun_Ocomp(X3,X4,X8,X6,X7) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4690_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10856,plain,
% 157.62/157.79 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,hAPP(X4,X2))
% 157.62/157.79 | c_Fun_Ocomp(X0,X1,X5,X6,X7) != c_Fun_Ocomp(X3,X4,X8,X6,X7) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2489]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2487,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | 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) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4691_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10852,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | 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) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2487]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10853,plain,
% 157.62/157.79 ( 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)
% 157.62/157.79 | X0 = X2 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10852]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2485,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | 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) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4692_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10848,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | 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) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2485]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10849,plain,
% 157.62/157.79 ( 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)
% 157.62/157.79 | X1 = X3 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10848]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2483,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | 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) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4693_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10844,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | 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) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2483]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10845,plain,
% 157.62/157.79 ( 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)
% 157.62/157.79 | X0 = X2 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10844]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2481,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | 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) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4694_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10840,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | 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) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2481]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10841,plain,
% 157.62/157.79 ( 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)
% 157.62/157.79 | X1 = X3 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10840]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2479,plain,
% 157.62/157.79 ( 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))
% 157.62/157.79 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4695_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10836,plain,
% 157.62/157.79 ( 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))
% 157.62/157.79 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2479]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10837,plain,
% 157.62/157.79 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 157.62/157.79 | 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)) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10836]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2477,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | 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) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4697_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10832,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | 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) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2477]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10833,plain,
% 157.62/157.79 ( 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)
% 157.62/157.79 | X0 = X2 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10832]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2474,plain,
% 157.62/157.79 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 157.62/157.79 | ~ c_lessequals(X2,X1,tc_nat)
% 157.62/157.79 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4698_2) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10826,plain,
% 157.62/157.79 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 157.62/157.79 | ~ c_lessequals(X2,X1,tc_nat)
% 157.62/157.79 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2474]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10827,plain,
% 157.62/157.79 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 157.62/157.79 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 157.62/157.79 | ~ c_lessequals(X0,X3,tc_nat) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10826]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2463,plain,
% 157.62/157.79 ( 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)
% 157.62/157.79 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4702_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10804,plain,
% 157.62/157.79 ( 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)
% 157.62/157.79 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2463]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10805,plain,
% 157.62/157.79 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 157.62/157.79 | 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) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10804]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2461,plain,
% 157.62/157.79 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),c_Suc(X3))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4704_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10800,plain,
% 157.62/157.79 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),c_Suc(X3))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2461]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10801,plain,
% 157.62/157.79 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 157.62/157.79 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),hAPP(hAPP(c_Lambda_Olift,X3),X0)),c_Suc(X1))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X1)),X0) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X4),X0)),X3),X1) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10800]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2459,plain,
% 157.62/157.79 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat)
% 157.62/157.79 | ~ c_lessequals(X3,X0,tc_nat) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4705_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10796,plain,
% 157.62/157.79 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat)
% 157.62/157.79 | ~ c_lessequals(X3,X0,tc_nat) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2459]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10797,plain,
% 157.62/157.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.79 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10796]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2457,plain,
% 157.62/157.79 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 157.62/157.79 | ~ c_lessequals(X0,X3,tc_nat) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4706_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10792,plain,
% 157.62/157.79 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 157.62/157.79 | ~ c_lessequals(X0,X3,tc_nat) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2457]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10793,plain,
% 157.62/157.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.79 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10792]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2453,plain,
% 157.62/157.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X3,X1,X0)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)
% 157.62/157.79 | ~ class_Ring__and__Field_Oring(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4708_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10784,plain,
% 157.62/157.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X3,X1,X0)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)
% 157.62/157.79 | ~ class_Ring__and__Field_Oring(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2453]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10785,plain,
% 157.62/157.79 ( ~ class_Ring__and__Field_Oring(X0)
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X3,X1,X0)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10784]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2449,plain,
% 157.62/157.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)),X1)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)),X3)
% 157.62/157.79 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4710_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10776,plain,
% 157.62/157.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)),X1)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)),X3)
% 157.62/157.79 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2449]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10777,plain,
% 157.62/157.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10776]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2447,plain,
% 157.62/157.79 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),X2)),hAPP(hAPP(c_Lambda_Olift,X3),X1)),X4))
% 157.62/157.79 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),X4)) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4714_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10772,plain,
% 157.62/157.79 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),X2)),hAPP(hAPP(c_Lambda_Olift,X3),X1)),X4))
% 157.62/157.79 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),X4)) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2447]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2443,plain,
% 157.62/157.79 ( c_List_Oappend(X0,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) = c_List_Oappend(X2,X3,X1)
% 157.62/157.79 | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0
% 157.62/157.79 | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2
% 157.62/157.79 | c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) != X3 ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4716_3) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10764,plain,
% 157.62/157.79 ( c_List_Oappend(X0,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) = c_List_Oappend(X2,X3,X1)
% 157.62/157.79 | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0
% 157.62/157.79 | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2
% 157.62/157.79 | c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) != X3 ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2443]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10765,plain,
% 157.62/157.79 ( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) != X3
% 157.62/157.79 | c_List_Oappend(X2,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) = c_List_Oappend(X0,X3,X1)
% 157.62/157.79 | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2
% 157.62/157.79 | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10764]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2440,plain,
% 157.62/157.79 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5)
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5)
% 157.62/157.79 | ~ class_Ring__and__Field_Oring(X1) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4718_2) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10758,plain,
% 157.62/157.79 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5)
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5)
% 157.62/157.79 | ~ class_Ring__and__Field_Oring(X1) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2440]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10759,plain,
% 157.62/157.79 ( ~ class_Ring__and__Field_Oring(X0)
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)
% 157.62/157.79 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10758]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2437,plain,
% 157.62/157.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4) = X5
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5)
% 157.62/157.79 | ~ class_Ring__and__Field_Oring(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4719_2) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10752,plain,
% 157.62/157.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4) = X5
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5)
% 157.62/157.79 | ~ class_Ring__and__Field_Oring(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2437]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10753,plain,
% 157.62/157.79 ( ~ class_Ring__and__Field_Oring(X0)
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4) = X5
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10752]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2435,plain,
% 157.62/157.79 ( X0 = c_Lambda_OdB_OAbs(X1)
% 157.62/157.79 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4720_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10748,plain,
% 157.62/157.79 ( X0 = c_Lambda_OdB_OAbs(X1)
% 157.62/157.79 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2435]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10749,plain,
% 157.62/157.79 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 157.62/157.79 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10748]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2433,plain,
% 157.62/157.79 ( c_Lambda_OdB_OAbs(X0) = X1
% 157.62/157.79 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4721_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10744,plain,
% 157.62/157.79 ( c_Lambda_OdB_OAbs(X0) = X1
% 157.62/157.79 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2433]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10745,plain,
% 157.62/157.79 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 157.62/157.79 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10744]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2431,plain,
% 157.62/157.79 ( c_Lambda_OdB_OVar(X0) = X1
% 157.62/157.79 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4722_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10740,plain,
% 157.62/157.79 ( c_Lambda_OdB_OVar(X0) = X1
% 157.62/157.79 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2431]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10741,plain,
% 157.62/157.79 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 157.62/157.79 | c_Lambda_OdB_OVar(X0) = X1 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10740]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2429,plain,
% 157.62/157.79 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X2),X1)),X3) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4723_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10736,plain,
% 157.62/157.79 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X2),X1)),X3) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2429]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10737,plain,
% 157.62/157.79 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 157.62/157.79 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X3),X1)),X0) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X3),X0)),X1) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10736]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2421,plain,
% 157.62/157.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4)
% 157.62/157.79 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4726_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10720,plain,
% 157.62/157.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4)
% 157.62/157.79 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2421]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10721,plain,
% 157.62/157.79 ( ~ class_Ring__and__Field_Osemiring(X0)
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10720]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2419,plain,
% 157.62/157.79 ( c_Type_Otypings(hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),X2),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 157.62/157.79 | ~ c_Type_Otypings(X0,X3,X4) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4727_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10716,plain,
% 157.62/157.79 ( c_Type_Otypings(hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),X2),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 157.62/157.79 | ~ c_Type_Otypings(X0,X3,X4) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2419]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2415,plain,
% 157.62/157.79 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 157.62/157.79 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X3,X1,c_Suc(X2),t_a))) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4729_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10708,plain,
% 157.62/157.79 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 157.62/157.79 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X3,X1,c_Suc(X2),t_a))) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2415]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2413,plain,
% 157.62/157.79 ( hBOOL(hAPP(X0,X1))
% 157.62/157.79 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4730_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10704,plain,
% 157.62/157.79 ( hBOOL(hAPP(X0,X1))
% 157.62/157.79 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2413]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10705,plain,
% 157.62/157.79 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 157.62/157.79 | hBOOL(hAPP(X0,X1)) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10704]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2411,plain,
% 157.62/157.79 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4732_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10700,plain,
% 157.62/157.79 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2411]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2409,plain,
% 157.62/157.79 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 157.62/157.79 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4733_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10696,plain,
% 157.62/157.79 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 157.62/157.79 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2409]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2407,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | c_List_Olist__update(c_List_Olist__update(X2,X0,X3,X4),X1,X5,X4) = c_List_Olist__update(c_List_Olist__update(X2,X1,X5,X4),X0,X3,X4) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4735_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10692,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | c_List_Olist__update(c_List_Olist__update(X2,X0,X3,X4),X1,X5,X4) = c_List_Olist__update(c_List_Olist__update(X2,X1,X5,X4),X0,X3,X4) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2407]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10693,plain,
% 157.62/157.79 ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X4,X5,X3) = c_List_Olist__update(c_List_Olist__update(X0,X4,X5,X3),X1,X2,X3)
% 157.62/157.79 | X1 = X4 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10692]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2405,plain,
% 157.62/157.79 ( c_List_Olist__update(c_List_Orev(X0,X1),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X1) = c_List_Orev(c_List_Olist__update(X0,X2,X3,X1),X1)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4737_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10688,plain,
% 157.62/157.79 ( c_List_Olist__update(c_List_Orev(X0,X1),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X1) = c_List_Orev(c_List_Olist__update(X0,X2,X3,X1),X1)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2405]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10689,plain,
% 157.62/157.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 157.62/157.79 | c_List_Olist__update(c_List_Orev(X1,X2),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X2) = c_List_Orev(c_List_Olist__update(X1,X0,X3,X2),X2) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10688]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2403,plain,
% 157.62/157.79 ( c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 157.62/157.79 | c_List_Oappend(X1,c_List_Olist__update(X3,c_HOL_Ominus__class_Ominus(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat),X4,X2),X2) = c_List_Olist__update(c_List_Oappend(X1,X3,X2),X0,X4,X2) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4738_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10684,plain,
% 157.62/157.79 ( c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 157.62/157.79 | c_List_Oappend(X1,c_List_Olist__update(X3,c_HOL_Ominus__class_Ominus(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat),X4,X2),X2) = c_List_Olist__update(c_List_Oappend(X1,X3,X2),X0,X4,X2) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2403]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2401,plain,
% 157.62/157.79 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0)
% 157.62/157.79 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4739_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10680,plain,
% 157.62/157.79 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0)
% 157.62/157.79 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2401]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10681,plain,
% 157.62/157.79 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 157.62/157.79 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10680]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2393,plain,
% 157.62/157.79 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4742_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10664,plain,
% 157.62/157.79 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2393]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2391,plain,
% 157.62/157.79 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4743_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10660,plain,
% 157.62/157.79 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2391]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10661,plain,
% 157.62/157.79 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 157.62/157.79 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X2),X0)),hAPP(hAPP(c_Lambda_Olift,X3),X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X3),X1)),X0) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10660]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2385,plain,
% 157.62/157.79 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.62/157.79 | ~ class_Int_Onumber__ring(X0)
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 157.62/157.79 | X2 = X4
% 157.62/157.79 | X1 = X3 ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4746_0) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10648,plain,
% 157.62/157.79 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.62/157.79 | ~ class_Int_Onumber__ring(X0)
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 157.62/157.79 | X2 = X4
% 157.62/157.79 | X1 = X3 ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2385]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2381,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | X2 = X3
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X2))
% 157.62/157.79 | ~ class_Int_Onumber__ring(X4)
% 157.62/157.79 | ~ class_Ring__and__Field_Oidom(X4) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4746_4) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10640,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | X2 = X3
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X2))
% 157.62/157.79 | ~ class_Int_Onumber__ring(X4)
% 157.62/157.79 | ~ class_Ring__and__Field_Oidom(X4) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2381]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10641,plain,
% 157.62/157.79 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.62/157.79 | ~ class_Int_Onumber__ring(X0)
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 157.62/157.79 | X1 = X3
% 157.62/157.79 | X2 = X4 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10640]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2379,plain,
% 157.62/157.79 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X0,X2,X1)),c_Orderings_Oord__class_Omax(X0,X3,X1)),X1)
% 157.62/157.79 | ~ class_Orderings_Olinorder(X1) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4748_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10636,plain,
% 157.62/157.79 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X0,X2,X1)),c_Orderings_Oord__class_Omax(X0,X3,X1)),X1)
% 157.62/157.79 | ~ class_Orderings_Olinorder(X1) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2379]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10637,plain,
% 157.62/157.79 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.79 | c_lessequals(c_Orderings_Oord__class_Omax(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3),X0),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),c_Orderings_Oord__class_Omax(X1,X2,X0)),c_Orderings_Oord__class_Omax(X1,X3,X0)),X0) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10636]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2375,plain,
% 157.62/157.79 ( c_List_Olist__update(c_List_Oappend(X0,X1,X2),X3,X4,X2) = c_List_Oappend(c_List_Olist__update(X0,X3,X4,X2),X1,X2)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4750_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10628,plain,
% 157.62/157.79 ( c_List_Olist__update(c_List_Oappend(X0,X1,X2),X3,X4,X2) = c_List_Oappend(c_List_Olist__update(X0,X3,X4,X2),X1,X2)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2375]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10629,plain,
% 157.62/157.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 157.62/157.79 | c_List_Olist__update(c_List_Oappend(X1,X3,X2),X0,X4,X2) = c_List_Oappend(c_List_Olist__update(X1,X0,X4,X2),X3,X2) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10628]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2373,plain,
% 157.62/157.79 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4751_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10624,plain,
% 157.62/157.79 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2373]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2369,plain,
% 157.62/157.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 157.62/157.79 | X1 = X3
% 157.62/157.79 | X0 = X2 ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4753_0) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10616,plain,
% 157.62/157.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 157.62/157.79 | X1 = X3
% 157.62/157.79 | X0 = X2 ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2369]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2367,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | X2 = X3
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4753_2) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10612,plain,
% 157.62/157.79 ( X0 = X1
% 157.62/157.79 | X2 = X3
% 157.62/157.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2367]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10613,plain,
% 157.62/157.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 157.62/157.79 | X0 = X2
% 157.62/157.79 | X1 = X3 ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10612]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2365,plain,
% 157.62/157.79 ( c_List_Olistsum(c_List_Omap(c_COMBK(X0,X1,X2),X3,X2,X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1)),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4755_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10608,plain,
% 157.62/157.79 ( c_List_Olistsum(c_List_Omap(c_COMBK(X0,X1,X2),X3,X2,X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1)),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2365]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10609,plain,
% 157.62/157.79 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 157.62/157.79 | c_List_Olistsum(c_List_Omap(c_COMBK(X1,X0,X2),X3,X2,X0),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X0)),X1) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10608]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2363,plain,
% 157.62/157.79 ( hBOOL(hAPP(X0,X1))
% 157.62/157.79 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X0),X3),X1)) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4756_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10604,plain,
% 157.62/157.79 ( hBOOL(hAPP(X0,X1))
% 157.62/157.79 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X0),X3),X1)) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2363]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10605,plain,
% 157.62/157.79 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3))
% 157.62/157.79 | hBOOL(hAPP(X1,X3)) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10604]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2361,plain,
% 157.62/157.79 ( hBOOL(hAPP(X0,X1))
% 157.62/157.79 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X0),X1)) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4757_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10600,plain,
% 157.62/157.79 ( hBOOL(hAPP(X0,X1))
% 157.62/157.79 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X0),X1)) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2361]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10601,plain,
% 157.62/157.79 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3))
% 157.62/157.79 | hBOOL(hAPP(X2,X3)) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10600]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2357,plain,
% 157.62/157.79 ( hBOOL(hAPP(X0,X1))
% 157.62/157.79 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4759_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10592,plain,
% 157.62/157.79 ( hBOOL(hAPP(X0,X1))
% 157.62/157.79 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2357]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10593,plain,
% 157.62/157.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 157.62/157.79 | hBOOL(hAPP(X0,X2)) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10592]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2352,plain,
% 157.62/157.79 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4))
% 157.62/157.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4761_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10582,plain,
% 157.62/157.79 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4))
% 157.62/157.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2352]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10583,plain,
% 157.62/157.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.79 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4)) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10582]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2350,plain,
% 157.62/157.79 ( c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Otake(X3,c_List_Odrop(X0,X1,X2),X2),X2) = c_List_Otake(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3),X1,X2)
% 157.62/157.79 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4766_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10578,plain,
% 157.62/157.79 ( c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Otake(X3,c_List_Odrop(X0,X1,X2),X2),X2) = c_List_Otake(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3),X1,X2)
% 157.62/157.79 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2350]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10579,plain,
% 157.62/157.79 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 157.62/157.79 | c_List_Oappend(c_List_Otake(X0,X2,X3),c_List_Otake(X1,c_List_Odrop(X0,X2,X3),X3),X3) = c_List_Otake(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,X3) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10578]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2348,plain,
% 157.62/157.79 ( c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Olist_OCons(X3,c_List_Odrop(c_Suc(X0),X1,X2),X2),X2) = c_List_Olist__update(X1,X0,X3,X2)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4771_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10574,plain,
% 157.62/157.79 ( c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Olist_OCons(X3,c_List_Odrop(c_Suc(X0),X1,X2),X2),X2) = c_List_Olist__update(X1,X0,X3,X2)
% 157.62/157.79 | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2348]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10575,plain,
% 157.62/157.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 157.62/157.79 | c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Olist_OCons(X3,c_List_Odrop(c_Suc(X0),X1,X2),X2),X2) = c_List_Olist__update(X1,X0,X3,X2) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10574]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2346,plain,
% 157.62/157.79 ( c_lessequals(c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3),X0),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),c_Orderings_Oord__class_Omax(X2,X3,X0)),X0)
% 157.62/157.79 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4772_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10570,plain,
% 157.62/157.79 ( c_lessequals(c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3),X0),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),c_Orderings_Oord__class_Omax(X2,X3,X0)),X0)
% 157.62/157.79 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2346]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10571,plain,
% 157.62/157.79 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.79 | c_lessequals(c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3),X0),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),c_Orderings_Oord__class_Omax(X2,X3,X0)),X0) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10570]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2341,plain,
% 157.62/157.79 ( c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1))
% 157.62/157.79 | c_List_Omap(X3,X0,X1,X4) != c_List_Omap(X3,X2,X1,X4) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4775_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10560,plain,
% 157.62/157.79 ( c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1))
% 157.62/157.79 | c_List_Omap(X3,X0,X1,X4) != c_List_Omap(X3,X2,X1,X4) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2341]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2339,plain,
% 157.62/157.79 ( c_List_Odistinct(X0,X1)
% 157.62/157.79 | ~ c_List_Odistinct(c_List_Omap(X2,X0,X1,X3),X3) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4776_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10556,plain,
% 157.62/157.79 ( c_List_Odistinct(X0,X1)
% 157.62/157.79 | ~ c_List_Odistinct(c_List_Omap(X2,X0,X1,X3),X3) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2339]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10557,plain,
% 157.62/157.79 ( ~ c_List_Odistinct(c_List_Omap(X0,X1,X2,X3),X3)
% 157.62/157.79 | c_List_Odistinct(X1,X2) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10556]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2331,plain,
% 157.62/157.79 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4782_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10540,plain,
% 157.62/157.79 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2331]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2329,plain,
% 157.62/157.79 ( c_List_Olistsum(c_List_Omap(c_COMBK(c_HOL_Ozero__class_Ozero(X0),X0,X1),X2,X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.79 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4785_1) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10536,plain,
% 157.62/157.79 ( c_List_Olistsum(c_List_Omap(c_COMBK(c_HOL_Ozero__class_Ozero(X0),X0,X1),X2,X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.79 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2329]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10537,plain,
% 157.62/157.79 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 157.62/157.79 | c_List_Olistsum(c_List_Omap(c_COMBK(c_HOL_Ozero__class_Ozero(X0),X0,X1),X2,X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.62/157.79 inference(rewriting,[status(thm)],[c_10536]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_2323,plain,
% 157.62/157.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 157.62/157.79 | ~ class_Int_Onumber__ring(X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.62/157.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4787_2) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10524,plain,
% 157.62/157.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 157.62/157.79 | ~ class_Int_Onumber__ring(X0)
% 157.62/157.79 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.62/157.79 inference(copy,[status(esa)],[c_2323]) ).
% 157.62/157.79
% 157.62/157.79 cnf(c_10525,plain,
% 157.62/157.79 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.62/157.80 | ~ class_Int_Onumber__ring(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10524]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2321,plain,
% 157.62/157.80 ( 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))
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4788_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10520,plain,
% 157.62/157.80 ( 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))
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2321]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10521,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.80 | 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)) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10520]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2319,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4789_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10516,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2319]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10517,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4))) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10516]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2317,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4790_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10512,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2317]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10513,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10512]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2314,plain,
% 157.62/157.80 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3))
% 157.62/157.80 | ~ hBOOL(hAPP(X1,X3))
% 157.62/157.80 | ~ hBOOL(hAPP(X2,X3)) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4791_2) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10506,plain,
% 157.62/157.80 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3))
% 157.62/157.80 | ~ hBOOL(hAPP(X1,X3))
% 157.62/157.80 | ~ hBOOL(hAPP(X2,X3)) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2314]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2305,plain,
% 157.62/157.80 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 157.62/157.80 | ~ c_lessequals(X1,X2,tc_nat)
% 157.62/157.80 | ~ c_lessequals(X1,X0,tc_nat)
% 157.62/157.80 | c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4797_0) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10488,plain,
% 157.62/157.80 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 157.62/157.80 | ~ c_lessequals(X1,X2,tc_nat)
% 157.62/157.80 | ~ c_lessequals(X1,X0,tc_nat)
% 157.62/157.80 | c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2305]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2304,plain,
% 157.62/157.80 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 157.62/157.80 | ~ c_lessequals(X1,X2,tc_nat)
% 157.62/157.80 | c_lessequals(X0,X2,tc_nat)
% 157.62/157.80 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4797_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10486,plain,
% 157.62/157.80 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 157.62/157.80 | ~ c_lessequals(X1,X2,tc_nat)
% 157.62/157.80 | c_lessequals(X0,X2,tc_nat)
% 157.62/157.80 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2304]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2302,plain,
% 157.62/157.80 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.80 | ~ c_lessequals(X2,X0,tc_nat)
% 157.62/157.80 | ~ c_lessequals(X2,X1,tc_nat)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4797_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10482,plain,
% 157.62/157.80 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.80 | ~ c_lessequals(X2,X0,tc_nat)
% 157.62/157.80 | ~ c_lessequals(X2,X1,tc_nat)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2302]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10483,plain,
% 157.62/157.80 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 157.62/157.80 | c_lessequals(X0,X2,tc_nat)
% 157.62/157.80 | ~ c_lessequals(X1,X0,tc_nat)
% 157.62/157.80 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10482]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2298,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4798_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10474,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2298]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10475,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.80 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10474]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2292,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.62/157.80 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.80 | ~ c_lessequals(X1,X4,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4799_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10462,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.62/157.80 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.80 | ~ c_lessequals(X1,X4,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2292]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10463,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.80 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.62/157.80 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.80 | ~ c_lessequals(X1,X4,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10462]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2286,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.62/157.80 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.80 | ~ c_lessequals(X1,X4,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4800_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10450,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.62/157.80 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.80 | ~ c_lessequals(X1,X4,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2286]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10451,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.80 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 157.62/157.80 | ~ c_lessequals(X3,X2,X0)
% 157.62/157.80 | ~ c_lessequals(X1,X4,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10450]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2266,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4803_5) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10410,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2266]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10411,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.80 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10410]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2264,plain,
% 157.62/157.80 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4804_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10406,plain,
% 157.62/157.80 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2264]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10407,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)
% 157.62/157.80 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10406]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2262,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4805_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10402,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2262]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10403,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10402]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2258,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4807_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10394,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2258]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10395,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10394]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2256,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4808_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10390,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2256]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10391,plain,
% 157.62/157.80 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10390]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2254,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4809_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10386,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2254]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10387,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10386]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2252,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4810_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10382,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2252]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10383,plain,
% 157.62/157.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.62/157.80 | hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3)),X2) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10382]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2250,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4811_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10378,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2250]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10379,plain,
% 157.62/157.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 157.62/157.80 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)),X2) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10378]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2248,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4812_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10374,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2248]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10375,plain,
% 157.62/157.80 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0)
% 157.62/157.80 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)),X2) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10374]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2241,plain,
% 157.62/157.80 ( c_lessequals(X0,X1,X2)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),c_Suc(X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Suc(X3)),X2)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4814_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10360,plain,
% 157.62/157.80 ( c_lessequals(X0,X1,X2)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),c_Suc(X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Suc(X3)),X2)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2241]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10361,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Suc(X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X3)),X0)
% 157.62/157.80 | c_lessequals(X2,X1,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10360]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2239,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X1)),c_Suc(X2)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X2)),X1)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4815_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10356,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X1)),c_Suc(X2)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X2)),X1)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2239]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10357,plain,
% 157.62/157.80 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 157.62/157.80 | hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X2),X0)),c_Suc(X1)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X2),X1)),X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10356]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2237,plain,
% 157.62/157.80 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.80 | c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4816_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10352,plain,
% 157.62/157.80 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.80 | c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2237]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10353,plain,
% 157.62/157.80 ( c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)
% 157.62/157.80 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10352]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2234,plain,
% 157.62/157.80 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)) != c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4817_2) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10346,plain,
% 157.62/157.80 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)) != c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2234]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10347,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.80 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10346]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2231,plain,
% 157.62/157.80 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)) != c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4818_2) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10340,plain,
% 157.62/157.80 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)) != c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2231]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10341,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10340]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2228,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4820_2) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10334,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2228]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10335,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.80 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10334]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2216,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3),X2)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4823_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10310,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3),X2)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2216]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10311,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.62/157.80 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10310]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2196,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4828_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10270,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2196]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10271,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10270]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2192,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4829_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10262,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2192]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10263,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 157.62/157.80 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10262]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2188,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4830_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10254,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2188]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10255,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10254]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2184,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4831_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10246,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2184]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10247,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 157.62/157.80 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10246]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2176,plain,
% 157.62/157.80 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1),X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4833_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10230,plain,
% 157.62/157.80 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1),X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2176]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10231,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.62/157.80 | c_lessequals(X2,X3,tc_nat)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10230]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2166,plain,
% 157.62/157.80 ( X0 = X1
% 157.62/157.80 | c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4839_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10210,plain,
% 157.62/157.80 ( X0 = X1
% 157.62/157.80 | c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2166]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10211,plain,
% 157.62/157.80 ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2)
% 157.62/157.80 | X1 = X4 ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10210]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2164,plain,
% 157.62/157.80 ( X0 = X1
% 157.62/157.80 | c_List_Oappend(X0,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4840_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10206,plain,
% 157.62/157.80 ( X0 = X1
% 157.62/157.80 | c_List_Oappend(X0,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2164]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10207,plain,
% 157.62/157.80 ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2)
% 157.62/157.80 | X0 = X3 ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10206]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2162,plain,
% 157.62/157.80 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.80 | c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(X0,c_List_Olist_OCons(X1,X2,X3),X3) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4841_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10202,plain,
% 157.62/157.80 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.80 | c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(X0,c_List_Olist_OCons(X1,X2,X3),X3) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2162]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10203,plain,
% 157.62/157.80 ( c_List_Olist_OCons(X0,c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(X1,c_List_Olist_OCons(X0,X2,X3),X3)
% 157.62/157.80 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10202]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2160,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4842_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10198,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2160]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10199,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10198]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2147,plain,
% 157.62/157.80 ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 157.62/157.80 | c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1) = X4
% 157.62/157.80 | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4846_2) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10172,plain,
% 157.62/157.80 ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 157.62/157.80 | c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1) = X4
% 157.62/157.80 | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2147]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2132,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),c_Orderings_Oord__class_Omax(X1,X2,X0)),c_Orderings_Oord__class_Omax(X1,X3,X0)) = c_Orderings_Oord__class_Omax(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3),X0)
% 157.62/157.80 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4851_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10142,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),c_Orderings_Oord__class_Omax(X1,X2,X0)),c_Orderings_Oord__class_Omax(X1,X3,X0)) = c_Orderings_Oord__class_Omax(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3),X0)
% 157.62/157.80 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2132]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10143,plain,
% 157.62/157.80 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.80 | hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),c_Orderings_Oord__class_Omax(X1,X2,X0)),c_Orderings_Oord__class_Omax(X1,X3,X0)) = c_Orderings_Oord__class_Omax(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3),X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10142]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2130,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),c_Orderings_Oord__class_Omax(X1,X2,X0)),c_Orderings_Oord__class_Omax(X3,X2,X0)) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3),X2,X0)
% 157.62/157.80 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4852_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10138,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),c_Orderings_Oord__class_Omax(X1,X2,X0)),c_Orderings_Oord__class_Omax(X3,X2,X0)) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3),X2,X0)
% 157.62/157.80 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2130]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10139,plain,
% 157.62/157.80 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.80 | hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),c_Orderings_Oord__class_Omax(X1,X2,X0)),c_Orderings_Oord__class_Omax(X3,X2,X0)) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3),X2,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10138]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2128,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),c_HOL_Ominus__class_Ominus(X3,X2,X0)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3),X2,X0)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4853_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10134,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),c_HOL_Ominus__class_Ominus(X3,X2,X0)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3),X2,X0)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2128]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10135,plain,
% 157.62/157.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.62/157.80 | hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),c_HOL_Ominus__class_Ominus(X3,X2,X0)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3),X2,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10134]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2126,plain,
% 157.62/157.80 ( 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)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4857_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10130,plain,
% 157.62/157.80 ( 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)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2126]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10131,plain,
% 157.62/157.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.62/157.80 | 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) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10130]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2124,plain,
% 157.62/157.80 ( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X3),X2),X0) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2)
% 157.62/157.80 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4858_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10126,plain,
% 157.62/157.80 ( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X3),X2),X0) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2)
% 157.62/157.80 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2124]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10127,plain,
% 157.62/157.80 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.80 | c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X3),X2),X0) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10126]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2098,plain,
% 157.62/157.80 ( c_List_Omap(X0,X1,X2,X2) = X1
% 157.62/157.80 | hAPP(X0,c_List_Osko__List__Xmap__idI__1__1(X0,X1,X2)) != c_List_Osko__List__Xmap__idI__1__1(X0,X1,X2) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4865_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10074,plain,
% 157.62/157.80 ( c_List_Omap(X0,X1,X2,X2) = X1
% 157.62/157.80 | hAPP(X0,c_List_Osko__List__Xmap__idI__1__1(X0,X1,X2)) != c_List_Osko__List__Xmap__idI__1__1(X0,X1,X2) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2098]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10075,plain,
% 157.62/157.80 ( hAPP(X0,c_List_Osko__List__Xmap__idI__1__1(X0,X1,X2)) != c_List_Osko__List__Xmap__idI__1__1(X0,X1,X2)
% 157.62/157.80 | c_List_Omap(X0,X1,X2,X2) = X1 ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10074]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2096,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4866_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10070,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2096]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10071,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10070]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2094,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4867_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10066,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2094]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10067,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10066]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2092,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))
% 157.62/157.80 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4868_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10062,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))
% 157.62/157.80 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2092]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10063,plain,
% 157.62/157.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 157.62/157.80 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10062]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2090,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))
% 157.62/157.80 | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4869_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10058,plain,
% 157.62/157.80 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))
% 157.62/157.80 | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2090]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10059,plain,
% 157.62/157.80 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0)
% 157.62/157.80 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10058]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2088,plain,
% 157.62/157.80 ( 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)
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4870_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10054,plain,
% 157.62/157.80 ( 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)
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2088]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10055,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.80 | 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) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10054]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2085,plain,
% 157.62/157.80 ( c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3,X0)
% 157.62/157.80 | ~ c_List_Olistsp(X1,X3,X0)
% 157.62/157.80 | ~ c_List_Olistsp(X2,X3,X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4871_2) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10048,plain,
% 157.62/157.80 ( c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3,X0)
% 157.62/157.80 | ~ c_List_Olistsp(X1,X3,X0)
% 157.62/157.80 | ~ c_List_Olistsp(X2,X3,X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2085]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2077,plain,
% 157.62/157.80 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 157.62/157.80 | ~ c_lessequals(X1,X0,tc_nat)
% 157.62/157.80 | ~ c_lessequals(X1,X2,tc_nat)
% 157.62/157.80 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4873_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10032,plain,
% 157.62/157.80 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 157.62/157.80 | ~ c_lessequals(X1,X0,tc_nat)
% 157.62/157.80 | ~ c_lessequals(X1,X2,tc_nat)
% 157.62/157.80 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2077]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2068,plain,
% 157.62/157.80 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4876_2) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10014,plain,
% 157.62/157.80 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2068]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10015,plain,
% 157.62/157.80 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 157.62/157.80 | c_lessequals(X1,X2,tc_nat)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10014]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2063,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 157.62/157.80 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4878_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10004,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 157.62/157.80 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2063]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10005,plain,
% 157.62/157.80 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10004]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2061,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4879_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10000,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 157.62/157.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2061]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_10001,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_10000]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2056,plain,
% 157.62/157.80 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.80 | X2 = X3
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3))
% 157.62/157.80 | ~ class_Int_Onumber__ring(X1)
% 157.62/157.80 | ~ class_Ring__and__Field_Oidom(X1) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4880_4) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9990,plain,
% 157.62/157.80 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.80 | X2 = X3
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3))
% 157.62/157.80 | ~ class_Int_Onumber__ring(X1)
% 157.62/157.80 | ~ class_Ring__and__Field_Oidom(X1) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2056]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9991,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.62/157.80 | ~ class_Int_Onumber__ring(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 157.62/157.80 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.80 | X3 = X4 ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9990]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2054,plain,
% 157.62/157.80 ( 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)
% 157.62/157.80 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4883_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9986,plain,
% 157.62/157.80 ( 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)
% 157.62/157.80 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2054]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9987,plain,
% 157.62/157.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.80 | 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) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9986]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2052,plain,
% 157.62/157.80 ( 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)
% 157.62/157.80 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4884_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9982,plain,
% 157.62/157.80 ( 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)
% 157.62/157.80 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2052]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9983,plain,
% 157.62/157.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.80 | 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) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9982]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2048,plain,
% 157.62/157.80 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.62/157.80 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 157.62/157.80 | ~ c_lessequals(X4,X3,X1)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4885_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9974,plain,
% 157.62/157.80 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.62/157.80 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 157.62/157.80 | ~ c_lessequals(X4,X3,X1)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2048]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2046,plain,
% 157.62/157.80 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1),tc_nat) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4886_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9970,plain,
% 157.62/157.80 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1),tc_nat) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2046]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9971,plain,
% 157.62/157.80 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 157.62/157.80 | c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9970]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2044,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1),tc_nat) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4887_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9966,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1),tc_nat) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2044]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9967,plain,
% 157.62/157.80 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 157.62/157.80 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9966]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2041,plain,
% 157.62/157.80 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.80 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4888_2) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9960,plain,
% 157.62/157.80 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.80 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2041]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2039,plain,
% 157.62/157.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.80 | 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)
% 157.62/157.80 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4892_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9956,plain,
% 157.62/157.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.80 | 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)
% 157.62/157.80 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2039]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9957,plain,
% 157.62/157.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.80 | ~ c_lessequals(X0,X2,tc_nat)
% 157.62/157.80 | 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) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9956]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2034,plain,
% 157.62/157.80 ( 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)
% 157.62/157.80 | ~ c_lessequals(X2,X0,tc_nat) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4894_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9946,plain,
% 157.62/157.80 ( 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)
% 157.62/157.80 | ~ c_lessequals(X2,X0,tc_nat) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2034]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9947,plain,
% 157.62/157.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.80 | 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) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9946]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2032,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4895_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9942,plain,
% 157.62/157.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2032]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9943,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.62/157.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9942]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2026,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4897_2) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9930,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2026]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9931,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.80 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9930]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2023,plain,
% 157.62/157.80 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X1),X2))
% 157.62/157.80 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),X2))
% 157.62/157.80 | ~ c_Lambda_Obeta(X3,X1) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4898_2) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9924,plain,
% 157.62/157.80 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X1),X2))
% 157.62/157.80 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),X2))
% 157.62/157.80 | ~ c_Lambda_Obeta(X3,X1) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2023]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2020,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.80 | ~ 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)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4899_2) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9918,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.80 | ~ 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)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2020]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9919,plain,
% 157.62/157.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.62/157.80 | ~ 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)
% 157.62/157.80 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9918]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2017,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.80 | ~ 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)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4900_2) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9912,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.80 | ~ 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)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2017]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9913,plain,
% 157.62/157.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.62/157.80 | ~ 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)
% 157.62/157.80 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9912]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2014,plain,
% 157.62/157.80 ( c_lessequals(X0,X1,X2)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4901_2) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9906,plain,
% 157.62/157.80 ( c_lessequals(X0,X1,X2)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2014]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9907,plain,
% 157.62/157.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 157.62/157.80 | c_lessequals(X2,X3,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9906]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2011,plain,
% 157.62/157.80 ( c_lessequals(X0,X1,X2)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4902_2) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9900,plain,
% 157.62/157.80 ( c_lessequals(X0,X1,X2)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 157.62/157.80 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2011]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9901,plain,
% 157.62/157.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 157.62/157.80 | c_lessequals(X1,X3,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9900]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2005,plain,
% 157.62/157.80 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 157.62/157.80 | ~ c_lessequals(X2,X1,tc_nat)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4904_2) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9888,plain,
% 157.62/157.80 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 157.62/157.80 | ~ c_lessequals(X2,X1,tc_nat)
% 157.62/157.80 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2005]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9889,plain,
% 157.62/157.80 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 157.62/157.80 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 157.62/157.80 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9888]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_2003,plain,
% 157.62/157.80 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 157.62/157.80 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4906_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9884,plain,
% 157.62/157.80 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 157.62/157.80 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_2003]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_1995,plain,
% 157.62/157.80 ( hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(X0),X1),X2),X3),X4) = hAPP(X1,c_HOL_Ominus__class_Ominus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,X4,tc_nat) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4909_1) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9868,plain,
% 157.62/157.80 ( hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(X0),X1),X2),X3),X4) = hAPP(X1,c_HOL_Ominus__class_Ominus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,X4,tc_nat) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_1995]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9869,plain,
% 157.62/157.80 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.80 | hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(X2),X3),X0),X4),X1) = hAPP(X3,c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9868]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_1981,plain,
% 157.62/157.80 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Omult__mono1(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4912_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9840,plain,
% 157.62/157.80 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Omult__mono1(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_1981]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9841,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | ~ c_lessequals(X2,X3,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9840]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_1977,plain,
% 157.62/157.80 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4913_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9832,plain,
% 157.62/157.80 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_1977]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9833,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | ~ c_lessequals(X2,X3,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9832]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_1973,plain,
% 157.62/157.80 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.62/157.80 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4914_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9824,plain,
% 157.62/157.80 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.62/157.80 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_1973]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9825,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 157.62/157.80 | ~ c_lessequals(X2,X3,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9824]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_1961,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4917_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9800,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_1961]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9801,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9800]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_1945,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4921_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9768,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_1945]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9769,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9768]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_1949,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4920_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9776,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_1949]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9777,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9776]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_1933,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4924_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9744,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_1933]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9745,plain,
% 157.62/157.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.80 inference(rewriting,[status(thm)],[c_9744]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_1921,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4927_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9720,plain,
% 157.62/157.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.80 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.80 inference(copy,[status(esa)],[c_1921]) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_1909,plain,
% 157.62/157.80 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 157.62/157.80 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4930_3) ).
% 157.62/157.80
% 157.62/157.80 cnf(c_9696,plain,
% 157.62/157.80 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 157.62/157.80 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.80 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1909]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9697,plain,
% 157.62/157.81 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 157.62/157.81 | ~ c_lessequals(X1,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9696]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1897,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4934_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9672,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1897]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9673,plain,
% 157.62/157.81 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9672]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1893,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.62/157.81 | ~ c_lessequals(X2,X3,tc_nat)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4935_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9664,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.62/157.81 | ~ c_lessequals(X2,X3,tc_nat)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1893]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9665,plain,
% 157.62/157.81 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.81 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 157.62/157.81 | ~ c_lessequals(X2,X3,tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9664]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1891,plain,
% 157.62/157.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1)
% 157.62/157.81 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4936_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9660,plain,
% 157.62/157.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1)
% 157.62/157.81 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1891]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9661,plain,
% 157.62/157.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9660]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1887,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.81 | ~ c_lessequals(X2,X4,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4938_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9652,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.81 | ~ c_lessequals(X2,X4,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1887]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9653,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.62/157.81 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.81 | 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9652]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1879,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4940_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9636,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1879]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9637,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.62/157.81 | 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9636]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1875,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 157.62/157.81 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.81 | ~ c_lessequals(X2,X4,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4941_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9628,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 157.62/157.81 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.81 | ~ c_lessequals(X2,X4,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1875]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9629,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 157.62/157.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 157.62/157.81 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.81 | ~ c_lessequals(X2,X4,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9628]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1873,plain,
% 157.62/157.81 ( c_List_Olistsp(X0,X1,X2)
% 157.62/157.81 | ~ hBOOL(hAPP(X0,c_List_Osko__List__Xin__listsp__conv__set__1__1(X0,X1,X2))) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4942_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9624,plain,
% 157.62/157.81 ( c_List_Olistsp(X0,X1,X2)
% 157.62/157.81 | ~ hBOOL(hAPP(X0,c_List_Osko__List__Xin__listsp__conv__set__1__1(X0,X1,X2))) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1873]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9625,plain,
% 157.62/157.81 ( ~ hBOOL(hAPP(X0,c_List_Osko__List__Xin__listsp__conv__set__1__1(X0,X1,X2)))
% 157.62/157.81 | c_List_Olistsp(X0,X1,X2) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9624]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1871,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4943_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9620,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1871]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9621,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.62/157.81 | 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) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9620]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1868,plain,
% 157.62/157.81 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.81 | X1 = X2
% 157.62/157.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4945_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9614,plain,
% 157.62/157.81 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.81 | X1 = X2
% 157.62/157.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1868]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9615,plain,
% 157.62/157.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3))
% 157.62/157.81 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.81 | X2 = X3 ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9614]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1865,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 157.62/157.81 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4947_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9608,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 157.62/157.81 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1865]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9609,plain,
% 157.62/157.81 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.81 | 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9608]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1862,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4948_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9602,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1862]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1860,plain,
% 157.62/157.81 ( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3),X0) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),c_Orderings_Oord__class_Omax(X2,X3,X0))
% 157.62/157.81 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4950_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9598,plain,
% 157.62/157.81 ( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3),X0) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),c_Orderings_Oord__class_Omax(X2,X3,X0))
% 157.62/157.81 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1860]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9599,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3),X0) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),c_Orderings_Oord__class_Omax(X2,X3,X0)) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9598]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1858,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4951_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9594,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1858]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1856,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4952_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9590,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1856]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1854,plain,
% 157.62/157.81 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 157.62/157.81 | ~ c_lessequals(X2,X1,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4953_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9586,plain,
% 157.62/157.81 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 157.62/157.81 | ~ c_lessequals(X2,X1,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1854]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1844,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.81 | ~ 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) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4956_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9566,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.81 | ~ 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) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1844]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9567,plain,
% 157.62/157.81 ( ~ 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)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9566]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1842,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4957_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9562,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1842]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9563,plain,
% 157.62/157.81 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9562]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1840,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4958_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9558,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1840]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9559,plain,
% 157.62/157.81 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9558]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1838,plain,
% 157.62/157.81 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.81 | ~ 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) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4959_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9554,plain,
% 157.62/157.81 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.81 | ~ 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) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1838]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9555,plain,
% 157.62/157.81 ( ~ 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)
% 157.62/157.81 | c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9554]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1832,plain,
% 157.62/157.81 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 157.62/157.81 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4962_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9542,plain,
% 157.62/157.81 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 157.62/157.81 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1832]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9543,plain,
% 157.62/157.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9542]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1830,plain,
% 157.62/157.81 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 157.62/157.81 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4963_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9538,plain,
% 157.62/157.81 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 157.62/157.81 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1830]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9539,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 157.62/157.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9538]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1828,plain,
% 157.62/157.81 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))
% 157.62/157.81 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4964_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9534,plain,
% 157.62/157.81 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))
% 157.62/157.81 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1828]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9535,plain,
% 157.62/157.81 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.81 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9534]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1826,plain,
% 157.62/157.81 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))
% 157.62/157.81 | ~ class_Lattices_Olattice(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4965_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9530,plain,
% 157.62/157.81 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))
% 157.62/157.81 | ~ class_Lattices_Olattice(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1826]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9531,plain,
% 157.62/157.81 ( ~ class_Lattices_Olattice(X0)
% 157.62/157.81 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9530]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1824,plain,
% 157.62/157.81 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2)),X3) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3))
% 157.62/157.81 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4966_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9526,plain,
% 157.62/157.81 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2)),X3) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3))
% 157.62/157.81 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1824]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9527,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2)),X3) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3)) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9526]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1818,plain,
% 157.62/157.81 ( 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))
% 157.62/157.81 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4969_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9514,plain,
% 157.62/157.81 ( 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))
% 157.62/157.81 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1818]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9515,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 157.62/157.81 | 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)) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9514]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1816,plain,
% 157.62/157.81 ( 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))
% 157.62/157.81 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4970_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9510,plain,
% 157.62/157.81 ( 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))
% 157.62/157.81 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1816]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9511,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.62/157.81 | 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)) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9510]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1814,plain,
% 157.62/157.81 ( 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))
% 157.62/157.81 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4971_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9506,plain,
% 157.62/157.81 ( 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))
% 157.62/157.81 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1814]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9507,plain,
% 157.62/157.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.81 | 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)) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9506]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1812,plain,
% 157.62/157.81 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 157.62/157.81 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4972_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9502,plain,
% 157.62/157.81 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 157.62/157.81 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1812]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9503,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.62/157.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9502]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1810,plain,
% 157.62/157.81 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 157.62/157.81 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4975_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9498,plain,
% 157.62/157.81 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 157.62/157.81 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1810]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9499,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.62/157.81 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9498]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1808,plain,
% 157.62/157.81 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 157.62/157.81 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4976_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9494,plain,
% 157.62/157.81 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 157.62/157.81 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1808]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9495,plain,
% 157.62/157.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.81 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9494]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1793,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4981_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9464,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1793]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9465,plain,
% 157.62/157.81 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9464]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1796,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4980_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9470,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1796]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9471,plain,
% 157.62/157.81 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9470]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1787,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat)
% 157.62/157.81 | ~ c_lessequals(X0,X2,tc_nat)
% 157.62/157.81 | ~ c_lessequals(X1,X3,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4983_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9452,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat)
% 157.62/157.81 | ~ c_lessequals(X0,X2,tc_nat)
% 157.62/157.81 | ~ c_lessequals(X1,X3,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1787]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1784,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4984_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9446,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1784]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1781,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_lessequals(X0,X2,tc_nat)
% 157.62/157.81 | ~ c_lessequals(X1,X3,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4985_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9440,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_lessequals(X0,X2,tc_nat)
% 157.62/157.81 | ~ c_lessequals(X1,X3,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1781]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1777,plain,
% 157.62/157.81 ( X0 = c_List_Olist_ONil(X1)
% 157.62/157.81 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4987_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9432,plain,
% 157.62/157.81 ( X0 = c_List_Olist_ONil(X1)
% 157.62/157.81 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1777]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9433,plain,
% 157.62/157.81 ( c_List_Omap(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 157.62/157.81 | X1 = c_List_Olist_ONil(X2) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9432]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1775,plain,
% 157.62/157.81 ( X0 = c_List_Olist_ONil(X1)
% 157.62/157.81 | c_List_Olist__update(X0,X2,X3,X1) != c_List_Olist_ONil(X1) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4988_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9428,plain,
% 157.62/157.81 ( X0 = c_List_Olist_ONil(X1)
% 157.62/157.81 | c_List_Olist__update(X0,X2,X3,X1) != c_List_Olist_ONil(X1) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1775]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9429,plain,
% 157.62/157.81 ( c_List_Olist__update(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 157.62/157.81 | X0 = c_List_Olist_ONil(X3) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9428]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1770,plain,
% 157.62/157.81 ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 157.62/157.81 | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4990_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9418,plain,
% 157.62/157.81 ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 157.62/157.81 | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1770]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9419,plain,
% 157.62/157.81 ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 157.62/157.81 | c_List_Olist__update(X0,X2,X3,X1) = X0 ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9418]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1768,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4991_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9414,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1768]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1766,plain,
% 157.62/157.81 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4992_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9410,plain,
% 157.62/157.81 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1766]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9411,plain,
% 157.62/157.81 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 157.62/157.81 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9410]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1764,plain,
% 157.62/157.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1)
% 157.62/157.81 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4993_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9406,plain,
% 157.62/157.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1)
% 157.62/157.81 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1764]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9407,plain,
% 157.62/157.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9406]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1762,plain,
% 157.62/157.81 ( c_List_Oappend(X0,c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X1) = X2
% 157.62/157.81 | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4994_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9402,plain,
% 157.62/157.81 ( c_List_Oappend(X0,c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X1) = X2
% 157.62/157.81 | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1762]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1738,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5000_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9354,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1738]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1727,plain,
% 157.62/157.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 157.62/157.81 | 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)
% 157.62/157.81 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5003_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9332,plain,
% 157.62/157.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 157.62/157.81 | 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)
% 157.62/157.81 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1727]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9333,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 157.62/157.81 | 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)
% 157.62/157.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9332]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1720,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5005_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9318,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1720]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9319,plain,
% 157.62/157.81 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.81 | 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) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9318]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1718,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5007_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9314,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1718]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9315,plain,
% 157.62/157.81 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9314]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1716,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 157.62/157.81 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5008_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9310,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 157.62/157.81 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1716]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1712,plain,
% 157.62/157.81 ( 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))
% 157.62/157.81 | ~ c_lessequals(X2,X1,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5012_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9302,plain,
% 157.62/157.81 ( 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))
% 157.62/157.81 | ~ c_lessequals(X2,X1,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1712]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9303,plain,
% 157.62/157.81 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.81 | 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)) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9302]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1710,plain,
% 157.62/157.81 ( c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2))
% 157.62/157.81 | ~ c_Lambda_Obeta(X0,X3) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5013_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9298,plain,
% 157.62/157.81 ( c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2))
% 157.62/157.81 | ~ c_Lambda_Obeta(X0,X3) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1710]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1708,plain,
% 157.62/157.81 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.81 | c_Nat_Onat_Onat__case(X1,X2,X0,X3) = hAPP(X2,c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5014_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9294,plain,
% 157.62/157.81 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.81 | c_Nat_Onat_Onat__case(X1,X2,X0,X3) = hAPP(X2,c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1708]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9295,plain,
% 157.62/157.81 ( c_Nat_Onat_Onat__case(X0,X1,X2,X3) = hAPP(X1,c_HOL_Ominus__class_Ominus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 157.62/157.81 | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9294]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1703,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5017_0) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9284,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1703]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1700,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5017_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9278,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1700]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9279,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9278]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1699,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 157.62/157.81 | c_lessequals(X1,X3,X0)
% 157.62/157.81 | c_lessequals(X1,X2,X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5018_0) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9276,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 157.62/157.81 | c_lessequals(X1,X3,X0)
% 157.62/157.81 | c_lessequals(X1,X2,X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1699]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1696,plain,
% 157.62/157.81 ( c_lessequals(X0,X1,X2)
% 157.62/157.81 | c_lessequals(X0,X3,X2)
% 157.62/157.81 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5018_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9270,plain,
% 157.62/157.81 ( c_lessequals(X0,X1,X2)
% 157.62/157.81 | c_lessequals(X0,X3,X2)
% 157.62/157.81 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1696]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9271,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 157.62/157.81 | c_lessequals(X1,X2,X0)
% 157.62/157.81 | c_lessequals(X1,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9270]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1694,plain,
% 157.62/157.81 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 157.62/157.81 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5019_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9266,plain,
% 157.62/157.81 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 157.62/157.81 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1694]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9267,plain,
% 157.62/157.81 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 157.62/157.81 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9266]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1692,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 157.62/157.81 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5021_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9262,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 157.62/157.81 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1692]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1690,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5022_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9258,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1690]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1689,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5023_0) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9256,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1689]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1686,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X0),X3),X1,X2)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5023_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9250,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X0),X3),X1,X2)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1686]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9251,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9250]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1685,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.81 | c_lessequals(X2,X3,X0)
% 157.62/157.81 | c_lessequals(X1,X3,X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5024_0) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9248,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.81 | c_lessequals(X2,X3,X0)
% 157.62/157.81 | c_lessequals(X1,X3,X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1685]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1682,plain,
% 157.62/157.81 ( c_lessequals(X0,X1,X2)
% 157.62/157.81 | c_lessequals(X3,X1,X2)
% 157.62/157.81 | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X0),X3),X1,X2)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5024_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9242,plain,
% 157.62/157.81 ( c_lessequals(X0,X1,X2)
% 157.62/157.81 | c_lessequals(X3,X1,X2)
% 157.62/157.81 | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X0),X3),X1,X2)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1682]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9243,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.81 | c_lessequals(X1,X3,X0)
% 157.62/157.81 | c_lessequals(X2,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9242]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1678,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5029_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9234,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1678]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1670,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5031_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9218,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1670]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1666,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5032_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9210,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1666]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1662,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5033_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9202,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1662]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1658,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5034_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9194,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1658]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9195,plain,
% 157.62/157.81 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 157.62/157.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9194]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1654,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5035_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9186,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1654]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9187,plain,
% 157.62/157.81 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9186]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1650,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5036_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9178,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1650]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9179,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.62/157.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9178]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1638,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5039_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9154,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1638]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9155,plain,
% 157.62/157.81 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9154]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1634,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5040_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9146,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1634]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9147,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9146]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1618,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5044_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9114,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1618]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9115,plain,
% 157.62/157.81 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9114]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1602,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5048_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9082,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1602]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9083,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9082]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1594,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5050_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9066,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1594]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9067,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9066]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1590,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5051_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9058,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1590]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9059,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.62/157.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9058]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1582,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5053_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9042,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1582]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1578,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5054_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9034,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1578]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9035,plain,
% 157.62/157.81 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9034]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1574,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5055_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9026,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1574]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9027,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.62/157.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9026]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1571,plain,
% 157.62/157.81 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.62/157.81 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.62/157.81 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5056_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9020,plain,
% 157.62/157.81 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.62/157.81 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.62/157.81 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1571]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1568,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5057_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9014,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1568]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1564,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5058_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9006,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 157.62/157.81 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1564]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_9007,plain,
% 157.62/157.81 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_9006]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1544,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 157.62/157.81 | ~ c_lessequals(X0,X3,X1)
% 157.62/157.81 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5062_4) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8966,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 157.62/157.81 | ~ c_lessequals(X0,X3,X1)
% 157.62/157.81 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1544]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8967,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.62/157.81 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.62/157.81 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8966]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1541,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5063_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8960,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1541]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8961,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.62/157.81 | 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8960]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1538,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5064_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8954,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1538]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8955,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.62/157.81 | 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8954]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1535,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5065_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8948,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1535]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8949,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.62/157.81 | 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8948]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1532,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5066_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8942,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1532]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8943,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.62/157.81 | 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)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8942]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1529,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 157.62/157.81 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5067_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8936,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 157.62/157.81 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1529]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8937,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 157.62/157.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 157.62/157.81 | ~ c_lessequals(X2,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8936]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1526,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 157.62/157.81 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5068_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8930,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 157.62/157.81 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1526]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8931,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 157.62/157.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 157.62/157.81 | ~ c_lessequals(X1,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8930]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1523,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 157.62/157.81 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5069_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8924,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 157.62/157.81 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1523]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8925,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.62/157.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 157.62/157.81 | ~ c_lessequals(X2,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8924]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1520,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 157.62/157.81 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5070_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8918,plain,
% 157.62/157.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 157.62/157.81 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1520]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8919,plain,
% 157.62/157.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.62/157.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 157.62/157.81 | ~ c_lessequals(X1,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8918]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1518,plain,
% 157.62/157.81 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5071_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8914,plain,
% 157.62/157.81 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1518]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8915,plain,
% 157.62/157.81 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8914]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1515,plain,
% 157.62/157.81 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5072_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8908,plain,
% 157.62/157.81 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1515]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8909,plain,
% 157.62/157.81 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8908]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1508,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 157.62/157.81 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5074_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8894,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 157.62/157.81 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1508]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1506,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 157.62/157.81 | ~ c_lessequals(X2,X1,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5075_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8890,plain,
% 157.62/157.81 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 157.62/157.81 | ~ c_lessequals(X2,X1,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1506]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1505,plain,
% 157.62/157.81 ( ~ 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)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5076_0) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8888,plain,
% 157.62/157.81 ( ~ 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)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1505]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1503,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.62/157.81 | ~ 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) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5076_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8884,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.62/157.81 | ~ 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) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1503]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8885,plain,
% 157.62/157.81 ( ~ 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)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8884]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1501,plain,
% 157.62/157.81 ( hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(X0),X1),X2),X3),X4) = hAPP(X1,X4)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X4,X2,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5077_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8880,plain,
% 157.62/157.81 ( hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(X0),X1),X2),X3),X4) = hAPP(X1,X4)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X4,X2,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1501]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8881,plain,
% 157.62/157.81 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.81 | hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(X2),X3),X1),X4),X0) = hAPP(X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8880]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1489,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5080_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8856,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1489]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8857,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8856]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1485,plain,
% 157.62/157.81 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 157.62/157.81 | ~ c_lessequals(X0,X3,X2)
% 157.62/157.81 | ~ c_lessequals(X1,X3,X2)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5081_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8848,plain,
% 157.62/157.81 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 157.62/157.81 | ~ c_lessequals(X0,X3,X2)
% 157.62/157.81 | ~ c_lessequals(X1,X3,X2)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1485]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8849,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 157.62/157.81 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.81 | ~ c_lessequals(X2,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8848]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1481,plain,
% 157.62/157.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 157.62/157.81 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5083_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8840,plain,
% 157.62/157.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 157.62/157.81 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1481]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8841,plain,
% 157.62/157.81 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8840]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1469,plain,
% 157.62/157.81 ( c_lessequals(X0,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1)
% 157.62/157.81 | ~ c_lessequals(X0,X2,X1)
% 157.62/157.81 | ~ c_lessequals(X0,X3,X1)
% 157.62/157.81 | ~ class_Lattices_Olower__semilattice(X1) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5086_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8816,plain,
% 157.62/157.81 ( c_lessequals(X0,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1)
% 157.62/157.81 | ~ c_lessequals(X0,X2,X1)
% 157.62/157.81 | ~ c_lessequals(X0,X3,X1)
% 157.62/157.81 | ~ class_Lattices_Olower__semilattice(X1) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1469]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8817,plain,
% 157.62/157.81 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.81 | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3),X0)
% 157.62/157.81 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.81 | ~ c_lessequals(X1,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8816]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1465,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X1) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5087_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8808,plain,
% 157.62/157.81 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X1) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1465]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8809,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3),X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8808]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1453,plain,
% 157.62/157.81 ( c_lessequals(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1)
% 157.62/157.81 | ~ c_lessequals(X0,X2,X1)
% 157.62/157.81 | ~ c_lessequals(X0,X3,X1)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X1) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5090_3) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8784,plain,
% 157.62/157.81 ( c_lessequals(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1)
% 157.62/157.81 | ~ c_lessequals(X0,X2,X1)
% 157.62/157.81 | ~ c_lessequals(X0,X3,X1)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X1) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1453]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8785,plain,
% 157.62/157.81 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.81 | c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3),X0)
% 157.62/157.81 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.81 | ~ c_lessequals(X1,X3,X0) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8784]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1447,plain,
% 157.62/157.81 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5092_1) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8772,plain,
% 157.62/157.81 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1447]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8773,plain,
% 157.62/157.81 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.62/157.81 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 157.62/157.81 inference(rewriting,[status(thm)],[c_8772]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1443,plain,
% 157.62/157.81 ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 157.62/157.81 | ~ c_List_Olistsp(X0,X1,X3)
% 157.62/157.81 | ~ c_List_Olistsp(X0,X2,X3) ),
% 157.62/157.81 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5093_2) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_8764,plain,
% 157.62/157.81 ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 157.62/157.81 | ~ c_List_Olistsp(X0,X1,X3)
% 157.62/157.81 | ~ c_List_Olistsp(X0,X2,X3) ),
% 157.62/157.81 inference(copy,[status(esa)],[c_1443]) ).
% 157.62/157.81
% 157.62/157.81 cnf(c_1441,plain,
% 157.62/157.81 ( 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)
% 157.62/157.81 | ~ class_Orderings_Olinorder(X3) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5095_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8760,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X3) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1441]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8761,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | 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) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8760]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1439,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5096_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8756,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1439]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8757,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | 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) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8756]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1437,plain,
% 157.62/157.82 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.82 | c_List_Odrop(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5097_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8752,plain,
% 157.62/157.82 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.82 | c_List_Odrop(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1437]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8753,plain,
% 157.62/157.82 ( c_List_Odrop(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
% 157.62/157.82 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8752]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1435,plain,
% 157.62/157.82 ( hAPP(X0,X1) = X2
% 157.62/157.82 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_Lambda_OdB_OVar(X1)),X2)) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5099_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8748,plain,
% 157.62/157.82 ( hAPP(X0,X1) = X2
% 157.62/157.82 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_Lambda_OdB_OVar(X1)),X2)) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1435]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8749,plain,
% 157.62/157.82 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_Lambda_OdB_OVar(X1)),X2))
% 157.62/157.82 | hAPP(X0,X1) = X2 ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8748]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1411,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5107_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8700,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1411]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1409,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 157.62/157.82 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5117_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8696,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 157.62/157.82 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1409]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8697,plain,
% 157.62/157.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.82 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8696]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1407,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 157.62/157.82 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5118_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8692,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 157.62/157.82 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1407]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8693,plain,
% 157.62/157.82 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.62/157.82 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8692]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1385,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 157.62/157.82 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5128_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8648,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 157.62/157.82 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1385]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1383,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 157.62/157.82 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5129_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8644,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 157.62/157.82 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1383]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1381,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5130_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8640,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1381]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1379,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5131_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8636,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1379]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1377,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5132_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8632,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1377]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1375,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5133_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8628,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1375]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1372,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5134_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8622,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1372]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8623,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8622]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1369,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5135_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8616,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1369]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8617,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8616]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1360,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5138_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8598,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1360]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8599,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 157.62/157.82 | c_lessequals(X1,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8598]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1357,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5139_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8592,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1357]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8593,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 157.62/157.82 | c_lessequals(X2,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8592]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1355,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3))
% 157.62/157.82 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5140_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8588,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3))
% 157.62/157.82 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1355]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8589,plain,
% 157.62/157.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.82 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8588]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1353,plain,
% 157.62/157.82 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3))
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5141_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8584,plain,
% 157.62/157.82 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3))
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1353]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8585,plain,
% 157.62/157.82 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.82 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8584]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1351,plain,
% 157.62/157.82 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3))
% 157.62/157.82 | ~ class_Lattices_Olattice(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5142_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8580,plain,
% 157.62/157.82 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3))
% 157.62/157.82 | ~ class_Lattices_Olattice(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1351]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8581,plain,
% 157.62/157.82 ( ~ class_Lattices_Olattice(X0)
% 157.62/157.82 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8580]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1349,plain,
% 157.62/157.82 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3))
% 157.62/157.82 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5143_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8576,plain,
% 157.62/157.82 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3))
% 157.62/157.82 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1349]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8577,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X3)) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8576]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1347,plain,
% 157.62/157.82 ( 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))
% 157.62/157.82 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5144_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8572,plain,
% 157.62/157.82 ( 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))
% 157.62/157.82 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1347]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8573,plain,
% 157.62/157.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.82 | 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)) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8572]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1345,plain,
% 157.62/157.82 ( 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))
% 157.62/157.82 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5145_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8568,plain,
% 157.62/157.82 ( 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))
% 157.62/157.82 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1345]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8569,plain,
% 157.62/157.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.62/157.82 | 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)) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8568]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1343,plain,
% 157.62/157.82 ( 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))
% 157.62/157.82 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5146_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8564,plain,
% 157.62/157.82 ( 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))
% 157.62/157.82 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1343]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8565,plain,
% 157.62/157.82 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 157.62/157.82 | 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)) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8564]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1340,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 157.62/157.82 | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5147_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8558,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 157.62/157.82 | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1340]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8559,plain,
% 157.62/157.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8558]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1335,plain,
% 157.62/157.82 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.62/157.82 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5151_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8548,plain,
% 157.62/157.82 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.62/157.82 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1335]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8549,plain,
% 157.62/157.82 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.62/157.82 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8548]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1333,plain,
% 157.62/157.82 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.62/157.82 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5152_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8544,plain,
% 157.62/157.82 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 157.62/157.82 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1333]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8545,plain,
% 157.62/157.82 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.62/157.82 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8544]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1331,plain,
% 157.62/157.82 ( c_List_Olistsp(X0,X1,X2)
% 157.62/157.82 | ~ c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5153_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8540,plain,
% 157.62/157.82 ( c_List_Olistsp(X0,X1,X2)
% 157.62/157.82 | ~ c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1331]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8541,plain,
% 157.62/157.82 ( ~ c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 157.62/157.82 | c_List_Olistsp(X0,X1,X3) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8540]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1329,plain,
% 157.62/157.82 ( c_List_Olistsp(X0,X1,X2)
% 157.62/157.82 | ~ c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5154_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8536,plain,
% 157.62/157.82 ( c_List_Olistsp(X0,X1,X2)
% 157.62/157.82 | ~ c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1329]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8537,plain,
% 157.62/157.82 ( ~ c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 157.62/157.82 | c_List_Olistsp(X0,X2,X3) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8536]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1320,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X0,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X1),X2)
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5157_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8518,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X0,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X1),X2)
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1320]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8519,plain,
% 157.62/157.82 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.82 | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3),X0)
% 157.62/157.82 | c_lessequals(X1,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8518]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1317,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X0,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X1),X3),X2)
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5158_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8512,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X0,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X1),X3),X2)
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1317]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8513,plain,
% 157.62/157.82 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.82 | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3),X0)
% 157.62/157.82 | c_lessequals(X1,X2,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8512]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1314,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X1),X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5159_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8506,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X1),X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1314]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8507,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3),X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8506]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1311,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X1),X3),X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5160_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8500,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X1),X3),X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1311]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8501,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3),X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8500]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1302,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X1),X3),X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5163_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8482,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X1),X3),X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1302]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8483,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3),X0)
% 157.62/157.82 | c_lessequals(X1,X2,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8482]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1299,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X1),X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5164_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8476,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X1),X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1299]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8477,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X3),X0)
% 157.62/157.82 | c_lessequals(X1,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8476]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1297,plain,
% 157.62/157.82 ( X0 = c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
% 157.62/157.82 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5165_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8472,plain,
% 157.62/157.82 ( X0 = c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
% 157.62/157.82 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1297]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8473,plain,
% 157.62/157.82 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 157.62/157.82 | X0 = c_List_Oappend(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),X1) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8472]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1293,plain,
% 157.62/157.82 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5167_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8464,plain,
% 157.62/157.82 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1293]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8465,plain,
% 157.62/157.82 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8464]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1291,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5173_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8460,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1291]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8461,plain,
% 157.62/157.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8460]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1277,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5177_3) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8432,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1277]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8433,plain,
% 157.62/157.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.62/157.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | 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) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8432]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1275,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.82 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5178_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8428,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.82 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1275]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8429,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 157.62/157.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8428]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1273,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.82 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5179_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8424,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.82 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1273]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8425,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 157.62/157.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8424]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1271,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5182_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8420,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1271]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8421,plain,
% 157.62/157.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.62/157.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8420]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1269,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5183_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8416,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1269]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8417,plain,
% 157.62/157.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 157.62/157.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8416]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1266,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 157.62/157.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5187_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8410,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 157.62/157.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1266]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1264,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5188_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8406,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1264]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8407,plain,
% 157.62/157.82 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 157.62/157.82 | c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8406]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1262,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5189_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8402,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1262]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8403,plain,
% 157.62/157.82 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 157.62/157.82 | c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8402]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1260,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5190_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8398,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1260]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8399,plain,
% 157.62/157.82 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8398]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1257,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5191_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8392,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1257]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8393,plain,
% 157.62/157.82 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8392]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1255,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 157.62/157.82 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5192_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8388,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 157.62/157.82 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1255]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8389,plain,
% 157.62/157.82 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 157.62/157.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8388]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1248,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.82 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5197_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8374,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.82 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1248]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1245,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5198_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8368,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1245]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1242,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5199_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8362,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1242]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8363,plain,
% 157.62/157.82 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8362]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1239,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5200_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8356,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1239]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1236,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5201_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8350,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1236]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1233,plain,
% 157.62/157.82 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 157.62/157.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.82 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5202_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8344,plain,
% 157.62/157.82 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 157.62/157.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.82 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1233]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1230,plain,
% 157.62/157.82 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 157.62/157.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5203_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8338,plain,
% 157.62/157.82 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 157.62/157.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1230]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8339,plain,
% 157.62/157.82 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.82 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 157.62/157.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8338]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1227,plain,
% 157.62/157.82 ( c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 157.62/157.82 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5204_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8332,plain,
% 157.62/157.82 ( c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 157.62/157.82 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1227]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8333,plain,
% 157.62/157.82 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.82 | c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 157.62/157.82 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8332]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1225,plain,
% 157.62/157.82 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5205_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8328,plain,
% 157.62/157.82 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1225]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1222,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5207_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8322,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1222]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1219,plain,
% 157.62/157.82 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 157.62/157.82 | ~ c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5208_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8316,plain,
% 157.62/157.82 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 157.62/157.82 | ~ c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1219]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1217,plain,
% 157.62/157.82 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5209_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8312,plain,
% 157.62/157.82 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1217]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8313,plain,
% 157.62/157.82 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8312]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1215,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(X1,X0)),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Oappend(X1,X2,X0),X0)
% 157.62/157.82 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5210_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8308,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(X1,X0)),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Oappend(X1,X2,X0),X0)
% 157.62/157.82 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1215]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8309,plain,
% 157.62/157.82 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 157.62/157.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(X1,X0)),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Oappend(X1,X2,X0),X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8308]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1213,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5211_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8304,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1213]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8305,plain,
% 157.62/157.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.82 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8304]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1204,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X3) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5219_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8286,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X3) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1204]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8287,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8286]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1201,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X3) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5220_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8280,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X3) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1201]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8281,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8280]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1192,plain,
% 157.62/157.82 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 157.62/157.82 | ~ c_lessequals(X0,X1,X3)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X3) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5223_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8262,plain,
% 157.62/157.82 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 157.62/157.82 | ~ c_lessequals(X0,X1,X3)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X3) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1192]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8263,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8262]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1189,plain,
% 157.62/157.82 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 157.62/157.82 | ~ c_lessequals(X0,X2,X3)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X3) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5224_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8256,plain,
% 157.62/157.82 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 157.62/157.82 | ~ c_lessequals(X0,X2,X3)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X3) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1189]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8257,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 157.62/157.82 | ~ c_lessequals(X1,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8256]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1187,plain,
% 157.62/157.82 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 157.62/157.82 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5227_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8252,plain,
% 157.62/157.82 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 157.62/157.82 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1187]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8253,plain,
% 157.62/157.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8252]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1184,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5228_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8246,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1184]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8247,plain,
% 157.62/157.82 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.82 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_lessequals(X2,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8246]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1181,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5229_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8240,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1181]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8241,plain,
% 157.62/157.82 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.82 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_lessequals(X1,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8240]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1178,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5230_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8234,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1178]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8235,plain,
% 157.62/157.82 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8234]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1175,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5231_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8228,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1175]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8229,plain,
% 157.62/157.82 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8228]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1166,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5234_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8210,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1166]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8211,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8210]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1163,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5235_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8204,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1163]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8205,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8204]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1154,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5238_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8186,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1154]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8187,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_lessequals(X1,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8186]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1151,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5239_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8180,plain,
% 157.62/157.82 ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1151]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8181,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X3,X0)
% 157.62/157.82 | ~ c_lessequals(X2,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8180]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1149,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5243_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8176,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1149]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1147,plain,
% 157.62/157.82 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 157.62/157.82 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5244_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8172,plain,
% 157.62/157.82 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 157.62/157.82 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1147]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8173,plain,
% 157.62/157.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8172]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1145,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5245_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8168,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1145]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8169,plain,
% 157.62/157.82 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 157.62/157.82 | 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) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8168]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1143,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(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_Otimes__class_Otimes(tc_nat),X1),X2),X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5246_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8164,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(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_Otimes__class_Otimes(tc_nat),X1),X2),X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1143]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8165,plain,
% 157.62/157.82 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 157.62/157.82 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(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_Otimes__class_Otimes(tc_nat),X1),X2),X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8164]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1141,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5247_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8160,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1141]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1139,plain,
% 157.62/157.82 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 157.62/157.82 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5251_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8156,plain,
% 157.62/157.82 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 157.62/157.82 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1139]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1134,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5253_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8146,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1134]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1132,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5254_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8142,plain,
% 157.62/157.82 ( 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)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1132]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1130,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 157.62/157.82 | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5255_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8138,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 157.62/157.82 | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1130]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8139,plain,
% 157.62/157.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8138]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1129,plain,
% 157.62/157.82 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5256_0) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8136,plain,
% 157.62/157.82 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1129]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1126,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 157.62/157.82 | ~ c_lessequals(X3,X1,X2)
% 157.62/157.82 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5256_3) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8130,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 157.62/157.82 | ~ c_lessequals(X3,X1,X2)
% 157.62/157.82 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1126]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8131,plain,
% 157.62/157.82 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8130]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1121,plain,
% 157.62/157.82 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | ~ c_lessequals(X3,X1,X0)
% 157.62/157.82 | c_lessequals(X3,X2,X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5258_0) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8120,plain,
% 157.62/157.82 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | ~ c_lessequals(X3,X1,X0)
% 157.62/157.82 | c_lessequals(X3,X2,X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1121]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1120,plain,
% 157.62/157.82 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | c_lessequals(X3,X2,X0)
% 157.62/157.82 | ~ c_lessequals(X3,X1,X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5258_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8118,plain,
% 157.62/157.82 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | c_lessequals(X3,X2,X0)
% 157.62/157.82 | ~ c_lessequals(X3,X1,X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1120]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1118,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X0,X3,X2)
% 157.62/157.82 | ~ c_lessequals(X3,X1,X2)
% 157.62/157.82 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5258_3) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8114,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X0,X3,X2)
% 157.62/157.82 | ~ c_lessequals(X3,X1,X2)
% 157.62/157.82 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1118]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8115,plain,
% 157.62/157.82 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.82 | c_lessequals(X1,X2,X0)
% 157.62/157.82 | ~ c_lessequals(X1,X3,X0)
% 157.62/157.82 | ~ c_lessequals(X3,X2,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8114]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1113,plain,
% 157.62/157.82 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5260_0) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8104,plain,
% 157.62/157.82 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1113]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1110,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X0,X3,X2)
% 157.62/157.82 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5260_3) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8098,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X0,X3,X2)
% 157.62/157.82 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1110]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8099,plain,
% 157.62/157.82 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8098]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1109,plain,
% 157.62/157.82 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.82 | c_lessequals(X1,X3,X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5261_0) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8096,plain,
% 157.62/157.82 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | ~ c_lessequals(X2,X3,X0)
% 157.62/157.82 | c_lessequals(X1,X3,X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1109]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1108,plain,
% 157.62/157.82 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | c_lessequals(X1,X3,X0)
% 157.62/157.82 | ~ c_lessequals(X2,X3,X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5261_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8094,plain,
% 157.62/157.82 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | c_lessequals(X1,X3,X0)
% 157.62/157.82 | ~ c_lessequals(X2,X3,X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1108]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1106,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X3,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X0,X3,X2)
% 157.62/157.82 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5261_3) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8090,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X3,X1,X2)
% 157.62/157.82 | ~ c_lessequals(X0,X3,X2)
% 157.62/157.82 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1106]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8091,plain,
% 157.62/157.82 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.82 | c_lessequals(X1,X2,X0)
% 157.62/157.82 | ~ c_lessequals(X3,X2,X0)
% 157.62/157.82 | ~ c_lessequals(X1,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8090]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1105,plain,
% 157.62/157.82 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5262_0) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8088,plain,
% 157.62/157.82 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1105]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1104,plain,
% 157.62/157.82 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5262_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8086,plain,
% 157.62/157.82 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1104]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1102,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 157.62/157.82 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5262_3) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8082,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 157.62/157.82 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1102]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8083,plain,
% 157.62/157.82 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8082]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1101,plain,
% 157.62/157.82 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5263_0) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8080,plain,
% 157.62/157.82 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1101]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1100,plain,
% 157.62/157.82 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5263_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8078,plain,
% 157.62/157.82 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1100]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1098,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 157.62/157.82 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5263_3) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8074,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 157.62/157.82 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1098]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8075,plain,
% 157.62/157.82 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8074]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1095,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5264_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8068,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1095]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8069,plain,
% 157.62/157.82 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8068]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1092,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5265_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8062,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1092]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8063,plain,
% 157.62/157.82 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.82 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 157.62/157.82 | c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8062]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1089,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5267_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8056,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1089]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1083,plain,
% 157.62/157.82 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 157.62/157.82 | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5270_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8044,plain,
% 157.62/157.82 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 157.62/157.82 | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1083]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1081,plain,
% 157.62/157.82 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 157.62/157.82 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5271_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8040,plain,
% 157.62/157.82 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 157.62/157.82 | ~ c_lessequals(X0,X2,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1081]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1075,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5274_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8028,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1075]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1073,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5275_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8024,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1073]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1071,plain,
% 157.62/157.82 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5279_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8020,plain,
% 157.62/157.82 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1071]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8021,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8020]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1069,plain,
% 157.62/157.82 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5280_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8016,plain,
% 157.62/157.82 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1069]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8017,plain,
% 157.62/157.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.82 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_8016]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1068,plain,
% 157.62/157.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_lessequals(X2,X0,tc_nat)
% 157.62/157.82 | c_lessequals(X2,X1,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5286_0) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8014,plain,
% 157.62/157.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_lessequals(X2,X0,tc_nat)
% 157.62/157.82 | c_lessequals(X2,X1,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1068]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1067,plain,
% 157.62/157.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | c_lessequals(X2,X1,tc_nat)
% 157.62/157.82 | ~ c_lessequals(X2,X0,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5286_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8012,plain,
% 157.62/157.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | c_lessequals(X2,X1,tc_nat)
% 157.62/157.82 | ~ c_lessequals(X2,X0,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1067]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1066,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_lessequals(X0,X2,tc_nat)
% 157.62/157.82 | ~ c_lessequals(X2,X1,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5286_2) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_8010,plain,
% 157.62/157.82 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.82 | ~ c_lessequals(X0,X2,tc_nat)
% 157.62/157.82 | ~ c_lessequals(X2,X1,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1066]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1060,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 157.62/157.82 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5289_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7998,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 157.62/157.82 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1060]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7999,plain,
% 157.62/157.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.82 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_7998]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1058,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 157.62/157.82 | ~ class_Power_Opower(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5290_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7994,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 157.62/157.82 | ~ class_Power_Opower(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1058]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7995,plain,
% 157.62/157.82 ( ~ class_Power_Opower(X0)
% 157.62/157.82 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_7994]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1056,plain,
% 157.62/157.82 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 157.62/157.82 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5293_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7990,plain,
% 157.62/157.82 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 157.62/157.82 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1056]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1054,plain,
% 157.62/157.82 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5294_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7986,plain,
% 157.62/157.82 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)
% 157.62/157.82 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1054]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7987,plain,
% 157.62/157.82 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.82 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_7986]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1052,plain,
% 157.62/157.82 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)
% 157.62/157.82 | ~ class_Lattices_Olattice(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5295_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7982,plain,
% 157.62/157.82 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)
% 157.62/157.82 | ~ class_Lattices_Olattice(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1052]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7983,plain,
% 157.62/157.82 ( ~ class_Lattices_Olattice(X0)
% 157.62/157.82 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_7982]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1050,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 157.62/157.82 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5296_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7978,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 157.62/157.82 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1050]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7979,plain,
% 157.62/157.82 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 157.62/157.82 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_7978]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1048,plain,
% 157.62/157.82 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5297_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7974,plain,
% 157.62/157.82 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2)
% 157.62/157.82 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1048]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7975,plain,
% 157.62/157.82 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.82 | hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_7974]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1042,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | 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)) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5299_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7962,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | 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)) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1042]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1040,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5300_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7958,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0)
% 157.62/157.82 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1040]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7959,plain,
% 157.62/157.82 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_7958]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1038,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Olist_OCons(X1,X2,X0),X0)
% 157.62/157.82 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5301_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7954,plain,
% 157.62/157.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Olist_OCons(X1,X2,X0),X0)
% 157.62/157.82 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1038]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7955,plain,
% 157.62/157.82 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 157.62/157.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Olist_OCons(X1,X2,X0),X0) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_7954]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1036,plain,
% 157.62/157.82 ( c_List_Odistinct(X0,X1)
% 157.62/157.82 | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5302_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7950,plain,
% 157.62/157.82 ( c_List_Odistinct(X0,X1)
% 157.62/157.82 | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1036]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7951,plain,
% 157.62/157.82 ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 157.62/157.82 | c_List_Odistinct(X1,X2) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_7950]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1034,plain,
% 157.62/157.82 ( c_List_Odistinct(X0,X1)
% 157.62/157.82 | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5303_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7946,plain,
% 157.62/157.82 ( c_List_Odistinct(X0,X1)
% 157.62/157.82 | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1034]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7947,plain,
% 157.62/157.82 ( ~ c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 157.62/157.82 | c_List_Odistinct(X1,X2) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_7946]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1032,plain,
% 157.62/157.82 ( c_List_Odistinct(X0,X1)
% 157.62/157.82 | ~ c_List_Odistinct(c_List_Oappend(X2,X0,X1),X1) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5304_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7942,plain,
% 157.62/157.82 ( c_List_Odistinct(X0,X1)
% 157.62/157.82 | ~ c_List_Odistinct(c_List_Oappend(X2,X0,X1),X1) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1032]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7943,plain,
% 157.62/157.82 ( ~ c_List_Odistinct(c_List_Oappend(X0,X1,X2),X2)
% 157.62/157.82 | c_List_Odistinct(X1,X2) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_7942]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1030,plain,
% 157.62/157.82 ( c_List_Odistinct(X0,X1)
% 157.62/157.82 | ~ c_List_Odistinct(c_List_Oappend(X0,X2,X1),X1) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5305_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7938,plain,
% 157.62/157.82 ( c_List_Odistinct(X0,X1)
% 157.62/157.82 | ~ c_List_Odistinct(c_List_Oappend(X0,X2,X1),X1) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1030]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7939,plain,
% 157.62/157.82 ( ~ c_List_Odistinct(c_List_Oappend(X0,X1,X2),X2)
% 157.62/157.82 | c_List_Odistinct(X0,X2) ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_7938]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1028,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5306_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7934,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1028]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1026,plain,
% 157.62/157.82 ( c_List_Orotate(X0,X1,X2) = X1
% 157.62/157.82 | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5307_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7930,plain,
% 157.62/157.82 ( c_List_Orotate(X0,X1,X2) = X1
% 157.62/157.82 | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1026]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7931,plain,
% 157.62/157.82 ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 157.62/157.82 | c_List_Orotate(X2,X0,X1) = X0 ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_7930]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1022,plain,
% 157.62/157.82 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5309_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7922,plain,
% 157.62/157.82 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0
% 157.62/157.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1022]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7923,plain,
% 157.62/157.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.82 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
% 157.62/157.82 inference(rewriting,[status(thm)],[c_7922]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1020,plain,
% 157.62/157.82 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | c_lessequals(X2,X1,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5310_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7918,plain,
% 157.62/157.82 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.82 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.82 | c_lessequals(X2,X1,X0)
% 157.62/157.82 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1020]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1016,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5311_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7910,plain,
% 157.62/157.82 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.82 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))) ),
% 157.62/157.82 inference(copy,[status(esa)],[c_1016]) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_1014,plain,
% 157.62/157.82 ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil(X2)
% 157.62/157.82 | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 157.62/157.82 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5312_1) ).
% 157.62/157.82
% 157.62/157.82 cnf(c_7906,plain,
% 157.62/157.82 ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil(X2)
% 157.62/157.83 | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_1014]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7907,plain,
% 157.62/157.83 ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 157.62/157.83 | c_List_Odrop(X2,X0,X1) = c_List_Olist_ONil(X1) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7906]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_1011,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5315_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7900,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_1011]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7901,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7900]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_1009,plain,
% 157.62/157.83 ( c_List_Otake(X0,X1,X2) = X1
% 157.62/157.83 | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5316_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7896,plain,
% 157.62/157.83 ( c_List_Otake(X0,X1,X2) = X1
% 157.62/157.83 | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_1009]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7897,plain,
% 157.62/157.83 ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 157.62/157.83 | c_List_Otake(X2,X0,X1) = X0 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7896]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_1007,plain,
% 157.62/157.83 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5317_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7892,plain,
% 157.62/157.83 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_1007]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7893,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X2),X1) = c_Lambda_OdB_OVar(X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7892]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_1004,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5318_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7886,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_1004]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7887,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.83 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7886]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_1001,plain,
% 157.62/157.83 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 157.62/157.83 | ~ c_lessequals(X0,X2,tc_nat)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5319_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7880,plain,
% 157.62/157.83 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 157.62/157.83 | ~ c_lessequals(X0,X2,tc_nat)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_1001]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7881,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.83 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,tc_nat) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7880]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_984,plain,
% 157.62/157.83 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 157.62/157.83 | X2 = X1 ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5328_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7846,plain,
% 157.62/157.83 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 157.62/157.83 | X2 = X1 ),
% 157.62/157.83 inference(copy,[status(esa)],[c_984]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_980,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5330_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7838,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_980]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7839,plain,
% 157.62/157.83 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2)
% 157.62/157.83 | X1 = X2 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7838]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_978,plain,
% 157.62/157.83 ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 157.62/157.83 | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5331_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7834,plain,
% 157.62/157.83 ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 157.62/157.83 | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_978]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_975,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5332_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7828,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_975]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7829,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 157.62/157.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7828]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_963,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | ~ c_lessequals(X0,X1,X2)
% 157.62/157.83 | ~ c_lessequals(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5335_3) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7804,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | ~ c_lessequals(X0,X1,X2)
% 157.62/157.83 | ~ c_lessequals(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_963]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7805,plain,
% 157.62/157.83 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | ~ c_lessequals(X2,X1,X0)
% 157.62/157.83 | X1 = X2 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7804]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_965,plain,
% 157.62/157.83 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | X2 = X1
% 157.62/157.83 | ~ c_lessequals(X2,X1,X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5335_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7808,plain,
% 157.62/157.83 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | X2 = X1
% 157.62/157.83 | ~ c_lessequals(X2,X1,X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_965]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7809,plain,
% 157.62/157.83 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | ~ c_lessequals(X2,X1,X0)
% 157.62/157.83 | X2 = X1 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7808]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_959,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 157.62/157.83 | ~ class_Int_Onumber__ring(X2)
% 157.62/157.83 | ~ class_Ring__and__Field_Oidom(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5336_3) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7796,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 157.62/157.83 | ~ class_Int_Onumber__ring(X2)
% 157.62/157.83 | ~ class_Ring__and__Field_Oidom(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_959]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7797,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.62/157.83 | ~ class_Int_Onumber__ring(X0)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 157.62/157.83 | X2 = X3 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7796]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_956,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 157.62/157.83 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5337_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7790,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 157.62/157.83 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_956]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7791,plain,
% 157.62/157.83 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 157.62/157.83 | X2 = X3 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7790]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_953,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 157.62/157.83 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5338_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7784,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 157.62/157.83 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_953]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7785,plain,
% 157.62/157.83 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 157.62/157.83 | X1 = X2 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7784]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_951,plain,
% 157.62/157.83 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,X0),X1),hAPP(hAPP(c_Lambda_Olift,X2),X1))
% 157.62/157.83 | ~ c_Lambda_Obeta(X0,X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5339_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7780,plain,
% 157.62/157.83 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,X0),X1),hAPP(hAPP(c_Lambda_Olift,X2),X1))
% 157.62/157.83 | ~ c_Lambda_Obeta(X0,X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_951]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_949,plain,
% 157.62/157.83 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 157.62/157.83 | ~ c_Lambda_Obeta(X0,X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5340_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7776,plain,
% 157.62/157.83 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 157.62/157.83 | ~ c_Lambda_Obeta(X0,X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_949]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_947,plain,
% 157.62/157.83 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 157.62/157.83 | ~ c_Lambda_Obeta(X1,X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5341_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7772,plain,
% 157.62/157.83 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 157.62/157.83 | ~ c_Lambda_Obeta(X1,X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_947]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_941,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5343_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7760,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_941]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7761,plain,
% 157.62/157.83 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7760]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_938,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5344_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7754,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_938]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7755,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7754]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_935,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5345_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7748,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_935]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7749,plain,
% 157.62/157.83 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7748]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_932,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | ~ c_lessequals(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5346_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7742,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | ~ c_lessequals(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_932]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7743,plain,
% 157.62/157.83 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7742]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_926,plain,
% 157.62/157.83 ( ~ c_lessequals(X0,X1,X2)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5348_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7730,plain,
% 157.62/157.83 ( ~ c_lessequals(X0,X1,X2)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_926]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7731,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7730]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_923,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 157.62/157.83 | ~ c_lessequals(X0,X0,X1)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X1) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5349_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7724,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 157.62/157.83 | ~ c_lessequals(X0,X0,X1)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X1) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_923]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7725,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X1,X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7724]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_918,plain,
% 157.62/157.83 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 157.62/157.83 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5351_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7714,plain,
% 157.62/157.83 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 157.62/157.83 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_918]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7715,plain,
% 157.62/157.83 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1)
% 157.62/157.83 | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7714]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_916,plain,
% 157.62/157.83 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 157.62/157.83 | c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X0,X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5352_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7710,plain,
% 157.62/157.83 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 157.62/157.83 | c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X0,X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_916]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7711,plain,
% 157.62/157.83 ( c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1) != c_List_Orev(X2,X1)
% 157.62/157.83 | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7710]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_913,plain,
% 157.62/157.83 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | X1 = X2
% 157.62/157.83 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5353_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7704,plain,
% 157.62/157.83 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | X1 = X2
% 157.62/157.83 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_913]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7705,plain,
% 157.62/157.83 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 157.62/157.83 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | X1 = X4 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7704]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_911,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5354_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7700,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_911]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_909,plain,
% 157.62/157.83 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5355_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7696,plain,
% 157.62/157.83 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_909]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_907,plain,
% 157.62/157.83 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | X1 = X0
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5356_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7692,plain,
% 157.62/157.83 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | X1 = X0
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_907]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7693,plain,
% 157.62/157.83 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | X1 = X0 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7692]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_904,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5357_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7686,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_904]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7687,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7686]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_902,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5359_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7682,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_902]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7683,plain,
% 157.62/157.83 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 157.62/157.83 | X1 = X4 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7682]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_900,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5360_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7678,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_900]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7679,plain,
% 157.62/157.83 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 157.62/157.83 | X0 = X3 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7678]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_897,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 157.62/157.83 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5361_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7672,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 157.62/157.83 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_897]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7673,plain,
% 157.62/157.83 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 157.62/157.83 | X1 = X3 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7672]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_894,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 157.62/157.83 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5362_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7666,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 157.62/157.83 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_894]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7667,plain,
% 157.62/157.83 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 157.62/157.83 | X2 = X3 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7666]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_891,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 157.62/157.83 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5363_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7660,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 157.62/157.83 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_891]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7661,plain,
% 157.62/157.83 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 157.62/157.83 | X2 = X3 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7660]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_889,plain,
% 157.62/157.83 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5364_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7656,plain,
% 157.62/157.83 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_889]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7657,plain,
% 157.62/157.83 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7656]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_887,plain,
% 157.62/157.83 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5365_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7652,plain,
% 157.62/157.83 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_887]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7653,plain,
% 157.62/157.83 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) | X0 = X3 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7652]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_885,plain,
% 157.62/157.83 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5366_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7648,plain,
% 157.62/157.83 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_885]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7649,plain,
% 157.62/157.83 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) | X1 = X3 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7648]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_883,plain,
% 157.62/157.83 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 157.62/157.83 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5368_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7644,plain,
% 157.62/157.83 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 157.62/157.83 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_883]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7645,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 157.62/157.83 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7644]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_881,plain,
% 157.62/157.83 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5369_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7640,plain,
% 157.62/157.83 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_881]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_879,plain,
% 157.62/157.83 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5370_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7636,plain,
% 157.62/157.83 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_879]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7637,plain,
% 157.62/157.83 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7636]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_873,plain,
% 157.62/157.83 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5374_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7624,plain,
% 157.62/157.83 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_873]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7625,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X0),X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7624]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_871,plain,
% 157.62/157.83 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5375_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7620,plain,
% 157.62/157.83 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_871]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7621,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7620]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_869,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),c_Orderings_Oord__class_Omax(X1,X2,X0)) = X1
% 157.62/157.83 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5378_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7616,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),c_Orderings_Oord__class_Omax(X1,X2,X0)) = X1
% 157.62/157.83 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_869]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7617,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),c_Orderings_Oord__class_Omax(X1,X2,X0)) = X1 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7616]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_867,plain,
% 157.62/157.83 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 157.62/157.83 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5380_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7612,plain,
% 157.62/157.83 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 157.62/157.83 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_867]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7613,plain,
% 157.62/157.83 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7612]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_865,plain,
% 157.62/157.83 ( c_Orderings_Oord__class_Omax(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X0),X2),X1) = X0
% 157.62/157.83 | ~ class_Orderings_Olinorder(X1) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5381_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7608,plain,
% 157.62/157.83 ( c_Orderings_Oord__class_Omax(X0,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X0),X2),X1) = X0
% 157.62/157.83 | ~ class_Orderings_Olinorder(X1) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_865]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7609,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | c_Orderings_Oord__class_Omax(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X0) = X1 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7608]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_863,plain,
% 157.62/157.83 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 157.62/157.83 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5382_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7604,plain,
% 157.62/157.83 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 157.62/157.83 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_863]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7605,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 157.62/157.83 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7604]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_861,plain,
% 157.62/157.83 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X1,X0)
% 157.62/157.83 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5383_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7600,plain,
% 157.62/157.83 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X1,X0)
% 157.62/157.83 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_861]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7601,plain,
% 157.62/157.83 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.83 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X1,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7600]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_859,plain,
% 157.62/157.83 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X2,X0)
% 157.62/157.83 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5384_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7596,plain,
% 157.62/157.83 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X2,X0)
% 157.62/157.83 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_859]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7597,plain,
% 157.62/157.83 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.83 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X2,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7596]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_857,plain,
% 157.62/157.83 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X2,X0)
% 157.62/157.83 | ~ class_Lattices_Olattice(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5385_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7592,plain,
% 157.62/157.83 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X2,X0)
% 157.62/157.83 | ~ class_Lattices_Olattice(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_857]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7593,plain,
% 157.62/157.83 ( ~ class_Lattices_Olattice(X0)
% 157.62/157.83 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X2,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7592]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_855,plain,
% 157.62/157.83 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X1,X0)
% 157.62/157.83 | ~ class_Lattices_Olattice(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5386_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7588,plain,
% 157.62/157.83 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X1,X0)
% 157.62/157.83 | ~ class_Lattices_Olattice(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_855]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7589,plain,
% 157.62/157.83 ( ~ class_Lattices_Olattice(X0)
% 157.62/157.83 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2),X1,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7588]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_853,plain,
% 157.62/157.83 ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X2,X0)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5387_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7584,plain,
% 157.62/157.83 ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X2,X0)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_853]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7585,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X2,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7584]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_851,plain,
% 157.62/157.83 ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X1,X0)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5388_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7580,plain,
% 157.62/157.83 ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X1,X0)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_851]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7581,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2),X1,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7580]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_849,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.83 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5392_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7576,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.83 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_849]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7577,plain,
% 157.62/157.83 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 157.62/157.83 | c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7576]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_847,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5393_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7572,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_847]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7573,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7572]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_841,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.83 | X0 = c_Suc(X1)
% 157.62/157.83 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5396_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7560,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.83 | X0 = c_Suc(X1)
% 157.62/157.83 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_841]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7561,plain,
% 157.62/157.83 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 157.62/157.83 | c_lessequals(X0,X1,tc_nat)
% 157.62/157.83 | X0 = c_Suc(X1) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7560]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_835,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5398_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7548,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_835]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7549,plain,
% 157.62/157.83 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 157.62/157.83 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | X1 = X2 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7548]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_832,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5399_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7542,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_832]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7543,plain,
% 157.62/157.83 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)
% 157.62/157.83 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | X0 = X2 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7542]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_824,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | X0 = X1
% 157.62/157.83 | ~ c_lessequals(X0,X1,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5401_3) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7526,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | X0 = X1
% 157.62/157.83 | ~ c_lessequals(X0,X1,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_824]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7527,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.83 | X1 = X2 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7526]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_808,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | X0 = X1
% 157.62/157.83 | ~ c_lessequals(X0,X1,X2)
% 157.62/157.83 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5405_3) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7494,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | X0 = X1
% 157.62/157.83 | ~ c_lessequals(X0,X1,X2)
% 157.62/157.83 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_808]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7495,plain,
% 157.62/157.83 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.83 | X1 = X2 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7494]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_800,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.83 | ~ c_lessequals(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5407_3) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7478,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.83 | ~ c_lessequals(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_800]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7479,plain,
% 157.62/157.83 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.83 | X2 = X1 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7478]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_797,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 157.62/157.83 | hBOOL(hAPP(X0,X1))
% 157.62/157.83 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5408_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7472,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 157.62/157.83 | hBOOL(hAPP(X0,X1))
% 157.62/157.83 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_797]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7473,plain,
% 157.62/157.83 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1))
% 157.62/157.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7472]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_794,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,X2)
% 157.62/157.83 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5409_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7466,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,X2)
% 157.62/157.83 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_794]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7467,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | c_lessequals(X1,X2,X0)
% 157.62/157.83 | c_Orderings_Oord__class_Omax(X1,X2,X0) != X2 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7466]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_792,plain,
% 157.62/157.83 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 157.62/157.83 | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5410_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7462,plain,
% 157.62/157.83 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 157.62/157.83 | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_792]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_788,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5412_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7454,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_788]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_782,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | X1 = X0
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5414_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7442,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | X1 = X0
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_782]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7443,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | X1 = X0 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7442]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_779,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | X0 = X1
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5415_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7436,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | X0 = X1
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_779]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7437,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | X0 = X1 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7436]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_776,plain,
% 157.62/157.83 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X0
% 157.62/157.83 | ~ c_lessequals(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5416_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7430,plain,
% 157.62/157.83 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X0
% 157.62/157.83 | ~ c_lessequals(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_776]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7431,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | c_Orderings_Oord__class_Omax(X2,X1,X0) = X2 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7430]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_773,plain,
% 157.62/157.83 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X1
% 157.62/157.83 | ~ c_lessequals(X0,X1,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5417_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7424,plain,
% 157.62/157.83 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X1
% 157.62/157.83 | ~ c_lessequals(X0,X1,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_773]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7425,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | c_Orderings_Oord__class_Omax(X1,X2,X0) = X2 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7424]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_771,plain,
% 157.62/157.83 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5418_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7420,plain,
% 157.62/157.83 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_771]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7421,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7420]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_765,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,X2)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5420_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7408,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,X2)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | ~ class_Orderings_Opreorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_765]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7409,plain,
% 157.62/157.83 ( ~ class_Orderings_Opreorder(X0)
% 157.62/157.83 | c_lessequals(X1,X2,X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7408]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_762,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,X2)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5421_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7402,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,X2)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | ~ class_Orderings_Oorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_762]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7403,plain,
% 157.62/157.83 ( ~ class_Orderings_Oorder(X0)
% 157.62/157.83 | c_lessequals(X1,X2,X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7402]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_758,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5423_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7394,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_758]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7395,plain,
% 157.62/157.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 157.62/157.83 | X0 = X2 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7394]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_756,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5424_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7390,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_756]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7391,plain,
% 157.62/157.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 157.62/157.83 | X1 = X2 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7390]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_754,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5426_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7386,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_754]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7387,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7386]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_752,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5427_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7382,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_752]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7383,plain,
% 157.62/157.83 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7382]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_749,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = X2
% 157.62/157.83 | ~ c_lessequals(X2,X1,X0)
% 157.62/157.83 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5428_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7376,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = X2
% 157.62/157.83 | ~ c_lessequals(X2,X1,X0)
% 157.62/157.83 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_749]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7377,plain,
% 157.62/157.83 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X1) = X1 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7376]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_746,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = X1
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5429_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7370,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = X1
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_746]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7371,plain,
% 157.62/157.83 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = X1 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7370]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_743,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2) = X2
% 157.62/157.83 | ~ c_lessequals(X2,X1,X0)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5430_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7364,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2) = X2
% 157.62/157.83 | ~ c_lessequals(X2,X1,X0)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_743]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7365,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X1) = X1 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7364]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_740,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2) = X1
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5431_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7358,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2) = X1
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_740]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7359,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | ~ c_lessequals(X1,X2,X0)
% 157.62/157.83 | hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2) = X1 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7358]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_736,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5433_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7350,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_736]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7351,plain,
% 157.62/157.83 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7350]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_734,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5434_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7346,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_734]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_731,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,X2)
% 157.62/157.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X0),X1) != X0
% 157.62/157.83 | ~ class_Lattices_Olower__semilattice(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5437_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7340,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,X2)
% 157.62/157.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X0),X1) != X0
% 157.62/157.83 | ~ class_Lattices_Olower__semilattice(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_731]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7341,plain,
% 157.62/157.83 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.83 | c_lessequals(X1,X2,X0)
% 157.62/157.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) != X1 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7340]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_728,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,X2)
% 157.62/157.83 | hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X0),X1) != X0
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5438_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7334,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,X2)
% 157.62/157.83 | hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X0),X1) != X0
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_728]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7335,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | c_lessequals(X1,X2,X0)
% 157.62/157.83 | hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2) != X1 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7334]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_726,plain,
% 157.62/157.83 ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 157.62/157.83 | ~ c_List_Odistinct(X1,X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5443_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7330,plain,
% 157.62/157.83 ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 157.62/157.83 | ~ c_List_Odistinct(X1,X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_726]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_724,plain,
% 157.62/157.83 ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 157.62/157.83 | ~ c_List_Odistinct(X1,X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5444_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7326,plain,
% 157.62/157.83 ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 157.62/157.83 | ~ c_List_Odistinct(X1,X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_724]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_722,plain,
% 157.62/157.83 ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 157.62/157.83 | ~ c_List_Odistinct(X1,X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5445_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7322,plain,
% 157.62/157.83 ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 157.62/157.83 | ~ c_List_Odistinct(X1,X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_722]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_720,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5446_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7318,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_720]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7319,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7318]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_718,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5447_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7314,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_718]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_716,plain,
% 157.62/157.83 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5448_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7310,plain,
% 157.62/157.83 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_716]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_712,plain,
% 157.62/157.83 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5454_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7302,plain,
% 157.62/157.83 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_712]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_708,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 157.62/157.83 | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5456_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7294,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 157.62/157.83 | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_708]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7295,plain,
% 157.62/157.83 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7294]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_706,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5457_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7290,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat)
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_706]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_697,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5460_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7272,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_697]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7273,plain,
% 157.62/157.83 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | X0 = X1 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7272]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_695,plain,
% 157.62/157.83 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5461_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7268,plain,
% 157.62/157.83 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | ~ c_lessequals(X0,X1,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_695]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7269,plain,
% 157.62/157.83 ( ~ c_lessequals(X0,X1,tc_nat)
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7268]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_693,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5462_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7264,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_693]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7265,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7264]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_689,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5464_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7256,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_689]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_686,plain,
% 157.62/157.83 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1))
% 157.62/157.83 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5465_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7250,plain,
% 157.62/157.83 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1))
% 157.62/157.83 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_686]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7251,plain,
% 157.62/157.83 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.83 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1)) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7250]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_683,plain,
% 157.62/157.83 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1))
% 157.62/157.83 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5466_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7244,plain,
% 157.62/157.83 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1))
% 157.62/157.83 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_683]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7245,plain,
% 157.62/157.83 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.83 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1)) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7244]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_680,plain,
% 157.62/157.83 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1))
% 157.62/157.83 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5467_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7238,plain,
% 157.62/157.83 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1))
% 157.62/157.83 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_680]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7239,plain,
% 157.62/157.83 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.83 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1)) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7238]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_677,plain,
% 157.62/157.83 ( hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1))
% 157.62/157.83 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5468_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7232,plain,
% 157.62/157.83 ( hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1))
% 157.62/157.83 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_677]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7233,plain,
% 157.62/157.83 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.83 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1)) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7232]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_674,plain,
% 157.62/157.83 ( hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1))
% 157.62/157.83 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5469_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7226,plain,
% 157.62/157.83 ( hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1))
% 157.62/157.83 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_674]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7227,plain,
% 157.62/157.83 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.62/157.83 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 157.62/157.83 | hBOOL(hAPP(X0,X1)) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7226]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_647,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | X1 = X2
% 157.62/157.83 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5478_0) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7172,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | X1 = X2
% 157.62/157.83 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_647]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7173,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 157.62/157.83 | X2 = X1 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7172]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_644,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.83 | X0 = X1
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5478_3) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7166,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.83 | X0 = X1
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_644]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7167,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 157.62/157.83 | X1 = X2 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7166]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_638,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5480_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7154,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_638]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7155,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 157.62/157.83 | X0 = X2 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7154]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_636,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5481_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7150,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_636]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7151,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 157.62/157.83 | X1 = X3 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7150]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_634,plain,
% 157.62/157.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0)
% 157.62/157.83 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5483_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7146,plain,
% 157.62/157.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0)
% 157.62/157.83 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_634]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7147,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7146]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_631,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,X2)
% 157.62/157.83 | c_lessequals(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5484_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7140,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,X2)
% 157.62/157.83 | c_lessequals(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_631]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7141,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | c_lessequals(X1,X2,X0)
% 157.62/157.83 | c_lessequals(X2,X1,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7140]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_622,plain,
% 157.62/157.83 ( c_lessequals(X0,X0,X1)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X1) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5487_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7122,plain,
% 157.62/157.83 ( c_lessequals(X0,X0,X1)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X1) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_622]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7123,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | c_lessequals(X1,X1,X0)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7122]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_619,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,X2)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5488_2) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7116,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,X2)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_619]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7117,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | c_lessequals(X1,X2,X0)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7116]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_617,plain,
% 157.62/157.83 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5489_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7112,plain,
% 157.62/157.83 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_617]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7113,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7112]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_615,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5491_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7108,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_615]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7109,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7108]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_611,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5493_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7100,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_611]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7101,plain,
% 157.62/157.83 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7100]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_609,plain,
% 157.62/157.83 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5494_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7096,plain,
% 157.62/157.83 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_609]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7097,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.83 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7096]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_607,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5495_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7092,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 157.62/157.83 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_607]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7093,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7092]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_605,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X1)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5496_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7088,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X1)
% 157.62/157.83 | ~ class_Orderings_Olinorder(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_605]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7089,plain,
% 157.62/157.83 ( ~ class_Orderings_Olinorder(X0)
% 157.62/157.83 | hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X2),X1) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7088]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_603,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X1)
% 157.62/157.83 | ~ class_Lattices_Olattice(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5497_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7084,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X1)
% 157.62/157.83 | ~ class_Lattices_Olattice(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_603]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7085,plain,
% 157.62/157.83 ( ~ class_Lattices_Olattice(X0)
% 157.62/157.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X1) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7084]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_601,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X1)
% 157.62/157.83 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5498_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7080,plain,
% 157.62/157.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X1)
% 157.62/157.83 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_601]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7081,plain,
% 157.62/157.83 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.62/157.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X1) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7080]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_597,plain,
% 157.62/157.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 157.62/157.83 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5500_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7072,plain,
% 157.62/157.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 157.62/157.83 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_597]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7073,plain,
% 157.62/157.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7072]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_595,plain,
% 157.62/157.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 157.62/157.83 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5501_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7068,plain,
% 157.62/157.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 157.62/157.83 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_595]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7069,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7068]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_591,plain,
% 157.62/157.83 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)
% 157.62/157.83 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5503_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7060,plain,
% 157.62/157.83 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)
% 157.62/157.83 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_591]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7061,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7060]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_586,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | X1 = X0
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5507_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7050,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | X1 = X0
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_586]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7051,plain,
% 157.62/157.83 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 157.62/157.83 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 157.62/157.83 | X1 = X0 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7050]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_581,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 157.62/157.83 | ~ class_Int_Onumber__ring(X2)
% 157.62/157.83 | ~ class_Ring__and__Field_Oidom(X2) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5508_3) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7040,plain,
% 157.62/157.83 ( X0 = X1
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 157.62/157.83 | ~ class_Int_Onumber__ring(X2)
% 157.62/157.83 | ~ class_Ring__and__Field_Oidom(X2) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_581]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7041,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.62/157.83 | ~ class_Int_Onumber__ring(X0)
% 157.62/157.83 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.83 | X1 = X2 ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7040]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_579,plain,
% 157.62/157.83 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5509_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7036,plain,
% 157.62/157.83 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.62/157.83 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_579]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7037,plain,
% 157.62/157.83 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 157.62/157.83 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7036]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_577,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5510_1) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7032,plain,
% 157.62/157.83 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_577]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_576,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.83 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.83 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5511_0) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7030,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.83 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.83 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_576]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_573,plain,
% 157.62/157.83 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.83 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.83 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5511_3) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7024,plain,
% 157.62/157.83 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.83 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.83 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_573]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7025,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.83 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.83 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.62/157.83 inference(rewriting,[status(thm)],[c_7024]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_568,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.83 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.83 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5513_0) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7014,plain,
% 157.62/157.83 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.83 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 157.62/157.83 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.62/157.83 inference(copy,[status(esa)],[c_568]) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_565,plain,
% 157.62/157.83 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.83 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.83 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 157.62/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5513_3) ).
% 157.62/157.83
% 157.62/157.83 cnf(c_7008,plain,
% 157.62/157.83 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.83 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 157.62/157.83 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 157.70/157.83 inference(copy,[status(esa)],[c_565]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_7009,plain,
% 157.70/157.83 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 157.70/157.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.83 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.83 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.83 inference(rewriting,[status(thm)],[c_7008]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_561,plain,
% 157.70/157.83 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 157.70/157.83 | ~ class_Int_Onumber__ring(X1)
% 157.70/157.83 | ~ class_Ring__and__Field_Oidom(X1) ),
% 157.70/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5515_3) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_7000,plain,
% 157.70/157.83 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 157.70/157.83 | ~ class_Int_Onumber__ring(X1)
% 157.70/157.83 | ~ class_Ring__and__Field_Oidom(X1) ),
% 157.70/157.83 inference(copy,[status(esa)],[c_561]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_7001,plain,
% 157.70/157.83 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.70/157.83 | ~ class_Int_Onumber__ring(X0)
% 157.70/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 157.70/157.83 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.83 inference(rewriting,[status(thm)],[c_7000]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_558,plain,
% 157.70/157.83 ( X0 = X1
% 157.70/157.83 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 157.70/157.83 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 157.70/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5516_2) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6994,plain,
% 157.70/157.83 ( X0 = X1
% 157.70/157.83 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 157.70/157.83 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 157.70/157.83 inference(copy,[status(esa)],[c_558]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6995,plain,
% 157.70/157.83 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 157.70/157.83 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.83 | X1 = X2 ),
% 157.70/157.83 inference(rewriting,[status(thm)],[c_6994]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_555,plain,
% 157.70/157.83 ( X0 = X1
% 157.70/157.83 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 157.70/157.83 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 157.70/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5517_2) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6988,plain,
% 157.70/157.83 ( X0 = X1
% 157.70/157.83 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 157.70/157.83 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 157.70/157.83 inference(copy,[status(esa)],[c_555]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6989,plain,
% 157.70/157.83 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 157.70/157.83 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.83 | X1 = X2 ),
% 157.70/157.83 inference(rewriting,[status(thm)],[c_6988]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_552,plain,
% 157.70/157.83 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.83 | X1 = c_List_Olist_ONil(X2)
% 157.70/157.83 | c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 157.70/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5518_2) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6982,plain,
% 157.70/157.83 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.83 | X1 = c_List_Olist_ONil(X2)
% 157.70/157.83 | c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 157.70/157.83 inference(copy,[status(esa)],[c_552]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6983,plain,
% 157.70/157.83 ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2)
% 157.70/157.83 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.83 | X1 = c_List_Olist_ONil(X2) ),
% 157.70/157.83 inference(rewriting,[status(thm)],[c_6982]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_543,plain,
% 157.70/157.83 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.83 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 157.70/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5520_2) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6964,plain,
% 157.70/157.83 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.83 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 157.70/157.83 inference(copy,[status(esa)],[c_543]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6965,plain,
% 157.70/157.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 157.70/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.83 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.83 inference(rewriting,[status(thm)],[c_6964]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_540,plain,
% 157.70/157.83 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.83 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.83 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 157.70/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5521_2) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6958,plain,
% 157.70/157.83 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.83 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.83 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 157.70/157.83 inference(copy,[status(esa)],[c_540]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6959,plain,
% 157.70/157.83 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 157.70/157.83 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.83 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.83 inference(rewriting,[status(thm)],[c_6958]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_536,plain,
% 157.70/157.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.83 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.83 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5523_0) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6950,plain,
% 157.70/157.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.83 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.83 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.83 inference(copy,[status(esa)],[c_536]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_534,plain,
% 157.70/157.83 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.83 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5523_2) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6946,plain,
% 157.70/157.83 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.83 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.83 inference(copy,[status(esa)],[c_534]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6947,plain,
% 157.70/157.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.83 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.83 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.83 inference(rewriting,[status(thm)],[c_6946]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_532,plain,
% 157.70/157.83 ( X0 = c_List_Olist_ONil(X1)
% 157.70/157.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 157.70/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5524_1) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6942,plain,
% 157.70/157.83 ( X0 = c_List_Olist_ONil(X1)
% 157.70/157.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 157.70/157.83 inference(copy,[status(esa)],[c_532]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6943,plain,
% 157.70/157.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 157.70/157.83 | X0 = c_List_Olist_ONil(X1) ),
% 157.70/157.83 inference(rewriting,[status(thm)],[c_6942]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_530,plain,
% 157.70/157.83 ( X0 = c_List_Olist_ONil(X1)
% 157.70/157.83 | c_List_Orotate(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 157.70/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5526_1) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6938,plain,
% 157.70/157.83 ( X0 = c_List_Olist_ONil(X1)
% 157.70/157.83 | c_List_Orotate(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 157.70/157.83 inference(copy,[status(esa)],[c_530]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6939,plain,
% 157.70/157.83 ( c_List_Orotate(X0,X1,X2) != c_List_Olist_ONil(X2)
% 157.70/157.83 | X1 = c_List_Olist_ONil(X2) ),
% 157.70/157.83 inference(rewriting,[status(thm)],[c_6938]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_524,plain,
% 157.70/157.83 ( X0 = c_List_Olist_ONil(X1)
% 157.70/157.83 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 157.70/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5529_1) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6926,plain,
% 157.70/157.83 ( X0 = c_List_Olist_ONil(X1)
% 157.70/157.83 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 157.70/157.83 inference(copy,[status(esa)],[c_524]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6927,plain,
% 157.70/157.83 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 157.70/157.83 | X1 = c_List_Olist_ONil(X2) ),
% 157.70/157.83 inference(rewriting,[status(thm)],[c_6926]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_522,plain,
% 157.70/157.83 ( X0 = c_List_Olist_ONil(X1)
% 157.70/157.83 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 157.70/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5530_1) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6922,plain,
% 157.70/157.83 ( X0 = c_List_Olist_ONil(X1)
% 157.70/157.83 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 157.70/157.83 inference(copy,[status(esa)],[c_522]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6923,plain,
% 157.70/157.83 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 157.70/157.83 | X0 = c_List_Olist_ONil(X2) ),
% 157.70/157.83 inference(rewriting,[status(thm)],[c_6922]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_512,plain,
% 157.70/157.83 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.83 | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 157.70/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5534_1) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6902,plain,
% 157.70/157.83 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.83 | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 157.70/157.83 inference(copy,[status(esa)],[c_512]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6903,plain,
% 157.70/157.83 ( c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2)
% 157.70/157.83 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.83 inference(rewriting,[status(thm)],[c_6902]) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_509,plain,
% 157.70/157.83 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.83 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.83 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5535_2) ).
% 157.70/157.83
% 157.70/157.83 cnf(c_6896,plain,
% 157.70/157.83 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.84 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_509]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6897,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.84 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6896]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_506,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5536_2) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6890,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_506]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6891,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6890]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_502,plain,
% 157.70/157.84 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5538_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6882,plain,
% 157.70/157.84 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_502]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6883,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.70/157.84 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6882]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_500,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5541_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6878,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_500]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6879,plain,
% 157.70/157.84 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6878]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_498,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5542_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6874,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_498]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6875,plain,
% 157.70/157.84 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6874]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_496,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5543_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6870,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_496]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6871,plain,
% 157.70/157.84 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6870]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_492,plain,
% 157.70/157.84 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5545_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6862,plain,
% 157.70/157.84 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 157.70/157.84 inference(copy,[status(esa)],[c_492]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6863,plain,
% 157.70/157.84 ( c_List_Oappend(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil(X2) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6862]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_488,plain,
% 157.70/157.84 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5547_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6854,plain,
% 157.70/157.84 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 157.70/157.84 inference(copy,[status(esa)],[c_488]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6855,plain,
% 157.70/157.84 ( c_List_Oappend(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil(X2) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6854]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_486,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5548_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6850,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_486]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6851,plain,
% 157.70/157.84 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 157.70/157.84 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6850]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_484,plain,
% 157.70/157.84 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5552_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6846,plain,
% 157.70/157.84 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_484]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6847,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.84 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6846]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_482,plain,
% 157.70/157.84 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5553_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6842,plain,
% 157.70/157.84 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_482]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6843,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.84 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6842]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_478,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.84 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5557_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6834,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.84 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_478]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_476,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5557_2) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6830,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_476]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6831,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6830]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_473,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Suc(X1)) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Power_Opower(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5559_2) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6824,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Suc(X1)) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Power_Opower(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_473]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6825,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 157.70/157.84 | ~ class_Power_Opower(X0)
% 157.70/157.84 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Suc(X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6824]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_471,plain,
% 157.70/157.84 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5562_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6820,plain,
% 157.70/157.84 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_471]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6821,plain,
% 157.70/157.84 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6820]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_467,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.84 | ~ class_Power_Opower(X1)
% 157.70/157.84 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5565_3) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6812,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.84 | ~ class_Power_Opower(X1)
% 157.70/157.84 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_467]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6813,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 157.70/157.84 | ~ class_Power_Opower(X0)
% 157.70/157.84 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6812]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_464,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 157.70/157.84 | ~ class_Power_Opower(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5566_2) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6806,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 157.70/157.84 | ~ class_Power_Opower(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_464]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6807,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 157.70/157.84 | ~ class_Power_Opower(X0)
% 157.70/157.84 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6806]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_463,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5567_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6804,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_463]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_461,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5567_2) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6800,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_461]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6801,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6800]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_459,plain,
% 157.70/157.84 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 157.70/157.84 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5570_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6796,plain,
% 157.70/157.84 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 157.70/157.84 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_459]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_457,plain,
% 157.70/157.84 ( 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)
% 157.70/157.84 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5571_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6792,plain,
% 157.70/157.84 ( 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)
% 157.70/157.84 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_457]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6793,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 157.70/157.84 | 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) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6792]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_454,plain,
% 157.70/157.84 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != X1 ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5572_2) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6786,plain,
% 157.70/157.84 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != X1 ),
% 157.70/157.84 inference(copy,[status(esa)],[c_454]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6787,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != X0
% 157.70/157.84 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6786]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_452,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5576_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6782,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_452]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6783,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6782]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_450,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5577_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6778,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_450]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6779,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6778]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_444,plain,
% 157.70/157.84 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5580_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6766,plain,
% 157.70/157.84 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_444]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6767,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 157.70/157.84 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6766]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_442,plain,
% 157.70/157.84 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != c_HOL_Oone__class_Oone(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5581_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6762,plain,
% 157.70/157.84 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != c_HOL_Oone__class_Oone(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_442]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6763,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 157.70/157.84 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6762]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_438,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5583_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6754,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 157.70/157.84 inference(copy,[status(esa)],[c_438]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6755,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 157.70/157.84 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6754]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_436,plain,
% 157.70/157.84 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5584_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6750,plain,
% 157.70/157.84 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_436]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6751,plain,
% 157.70/157.84 ( ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) | c_List_Odistinct(X0,X1) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6750]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_432,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5586_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6742,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_432]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6743,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6742]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_430,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5587_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6738,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_430]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6739,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6738]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_428,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5588_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6734,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_428]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6735,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6734]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_426,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 157.70/157.84 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5589_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6730,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 157.70/157.84 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_426]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6731,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.70/157.84 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6730]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_424,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Obot__class_Obot(X0)),X1) = c_Orderings_Obot__class_Obot(X0)
% 157.70/157.84 | ~ class_Lattices_Obounded__lattice(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5590_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6726,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Obot__class_Obot(X0)),X1) = c_Orderings_Obot__class_Obot(X0)
% 157.70/157.84 | ~ class_Lattices_Obounded__lattice(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_424]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6727,plain,
% 157.70/157.84 ( ~ class_Lattices_Obounded__lattice(X0)
% 157.70/157.84 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Obot__class_Obot(X0)),X1) = c_Orderings_Obot__class_Obot(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6726]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_422,plain,
% 157.70/157.84 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5591_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6722,plain,
% 157.70/157.84 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_422]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6723,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.70/157.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6722]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_420,plain,
% 157.70/157.84 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5592_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6718,plain,
% 157.70/157.84 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_420]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6719,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.70/157.84 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6718]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_417,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.70/157.84 | ~ class_Int_Onumber__ring(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5593_2) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6712,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.70/157.84 | ~ class_Int_Onumber__ring(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_417]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6713,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.70/157.84 | ~ class_Int_Onumber__ring(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6712]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_414,plain,
% 157.70/157.84 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.84 | ~ class_Int_Onumber__ring(X1)
% 157.70/157.84 | ~ class_Ring__and__Field_Oidom(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5594_2) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6706,plain,
% 157.70/157.84 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.84 | ~ class_Int_Onumber__ring(X1)
% 157.70/157.84 | ~ class_Ring__and__Field_Oidom(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_414]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6707,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.70/157.84 | ~ class_Int_Onumber__ring(X0)
% 157.70/157.84 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6706]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_410,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5596_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6698,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_410]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6699,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6698]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_408,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5597_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6694,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_408]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6695,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6694]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_406,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5598_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6690,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_406]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6691,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6690]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_402,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5600_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6682,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_402]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6683,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6682]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_400,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5601_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6678,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_400]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6679,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6678]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_398,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5602_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6674,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_398]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6675,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6674]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_396,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5607_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6670,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_396]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6671,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6670]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_394,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5608_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6666,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_394]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6667,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6666]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_392,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5609_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6662,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_392]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6663,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6662]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_390,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),c_Orderings_Obot__class_Obot(X0)) = c_Orderings_Obot__class_Obot(X0)
% 157.70/157.84 | ~ class_Lattices_Obounded__lattice(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5610_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6658,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),c_Orderings_Obot__class_Obot(X0)) = c_Orderings_Obot__class_Obot(X0)
% 157.70/157.84 | ~ class_Lattices_Obounded__lattice(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_390]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6659,plain,
% 157.70/157.84 ( ~ class_Lattices_Obounded__lattice(X0)
% 157.70/157.84 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),c_Orderings_Obot__class_Obot(X0)) = c_Orderings_Obot__class_Obot(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6658]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_388,plain,
% 157.70/157.84 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 157.70/157.84 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5611_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6654,plain,
% 157.70/157.84 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 157.70/157.84 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_388]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6655,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 157.70/157.84 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6654]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_386,plain,
% 157.70/157.84 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 157.70/157.84 | ~ class_Orderings_Obot(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5613_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6650,plain,
% 157.70/157.84 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 157.70/157.84 | ~ class_Orderings_Obot(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_386]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6651,plain,
% 157.70/157.84 ( ~ class_Orderings_Obot(X0)
% 157.70/157.84 | c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6650]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_384,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5614_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6646,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_384]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6647,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6646]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_382,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5615_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6642,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_382]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6643,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6642]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_380,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5616_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6638,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_380]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6639,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6638]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_378,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5617_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6634,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_378]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6635,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.70/157.84 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6634]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_376,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 157.70/157.84 | ~ class_Power_Opower(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5618_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6630,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 157.70/157.84 | ~ class_Power_Opower(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_376]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6631,plain,
% 157.70/157.84 ( ~ class_Power_Opower(X0)
% 157.70/157.84 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6630]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_374,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5619_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6626,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_374]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6627,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6626]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_372,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5620_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6622,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_372]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6623,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6622]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_370,plain,
% 157.70/157.84 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.84 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5622_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6618,plain,
% 157.70/157.84 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.84 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_370]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6619,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 157.70/157.84 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6618]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_366,plain,
% 157.70/157.84 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.84 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5624_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6610,plain,
% 157.70/157.84 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.70/157.84 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_366]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6611,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 157.70/157.84 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6610]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_364,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5633_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6606,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_364]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6607,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.70/157.84 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6606]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_362,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5634_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6602,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 157.70/157.84 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_362]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6603,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.70/157.84 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6602]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_360,plain,
% 157.70/157.84 ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5636_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6598,plain,
% 157.70/157.84 ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_360]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_358,plain,
% 157.70/157.84 ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 157.70/157.84 | ~ class_Orderings_Olinorder(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5637_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6594,plain,
% 157.70/157.84 ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 157.70/157.84 | ~ class_Orderings_Olinorder(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_358]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6595,plain,
% 157.70/157.84 ( ~ class_Orderings_Olinorder(X0)
% 157.70/157.84 | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6594]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_356,plain,
% 157.70/157.84 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5640_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6590,plain,
% 157.70/157.84 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_356]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6591,plain,
% 157.70/157.84 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6590]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_354,plain,
% 157.70/157.84 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5641_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6586,plain,
% 157.70/157.84 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_354]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6587,plain,
% 157.70/157.84 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6586]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_352,plain,
% 157.70/157.84 ( c_List_Olistsum(c_List_Orev(X0,X1),X1) = c_List_Olistsum(X0,X1)
% 157.70/157.84 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5650_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6582,plain,
% 157.70/157.84 ( c_List_Olistsum(c_List_Orev(X0,X1),X1) = c_List_Olistsum(X0,X1)
% 157.70/157.84 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_352]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6583,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.70/157.84 | c_List_Olistsum(c_List_Orev(X1,X0),X0) = c_List_Olistsum(X1,X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6582]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_350,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5652_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6578,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1
% 157.70/157.84 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_350]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6579,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 157.70/157.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6578]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_348,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X1) = X1
% 157.70/157.84 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5653_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6574,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X1) = X1
% 157.70/157.84 | ~ class_Lattices_Olower__semilattice(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_348]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6575,plain,
% 157.70/157.84 ( ~ class_Lattices_Olower__semilattice(X0)
% 157.70/157.84 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X1) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6574]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_346,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X1) = X1
% 157.70/157.84 | ~ class_Orderings_Olinorder(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5654_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6570,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X1) = X1
% 157.70/157.84 | ~ class_Orderings_Olinorder(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_346]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6571,plain,
% 157.70/157.84 ( ~ class_Orderings_Olinorder(X0)
% 157.70/157.84 | hAPP(hAPP(c_Orderings_Oord__class_Omin(X0),X1),X1) = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6570]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_344,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5655_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6566,plain,
% 157.70/157.84 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_344]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6567,plain,
% 157.70/157.84 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 157.70/157.84 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6566]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_341,plain,
% 157.70/157.84 ( X0 = X1
% 157.70/157.84 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 157.70/157.84 | ~ class_Nat_Osemiring__char__0(X2) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5674_2) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6560,plain,
% 157.70/157.84 ( X0 = X1
% 157.70/157.84 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 157.70/157.84 | ~ class_Nat_Osemiring__char__0(X2) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_341]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6561,plain,
% 157.70/157.84 ( ~ class_Nat_Osemiring__char__0(X0)
% 157.70/157.84 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 157.70/157.84 | X1 = X2 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6560]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_339,plain,
% 157.70/157.84 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 157.70/157.84 | ~ c_Lambda_Obeta(X0,X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5685_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6556,plain,
% 157.70/157.84 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 157.70/157.84 | ~ c_Lambda_Obeta(X0,X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_339]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_337,plain,
% 157.70/157.84 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5686_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6552,plain,
% 157.70/157.84 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_337]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6553,plain,
% 157.70/157.84 ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6552]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_335,plain,
% 157.70/157.84 ( X0 = c_List_Olist_ONil(X1)
% 157.70/157.84 | c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5687_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6548,plain,
% 157.70/157.84 ( X0 = c_List_Olist_ONil(X1)
% 157.70/157.84 | c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_335]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6549,plain,
% 157.70/157.84 ( c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.70/157.84 | X0 = c_List_Olist_ONil(X1) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6548]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_333,plain,
% 157.70/157.84 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5692_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6544,plain,
% 157.70/157.84 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_333]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_331,plain,
% 157.70/157.84 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5693_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6540,plain,
% 157.70/157.84 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_331]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_329,plain,
% 157.70/157.84 ( class_Lattices_Olattice(tc_fun(X0,X1))
% 157.70/157.84 | ~ class_Lattices_Olattice(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5694_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6536,plain,
% 157.70/157.84 ( class_Lattices_Olattice(tc_fun(X0,X1))
% 157.70/157.84 | ~ class_Lattices_Olattice(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_329]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_327,plain,
% 157.70/157.84 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 157.70/157.84 | ~ class_Orderings_Opreorder(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5695_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6532,plain,
% 157.70/157.84 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 157.70/157.84 | ~ class_Orderings_Opreorder(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_327]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_325,plain,
% 157.70/157.84 ( class_Lattices_Obounded__lattice(tc_fun(X0,X1))
% 157.70/157.84 | ~ class_Lattices_Obounded__lattice(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5696_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6528,plain,
% 157.70/157.84 ( class_Lattices_Obounded__lattice(tc_fun(X0,X1))
% 157.70/157.84 | ~ class_Lattices_Obounded__lattice(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_325]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_323,plain,
% 157.70/157.84 ( class_Lattices_Olower__semilattice(tc_fun(X0,X1))
% 157.70/157.84 | ~ class_Lattices_Olattice(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5697_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6524,plain,
% 157.70/157.84 ( class_Lattices_Olower__semilattice(tc_fun(X0,X1))
% 157.70/157.84 | ~ class_Lattices_Olattice(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_323]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_319,plain,
% 157.70/157.84 ( X0 = c_List_Olist_ONil(X1)
% 157.70/157.84 | c_List_Orev(X0,X1) != c_List_Olist_ONil(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5699_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6516,plain,
% 157.70/157.84 ( X0 = c_List_Olist_ONil(X1)
% 157.70/157.84 | c_List_Orev(X0,X1) != c_List_Olist_ONil(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_319]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6517,plain,
% 157.70/157.84 ( c_List_Orev(X0,X1) != c_List_Olist_ONil(X1)
% 157.70/157.84 | X0 = c_List_Olist_ONil(X1) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6516]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_317,plain,
% 157.70/157.84 ( c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5701_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6512,plain,
% 157.70/157.84 ( c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_317]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6513,plain,
% 157.70/157.84 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 157.70/157.84 | c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6512]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_315,plain,
% 157.70/157.84 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5703_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6508,plain,
% 157.70/157.84 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_315]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6509,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 157.70/157.84 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6508]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_313,plain,
% 157.70/157.84 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5704_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6504,plain,
% 157.70/157.84 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_313]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6505,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 157.70/157.84 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6504]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_306,plain,
% 157.70/157.84 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5712_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6490,plain,
% 157.70/157.84 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 157.70/157.84 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_306]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6491,plain,
% 157.70/157.84 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 157.70/157.84 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6490]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_304,plain,
% 157.70/157.84 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5714_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6486,plain,
% 157.70/157.84 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_304]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6487,plain,
% 157.70/157.84 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6486]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_302,plain,
% 157.70/157.84 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5715_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6482,plain,
% 157.70/157.84 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_302]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6483,plain,
% 157.70/157.84 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6482]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_298,plain,
% 157.70/157.84 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5717_1) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6474,plain,
% 157.70/157.84 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_298]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6475,plain,
% 157.70/157.84 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 157.70/157.84 inference(rewriting,[status(thm)],[c_6474]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_297,plain,
% 157.70/157.84 ( 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) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4696_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6472,plain,
% 157.70/157.84 ( 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) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_297]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_296,plain,
% 157.70/157.84 ( 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) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4717_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6470,plain,
% 157.70/157.84 ( 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) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_296]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_295,plain,
% 157.70/157.84 ( ~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X0,X1,X2),tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4847_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6468,plain,
% 157.70/157.84 ( ~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X0,X1,X2),tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_295]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_294,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5276_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6466,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_294]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_293,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5277_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6464,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_293]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_292,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(X0),tc_List_Olist(X0)),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5377_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6462,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(X0),tc_List_Olist(X0)),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_292]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_291,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5539_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6460,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_291]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_290,plain,
% 157.70/157.84 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5540_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6458,plain,
% 157.70/157.84 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_290]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_287,plain,
% 157.70/157.84 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5551_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6452,plain,
% 157.70/157.84 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_287]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_285,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5561_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6448,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_285]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_283,plain,
% 157.70/157.84 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5564_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6444,plain,
% 157.70/157.84 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 157.70/157.84 inference(copy,[status(esa)],[c_283]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_281,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5569_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6440,plain,
% 157.70/157.84 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_281]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_280,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5629_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6438,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_280]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_279,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5630_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6436,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_279]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_278,plain,
% 157.70/157.84 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5631_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6434,plain,
% 157.70/157.84 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_278]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_277,plain,
% 157.70/157.84 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5632_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6432,plain,
% 157.70/157.84 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_277]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_276,plain,
% 157.70/157.84 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5700_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6430,plain,
% 157.70/157.84 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_276]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_275,plain,
% 157.70/157.84 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5719_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6428,plain,
% 157.70/157.84 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_275]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_274,plain,
% 157.70/157.84 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5720_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6426,plain,
% 157.70/157.84 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_274]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_272,plain,
% 157.70/157.84 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5722_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6422,plain,
% 157.70/157.84 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_272]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_270,plain,
% 157.70/157.84 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5724_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6418,plain,
% 157.70/157.84 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_270]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_268,plain,
% 157.70/157.84 ( c_Suc(X0) != X0 ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5728_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6414,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_268]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_243,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X3)) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4774_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6387,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X3)) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_243]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_235,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4795_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6377,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_235]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_229,plain,
% 157.70/157.84 ( c_List_Oappend(c_List_Oreplicate(X0,X1,X2),c_List_Oreplicate(X3,X1,X2),X2) = c_List_Oappend(c_List_Oreplicate(X3,X1,X2),c_List_Oreplicate(X0,X1,X2),X2) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_4854_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6370,plain,
% 157.70/157.84 ( c_List_Oappend(c_List_Oreplicate(X0,X1,X2),c_List_Oreplicate(X3,X1,X2),X2) = c_List_Oappend(c_List_Oreplicate(X3,X1,X2),c_List_Oreplicate(X0,X1,X2),X2) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_229]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_201,plain,
% 157.70/157.84 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0)),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5108_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6341,plain,
% 157.70/157.84 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0)),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_201]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_189,plain,
% 157.70/157.84 ( 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) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5149_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6328,plain,
% 157.70/157.84 ( 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) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_189]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_180,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5181_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6318,plain,
% 157.70/157.84 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_180]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_179,plain,
% 157.70/157.84 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5184_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6316,plain,
% 157.70/157.84 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_179]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_176,plain,
% 157.70/157.84 ( 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)) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5193_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6312,plain,
% 157.70/157.84 ( 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)) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_176]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_165,plain,
% 157.70/157.84 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_Lambda_OdB_OVar(X1)),hAPP(X0,X1))) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5240_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6300,plain,
% 157.70/157.84 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_Lambda_OdB_OVar(X1)),hAPP(X0,X1))) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_165]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_161,plain,
% 157.70/157.84 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5249_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6294,plain,
% 157.70/157.84 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_161]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_160,plain,
% 157.70/157.84 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5250_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6292,plain,
% 157.70/157.84 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_160]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_138,plain,
% 157.70/157.84 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5389_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6269,plain,
% 157.70/157.84 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_138]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_136,plain,
% 157.70/157.84 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5391_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6266,plain,
% 157.70/157.84 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_136]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_127,plain,
% 157.70/157.84 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5449_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6256,plain,
% 157.70/157.84 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_127]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_125,plain,
% 157.70/157.84 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5451_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6252,plain,
% 157.70/157.84 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_125]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_124,plain,
% 157.70/157.84 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5452_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6250,plain,
% 157.70/157.84 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_124]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_120,plain,
% 157.70/157.84 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5490_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6245,plain,
% 157.70/157.84 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_120]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_117,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5514_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6241,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_117]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_116,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5525_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6239,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_116]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_115,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5554_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6237,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_115]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_114,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5555_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6235,plain,
% 157.70/157.84 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_114]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_105,plain,
% 157.70/157.84 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5612_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6225,plain,
% 157.70/157.84 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_105]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_103,plain,
% 157.70/157.84 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5625_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6222,plain,
% 157.70/157.84 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_103]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_97,plain,
% 157.70/157.84 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5639_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6214,plain,
% 157.70/157.84 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_97]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_88,plain,
% 157.70/157.84 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5651_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6204,plain,
% 157.70/157.84 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_88]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_87,plain,
% 157.70/157.84 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5656_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6202,plain,
% 157.70/157.84 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_87]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_85,plain,
% 157.70/157.84 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5658_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6198,plain,
% 157.70/157.84 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_85]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_75,plain,
% 157.70/157.84 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5668_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6187,plain,
% 157.70/157.84 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_75]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_72,plain,
% 157.70/157.84 ( c_fequal(X0,X0,X1) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5671_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6183,plain,
% 157.70/157.84 ( c_fequal(X0,X0,X1) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_72]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_67,plain,
% 157.70/157.84 ( c_lessequals(X0,X0,tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5677_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6176,plain,
% 157.70/157.84 ( c_lessequals(X0,X0,tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_67]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_56,plain,
% 157.70/157.84 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5691_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6164,plain,
% 157.70/157.84 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_56]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_54,plain,
% 157.70/157.84 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5705_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6161,plain,
% 157.70/157.84 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_54]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_53,plain,
% 157.70/157.84 ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5706_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6159,plain,
% 157.70/157.84 ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_53]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_50,plain,
% 157.70/157.84 ( c_List_Odistinct(c_List_Olist_ONil(X0),X0) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5710_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6155,plain,
% 157.70/157.84 ( c_List_Odistinct(c_List_Olist_ONil(X0),X0) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_50]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_43,plain,
% 157.70/157.84 ( class_Orderings_Obot(tc_bool) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5731_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6147,plain,
% 157.70/157.84 ( class_Orderings_Obot(tc_bool) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_43]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_42,plain,
% 157.70/157.84 ( class_Orderings_Oorder(tc_bool) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5732_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6145,plain,
% 157.70/157.84 ( class_Orderings_Oorder(tc_bool) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_42]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_41,plain,
% 157.70/157.84 ( class_Lattices_Olattice(tc_bool) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5733_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6143,plain,
% 157.70/157.84 ( class_Lattices_Olattice(tc_bool) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_41]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_40,plain,
% 157.70/157.84 ( class_Orderings_Opreorder(tc_bool) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5734_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6141,plain,
% 157.70/157.84 ( class_Orderings_Opreorder(tc_bool) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_40]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_39,plain,
% 157.70/157.84 ( class_Lattices_Obounded__lattice(tc_bool) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5735_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6139,plain,
% 157.70/157.84 ( class_Lattices_Obounded__lattice(tc_bool) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_39]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_38,plain,
% 157.70/157.84 ( class_Lattices_Olower__semilattice(tc_bool) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5736_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6137,plain,
% 157.70/157.84 ( class_Lattices_Olower__semilattice(tc_bool) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_38]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_37,plain,
% 157.70/157.84 ( class_Power_Opower(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5737_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6135,plain,
% 157.70/157.84 ( class_Power_Opower(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_37]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_36,plain,
% 157.70/157.84 ( class_Orderings_Obot(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5738_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6133,plain,
% 157.70/157.84 ( class_Orderings_Obot(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_36]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_35,plain,
% 157.70/157.84 ( class_Orderings_Oorder(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5739_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6131,plain,
% 157.70/157.84 ( class_Orderings_Oorder(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_35]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_34,plain,
% 157.70/157.84 ( class_Lattices_Olattice(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5740_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6129,plain,
% 157.70/157.84 ( class_Lattices_Olattice(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_34]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_33,plain,
% 157.70/157.84 ( class_Orderings_Olinorder(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5741_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6127,plain,
% 157.70/157.84 ( class_Orderings_Olinorder(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_33]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_32,plain,
% 157.70/157.84 ( class_Orderings_Opreorder(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5742_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6125,plain,
% 157.70/157.84 ( class_Orderings_Opreorder(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_32]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_31,plain,
% 157.70/157.84 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5743_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6123,plain,
% 157.70/157.84 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_31]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_30,plain,
% 157.70/157.84 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5744_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6121,plain,
% 157.70/157.84 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_30]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_29,plain,
% 157.70/157.84 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5745_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6119,plain,
% 157.70/157.84 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_29]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_28,plain,
% 157.70/157.84 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5746_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6117,plain,
% 157.70/157.84 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_28]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_27,plain,
% 157.70/157.84 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5747_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6115,plain,
% 157.70/157.84 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_27]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_26,plain,
% 157.70/157.84 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5748_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6113,plain,
% 157.70/157.84 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_26]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_25,plain,
% 157.70/157.84 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5749_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6111,plain,
% 157.70/157.84 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_25]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_24,plain,
% 157.70/157.84 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5750_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6109,plain,
% 157.70/157.84 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_24]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_23,plain,
% 157.70/157.84 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5751_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6107,plain,
% 157.70/157.84 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_23]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_22,plain,
% 157.70/157.84 ( class_Lattices_Olower__semilattice(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5752_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6105,plain,
% 157.70/157.84 ( class_Lattices_Olower__semilattice(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_22]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_21,plain,
% 157.70/157.84 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5753_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6103,plain,
% 157.70/157.84 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_21]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_20,plain,
% 157.70/157.84 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5754_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6101,plain,
% 157.70/157.84 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_20]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_19,plain,
% 157.70/157.84 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5755_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6099,plain,
% 157.70/157.84 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_19]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_18,plain,
% 157.70/157.84 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5756_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6097,plain,
% 157.70/157.84 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_18]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_17,plain,
% 157.70/157.84 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5757_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6095,plain,
% 157.70/157.84 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_17]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_16,plain,
% 157.70/157.84 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5758_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6093,plain,
% 157.70/157.84 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_16]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_15,plain,
% 157.70/157.84 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5759_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6091,plain,
% 157.70/157.84 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_15]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_14,plain,
% 157.70/157.84 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5760_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6089,plain,
% 157.70/157.84 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_14]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_13,plain,
% 157.70/157.84 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5761_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6087,plain,
% 157.70/157.84 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_13]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_12,plain,
% 157.70/157.84 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5762_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6085,plain,
% 157.70/157.84 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_12]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_11,plain,
% 157.70/157.84 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5763_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6083,plain,
% 157.70/157.84 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_11]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_10,plain,
% 157.70/157.84 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5764_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6081,plain,
% 157.70/157.84 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_10]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_9,plain,
% 157.70/157.84 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5765_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6079,plain,
% 157.70/157.84 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_9]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_8,plain,
% 157.70/157.84 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5766_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6077,plain,
% 157.70/157.84 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_8]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_7,plain,
% 157.70/157.84 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5767_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6075,plain,
% 157.70/157.84 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_7]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6,plain,
% 157.70/157.84 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5768_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6073,plain,
% 157.70/157.84 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_6]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_5,plain,
% 157.70/157.84 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5769_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6071,plain,
% 157.70/157.84 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_5]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_4,plain,
% 157.70/157.84 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5770_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6069,plain,
% 157.70/157.84 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_4]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_3,plain,
% 157.70/157.84 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5771_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6067,plain,
% 157.70/157.84 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_3]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_2,plain,
% 157.70/157.84 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5772_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6065,plain,
% 157.70/157.84 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_2]) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_1,plain,
% 157.70/157.84 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 157.70/157.84 file('/export/starexec/sandbox/tmp/iprover_modulo_0c3c2e.p', c_0_5773_0) ).
% 157.70/157.84
% 157.70/157.84 cnf(c_6063,plain,
% 157.70/157.84 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 157.70/157.84 inference(copy,[status(esa)],[c_1]) ).
% 157.70/157.84
% 157.70/157.84
% 157.70/157.84
% 157.70/157.84 % ------ Statistics
% 157.70/157.84
% 157.70/157.84 % ------ General
% 157.70/157.84
% 157.70/157.84 % num_of_input_clauses: 2638
% 157.70/157.84 % num_of_input_neg_conjectures: 1
% 157.70/157.84 % num_of_splits: 0
% 157.70/157.84 % num_of_split_atoms: 0
% 157.70/157.84 % num_of_sem_filtered_clauses: 0
% 157.70/157.84 % num_of_subtypes: 0
% 157.70/157.84 % monotx_restored_types: 0
% 157.70/157.84 % sat_num_of_epr_types: 0
% 157.70/157.84 % sat_num_of_non_cyclic_types: 0
% 157.70/157.84 % sat_guarded_non_collapsed_types: 0
% 157.70/157.84 % is_epr: 0
% 157.70/157.84 % is_horn: 0
% 157.70/157.84 % has_eq: 1
% 157.70/157.84 % num_pure_diseq_elim: 0
% 157.70/157.84 % simp_replaced_by: 0
% 157.70/157.84 % res_preprocessed: 2
% 157.70/157.84 % prep_upred: 0
% 157.70/157.84 % prep_unflattend: 0
% 157.70/157.84 % pred_elim_cands: 0
% 157.70/157.84 % pred_elim: 0
% 157.70/157.84 % pred_elim_cl: 0
% 157.70/157.84 % pred_elim_cycles: 0
% 157.70/157.84 % forced_gc_time: 0
% 157.70/157.84 % gc_basic_clause_elim: 0
% 157.70/157.84 % parsing_time: 0.104
% 157.70/157.84 % sem_filter_time: 0.
% 157.70/157.84 % pred_elim_time: 0.
% 157.70/157.84 % out_proof_time: 0.
% 157.70/157.84 % monotx_time: 0.
% 157.70/157.84 % subtype_inf_time: 0.
% 157.70/157.84 % unif_index_cands_time: 0.
% 157.70/157.84 % unif_index_add_time: 0.002
% 157.70/157.84 % total_time: 6.909
% 157.70/157.84 % num_of_symbols: 162
% 157.70/157.84 % num_of_terms: 5894
% 157.70/157.84
% 157.70/157.84 % ------ Propositional Solver
% 157.70/157.84
% 157.70/157.84 % prop_solver_calls: 1
% 157.70/157.84 % prop_fast_solver_calls: 3
% 157.70/157.84 % prop_num_of_clauses: 2354
% 157.70/157.84 % prop_preprocess_simplified: 8082
% 157.70/157.84 % prop_fo_subsumed: 0
% 157.70/157.84 % prop_solver_time: 0.
% 157.70/157.84 % prop_fast_solver_time: 0.
% 157.70/157.84 % prop_unsat_core_time: 0.
% 157.70/157.84
% 157.70/157.84 % ------ QBF
% 157.70/157.84
% 157.70/157.84 % qbf_q_res: 0
% 157.70/157.84 % qbf_num_tautologies: 0
% 157.70/157.84 % qbf_prep_cycles: 0
% 157.70/157.84
% 157.70/157.84 % ------ BMC1
% 157.70/157.84
% 157.70/157.84 % bmc1_current_bound: -1
% 157.70/157.84 % bmc1_last_solved_bound: -1
% 157.70/157.85 % bmc1_unsat_core_size: -1
% 157.70/157.85 % bmc1_unsat_core_parents_size: -1
% 157.70/157.85 % bmc1_merge_next_fun: 0
% 157.70/157.85 % bmc1_unsat_core_clauses_time: 0.
% 157.70/157.85
% 157.70/157.85 % ------ Instantiation
% 157.70/157.85
% 157.70/157.85 % inst_num_of_clauses: 2299
% 157.70/157.85 % inst_num_in_passive: 0
% 157.70/157.85 % inst_num_in_active: 0
% 157.70/157.85 % inst_num_in_unprocessed: 2638
% 157.70/157.85 % inst_num_of_loops: 0
% 157.70/157.85 % inst_num_of_learning_restarts: 0
% 157.70/157.85 % inst_num_moves_active_passive: 0
% 157.70/157.85 % inst_lit_activity: 0
% 157.70/157.85 % inst_lit_activity_moves: 0
% 157.70/157.85 % inst_num_tautologies: 0
% 157.70/157.85 % inst_num_prop_implied: 0
% 157.70/157.85 % inst_num_existing_simplified: 0
% 157.70/157.85 % inst_num_eq_res_simplified: 0
% 157.70/157.85 % inst_num_child_elim: 0
% 157.70/157.85 % inst_num_of_dismatching_blockings: 0
% 157.70/157.85 % inst_num_of_non_proper_insts: 0
% 157.70/157.85 % inst_num_of_duplicates: 0
% 157.70/157.85 % inst_inst_num_from_inst_to_res: 0
% 157.70/157.85 % inst_dismatching_checking_time: 0.
% 157.70/157.85
% 157.70/157.85 % ------ Resolution
% 157.70/157.85
% 157.70/157.85 % res_num_of_clauses: 2491
% 157.70/157.85 % res_num_in_passive: 0
% 157.70/157.85 % res_num_in_active: 934
% 157.70/157.85 % res_num_of_loops: 2
% 157.70/157.85 % res_forward_subset_subsumed: 1520
% 157.70/157.85 % res_backward_subset_subsumed: 0
% 157.70/157.85 % res_forward_subsumed: 0
% 157.70/157.85 % res_backward_subsumed: 0
% 157.70/157.85 % res_forward_subsumption_resolution: 0
% 157.70/157.85 % res_backward_subsumption_resolution: 0
% 157.70/157.85 % res_clause_to_clause_subsumption: 0
% 157.70/157.85 % res_orphan_elimination: 0
% 157.70/157.85 % res_tautology_del: 0
% 157.70/157.85 % res_num_eq_res_simplified: 0
% 157.70/157.85 % res_num_sel_changes: 0
% 157.70/157.85 % res_moves_from_active_to_pass: 0
% 157.70/157.85
% 157.70/157.85 % Status Unknown
% 157.70/157.85 % Last status :
% 157.70/157.85 % SZS status Unknown
%------------------------------------------------------------------------------