TSTP Solution File: LCL816-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL816-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 11:40:14 EDT 2022
% Result : Unknown 153.84s 154.07s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL816-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : iprover_modulo %s %d
% 0.13/0.33 % Computer : n006.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
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 3 20:10:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.19/0.47 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.47 % Orientation found
% 0.19/0.48 % 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_cf9c75.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_aef40f.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_1e3af4 | grep -v "SZS"
% 0.19/0.50
% 0.19/0.50 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.50
% 0.19/0.50 %
% 0.19/0.50 % ------ iProver source info
% 0.19/0.50
% 0.19/0.50 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.50 % git: non_committed_changes: true
% 0.19/0.50 % git: last_make_outside_of_git: true
% 0.19/0.50
% 0.19/0.50 %
% 0.19/0.50 % ------ Input Options
% 0.19/0.50
% 0.19/0.50 % --out_options all
% 0.19/0.50 % --tptp_safe_out true
% 0.19/0.50 % --problem_path ""
% 0.19/0.50 % --include_path ""
% 0.19/0.50 % --clausifier .//eprover
% 0.19/0.50 % --clausifier_options --tstp-format
% 0.19/0.50 % --stdin false
% 0.19/0.50 % --dbg_backtrace false
% 0.19/0.50 % --dbg_dump_prop_clauses false
% 0.19/0.50 % --dbg_dump_prop_clauses_file -
% 0.19/0.50 % --dbg_out_stat false
% 0.19/0.50
% 0.19/0.50 % ------ General Options
% 0.19/0.50
% 0.19/0.50 % --fof false
% 0.19/0.50 % --time_out_real 150.
% 0.19/0.50 % --time_out_prep_mult 0.2
% 0.19/0.50 % --time_out_virtual -1.
% 0.19/0.50 % --schedule none
% 0.19/0.50 % --ground_splitting input
% 0.19/0.50 % --splitting_nvd 16
% 0.19/0.50 % --non_eq_to_eq false
% 0.19/0.50 % --prep_gs_sim true
% 0.19/0.50 % --prep_unflatten false
% 0.19/0.50 % --prep_res_sim true
% 0.19/0.50 % --prep_upred true
% 0.19/0.50 % --res_sim_input true
% 0.19/0.50 % --clause_weak_htbl true
% 0.19/0.50 % --gc_record_bc_elim false
% 0.19/0.50 % --symbol_type_check false
% 0.19/0.50 % --clausify_out false
% 0.19/0.50 % --large_theory_mode false
% 0.19/0.50 % --prep_sem_filter none
% 0.19/0.50 % --prep_sem_filter_out false
% 0.19/0.50 % --preprocessed_out false
% 0.19/0.50 % --sub_typing false
% 0.19/0.50 % --brand_transform false
% 0.19/0.50 % --pure_diseq_elim true
% 0.19/0.50 % --min_unsat_core false
% 0.19/0.50 % --pred_elim true
% 0.19/0.50 % --add_important_lit false
% 0.19/0.50 % --soft_assumptions false
% 0.19/0.50 % --reset_solvers false
% 0.19/0.50 % --bc_imp_inh []
% 0.19/0.50 % --conj_cone_tolerance 1.5
% 0.19/0.50 % --prolific_symb_bound 500
% 0.19/0.50 % --lt_threshold 2000
% 0.19/0.50
% 0.19/0.50 % ------ SAT Options
% 0.19/0.50
% 0.19/0.50 % --sat_mode false
% 0.19/0.50 % --sat_fm_restart_options ""
% 0.19/0.50 % --sat_gr_def false
% 0.19/0.50 % --sat_epr_types true
% 0.19/0.50 % --sat_non_cyclic_types false
% 0.19/0.50 % --sat_finite_models false
% 0.19/0.50 % --sat_fm_lemmas false
% 0.19/0.50 % --sat_fm_prep false
% 0.19/0.50 % --sat_fm_uc_incr true
% 0.19/0.50 % --sat_out_model small
% 0.19/0.50 % --sat_out_clauses false
% 0.19/0.50
% 0.19/0.50 % ------ QBF Options
% 0.19/0.50
% 0.19/0.50 % --qbf_mode false
% 0.19/0.50 % --qbf_elim_univ true
% 0.19/0.50 % --qbf_sk_in true
% 0.19/0.50 % --qbf_pred_elim true
% 0.19/0.50 % --qbf_split 32
% 0.19/0.50
% 0.19/0.50 % ------ BMC1 Options
% 0.19/0.50
% 0.19/0.50 % --bmc1_incremental false
% 0.19/0.50 % --bmc1_axioms reachable_all
% 0.19/0.50 % --bmc1_min_bound 0
% 0.19/0.50 % --bmc1_max_bound -1
% 0.19/0.50 % --bmc1_max_bound_default -1
% 0.19/0.50 % --bmc1_symbol_reachability true
% 0.19/0.50 % --bmc1_property_lemmas false
% 0.19/0.50 % --bmc1_k_induction false
% 0.19/0.50 % --bmc1_non_equiv_states false
% 0.19/0.50 % --bmc1_deadlock false
% 0.19/0.50 % --bmc1_ucm false
% 0.19/0.50 % --bmc1_add_unsat_core none
% 0.19/0.50 % --bmc1_unsat_core_children false
% 0.19/0.50 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.50 % --bmc1_out_stat full
% 0.19/0.50 % --bmc1_ground_init false
% 0.19/0.50 % --bmc1_pre_inst_next_state false
% 0.19/0.50 % --bmc1_pre_inst_state false
% 0.19/0.50 % --bmc1_pre_inst_reach_state false
% 0.19/0.50 % --bmc1_out_unsat_core false
% 0.19/0.50 % --bmc1_aig_witness_out false
% 0.19/0.50 % --bmc1_verbose false
% 0.19/0.50 % --bmc1_dump_clauses_tptp false
% 150.33/150.51 % --bmc1_dump_unsat_core_tptp false
% 150.33/150.51 % --bmc1_dump_file -
% 150.33/150.51 % --bmc1_ucm_expand_uc_limit 128
% 150.33/150.51 % --bmc1_ucm_n_expand_iterations 6
% 150.33/150.51 % --bmc1_ucm_extend_mode 1
% 150.33/150.51 % --bmc1_ucm_init_mode 2
% 150.33/150.51 % --bmc1_ucm_cone_mode none
% 150.33/150.51 % --bmc1_ucm_reduced_relation_type 0
% 150.33/150.51 % --bmc1_ucm_relax_model 4
% 150.33/150.51 % --bmc1_ucm_full_tr_after_sat true
% 150.33/150.51 % --bmc1_ucm_expand_neg_assumptions false
% 150.33/150.51 % --bmc1_ucm_layered_model none
% 150.33/150.51 % --bmc1_ucm_max_lemma_size 10
% 150.33/150.51
% 150.33/150.51 % ------ AIG Options
% 150.33/150.51
% 150.33/150.51 % --aig_mode false
% 150.33/150.51
% 150.33/150.51 % ------ Instantiation Options
% 150.33/150.51
% 150.33/150.51 % --instantiation_flag true
% 150.33/150.51 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.33/150.51 % --inst_solver_per_active 750
% 150.33/150.51 % --inst_solver_calls_frac 0.5
% 150.33/150.51 % --inst_passive_queue_type priority_queues
% 150.33/150.51 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.33/150.51 % --inst_passive_queues_freq [25;2]
% 150.33/150.51 % --inst_dismatching true
% 150.33/150.51 % --inst_eager_unprocessed_to_passive true
% 150.33/150.51 % --inst_prop_sim_given true
% 150.33/150.51 % --inst_prop_sim_new false
% 150.33/150.51 % --inst_orphan_elimination true
% 150.33/150.51 % --inst_learning_loop_flag true
% 150.33/150.51 % --inst_learning_start 3000
% 150.33/150.51 % --inst_learning_factor 2
% 150.33/150.51 % --inst_start_prop_sim_after_learn 3
% 150.33/150.51 % --inst_sel_renew solver
% 150.33/150.51 % --inst_lit_activity_flag true
% 150.33/150.51 % --inst_out_proof true
% 150.33/150.51
% 150.33/150.51 % ------ Resolution Options
% 150.33/150.51
% 150.33/150.51 % --resolution_flag true
% 150.33/150.51 % --res_lit_sel kbo_max
% 150.33/150.51 % --res_to_prop_solver none
% 150.33/150.51 % --res_prop_simpl_new false
% 150.33/150.51 % --res_prop_simpl_given false
% 150.33/150.51 % --res_passive_queue_type priority_queues
% 150.33/150.51 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.33/150.51 % --res_passive_queues_freq [15;5]
% 150.33/150.51 % --res_forward_subs full
% 150.33/150.51 % --res_backward_subs full
% 150.33/150.51 % --res_forward_subs_resolution true
% 150.33/150.51 % --res_backward_subs_resolution true
% 150.33/150.51 % --res_orphan_elimination false
% 150.33/150.51 % --res_time_limit 1000.
% 150.33/150.51 % --res_out_proof true
% 150.33/150.51 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_cf9c75.s
% 150.33/150.51 % --modulo true
% 150.33/150.51
% 150.33/150.51 % ------ Combination Options
% 150.33/150.51
% 150.33/150.51 % --comb_res_mult 1000
% 150.33/150.51 % --comb_inst_mult 300
% 150.33/150.51 % ------
% 150.33/150.51
% 150.33/150.51 % ------ Parsing...% successful
% 150.33/150.51
% 150.33/150.51 % ------ 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 %
% 150.33/150.51
% 150.33/150.51 % ------ Proving...
% 150.33/150.51 % ------ Problem Properties
% 150.33/150.51
% 150.33/150.51 %
% 150.33/150.51 % EPR false
% 150.33/150.51 % Horn false
% 150.33/150.51 % Has equality true
% 150.33/150.51
% 150.33/150.51 % % ------ Input Options Time Limit: Unbounded
% 150.33/150.51
% 150.33/150.51
% 150.33/150.51 Compiling...
% 150.33/150.51 Loading plugin: done.
% 150.33/150.51 %
% 150.33/150.51
% 150.33/150.51
% 150.33/150.51 % Time Out Real
% 150.33/150.51
% 150.33/150.51 % ------ Statistics
% 150.33/150.51
% 150.33/150.51 % ------ General
% 150.33/150.51
% 150.33/150.51 % num_of_input_clauses: 1092
% 150.33/150.51 % num_of_input_neg_conjectures: 1
% 150.33/150.51 % num_of_splits: 0
% 150.33/150.51 % num_of_split_atoms: 0
% 150.33/150.51 % num_of_sem_filtered_clauses: 0
% 150.33/150.51 % num_of_subtypes: 0
% 150.33/150.51 % monotx_restored_types: 0
% 150.33/150.51 % sat_num_of_epr_types: 0
% 150.33/150.51 % sat_num_of_non_cyclic_types: 0
% 150.33/150.51 % sat_guarded_non_collapsed_types: 0
% 150.33/150.51 % is_epr: 0
% 150.33/150.51 % is_horn: 0
% 150.33/150.51 % has_eq: 1
% 150.33/150.51 % num_pure_diseq_elim: 0
% 150.33/150.51 % simp_replaced_by: 0
% 150.33/150.51 % res_preprocessed: 2
% 150.33/150.51 % prep_upred: 0
% 150.33/150.51 % prep_unflattend: 0
% 150.33/150.51 % pred_elim_cands: 0
% 150.33/150.51 % pred_elim: 0
% 150.33/150.51 % pred_elim_cl: 0
% 150.33/150.51 % pred_elim_cycles: 0
% 150.33/150.51 % forced_gc_time: 0
% 150.33/150.51 % gc_basic_clause_elim: 0
% 150.33/150.51 % parsing_time: 0.061
% 150.33/150.51 % sem_filter_time: 0.
% 150.33/150.51 % pred_elim_time: 0.
% 150.33/150.51 % out_proof_time: 0.
% 150.33/150.51 % monotx_time: 0.
% 150.33/150.51 % subtype_inf_time: 0.
% 150.33/150.51 % unif_index_cands_time: 0.
% 150.33/150.51 % unif_index_add_time: 0.
% 150.33/150.51 % total_time: 150.024
% 150.33/150.51 % num_of_symbols: 119
% 150.33/150.51 % num_of_terms: 3740
% 150.33/150.51
% 150.33/150.51 % ------ Propositional Solver
% 150.33/150.51
% 150.33/150.51 % prop_solver_calls: 1
% 150.33/150.51 % prop_fast_solver_calls: 3
% 150.33/150.51 % prop_num_of_clauses: 972
% 150.33/150.51 % prop_preprocess_simplified: 3316
% 150.33/150.51 % prop_fo_subsumed: 0
% 150.33/150.51 % prop_solver_time: 0.
% 150.33/150.51 % prop_fast_solver_time: 0.
% 150.33/150.51 % prop_unsat_core_time: 0.
% 150.33/150.51
% 150.33/150.51 % ------ QBF
% 150.33/150.51
% 150.33/150.51 % qbf_q_res: 0
% 150.33/150.51 % qbf_num_tautologies: 0
% 150.33/150.51 % qbf_prep_cycles: 0
% 150.33/150.51
% 150.33/150.51 % ------ BMC1
% 150.33/150.51
% 150.33/150.51 % bmc1_current_bound: -1
% 150.33/150.51 % bmc1_last_solved_bound: -1
% 150.33/150.51 % bmc1_unsat_core_size: -1
% 150.33/150.51 % bmc1_unsat_core_parents_size: -1
% 150.33/150.51 % bmc1_merge_next_fun: 0
% 150.33/150.51 % bmc1_unsat_core_clauses_time: 0.
% 150.33/150.51
% 150.33/150.51 % ------ Instantiation
% 150.33/150.51
% 150.33/150.51 % inst_num_of_clauses: 966
% 150.33/150.51 % inst_num_in_passive: 0
% 150.33/150.51 % inst_num_in_active: 0
% 150.33/150.51 % inst_num_in_unprocessed: 1092
% 150.33/150.51 % inst_num_of_loops: 0
% 150.33/150.51 % inst_num_of_learning_restarts: 0
% 150.33/150.51 % inst_num_moves_active_passive: 0
% 150.33/150.51 % inst_lit_activity: 0
% 150.33/150.51 % inst_lit_activity_moves: 0
% 150.33/150.51 % inst_num_tautologies: 0
% 150.33/150.51 % inst_num_prop_implied: 0
% 150.33/150.51 % inst_num_existing_simplified: 0
% 150.33/150.51 % inst_num_eq_res_simplified: 0
% 150.33/150.51 % inst_num_child_elim: 0
% 150.33/150.51 % inst_num_of_dismatching_blockings: 0
% 150.33/150.51 % inst_num_of_non_proper_insts: 0
% 150.33/150.51 % inst_num_of_duplicates: 0
% 150.33/150.51 % inst_inst_num_from_inst_to_res: 0
% 150.33/150.51 % inst_dismatching_checking_time: 0.
% 150.33/150.51
% 150.33/150.51 % ------ Resolution
% 150.33/150.51
% 150.33/150.51 % res_num_of_clauses: 926
% 150.33/150.51 % res_num_in_passive: 0
% 150.33/150.51 % res_num_in_active: 334
% 150.33/150.51 % res_num_of_loops: 0
% 150.33/150.51 % res_forward_subset_subsumed: 586
% 150.33/150.51 % res_backward_subset_subsumed: 0
% 150.33/150.51 % res_forward_subsumed: 0
% 150.33/150.51 % res_backward_subsumed: 0
% 150.33/150.51 % res_forward_subsumption_resolution: 0
% 150.33/150.51 % res_backward_subsumption_resolution: 0
% 150.33/150.51 % res_clause_to_clause_subsumption: 0
% 150.33/150.51 % res_orphan_elimination: 0
% 150.33/150.51 % res_tautology_del: 0
% 150.33/150.51 % res_num_eq_res_simplified: 0
% 150.33/150.51 % res_num_sel_changes: 0
% 150.33/150.51 % res_moves_from_active_to_pass: 0
% 150.33/150.51
% 150.33/150.51 % Status Unknown
% 150.38/150.63 % Orienting using strategy ClausalAll
% 150.38/150.63 % Orientation found
% 150.38/150.63 % 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_cf9c75.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_aef40f.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_78739f | grep -v "SZS"
% 150.38/150.64
% 150.38/150.64 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.38/150.64
% 150.38/150.64 %
% 150.38/150.64 % ------ iProver source info
% 150.38/150.64
% 150.38/150.64 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.38/150.64 % git: non_committed_changes: true
% 150.38/150.64 % git: last_make_outside_of_git: true
% 150.38/150.64
% 150.38/150.64 %
% 150.38/150.64 % ------ Input Options
% 150.38/150.64
% 150.38/150.64 % --out_options all
% 150.38/150.64 % --tptp_safe_out true
% 150.38/150.64 % --problem_path ""
% 150.38/150.64 % --include_path ""
% 150.38/150.64 % --clausifier .//eprover
% 150.38/150.64 % --clausifier_options --tstp-format
% 150.38/150.64 % --stdin false
% 150.38/150.64 % --dbg_backtrace false
% 150.38/150.64 % --dbg_dump_prop_clauses false
% 150.38/150.64 % --dbg_dump_prop_clauses_file -
% 150.38/150.64 % --dbg_out_stat false
% 150.38/150.64
% 150.38/150.64 % ------ General Options
% 150.38/150.64
% 150.38/150.64 % --fof false
% 150.38/150.64 % --time_out_real 150.
% 150.38/150.64 % --time_out_prep_mult 0.2
% 150.38/150.64 % --time_out_virtual -1.
% 150.38/150.64 % --schedule none
% 150.38/150.64 % --ground_splitting input
% 150.38/150.64 % --splitting_nvd 16
% 150.38/150.64 % --non_eq_to_eq false
% 150.38/150.64 % --prep_gs_sim true
% 150.38/150.64 % --prep_unflatten false
% 150.38/150.64 % --prep_res_sim true
% 150.38/150.64 % --prep_upred true
% 150.38/150.64 % --res_sim_input true
% 150.38/150.64 % --clause_weak_htbl true
% 150.38/150.64 % --gc_record_bc_elim false
% 150.38/150.64 % --symbol_type_check false
% 150.38/150.64 % --clausify_out false
% 150.38/150.64 % --large_theory_mode false
% 150.38/150.64 % --prep_sem_filter none
% 150.38/150.64 % --prep_sem_filter_out false
% 150.38/150.64 % --preprocessed_out false
% 150.38/150.64 % --sub_typing false
% 150.38/150.64 % --brand_transform false
% 150.38/150.64 % --pure_diseq_elim true
% 150.38/150.64 % --min_unsat_core false
% 150.38/150.64 % --pred_elim true
% 150.38/150.64 % --add_important_lit false
% 150.38/150.64 % --soft_assumptions false
% 150.38/150.64 % --reset_solvers false
% 150.38/150.64 % --bc_imp_inh []
% 150.38/150.64 % --conj_cone_tolerance 1.5
% 150.38/150.64 % --prolific_symb_bound 500
% 150.38/150.64 % --lt_threshold 2000
% 150.38/150.64
% 150.38/150.64 % ------ SAT Options
% 150.38/150.64
% 150.38/150.64 % --sat_mode false
% 150.38/150.64 % --sat_fm_restart_options ""
% 150.38/150.64 % --sat_gr_def false
% 150.38/150.64 % --sat_epr_types true
% 150.38/150.64 % --sat_non_cyclic_types false
% 150.38/150.64 % --sat_finite_models false
% 150.38/150.64 % --sat_fm_lemmas false
% 150.38/150.64 % --sat_fm_prep false
% 150.38/150.64 % --sat_fm_uc_incr true
% 150.38/150.64 % --sat_out_model small
% 150.38/150.64 % --sat_out_clauses false
% 150.38/150.64
% 150.38/150.64 % ------ QBF Options
% 150.38/150.64
% 150.38/150.64 % --qbf_mode false
% 150.38/150.64 % --qbf_elim_univ true
% 150.38/150.64 % --qbf_sk_in true
% 150.38/150.64 % --qbf_pred_elim true
% 150.38/150.64 % --qbf_split 32
% 150.38/150.64
% 150.38/150.64 % ------ BMC1 Options
% 150.38/150.64
% 150.38/150.64 % --bmc1_incremental false
% 150.38/150.64 % --bmc1_axioms reachable_all
% 150.38/150.64 % --bmc1_min_bound 0
% 150.38/150.64 % --bmc1_max_bound -1
% 150.38/150.64 % --bmc1_max_bound_default -1
% 150.38/150.64 % --bmc1_symbol_reachability true
% 150.38/150.64 % --bmc1_property_lemmas false
% 150.38/150.64 % --bmc1_k_induction false
% 150.38/150.64 % --bmc1_non_equiv_states false
% 150.38/150.64 % --bmc1_deadlock false
% 150.38/150.64 % --bmc1_ucm false
% 150.38/150.64 % --bmc1_add_unsat_core none
% 150.38/150.64 % --bmc1_unsat_core_children false
% 150.38/150.64 % --bmc1_unsat_core_extrapolate_axioms false
% 150.38/150.64 % --bmc1_out_stat full
% 150.38/150.64 % --bmc1_ground_init false
% 150.38/150.64 % --bmc1_pre_inst_next_state false
% 150.38/150.64 % --bmc1_pre_inst_state false
% 150.38/150.64 % --bmc1_pre_inst_reach_state false
% 150.38/150.64 % --bmc1_out_unsat_core false
% 150.38/150.64 % --bmc1_aig_witness_out false
% 150.38/150.64 % --bmc1_verbose false
% 150.38/150.64 % --bmc1_dump_clauses_tptp false
% 153.72/154.01 % --bmc1_dump_unsat_core_tptp false
% 153.72/154.01 % --bmc1_dump_file -
% 153.72/154.01 % --bmc1_ucm_expand_uc_limit 128
% 153.72/154.01 % --bmc1_ucm_n_expand_iterations 6
% 153.72/154.01 % --bmc1_ucm_extend_mode 1
% 153.72/154.01 % --bmc1_ucm_init_mode 2
% 153.72/154.01 % --bmc1_ucm_cone_mode none
% 153.72/154.01 % --bmc1_ucm_reduced_relation_type 0
% 153.72/154.01 % --bmc1_ucm_relax_model 4
% 153.72/154.01 % --bmc1_ucm_full_tr_after_sat true
% 153.72/154.01 % --bmc1_ucm_expand_neg_assumptions false
% 153.72/154.01 % --bmc1_ucm_layered_model none
% 153.72/154.01 % --bmc1_ucm_max_lemma_size 10
% 153.72/154.01
% 153.72/154.01 % ------ AIG Options
% 153.72/154.01
% 153.72/154.01 % --aig_mode false
% 153.72/154.01
% 153.72/154.01 % ------ Instantiation Options
% 153.72/154.01
% 153.72/154.01 % --instantiation_flag true
% 153.72/154.01 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 153.72/154.01 % --inst_solver_per_active 750
% 153.72/154.01 % --inst_solver_calls_frac 0.5
% 153.72/154.01 % --inst_passive_queue_type priority_queues
% 153.72/154.01 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 153.72/154.01 % --inst_passive_queues_freq [25;2]
% 153.72/154.01 % --inst_dismatching true
% 153.72/154.01 % --inst_eager_unprocessed_to_passive true
% 153.72/154.01 % --inst_prop_sim_given true
% 153.72/154.01 % --inst_prop_sim_new false
% 153.72/154.01 % --inst_orphan_elimination true
% 153.72/154.01 % --inst_learning_loop_flag true
% 153.72/154.01 % --inst_learning_start 3000
% 153.72/154.01 % --inst_learning_factor 2
% 153.72/154.01 % --inst_start_prop_sim_after_learn 3
% 153.72/154.01 % --inst_sel_renew solver
% 153.72/154.01 % --inst_lit_activity_flag true
% 153.72/154.01 % --inst_out_proof true
% 153.72/154.01
% 153.72/154.01 % ------ Resolution Options
% 153.72/154.01
% 153.72/154.01 % --resolution_flag true
% 153.72/154.01 % --res_lit_sel kbo_max
% 153.72/154.01 % --res_to_prop_solver none
% 153.72/154.01 % --res_prop_simpl_new false
% 153.72/154.01 % --res_prop_simpl_given false
% 153.72/154.01 % --res_passive_queue_type priority_queues
% 153.72/154.01 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 153.72/154.01 % --res_passive_queues_freq [15;5]
% 153.72/154.01 % --res_forward_subs full
% 153.72/154.01 % --res_backward_subs full
% 153.72/154.01 % --res_forward_subs_resolution true
% 153.72/154.01 % --res_backward_subs_resolution true
% 153.72/154.01 % --res_orphan_elimination false
% 153.72/154.01 % --res_time_limit 1000.
% 153.72/154.01 % --res_out_proof true
% 153.72/154.01 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_cf9c75.s
% 153.72/154.01 % --modulo true
% 153.72/154.01
% 153.72/154.01 % ------ Combination Options
% 153.72/154.01
% 153.72/154.01 % --comb_res_mult 1000
% 153.72/154.01 % --comb_inst_mult 300
% 153.72/154.01 % ------
% 153.72/154.01
% 153.72/154.01 % ------ Parsing...% successful
% 153.72/154.01
% 153.72/154.01 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 153.72/154.01
% 153.72/154.01 % ------ Proving...
% 153.72/154.01 % ------ Problem Properties
% 153.72/154.01
% 153.72/154.01 %
% 153.72/154.01 % EPR false
% 153.72/154.01 % Horn false
% 153.72/154.01 % Has equality true
% 153.72/154.01
% 153.72/154.01 % % ------ Input Options Time Limit: Unbounded
% 153.72/154.01
% 153.72/154.01
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 Compiling...
% 153.72/154.01 Loading plugin: done.
% 153.72/154.01 % % ------ Current options:
% 153.72/154.01
% 153.72/154.01 % ------ Input Options
% 153.72/154.01
% 153.72/154.01 % --out_options all
% 153.72/154.01 % --tptp_safe_out true
% 153.72/154.01 % --problem_path ""
% 153.72/154.01 % --include_path ""
% 153.72/154.01 % --clausifier .//eprover
% 153.72/154.01 % --clausifier_options --tstp-format
% 153.72/154.01 % --stdin false
% 153.72/154.01 % --dbg_backtrace false
% 153.72/154.01 % --dbg_dump_prop_clauses false
% 153.72/154.01 % --dbg_dump_prop_clauses_file -
% 153.72/154.01 % --dbg_out_stat false
% 153.72/154.01
% 153.72/154.01 % ------ General Options
% 153.72/154.01
% 153.72/154.01 % --fof false
% 153.72/154.01 % --time_out_real 150.
% 153.72/154.01 % --time_out_prep_mult 0.2
% 153.72/154.01 % --time_out_virtual -1.
% 153.72/154.01 % --schedule none
% 153.72/154.01 % --ground_splitting input
% 153.72/154.01 % --splitting_nvd 16
% 153.72/154.01 % --non_eq_to_eq false
% 153.72/154.01 % --prep_gs_sim true
% 153.72/154.01 % --prep_unflatten false
% 153.72/154.01 % --prep_res_sim true
% 153.72/154.01 % --prep_upred true
% 153.72/154.01 % --res_sim_input true
% 153.72/154.01 % --clause_weak_htbl true
% 153.72/154.01 % --gc_record_bc_elim false
% 153.72/154.01 % --symbol_type_check false
% 153.72/154.01 % --clausify_out false
% 153.72/154.01 % --large_theory_mode false
% 153.72/154.01 % --prep_sem_filter none
% 153.72/154.01 % --prep_sem_filter_out false
% 153.72/154.01 % --preprocessed_out false
% 153.72/154.01 % --sub_typing false
% 153.72/154.01 % --brand_transform false
% 153.72/154.01 % --pure_diseq_elim true
% 153.72/154.01 % --min_unsat_core false
% 153.72/154.01 % --pred_elim true
% 153.72/154.01 % --add_important_lit false
% 153.72/154.01 % --soft_assumptions false
% 153.72/154.01 % --reset_solvers false
% 153.72/154.01 % --bc_imp_inh []
% 153.72/154.01 % --conj_cone_tolerance 1.5
% 153.72/154.01 % --prolific_symb_bound 500
% 153.72/154.01 % --lt_threshold 2000
% 153.72/154.01
% 153.72/154.01 % ------ SAT Options
% 153.72/154.01
% 153.72/154.01 % --sat_mode false
% 153.72/154.01 % --sat_fm_restart_options ""
% 153.72/154.01 % --sat_gr_def false
% 153.72/154.01 % --sat_epr_types true
% 153.72/154.01 % --sat_non_cyclic_types false
% 153.72/154.01 % --sat_finite_models false
% 153.72/154.01 % --sat_fm_lemmas false
% 153.72/154.01 % --sat_fm_prep false
% 153.72/154.01 % --sat_fm_uc_incr true
% 153.72/154.01 % --sat_out_model small
% 153.72/154.01 % --sat_out_clauses false
% 153.72/154.01
% 153.72/154.01 % ------ QBF Options
% 153.72/154.01
% 153.72/154.01 % --qbf_mode false
% 153.72/154.01 % --qbf_elim_univ true
% 153.72/154.01 % --qbf_sk_in true
% 153.72/154.01 % --qbf_pred_elim true
% 153.72/154.01 % --qbf_split 32
% 153.72/154.01
% 153.72/154.01 % ------ BMC1 Options
% 153.72/154.01
% 153.72/154.01 % --bmc1_incremental false
% 153.72/154.01 % --bmc1_axioms reachable_all
% 153.72/154.01 % --bmc1_min_bound 0
% 153.72/154.01 % --bmc1_max_bound -1
% 153.72/154.01 % --bmc1_max_bound_default -1
% 153.72/154.01 % --bmc1_symbol_reachability true
% 153.72/154.01 % --bmc1_property_lemmas false
% 153.72/154.01 % --bmc1_k_induction false
% 153.72/154.01 % --bmc1_non_equiv_states false
% 153.72/154.01 % --bmc1_deadlock false
% 153.72/154.01 % --bmc1_ucm false
% 153.72/154.01 % --bmc1_add_unsat_core none
% 153.72/154.01 % --bmc1_unsat_core_children false
% 153.72/154.01 % --bmc1_unsat_core_extrapolate_axioms false
% 153.72/154.01 % --bmc1_out_stat full
% 153.72/154.01 % --bmc1_ground_init false
% 153.72/154.01 % --bmc1_pre_inst_next_state false
% 153.72/154.01 % --bmc1_pre_inst_state false
% 153.72/154.01 % --bmc1_pre_inst_reach_state false
% 153.72/154.01 % --bmc1_out_unsat_core false
% 153.72/154.01 % --bmc1_aig_witness_out false
% 153.72/154.01 % --bmc1_verbose false
% 153.72/154.01 % --bmc1_dump_clauses_tptp false
% 153.72/154.01 % --bmc1_dump_unsat_core_tptp false
% 153.72/154.01 % --bmc1_dump_file -
% 153.72/154.01 % --bmc1_ucm_expand_uc_limit 128
% 153.72/154.01 % --bmc1_ucm_n_expand_iterations 6
% 153.72/154.01 % --bmc1_ucm_extend_mode 1
% 153.72/154.01 % --bmc1_ucm_init_mode 2
% 153.72/154.01 % --bmc1_ucm_cone_mode none
% 153.72/154.01 % --bmc1_ucm_reduced_relation_type 0
% 153.72/154.01 % --bmc1_ucm_relax_model 4
% 153.72/154.01 % --bmc1_ucm_full_tr_after_sat true
% 153.72/154.01 % --bmc1_ucm_expand_neg_assumptions false
% 153.72/154.01 % --bmc1_ucm_layered_model none
% 153.72/154.01 % --bmc1_ucm_max_lemma_size 10
% 153.72/154.01
% 153.72/154.01 % ------ AIG Options
% 153.72/154.01
% 153.72/154.01 % --aig_mode false
% 153.72/154.01
% 153.72/154.01 % ------ Instantiation Options
% 153.72/154.01
% 153.72/154.01 % --instantiation_flag true
% 153.72/154.01 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 153.72/154.01 % --inst_solver_per_active 750
% 153.72/154.01 % --inst_solver_calls_frac 0.5
% 153.72/154.01 % --inst_passive_queue_type priority_queues
% 153.72/154.01 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 153.72/154.01 % --inst_passive_queues_freq [25;2]
% 153.72/154.01 % --inst_dismatching true
% 153.72/154.01 % --inst_eager_unprocessed_to_passive true
% 153.72/154.01 % --inst_prop_sim_given true
% 153.72/154.01 % --inst_prop_sim_new false
% 153.72/154.01 % --inst_orphan_elimination true
% 153.72/154.01 % --inst_learning_loop_flag true
% 153.72/154.01 % --inst_learning_start 3000
% 153.72/154.01 % --inst_learning_factor 2
% 153.72/154.01 % --inst_start_prop_sim_after_learn 3
% 153.72/154.01 % --inst_sel_renew solver
% 153.72/154.01 % --inst_lit_activity_flag true
% 153.72/154.01 % --inst_out_proof true
% 153.72/154.01
% 153.72/154.01 % ------ Resolution Options
% 153.72/154.01
% 153.72/154.01 % --resolution_flag true
% 153.72/154.01 % --res_lit_sel kbo_max
% 153.72/154.01 % --res_to_prop_solver none
% 153.72/154.01 % --res_prop_simpl_new false
% 153.72/154.01 % --res_prop_simpl_given false
% 153.72/154.01 % --res_passive_queue_type priority_queues
% 153.72/154.01 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 153.72/154.01 % --res_passive_queues_freq [15;5]
% 153.72/154.01 % --res_forward_subs full
% 153.72/154.01 % --res_backward_subs full
% 153.72/154.01 % --res_forward_subs_resolution true
% 153.72/154.01 % --res_backward_subs_resolution true
% 153.72/154.01 % --res_orphan_elimination false
% 153.72/154.01 % --res_time_limit 1000.
% 153.72/154.01 % --res_out_proof true
% 153.72/154.01 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_cf9c75.s
% 153.72/154.01 % --modulo true
% 153.72/154.01
% 153.72/154.01 % ------ Combination Options
% 153.72/154.01
% 153.72/154.01 % --comb_res_mult 1000
% 153.72/154.01 % --comb_inst_mult 300
% 153.72/154.01 % ------
% 153.72/154.01
% 153.72/154.01
% 153.72/154.01
% 153.72/154.01 % ------ Proving...
% 153.72/154.01 % warning: shown sat in sat incomplete mode
% 153.72/154.01 %
% 153.72/154.01
% 153.72/154.01
% 153.72/154.01
% 153.72/154.01
% 153.72/154.01 cnf(c_1091,negated_conjecture,
% 153.72/154.01 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 153.72/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_4) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_1417,negated_conjecture,
% 153.72/154.01 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 153.72/154.01 inference(copy,[status(esa)],[c_1091]) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_1421,negated_conjecture,
% 153.72/154.01 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 153.72/154.01 inference(copy,[status(esa)],[c_1417]) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_1422,negated_conjecture,
% 153.72/154.01 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 153.72/154.01 inference(copy,[status(esa)],[c_1421]) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_1423,negated_conjecture,
% 153.72/154.01 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 153.72/154.01 inference(copy,[status(esa)],[c_1422]) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_4605,negated_conjecture,
% 153.72/154.01 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 153.72/154.01 inference(copy,[status(esa)],[c_1423]) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_4606,plain,
% 153.72/154.01 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 153.72/154.01 inference(rewriting,[status(thm)],[c_4605]) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_638,plain,
% 153.72/154.01 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 153.72/154.01 | ~ c_Type_Otyping(X2,X0,X3)
% 153.72/154.01 | c_Type_Otyping(X2,X1,X3) ),
% 153.72/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2245_0) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_3699,plain,
% 153.72/154.01 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 153.72/154.01 | ~ c_Type_Otyping(X2,X0,X3)
% 153.72/154.01 | c_Type_Otyping(X2,X1,X3) ),
% 153.72/154.01 inference(copy,[status(esa)],[c_638]) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_4609,plain,
% 153.72/154.01 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.72/154.01 | ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),X0,v_T_H____) ),
% 153.72/154.01 inference(resolution,[status(thm)],[c_4606,c_3699]) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_4610,plain,
% 153.72/154.01 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.72/154.01 | ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),X0,v_T_H____) ),
% 153.72/154.01 inference(rewriting,[status(thm)],[c_4609]) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_1087,plain,
% 153.72/154.01 ( c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X0,X1,X2,X3),X0,tc_Type_Otype,tc_Type_Otype) = X1
% 153.72/154.01 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.72/154.01 | ~ c_Type_Otypings(X2,X5,X6)
% 153.72/154.01 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.72/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2022_3) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_4597,plain,
% 153.72/154.01 ( c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X0,X1,X2,X3),X0,tc_Type_Otype,tc_Type_Otype) = X1
% 153.72/154.01 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.72/154.01 | ~ c_Type_Otypings(X2,X5,X6)
% 153.72/154.01 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.72/154.01 inference(copy,[status(esa)],[c_1087]) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_4598,plain,
% 153.72/154.01 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.72/154.01 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
% 153.72/154.01 | ~ c_Type_Otypings(X0,X2,X6)
% 153.72/154.01 | c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X3,X0,X4),X5,tc_Type_Otype,tc_Type_Otype) = X3 ),
% 153.72/154.01 inference(rewriting,[status(thm)],[c_4597]) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_1081,plain,
% 153.72/154.01 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 153.72/154.01 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2)
% 153.72/154.01 | ~ c_Type_Otypings(X0,X5,X6)
% 153.72/154.01 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 153.72/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2024_3) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_4585,plain,
% 153.72/154.01 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 153.72/154.01 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2)
% 153.72/154.01 | ~ c_Type_Otypings(X0,X5,X6)
% 153.72/154.01 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 153.72/154.01 inference(copy,[status(esa)],[c_1081]) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_4586,plain,
% 153.72/154.01 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.72/154.01 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
% 153.72/154.01 | c_Type_Otypings(X0,X4,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X3,X0,X4))
% 153.72/154.01 | ~ c_Type_Otypings(X0,X2,X6) ),
% 153.72/154.01 inference(rewriting,[status(thm)],[c_4585]) ).
% 153.72/154.01
% 153.72/154.01 cnf(c_1072,plain,
% 153.72/154.01 ( 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)))
% 153.84/154.01 | ~ 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)))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2028_2) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4567,plain,
% 153.84/154.01 ( 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)))
% 153.84/154.01 | ~ 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)))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 153.84/154.01 inference(copy,[status(esa)],[c_1072]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4568,plain,
% 153.84/154.01 ( ~ 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)))
% 153.84/154.01 | 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)))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 153.84/154.01 inference(rewriting,[status(thm)],[c_4567]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_1069,plain,
% 153.84/154.01 ( c_Type_Otypings(X0,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X1),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.84/154.01 | ~ c_Type_Otyping(X0,X1,X5)
% 153.84/154.01 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2029_2) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4561,plain,
% 153.84/154.01 ( c_Type_Otypings(X0,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X1),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.84/154.01 | ~ c_Type_Otyping(X0,X1,X5)
% 153.84/154.01 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 153.84/154.01 inference(copy,[status(esa)],[c_1069]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4562,plain,
% 153.84/154.01 ( ~ c_Type_Otyping(X0,X1,X2)
% 153.84/154.01 | ~ c_Type_Otypings(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 153.84/154.01 | c_Type_Otypings(X0,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X1),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
% 153.84/154.01 inference(rewriting,[status(thm)],[c_4561]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_1066,plain,
% 153.84/154.01 ( X0 = X1
% 153.84/154.01 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.84/154.01 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2031_2) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4555,plain,
% 153.84/154.01 ( X0 = X1
% 153.84/154.01 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.84/154.01 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.84/154.01 inference(copy,[status(esa)],[c_1066]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4556,plain,
% 153.84/154.01 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.84/154.01 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.84/154.01 | X3 = X4 ),
% 153.84/154.01 inference(rewriting,[status(thm)],[c_4555]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_996,plain,
% 153.84/154.01 ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 153.84/154.01 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 153.84/154.01 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2086_2) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4415,plain,
% 153.84/154.01 ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 153.84/154.01 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 153.84/154.01 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 153.84/154.01 inference(copy,[status(esa)],[c_996]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4416,plain,
% 153.84/154.01 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.84/154.01 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4),X4)
% 153.84/154.01 | c_ListOrder_Ostep1(X0,X3,X5,X4) ),
% 153.84/154.01 inference(rewriting,[status(thm)],[c_4415]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_986,plain,
% 153.84/154.01 ( X0 = X1
% 153.84/154.01 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 153.84/154.01 | ~ c_ListOrder_Ostep1(X2,c_List_Oappend(X3,c_List_Olist_OCons(X0,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),X4) ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2090_2) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4395,plain,
% 153.84/154.01 ( X0 = X1
% 153.84/154.01 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 153.84/154.01 | ~ c_ListOrder_Ostep1(X2,c_List_Oappend(X3,c_List_Olist_OCons(X0,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),X4) ),
% 153.84/154.01 inference(copy,[status(esa)],[c_986]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4396,plain,
% 153.84/154.01 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.84/154.01 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4),X4)
% 153.84/154.01 | X1 = X2 ),
% 153.84/154.01 inference(rewriting,[status(thm)],[c_4395]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_980,plain,
% 153.84/154.01 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 153.84/154.01 | ~ c_Type_Otyping(X2,X3,X0)
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 153.84/154.01 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 153.84/154.01 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6) ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2093_2) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4383,plain,
% 153.84/154.01 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 153.84/154.01 | ~ c_Type_Otyping(X2,X3,X0)
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 153.84/154.01 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 153.84/154.01 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6) ),
% 153.84/154.01 inference(copy,[status(esa)],[c_980]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4384,plain,
% 153.84/154.01 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.84/154.01 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.84/154.01 | ~ c_Type_Otyping(X3,X1,X4)
% 153.84/154.01 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 153.84/154.01 inference(rewriting,[status(thm)],[c_4383]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_977,plain,
% 153.84/154.01 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.84/154.01 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 153.84/154.01 | ~ c_Type_Otyping(X3,X1,X4)
% 153.84/154.01 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2093_5) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4377,plain,
% 153.84/154.01 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.84/154.01 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 153.84/154.01 | ~ c_Type_Otyping(X3,X1,X4)
% 153.84/154.01 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 153.84/154.01 inference(copy,[status(esa)],[c_977]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4378,plain,
% 153.84/154.01 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 153.84/154.01 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.84/154.01 | ~ c_Type_Otyping(X3,X1,X4)
% 153.84/154.01 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 153.84/154.01 inference(rewriting,[status(thm)],[c_4377]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_974,plain,
% 153.84/154.01 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 153.84/154.01 | ~ c_Type_Otyping(X2,X3,X1)
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 153.84/154.01 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 153.84/154.01 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6) ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2094_2) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4371,plain,
% 153.84/154.01 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 153.84/154.01 | ~ c_Type_Otyping(X2,X3,X1)
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 153.84/154.01 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 153.84/154.01 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6) ),
% 153.84/154.01 inference(copy,[status(esa)],[c_974]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4372,plain,
% 153.84/154.01 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.84/154.01 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.84/154.01 | ~ c_Type_Otyping(X3,X1,X4)
% 153.84/154.01 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 153.84/154.01 inference(rewriting,[status(thm)],[c_4371]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_971,plain,
% 153.84/154.01 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.84/154.01 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 153.84/154.01 | ~ c_Type_Otyping(X3,X1,X4)
% 153.84/154.01 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2094_5) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4365,plain,
% 153.84/154.01 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.84/154.01 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 153.84/154.01 | ~ c_Type_Otyping(X3,X1,X4)
% 153.84/154.01 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 153.84/154.01 inference(copy,[status(esa)],[c_971]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4366,plain,
% 153.84/154.01 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.84/154.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 153.84/154.01 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.84/154.01 | ~ c_Type_Otyping(X3,X1,X4)
% 153.84/154.01 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 153.84/154.01 inference(rewriting,[status(thm)],[c_4365]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_966,plain,
% 153.84/154.01 ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 153.84/154.01 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 153.84/154.01 | ~ c_Type_Otyping(X0,X2,X5) ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2103_2) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4355,plain,
% 153.84/154.01 ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 153.84/154.01 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 153.84/154.01 | ~ c_Type_Otyping(X0,X2,X5) ),
% 153.84/154.01 inference(copy,[status(esa)],[c_966]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4356,plain,
% 153.84/154.01 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 153.84/154.01 | c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X5),X1),X4)
% 153.84/154.01 | ~ c_Type_Otyping(X0,X5,X2) ),
% 153.84/154.01 inference(rewriting,[status(thm)],[c_4355]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_963,plain,
% 153.84/154.01 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.84/154.01 | c_ListOrder_Ostep1(X0,X3,X4,X5)
% 153.84/154.01 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X5),c_List_Olist_OCons(X2,X4,X5),X5) ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2106_2) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4349,plain,
% 153.84/154.01 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.84/154.01 | c_ListOrder_Ostep1(X0,X3,X4,X5)
% 153.84/154.01 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X5),c_List_Olist_OCons(X2,X4,X5),X5) ),
% 153.84/154.01 inference(copy,[status(esa)],[c_963]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4350,plain,
% 153.84/154.01 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.84/154.01 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4)
% 153.84/154.01 | c_ListOrder_Ostep1(X0,X3,X5,X4) ),
% 153.84/154.01 inference(rewriting,[status(thm)],[c_4349]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_949,plain,
% 153.84/154.01 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.84/154.01 | X2 = X1
% 153.84/154.01 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4) ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2117_2) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4321,plain,
% 153.84/154.01 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.84/154.01 | X2 = X1
% 153.84/154.01 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4) ),
% 153.84/154.01 inference(copy,[status(esa)],[c_949]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4322,plain,
% 153.84/154.01 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.84/154.01 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4)
% 153.84/154.01 | X2 = X1 ),
% 153.84/154.01 inference(rewriting,[status(thm)],[c_4321]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_922,plain,
% 153.84/154.01 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 153.84/154.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.84/154.01 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2130_3) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4267,plain,
% 153.84/154.01 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 153.84/154.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.84/154.01 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.01 inference(copy,[status(esa)],[c_922]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4268,plain,
% 153.84/154.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 153.84/154.01 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 153.84/154.01 inference(rewriting,[status(thm)],[c_4267]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_914,plain,
% 153.84/154.01 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.84/154.01 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2132_3) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4251,plain,
% 153.84/154.01 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.84/154.01 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.01 inference(copy,[status(esa)],[c_914]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4252,plain,
% 153.84/154.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 153.84/154.01 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 153.84/154.01 inference(rewriting,[status(thm)],[c_4251]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_909,plain,
% 153.84/154.01 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 153.84/154.01 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2133_4) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4241,plain,
% 153.84/154.01 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 153.84/154.01 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.01 inference(copy,[status(esa)],[c_909]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4242,plain,
% 153.84/154.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.01 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 153.84/154.01 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 153.84/154.01 inference(rewriting,[status(thm)],[c_4241]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_897,plain,
% 153.84/154.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.84/154.01 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.01 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 153.84/154.01 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 153.84/154.01 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2141_0) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4217,plain,
% 153.84/154.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.84/154.01 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.01 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 153.84/154.01 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 153.84/154.01 inference(copy,[status(esa)],[c_897]) ).
% 153.84/154.01
% 153.84/154.01 cnf(c_4218,plain,
% 153.84/154.01 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.84/154.02 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 153.84/154.02 | ~ c_lessequals(X3,X4,X1)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_4217]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_880,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.02 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 153.84/154.02 | X1 = X3
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2149_1) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4183,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.02 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 153.84/154.02 | X1 = X3
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_880]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4184,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 153.84/154.02 | c_Power_Opower__class_Opower(X3,X1,X0) != c_Power_Opower__class_Opower(X2,X1,X0)
% 153.84/154.02 | X3 = X2 ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_4183]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_876,plain,
% 153.84/154.02 ( X0 = X1
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 153.84/154.02 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2149_5) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4175,plain,
% 153.84/154.02 ( X0 = X1
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 153.84/154.02 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_876]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4176,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 153.84/154.02 | c_Power_Opower__class_Opower(X2,X1,X0) != c_Power_Opower__class_Opower(X3,X1,X0)
% 153.84/154.02 | X2 = X3 ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_4175]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_860,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2154_1) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4143,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_860]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4144,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_4143]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_856,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 153.84/154.02 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.02 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 153.84/154.02 | ~ c_lessequals(X3,X4,X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2155_1) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4135,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 153.84/154.02 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.02 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 153.84/154.02 | ~ c_lessequals(X3,X4,X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_856]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4136,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 153.84/154.02 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.84/154.02 | ~ c_lessequals(X2,X4,X0)
% 153.84/154.02 | ~ c_lessequals(X1,X3,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_4135]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_850,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.84/154.02 | ~ c_lessequals(X1,X3,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2156_3) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4123,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.84/154.02 | ~ c_lessequals(X1,X3,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_850]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4124,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.84/154.02 | ~ c_lessequals(X1,X3,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_4123]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_829,plain,
% 153.84/154.02 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2166_1) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4081,plain,
% 153.84/154.02 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_829]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4082,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_4081]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_822,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.02 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 153.84/154.02 | X1 = X3
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2171_1) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4067,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.02 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 153.84/154.02 | X1 = X3
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_822]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4068,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 153.84/154.02 | X2 = X1 ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_4067]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_819,plain,
% 153.84/154.02 ( X0 = X1
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.84/154.02 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2171_4) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4061,plain,
% 153.84/154.02 ( X0 = X1
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.84/154.02 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_819]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4062,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 153.84/154.02 | X1 = X2 ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_4061]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_812,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2174_3) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4047,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_812]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4048,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_4047]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_810,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2178_1) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4043,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_810]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4044,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_4043]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_806,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2179_1) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4035,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_806]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4036,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_4035]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_796,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2181_3) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4015,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_796]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4016,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_4015]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_792,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2182_3) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4007,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_792]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_4008,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_4007]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_786,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2184_1) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3995,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_786]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3996,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3995]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_782,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2185_1) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3987,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_782]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3988,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3987]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_771,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 153.84/154.02 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2188_4) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3965,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 153.84/154.02 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_771]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3966,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.84/154.02 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3965]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_766,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.84/154.02 | ~ c_lessequals(X0,X3,X1)
% 153.84/154.02 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2189_4) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3955,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.84/154.02 | ~ c_lessequals(X0,X3,X1)
% 153.84/154.02 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_766]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3956,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.84/154.02 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.02 | ~ c_lessequals(X2,X3,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3955]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_761,plain,
% 153.84/154.02 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 153.84/154.02 | ~ c_lessequals(X0,X2,X1)
% 153.84/154.02 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2190_4) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3945,plain,
% 153.84/154.02 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 153.84/154.02 | ~ c_lessequals(X0,X2,X1)
% 153.84/154.02 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_761]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3946,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.84/154.02 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 153.84/154.02 | ~ c_lessequals(X2,X3,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3945]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_756,plain,
% 153.84/154.02 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.84/154.02 | ~ c_lessequals(X0,X3,X1)
% 153.84/154.02 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2191_4) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3935,plain,
% 153.84/154.02 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.84/154.02 | ~ c_lessequals(X0,X3,X1)
% 153.84/154.02 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_756]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3936,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.84/154.02 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.02 | ~ c_lessequals(X2,X3,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3935]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_728,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2200_3) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3879,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_728]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3880,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3879]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_721,plain,
% 153.84/154.02 ( ~ c_List_Olistsp(X0,X1,X2)
% 153.84/154.02 | c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)
% 153.84/154.02 | ~ c_List_Olistsp(X0,X3,X2) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2203_1) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3865,plain,
% 153.84/154.02 ( ~ c_List_Olistsp(X0,X1,X2)
% 153.84/154.02 | c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)
% 153.84/154.02 | ~ c_List_Olistsp(X0,X3,X2) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_721]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3866,plain,
% 153.84/154.02 ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 153.84/154.02 | ~ c_List_Olistsp(X0,X2,X3)
% 153.84/154.02 | ~ c_List_Olistsp(X0,X1,X3) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3865]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_717,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2204_2) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3857,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_717]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3858,plain,
% 153.84/154.02 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3857]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_714,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.84/154.02 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2205_2) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3851,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.84/154.02 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_714]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3852,plain,
% 153.84/154.02 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3851]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_711,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.84/154.02 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2206_2) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3845,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.84/154.02 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_711]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3846,plain,
% 153.84/154.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3845]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_708,plain,
% 153.84/154.02 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.84/154.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.84/154.02 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2207_2) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3839,plain,
% 153.84/154.02 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.84/154.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.84/154.02 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_708]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3840,plain,
% 153.84/154.02 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.02 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3839]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_705,plain,
% 153.84/154.02 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.84/154.02 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2208_2) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3833,plain,
% 153.84/154.02 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.84/154.02 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_705]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3834,plain,
% 153.84/154.02 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.84/154.02 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3833]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_687,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2227_1) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3797,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_687]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3798,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.02 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3797]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_684,plain,
% 153.84/154.02 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.84/154.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2227_4) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3791,plain,
% 153.84/154.02 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.84/154.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_684]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3792,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.02 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3791]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_682,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2228_1) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3787,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_682]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3788,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.02 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3787]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_679,plain,
% 153.84/154.02 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 153.84/154.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2228_4) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3781,plain,
% 153.84/154.02 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 153.84/154.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_679]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3782,plain,
% 153.84/154.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.02 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3781]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_671,plain,
% 153.84/154.02 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2231_0) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3765,plain,
% 153.84/154.02 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_671]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3766,plain,
% 153.84/154.02 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 153.84/154.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3765]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_663,plain,
% 153.84/154.02 ( X0 = X1
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 153.84/154.02 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2233_3) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3749,plain,
% 153.84/154.02 ( X0 = X1
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 153.84/154.02 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_663]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3750,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.84/154.02 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 153.84/154.02 | X2 = X3 ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3749]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_613,plain,
% 153.84/154.02 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.02 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2259_0) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3649,plain,
% 153.84/154.02 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.02 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_613]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3650,plain,
% 153.84/154.02 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.84/154.02 | ~ c_lessequals(X3,X1,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3649]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_606,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.02 | ~ c_lessequals(X3,X1,X2)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.84/154.02 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2260_3) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3635,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.02 | ~ c_lessequals(X3,X1,X2)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.84/154.02 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_606]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3636,plain,
% 153.84/154.02 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.02 | ~ c_lessequals(X3,X2,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3635]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_598,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.02 | ~ c_lessequals(X0,X3,X2)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.84/154.02 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2262_3) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3619,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.02 | ~ c_lessequals(X0,X3,X2)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.84/154.02 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_598]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3620,plain,
% 153.84/154.02 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.84/154.02 | ~ c_lessequals(X1,X3,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3619]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_597,plain,
% 153.84/154.02 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.02 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2263_0) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3617,plain,
% 153.84/154.02 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.02 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_597]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3618,plain,
% 153.84/154.02 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.02 | ~ c_lessequals(X2,X3,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3617]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_587,plain,
% 153.84/154.02 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2266_1) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3597,plain,
% 153.84/154.02 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_587]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3598,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3597]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_570,plain,
% 153.84/154.02 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.02 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.02 | c_lessequals(X2,X1,X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2279_1) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3563,plain,
% 153.84/154.02 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.02 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.02 | c_lessequals(X2,X1,X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_570]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3564,plain,
% 153.84/154.02 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.02 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.02 | c_lessequals(X2,X1,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3563]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_568,plain,
% 153.84/154.02 ( c_lessequals(X0,X1,X2)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.02 | ~ c_lessequals(X1,X0,X2)
% 153.84/154.02 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2279_3) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3559,plain,
% 153.84/154.02 ( c_lessequals(X0,X1,X2)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.02 | ~ c_lessequals(X1,X0,X2)
% 153.84/154.02 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_568]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3560,plain,
% 153.84/154.02 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.02 | c_lessequals(X2,X1,X0)
% 153.84/154.02 | ~ c_lessequals(X1,X2,X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3559]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_556,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | X0 = X1
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.84/154.02 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2285_3) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3535,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | X0 = X1
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.84/154.02 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_556]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3536,plain,
% 153.84/154.02 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.84/154.02 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 153.84/154.02 | X2 = X1 ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3535]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_483,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | X1 = X0
% 153.84/154.02 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2311_2) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3389,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | X1 = X0
% 153.84/154.02 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_483]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3390,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1)
% 153.84/154.02 | X1 = X0 ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3389]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_471,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.02 | X0 = X1
% 153.84/154.02 | ~ c_lessequals(X0,X1,X2)
% 153.84/154.02 | ~ class_Orderings_Olinorder(X2) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2317_3) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3365,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.02 | X0 = X1
% 153.84/154.02 | ~ c_lessequals(X0,X1,X2)
% 153.84/154.02 | ~ class_Orderings_Olinorder(X2) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_471]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3366,plain,
% 153.84/154.02 ( ~ class_Orderings_Olinorder(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.02 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.02 | X1 = X2 ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3365]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_455,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.02 | X0 = X1
% 153.84/154.02 | ~ c_lessequals(X0,X1,X2)
% 153.84/154.02 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2321_3) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3333,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.02 | X0 = X1
% 153.84/154.02 | ~ c_lessequals(X0,X1,X2)
% 153.84/154.02 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_455]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3334,plain,
% 153.84/154.02 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.02 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.02 | X1 = X2 ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3333]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_447,plain,
% 153.84/154.02 ( X0 = X1
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.02 | ~ c_lessequals(X1,X0,X2)
% 153.84/154.02 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2323_3) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3317,plain,
% 153.84/154.02 ( X0 = X1
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.02 | ~ c_lessequals(X1,X0,X2)
% 153.84/154.02 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_447]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3318,plain,
% 153.84/154.02 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.02 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.02 | X2 = X1 ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3317]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_431,plain,
% 153.84/154.02 ( c_Suc(X0) = X1
% 153.84/154.02 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2329_2) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3285,plain,
% 153.84/154.02 ( c_Suc(X0) = X1
% 153.84/154.02 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_431]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3286,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.84/154.02 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | c_Suc(X0) = X1 ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3285]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_403,plain,
% 153.84/154.02 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | ~ class_Power_Opower(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2342_5) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3229,plain,
% 153.84/154.02 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | ~ class_Power_Opower(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_403]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3230,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 153.84/154.02 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.84/154.02 | ~ class_Ring__and__Field_Omult__zero(X0)
% 153.84/154.02 | ~ class_Power_Opower(X0)
% 153.84/154.02 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.02 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3229]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_398,plain,
% 153.84/154.02 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | ~ class_Power_Opower(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2343_4) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3219,plain,
% 153.84/154.02 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | ~ class_Power_Opower(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_398]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3220,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 153.84/154.02 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.84/154.02 | ~ class_Ring__and__Field_Omult__zero(X0)
% 153.84/154.02 | ~ class_Power_Opower(X0)
% 153.84/154.02 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3219]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_395,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | X1 = X0
% 153.84/154.02 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2345_2) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3213,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | X1 = X0
% 153.84/154.02 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_395]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3214,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 153.84/154.02 | X1 = X0 ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3213]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_377,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.02 | X2 = X1
% 153.84/154.02 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2350_1) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3177,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.02 | X2 = X1
% 153.84/154.02 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_377]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3178,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 153.84/154.02 | X1 = X0 ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3177]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_375,plain,
% 153.84/154.02 ( X0 = X1
% 153.84/154.02 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2350_3) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3173,plain,
% 153.84/154.02 ( X0 = X1
% 153.84/154.02 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_375]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3174,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.02 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 153.84/154.02 | X0 = X1 ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3173]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_328,plain,
% 153.84/154.02 ( X0 = X1
% 153.84/154.02 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2372_2) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3079,plain,
% 153.84/154.02 ( X0 = X1
% 153.84/154.02 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_328]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3080,plain,
% 153.84/154.02 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.02 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.84/154.02 | X0 = X1 ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3079]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_294,plain,
% 153.84/154.02 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.02 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | ~ class_Power_Opower(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2384_5) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3011,plain,
% 153.84/154.02 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.02 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.02 | ~ class_Power_Opower(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.84/154.02 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.84/154.02 inference(copy,[status(esa)],[c_294]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_3012,plain,
% 153.84/154.02 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 153.84/154.02 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.84/154.02 | ~ class_Ring__and__Field_Omult__zero(X0)
% 153.84/154.02 | ~ class_Power_Opower(X0)
% 153.84/154.02 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.02 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.02 inference(rewriting,[status(thm)],[c_3011]) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_140,plain,
% 153.84/154.02 ( c_Type_Otypings(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____) ),
% 153.84/154.02 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2020_0) ).
% 153.84/154.02
% 153.84/154.02 cnf(c_2703,plain,
% 153.84/154.02 ( c_Type_Otypings(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_140]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_2704,plain,
% 153.84/154.03 ( c_Type_Otypings(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_2703]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_134,plain,
% 153.84/154.03 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2039_0) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_2695,plain,
% 153.84/154.03 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_134]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_2696,plain,
% 153.84/154.03 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_2695]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_127,plain,
% 153.84/154.03 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2062_0) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_2686,plain,
% 153.84/154.03 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_127]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_2687,plain,
% 153.84/154.03 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_2686]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_126,plain,
% 153.84/154.03 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2063_0) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_2684,plain,
% 153.84/154.03 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_126]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_2685,plain,
% 153.84/154.03 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_2684]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_101,plain,
% 153.84/154.03 ( c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2137_0) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_2657,plain,
% 153.84/154.03 ( c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_101]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_2658,plain,
% 153.84/154.03 ( c_Type_Otypings(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_2657]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_100,plain,
% 153.84/154.03 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2138_0) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_2655,plain,
% 153.84/154.03 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_100]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_2656,plain,
% 153.84/154.03 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_2655]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1085,plain,
% 153.84/154.03 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2023_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4593,plain,
% 153.84/154.03 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1085]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4594,plain,
% 153.84/154.03 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 153.84/154.03 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4593]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1079,plain,
% 153.84/154.03 ( c_ListOrder_Ostep1(c_Lambda_Obeta,X0,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X0,X2),tc_Lambda_OdB)
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X0,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2025_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4581,plain,
% 153.84/154.03 ( c_ListOrder_Ostep1(c_Lambda_Obeta,X0,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X0,X2),tc_Lambda_OdB)
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X0,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1079]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4582,plain,
% 153.84/154.03 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 153.84/154.03 | c_ListOrder_Ostep1(c_Lambda_Obeta,X1,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X0,X1,X2),tc_Lambda_OdB) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4581]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1077,plain,
% 153.84/154.03 ( hBOOL(hAPP(hAPP(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,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.84/154.03 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X1,X2,tc_Lambda_OdB) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2026_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4577,plain,
% 153.84/154.03 ( hBOOL(hAPP(hAPP(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,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.84/154.03 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X1,X2,tc_Lambda_OdB) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1077]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1075,plain,
% 153.84/154.03 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2027_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4573,plain,
% 153.84/154.03 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1075]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1067,plain,
% 153.84/154.03 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.84/154.03 | X4 = X3
% 153.84/154.03 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2031_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4557,plain,
% 153.84/154.03 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.84/154.03 | X4 = X3
% 153.84/154.03 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1067]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4558,plain,
% 153.84/154.03 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.84/154.03 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.84/154.03 | X4 = X3 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4557]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1064,plain,
% 153.84/154.03 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.84/154.03 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2033_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4551,plain,
% 153.84/154.03 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.84/154.03 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1064]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1062,plain,
% 153.84/154.03 ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.84/154.03 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2034_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4547,plain,
% 153.84/154.03 ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.84/154.03 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1062]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4548,plain,
% 153.84/154.03 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.84/154.03 | c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2),X3,tc_Type_Otype,tc_Type_Otype)) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4547]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1060,plain,
% 153.84/154.03 ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.84/154.03 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2035_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4543,plain,
% 153.84/154.03 ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.84/154.03 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1060]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4544,plain,
% 153.84/154.03 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.84/154.03 | c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2),X3,tc_Type_Otype,tc_Type_Otype)) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4543]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1057,plain,
% 153.84/154.03 ( c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.84/154.03 | ~ c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X4,X3,tc_Type_Otype,tc_Type_Otype))
% 153.84/154.03 | ~ c_Type_Otypings(X0,X2,X4) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2037_2) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4537,plain,
% 153.84/154.03 ( c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.84/154.03 | ~ c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X4,X3,tc_Type_Otype,tc_Type_Otype))
% 153.84/154.03 | ~ c_Type_Otypings(X0,X2,X4) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1057]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1055,plain,
% 153.84/154.03 ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X7,X8,X3,X9),X10)
% 153.84/154.03 | hAPP(X0,hAPP(X1,X5)) != hAPP(X6,hAPP(X7,X10)) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2041_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4533,plain,
% 153.84/154.03 ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X7,X8,X3,X9),X10)
% 153.84/154.03 | hAPP(X0,hAPP(X1,X5)) != hAPP(X6,hAPP(X7,X10)) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1055]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1053,plain,
% 153.84/154.03 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.84/154.03 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2042_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4529,plain,
% 153.84/154.03 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.84/154.03 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1053]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1051,plain,
% 153.84/154.03 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 153.84/154.03 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2046_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4525,plain,
% 153.84/154.03 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 153.84/154.03 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1051]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4526,plain,
% 153.84/154.03 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.84/154.03 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X0,X1,X2)) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4525]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1049,plain,
% 153.84/154.03 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 153.84/154.03 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2047_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4521,plain,
% 153.84/154.03 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 153.84/154.03 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1049]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4522,plain,
% 153.84/154.03 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.84/154.03 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2)) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4521]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1047,plain,
% 153.84/154.03 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 153.84/154.03 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2048_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4517,plain,
% 153.84/154.03 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 153.84/154.03 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1047]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4518,plain,
% 153.84/154.03 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.84/154.03 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2)) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4517]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1045,plain,
% 153.84/154.03 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,hAPP(X4,X2))
% 153.84/154.03 | c_Fun_Ocomp(X0,X1,X5,X6,X7) != c_Fun_Ocomp(X3,X4,X8,X6,X7) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2049_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4513,plain,
% 153.84/154.03 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,hAPP(X4,X2))
% 153.84/154.03 | c_Fun_Ocomp(X0,X1,X5,X6,X7) != c_Fun_Ocomp(X3,X4,X8,X6,X7) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1045]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1043,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2050_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4509,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1043]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4510,plain,
% 153.84/154.03 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.84/154.03 | X1 = X3 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4509]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1041,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2051_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4505,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1041]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4506,plain,
% 153.84/154.03 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.84/154.03 | X0 = X2 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4505]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1039,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2052_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4501,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1039]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4502,plain,
% 153.84/154.03 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.84/154.03 | X1 = X3 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4501]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1037,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2053_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4497,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1037]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4498,plain,
% 153.84/154.03 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.84/154.03 | X0 = X2 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4497]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1035,plain,
% 153.84/154.03 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0))
% 153.84/154.03 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2054_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4493,plain,
% 153.84/154.03 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0))
% 153.84/154.03 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1035]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4494,plain,
% 153.84/154.03 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 153.84/154.03 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0)) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4493]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1033,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2056_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4489,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1033]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4490,plain,
% 153.84/154.03 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.84/154.03 | X0 = X2 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4489]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1031,plain,
% 153.84/154.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,c_HOL_Ozero__class_Ozero(X0),X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 153.84/154.03 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2058_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4485,plain,
% 153.84/154.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,c_HOL_Ozero__class_Ozero(X0),X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 153.84/154.03 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1031]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4486,plain,
% 153.84/154.03 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.84/154.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,c_HOL_Ozero__class_Ozero(X0),X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4485]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1029,plain,
% 153.84/154.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 153.84/154.03 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2059_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4481,plain,
% 153.84/154.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 153.84/154.03 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1029]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4482,plain,
% 153.84/154.03 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.84/154.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4481]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1027,plain,
% 153.84/154.03 ( c_Type_Otypings(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.84/154.03 | ~ c_Type_Otypings(X0,X3,X4) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2061_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4477,plain,
% 153.84/154.03 ( c_Type_Otypings(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.84/154.03 | ~ c_Type_Otypings(X0,X3,X4) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1027]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1025,plain,
% 153.84/154.03 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 153.84/154.03 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2066_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4473,plain,
% 153.84/154.03 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 153.84/154.03 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1025]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1023,plain,
% 153.84/154.03 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0)
% 153.84/154.03 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2070_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4469,plain,
% 153.84/154.03 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0)
% 153.84/154.03 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1023]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4470,plain,
% 153.84/154.03 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.84/154.03 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4469]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1021,plain,
% 153.84/154.03 ( c_List_Ofoldr(X0,X1,X2,X3,X3) = c_List_Ofoldl(X0,X2,X1,X3,X3)
% 153.84/154.03 | ~ c_OrderedGroup_Oab__semigroup__add(X0,X3) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2071_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4465,plain,
% 153.84/154.03 ( c_List_Ofoldr(X0,X1,X2,X3,X3) = c_List_Ofoldl(X0,X2,X1,X3,X3)
% 153.84/154.03 | ~ c_OrderedGroup_Oab__semigroup__add(X0,X3) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1021]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4466,plain,
% 153.84/154.03 ( ~ c_OrderedGroup_Oab__semigroup__add(X0,X1)
% 153.84/154.03 | c_List_Ofoldr(X0,X2,X3,X1,X1) = c_List_Ofoldl(X0,X3,X2,X1,X1) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4465]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1019,plain,
% 153.84/154.03 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X1,X0,X0)
% 153.84/154.03 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2072_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4461,plain,
% 153.84/154.03 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X1,X0,X0)
% 153.84/154.03 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1019]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4462,plain,
% 153.84/154.03 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 153.84/154.03 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X1,X0,X0) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4461]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1017,plain,
% 153.84/154.03 ( c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X1,X3)),X2))
% 153.84/154.03 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2074_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4457,plain,
% 153.84/154.03 ( c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X1,X3)),X2))
% 153.84/154.03 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1017]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4458,plain,
% 153.84/154.03 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 153.84/154.03 | c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)),X3)) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4457]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1013,plain,
% 153.84/154.03 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 153.84/154.03 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X4,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3),t_a))) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2076_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4449,plain,
% 153.84/154.03 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 153.84/154.03 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X4,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3),t_a))) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1013]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1011,plain,
% 153.84/154.03 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 153.84/154.03 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2078_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4445,plain,
% 153.84/154.03 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 153.84/154.03 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1011]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4446,plain,
% 153.84/154.03 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
% 153.84/154.03 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4445]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1009,plain,
% 153.84/154.03 ( c_Lambda_OdB_OVar(X0) = X1
% 153.84/154.03 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2080_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4441,plain,
% 153.84/154.03 ( c_Lambda_OdB_OVar(X0) = X1
% 153.84/154.03 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1009]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4442,plain,
% 153.84/154.03 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.84/154.03 | c_Lambda_OdB_OVar(X0) = X1 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4441]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1007,plain,
% 153.84/154.03 ( c_Lambda_OdB_OAbs(X0) = X1
% 153.84/154.03 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2081_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4437,plain,
% 153.84/154.03 ( c_Lambda_OdB_OAbs(X0) = X1
% 153.84/154.03 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1007]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4438,plain,
% 153.84/154.03 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.84/154.03 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4437]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1005,plain,
% 153.84/154.03 ( X0 = c_Lambda_OdB_OAbs(X1)
% 153.84/154.03 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2082_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4433,plain,
% 153.84/154.03 ( X0 = c_Lambda_OdB_OAbs(X1)
% 153.84/154.03 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1005]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4434,plain,
% 153.84/154.03 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 153.84/154.03 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4433]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1003,plain,
% 153.84/154.03 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.84/154.03 | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2083_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4429,plain,
% 153.84/154.03 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.84/154.03 | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1003]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4430,plain,
% 153.84/154.03 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.84/154.03 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4429]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_1001,plain,
% 153.84/154.03 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.84/154.03 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2084_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4425,plain,
% 153.84/154.03 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.84/154.03 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_1001]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4426,plain,
% 153.84/154.03 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 153.84/154.03 | X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4425]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_999,plain,
% 153.84/154.03 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.84/154.03 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2085_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4421,plain,
% 153.84/154.03 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.84/154.03 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_999]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4422,plain,
% 153.84/154.03 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.84/154.03 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4421]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_993,plain,
% 153.84/154.03 ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 153.84/154.03 | X1 = X2
% 153.84/154.03 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2087_2) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4409,plain,
% 153.84/154.03 ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 153.84/154.03 | X1 = X2
% 153.84/154.03 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_993]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4410,plain,
% 153.84/154.03 ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 153.84/154.03 | c_ListOrder_Ostep1(X0,X1,X4,X3)
% 153.84/154.03 | X1 = X4 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4409]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_989,plain,
% 153.84/154.03 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 153.84/154.03 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X3,c_Type_Otype_OAtom(X2),t_a))) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2089_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4401,plain,
% 153.84/154.03 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 153.84/154.03 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X3,c_Type_Otype_OAtom(X2),t_a))) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_989]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_985,plain,
% 153.84/154.03 ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 153.84/154.03 | X1 = X4
% 153.84/154.03 | X2 = X5 ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2092_0) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4393,plain,
% 153.84/154.03 ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 153.84/154.03 | X1 = X4
% 153.84/154.03 | X2 = X5 ),
% 153.84/154.03 inference(copy,[status(esa)],[c_985]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_983,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | X2 = X3
% 153.84/154.03 | ~ c_ListOrder_Ostep1(X4,c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X5),X5),X5),c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X5),X5),X5),X5) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2092_2) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4389,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | X2 = X3
% 153.84/154.03 | ~ c_ListOrder_Ostep1(X4,c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X5),X5),X5),c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X5),X5),X5),X5) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_983]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4390,plain,
% 153.84/154.03 ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 153.84/154.03 | X2 = X5
% 153.84/154.03 | X1 = X4 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4389]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_969,plain,
% 153.84/154.03 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2)))
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X3)) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2097_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4361,plain,
% 153.84/154.03 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2)))
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X3)) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_969]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_961,plain,
% 153.84/154.03 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
% 153.84/154.03 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2107_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4345,plain,
% 153.84/154.03 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
% 153.84/154.03 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_961]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4346,plain,
% 153.84/154.03 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 153.84/154.03 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),hAPP(hAPP(c_Type_Otype_OFun,X1),X3)) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4345]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_958,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | c_ListOrder_Ostep1(X2,X1,X0,X3)
% 153.84/154.03 | ~ c_ListOrder_Ostep1(X2,c_List_Olist_OCons(X4,X1,X3),c_List_Olist_OCons(X5,X0,X3),X3) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2108_2) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4339,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | c_ListOrder_Ostep1(X2,X1,X0,X3)
% 153.84/154.03 | ~ c_ListOrder_Ostep1(X2,c_List_Olist_OCons(X4,X1,X3),c_List_Olist_OCons(X5,X0,X3),X3) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_958]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4340,plain,
% 153.84/154.03 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 153.84/154.03 | c_ListOrder_Ostep1(X0,X2,X5,X3)
% 153.84/154.03 | X5 = X2 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4339]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_956,plain,
% 153.84/154.03 ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X4,X2,X3),X3)
% 153.84/154.03 | ~ c_ListOrder_Ostep1(X0,X1,X4,X3) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2113_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4335,plain,
% 153.84/154.03 ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X4,X2,X3),X3)
% 153.84/154.03 | ~ c_ListOrder_Ostep1(X0,X1,X4,X3) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_956]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_954,plain,
% 153.84/154.03 ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X1,X4,X3),X3)
% 153.84/154.03 | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2114_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4331,plain,
% 153.84/154.03 ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X1,X4,X3),X3)
% 153.84/154.03 | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_954]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_952,plain,
% 153.84/154.03 ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),X3)
% 153.84/154.03 | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2115_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4327,plain,
% 153.84/154.03 ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),X3)
% 153.84/154.03 | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_952]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_947,plain,
% 153.84/154.03 ( c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1))
% 153.84/154.03 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2119_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4317,plain,
% 153.84/154.03 ( c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1))
% 153.84/154.03 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_947]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4318,plain,
% 153.84/154.03 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 153.84/154.03 | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4317]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_946,plain,
% 153.84/154.03 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 153.84/154.03 | X4 = X1
% 153.84/154.03 | X5 = X2 ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2120_0) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4315,plain,
% 153.84/154.03 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 153.84/154.03 | X4 = X1
% 153.84/154.03 | X5 = X2 ),
% 153.84/154.03 inference(copy,[status(esa)],[c_946]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_944,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | X2 = X3
% 153.84/154.03 | ~ c_ListOrder_Ostep1(X4,c_List_Olist_OCons(X3,X1,X5),c_List_Olist_OCons(X2,X0,X5),X5) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2120_2) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4311,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | X2 = X3
% 153.84/154.03 | ~ c_ListOrder_Ostep1(X4,c_List_Olist_OCons(X3,X1,X5),c_List_Olist_OCons(X2,X0,X5),X5) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_944]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4312,plain,
% 153.84/154.03 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 153.84/154.03 | X5 = X2
% 153.84/154.03 | X4 = X1 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4311]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_942,plain,
% 153.84/154.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 153.84/154.03 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2121_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4307,plain,
% 153.84/154.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 153.84/154.03 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_942]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4308,plain,
% 153.84/154.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.84/154.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4307]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_940,plain,
% 153.84/154.03 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 153.84/154.03 | ~ c_Type_Otyping(X0,X3,X4) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2122_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4303,plain,
% 153.84/154.03 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 153.84/154.03 | ~ c_Type_Otyping(X0,X3,X4) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_940]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_938,plain,
% 153.84/154.03 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)))
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2123_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4299,plain,
% 153.84/154.03 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)))
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_938]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_936,plain,
% 153.84/154.03 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)))
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2124_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4295,plain,
% 153.84/154.03 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)))
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_936]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_934,plain,
% 153.84/154.03 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2)))
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2125_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4291,plain,
% 153.84/154.03 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2)))
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_934]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_930,plain,
% 153.84/154.03 ( c_lessequals(X0,X1,X2)
% 153.84/154.03 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 153.84/154.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.84/154.03 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2126_3) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4283,plain,
% 153.84/154.03 ( c_lessequals(X0,X1,X2)
% 153.84/154.03 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 153.84/154.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.84/154.03 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_930]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4284,plain,
% 153.84/154.03 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.03 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 153.84/154.03 | c_lessequals(X2,X1,X0) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4283]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_928,plain,
% 153.84/154.03 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 153.84/154.03 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2127_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4279,plain,
% 153.84/154.03 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 153.84/154.03 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_928]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4280,plain,
% 153.84/154.03 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.03 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4279]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_926,plain,
% 153.84/154.03 ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X2,X3),X3)
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2129_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4275,plain,
% 153.84/154.03 ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X2,X3),X3)
% 153.84/154.03 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_926]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4276,plain,
% 153.84/154.03 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.84/154.03 | c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X3,X4),X4) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4275]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_907,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | 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) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2134_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4237,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | 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) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_907]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4238,plain,
% 153.84/154.03 ( 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)
% 153.84/154.03 | X1 = X4 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4237]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_905,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | 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) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2135_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4233,plain,
% 153.84/154.03 ( X0 = X1
% 153.84/154.03 | 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) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_905]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4234,plain,
% 153.84/154.03 ( 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)
% 153.84/154.03 | X0 = X3 ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4233]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_900,plain,
% 153.84/154.03 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.84/154.03 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.84/154.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.84/154.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.84/154.03 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2136_4) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4223,plain,
% 153.84/154.03 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.84/154.03 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.84/154.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.84/154.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.84/154.03 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_900]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4224,plain,
% 153.84/154.03 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.84/154.03 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0)
% 153.84/154.03 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.84/154.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4223]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_898,plain,
% 153.84/154.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 153.84/154.03 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.84/154.03 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2139_1) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4219,plain,
% 153.84/154.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 153.84/154.03 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.84/154.03 inference(copy,[status(esa)],[c_898]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_4220,plain,
% 153.84/154.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.84/154.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 153.84/154.03 inference(rewriting,[status(thm)],[c_4219]) ).
% 153.84/154.03
% 153.84/154.03 cnf(c_894,plain,
% 153.84/154.03 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.84/154.03 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 153.84/154.04 | ~ c_lessequals(X4,X3,X1)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2141_3) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4211,plain,
% 153.84/154.04 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.84/154.04 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 153.84/154.04 | ~ c_lessequals(X4,X3,X1)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_894]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_891,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2144_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4205,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_891]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4206,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4205]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_888,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2145_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4199,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_888]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4200,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4199]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_885,plain,
% 153.84/154.04 ( c_lessequals(X0,X1,X2)
% 153.84/154.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2146_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4193,plain,
% 153.84/154.04 ( c_lessequals(X0,X1,X2)
% 153.84/154.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_885]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4194,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.84/154.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.84/154.04 | c_lessequals(X1,X3,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4193]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_882,plain,
% 153.84/154.04 ( c_lessequals(X0,X1,X2)
% 153.84/154.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2147_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4187,plain,
% 153.84/154.04 ( c_lessequals(X0,X1,X2)
% 153.84/154.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_882]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4188,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.84/154.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.04 | c_lessequals(X2,X3,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4187]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_874,plain,
% 153.84/154.04 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 153.84/154.04 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2150_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4171,plain,
% 153.84/154.04 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 153.84/154.04 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_874]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_870,plain,
% 153.84/154.04 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.84/154.04 | ~ c_lessequals(X0,X3,X2)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2151_3) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4163,plain,
% 153.84/154.04 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.84/154.04 | ~ c_lessequals(X0,X3,X2)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_870]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4164,plain,
% 153.84/154.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 153.84/154.04 | ~ c_lessequals(X1,X3,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4163]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_862,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2153_3) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4147,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_862]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4148,plain,
% 153.84/154.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4147]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_858,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2154_3) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4139,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_858]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4140,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4139]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_854,plain,
% 153.84/154.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.84/154.04 | ~ c_lessequals(X1,X3,X0)
% 153.84/154.04 | ~ c_lessequals(X2,X4,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2155_3) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4131,plain,
% 153.84/154.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.84/154.04 | ~ c_lessequals(X1,X3,X0)
% 153.84/154.04 | ~ c_lessequals(X2,X4,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_854]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4132,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 153.84/154.04 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.84/154.04 | ~ c_lessequals(X1,X3,X0)
% 153.84/154.04 | ~ c_lessequals(X2,X4,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4131]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_846,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.04 | ~ c_lessequals(X2,X4,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2157_3) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4115,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.04 | ~ c_lessequals(X2,X4,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_846]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4116,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.04 | ~ c_lessequals(X2,X4,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4115]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_844,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2159_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4111,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_844]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4112,plain,
% 153.84/154.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 153.84/154.04 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4111]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_838,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.84/154.04 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2162_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4099,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.84/154.04 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_838]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4100,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 153.84/154.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4099]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_836,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.84/154.04 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2163_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4095,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.84/154.04 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_836]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4096,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.84/154.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4095]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_834,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.84/154.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2164_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4091,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.84/154.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_834]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4092,plain,
% 153.84/154.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.84/154.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4091]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_831,plain,
% 153.84/154.04 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 153.84/154.04 | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 153.84/154.04 | ~ c_Type_Otyping(X0,X2,X4) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2165_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4085,plain,
% 153.84/154.04 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 153.84/154.04 | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 153.84/154.04 | ~ c_Type_Otyping(X0,X2,X4) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_831]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_828,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2166_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4079,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_828]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_824,plain,
% 153.84/154.04 ( X0 = c_List_Olist_ONil(X1)
% 153.84/154.04 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2168_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4071,plain,
% 153.84/154.04 ( X0 = c_List_Olist_ONil(X1)
% 153.84/154.04 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_824]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4072,plain,
% 153.84/154.04 ( c_List_Omap(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 153.84/154.04 | X1 = c_List_Olist_ONil(X2) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4071]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_816,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 153.84/154.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 153.84/154.04 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2173_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4055,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 153.84/154.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 153.84/154.04 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_816]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4056,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.84/154.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)
% 153.84/154.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4055]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_808,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2178_3) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4039,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_808]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4040,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4039]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_804,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2179_3) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4031,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_804]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4032,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4031]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_800,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2180_3) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4023,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_800]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4024,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_4023]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_788,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2183_3) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3999,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_788]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_4000,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3999]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_784,plain,
% 153.84/154.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2184_3) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3991,plain,
% 153.84/154.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_784]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3992,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.04 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3991]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_780,plain,
% 153.84/154.04 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2185_3) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3983,plain,
% 153.84/154.04 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_780]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3984,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.04 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3983]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_776,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2186_3) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3975,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_776]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3976,plain,
% 153.84/154.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.84/154.04 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3975]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_753,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2192_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3929,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_753]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3930,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3929]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_750,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2193_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3923,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_750]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3924,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3923]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_747,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2194_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3917,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_747]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3918,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3917]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_744,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2195_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3911,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_744]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3912,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3911]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_741,plain,
% 153.84/154.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.84/154.04 | ~ c_lessequals(X1,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2196_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3905,plain,
% 153.84/154.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.84/154.04 | ~ c_lessequals(X1,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_741]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3906,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.84/154.04 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.84/154.04 | ~ c_lessequals(X1,X3,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3905]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_738,plain,
% 153.84/154.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.04 | ~ c_lessequals(X2,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2197_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3899,plain,
% 153.84/154.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.04 | ~ c_lessequals(X2,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_738]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3900,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.84/154.04 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.04 | ~ c_lessequals(X2,X3,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3899]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_735,plain,
% 153.84/154.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.84/154.04 | ~ c_lessequals(X1,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2198_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3893,plain,
% 153.84/154.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.84/154.04 | ~ c_lessequals(X1,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_735]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3894,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 153.84/154.04 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.84/154.04 | ~ c_lessequals(X1,X3,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3893]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_732,plain,
% 153.84/154.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.04 | ~ c_lessequals(X2,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2199_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3887,plain,
% 153.84/154.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.04 | ~ c_lessequals(X2,X3,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_732]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3888,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 153.84/154.04 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.84/154.04 | ~ c_lessequals(X2,X3,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3887]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_727,plain,
% 153.84/154.04 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.84/154.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.84/154.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2201_0) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3877,plain,
% 153.84/154.04 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.84/154.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.84/154.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_727]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_725,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.84/154.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2201_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3873,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.84/154.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_725]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3874,plain,
% 153.84/154.04 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.84/154.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.84/154.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3873]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_723,plain,
% 153.84/154.04 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 153.84/154.04 | ~ c_OrderedGroup_Oab__semigroup__add(X0,X4) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2202_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3869,plain,
% 153.84/154.04 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 153.84/154.04 | ~ c_OrderedGroup_Oab__semigroup__add(X0,X4) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_723]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3870,plain,
% 153.84/154.04 ( ~ c_OrderedGroup_Oab__semigroup__add(X0,X1)
% 153.84/154.04 | hAPP(hAPP(X0,hAPP(hAPP(X0,X2),X3)),X4) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X3),X4)) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3869]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_720,plain,
% 153.84/154.04 ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 153.84/154.04 | ~ c_List_Olistsp(X0,X1,X3)
% 153.84/154.04 | ~ c_List_Olistsp(X0,X2,X3) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2203_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3863,plain,
% 153.84/154.04 ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 153.84/154.04 | ~ c_List_Olistsp(X0,X1,X3)
% 153.84/154.04 | ~ c_List_Olistsp(X0,X2,X3) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_720]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_703,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2218_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3829,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_703]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_701,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2219_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3825,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_701]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_699,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.84/154.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2220_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3821,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.84/154.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_699]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3822,plain,
% 153.84/154.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.84/154.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3821]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_697,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.84/154.04 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2221_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3817,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.84/154.04 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_697]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3818,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.84/154.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3817]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_695,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.84/154.04 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2222_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3813,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.84/154.04 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_695]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3814,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.84/154.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3813]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_693,plain,
% 153.84/154.04 ( c_List_Olistsp(X0,X1,X2)
% 153.84/154.04 | ~ c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2224_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3809,plain,
% 153.84/154.04 ( c_List_Olistsp(X0,X1,X2)
% 153.84/154.04 | ~ c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_693]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3810,plain,
% 153.84/154.04 ( ~ c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 153.84/154.04 | c_List_Olistsp(X0,X2,X3) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3809]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_691,plain,
% 153.84/154.04 ( c_List_Olistsp(X0,X1,X2)
% 153.84/154.04 | ~ c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2225_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3805,plain,
% 153.84/154.04 ( c_List_Olistsp(X0,X1,X2)
% 153.84/154.04 | ~ c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_691]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3806,plain,
% 153.84/154.04 ( ~ c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 153.84/154.04 | c_List_Olistsp(X0,X1,X3) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3805]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_689,plain,
% 153.84/154.04 ( X0 = c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
% 153.84/154.04 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2226_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3801,plain,
% 153.84/154.04 ( X0 = c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
% 153.84/154.04 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_689]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3802,plain,
% 153.84/154.04 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 153.84/154.04 | X0 = c_List_Oappend(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),X1) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3801]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_675,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2229_3) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3773,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_675]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3774,plain,
% 153.84/154.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3773]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_672,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2230_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3767,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_672]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3768,plain,
% 153.84/154.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3767]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_669,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 153.84/154.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2231_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3761,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 153.84/154.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_669]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_667,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2232_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3757,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_667]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3758,plain,
% 153.84/154.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 153.84/154.04 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3757]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_660,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2235_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3743,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_660]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3744,plain,
% 153.84/154.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3743]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_657,plain,
% 153.84/154.04 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2236_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3737,plain,
% 153.84/154.04 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_657]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3738,plain,
% 153.84/154.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.04 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3737]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_654,plain,
% 153.84/154.04 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2237_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3731,plain,
% 153.84/154.04 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_654]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3732,plain,
% 153.84/154.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.04 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3731]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_651,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2240_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3725,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_651]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_648,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2241_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3719,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_648]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_645,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2242_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3713,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_645]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_642,plain,
% 153.84/154.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2243_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3707,plain,
% 153.84/154.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.04 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_642]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_639,plain,
% 153.84/154.04 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2244_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3701,plain,
% 153.84/154.04 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.84/154.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.84/154.04 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_639]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_636,plain,
% 153.84/154.04 ( c_Type_Otyping(X0,X1,X2)
% 153.84/154.04 | ~ c_Type_Otyping(X0,X3,X2)
% 153.84/154.04 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X3),X1)) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2245_2) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3695,plain,
% 153.84/154.04 ( c_Type_Otyping(X0,X1,X2)
% 153.84/154.04 | ~ c_Type_Otyping(X0,X3,X2)
% 153.84/154.04 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X3),X1)) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_636]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3696,plain,
% 153.84/154.04 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 153.84/154.04 | c_Type_Otyping(X2,X1,X3)
% 153.84/154.04 | ~ c_Type_Otyping(X2,X0,X3) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3695]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_634,plain,
% 153.84/154.04 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 153.84/154.04 | ~ c_OrderedGroup_Oab__semigroup__add(X0,X4) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2246_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3691,plain,
% 153.84/154.04 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 153.84/154.04 | ~ c_OrderedGroup_Oab__semigroup__add(X0,X4) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_634]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3692,plain,
% 153.84/154.04 ( ~ c_OrderedGroup_Oab__semigroup__add(X0,X1)
% 153.84/154.04 | hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X3),hAPP(hAPP(X0,X2),X4)) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3691]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_632,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 153.84/154.04 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2249_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3687,plain,
% 153.84/154.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 153.84/154.04 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_632]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3688,plain,
% 153.84/154.04 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 153.84/154.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0) ),
% 153.84/154.04 inference(rewriting,[status(thm)],[c_3687]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_630,plain,
% 153.84/154.04 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 153.84/154.04 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2253_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3683,plain,
% 153.84/154.04 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 153.84/154.04 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_630]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_628,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2254_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3679,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_628]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_626,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2255_1) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3675,plain,
% 153.84/154.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_626]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_625,plain,
% 153.84/154.04 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2256_0) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_3673,plain,
% 153.84/154.04 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.84/154.04 inference(copy,[status(esa)],[c_625]) ).
% 153.84/154.04
% 153.84/154.04 cnf(c_624,plain,
% 153.84/154.04 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.04 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.84/154.04 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 153.84/154.04 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2256_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3671,plain,
% 153.84/154.05 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_624]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_622,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.84/154.05 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2256_3) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3667,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.84/154.05 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_622]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3668,plain,
% 153.84/154.05 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3667]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_621,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2257_0) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3665,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_621]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_620,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2257_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3663,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_620]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_618,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.84/154.05 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2257_3) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3659,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.84/154.05 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_618]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3660,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3659]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_617,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X2,X3,X0)
% 153.84/154.05 | c_lessequals(X1,X3,X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2258_0) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3657,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X2,X3,X0)
% 153.84/154.05 | c_lessequals(X1,X3,X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_617]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_616,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.05 | c_lessequals(X1,X3,X0)
% 153.84/154.05 | ~ c_lessequals(X2,X3,X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2258_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3655,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.05 | c_lessequals(X1,X3,X0)
% 153.84/154.05 | ~ c_lessequals(X2,X3,X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_616]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_614,plain,
% 153.84/154.05 ( c_lessequals(X0,X1,X2)
% 153.84/154.05 | ~ c_lessequals(X3,X1,X2)
% 153.84/154.05 | ~ c_lessequals(X0,X3,X2)
% 153.84/154.05 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2258_3) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3651,plain,
% 153.84/154.05 ( c_lessequals(X0,X1,X2)
% 153.84/154.05 | ~ c_lessequals(X3,X1,X2)
% 153.84/154.05 | ~ c_lessequals(X0,X3,X2)
% 153.84/154.05 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_614]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3652,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | c_lessequals(X1,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X3,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X1,X3,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3651]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_610,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.84/154.05 | ~ c_lessequals(X0,X3,X2)
% 153.84/154.05 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2259_3) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3643,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.84/154.05 | ~ c_lessequals(X0,X3,X2)
% 153.84/154.05 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_610]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3644,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X1,X3,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3643]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_608,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.05 | ~ c_lessequals(X2,X3,X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2260_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3639,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.05 | ~ c_lessequals(X2,X3,X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_608]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_605,plain,
% 153.84/154.05 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.05 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X3,X1,X0)
% 153.84/154.05 | c_lessequals(X3,X2,X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2261_0) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3633,plain,
% 153.84/154.05 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.05 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X3,X1,X0)
% 153.84/154.05 | c_lessequals(X3,X2,X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_605]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_604,plain,
% 153.84/154.05 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.05 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.05 | c_lessequals(X3,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X3,X1,X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2261_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3631,plain,
% 153.84/154.05 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.05 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.05 | c_lessequals(X3,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X3,X1,X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_604]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_602,plain,
% 153.84/154.05 ( c_lessequals(X0,X1,X2)
% 153.84/154.05 | ~ c_lessequals(X0,X3,X2)
% 153.84/154.05 | ~ c_lessequals(X3,X1,X2)
% 153.84/154.05 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2261_3) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3627,plain,
% 153.84/154.05 ( c_lessequals(X0,X1,X2)
% 153.84/154.05 | ~ c_lessequals(X0,X3,X2)
% 153.84/154.05 | ~ c_lessequals(X3,X1,X2)
% 153.84/154.05 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_602]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3628,plain,
% 153.84/154.05 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.05 | c_lessequals(X1,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X1,X3,X0)
% 153.84/154.05 | ~ c_lessequals(X3,X2,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3627]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_600,plain,
% 153.84/154.05 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X3,X1,X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2262_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3623,plain,
% 153.84/154.05 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X3,X1,X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_600]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_594,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.84/154.05 | ~ c_lessequals(X3,X1,X2)
% 153.84/154.05 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2263_3) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3611,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.84/154.05 | ~ c_lessequals(X3,X1,X2)
% 153.84/154.05 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_594]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3612,plain,
% 153.84/154.05 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.84/154.05 | ~ c_lessequals(X3,X2,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3611]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_592,plain,
% 153.84/154.05 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 153.84/154.05 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1)) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2264_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3607,plain,
% 153.84/154.05 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 153.84/154.05 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1)) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_592]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_589,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2265_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3601,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_589]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3602,plain,
% 153.84/154.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3601]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_586,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2266_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3595,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_586]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_580,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2270_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3583,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_580]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_578,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2271_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3579,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_578]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_576,plain,
% 153.84/154.05 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 153.84/154.05 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2276_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3575,plain,
% 153.84/154.05 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 153.84/154.05 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_576]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_574,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2277_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3571,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_574]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_572,plain,
% 153.84/154.05 ( 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)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2278_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3567,plain,
% 153.84/154.05 ( 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)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_572]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3568,plain,
% 153.84/154.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.05 | 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) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3567]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_565,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2280_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3553,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_565]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3554,plain,
% 153.84/154.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3553]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_563,plain,
% 153.84/154.05 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2281_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3549,plain,
% 153.84/154.05 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_563]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3550,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X2),X1) = c_Lambda_OdB_OVar(X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3549]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_560,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2282_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3543,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_560]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3544,plain,
% 153.84/154.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3543]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_558,plain,
% 153.84/154.05 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.84/154.05 | X2 = X1 ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2285_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3539,plain,
% 153.84/154.05 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.84/154.05 | X2 = X1 ),
% 153.84/154.05 inference(copy,[status(esa)],[c_558]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_553,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2286_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3529,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_553]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3530,plain,
% 153.84/154.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.84/154.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3529]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_541,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | ~ c_lessequals(X1,X0,X2)
% 153.84/154.05 | ~ c_lessequals(X0,X1,X2)
% 153.84/154.05 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2289_3) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3505,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | ~ c_lessequals(X1,X0,X2)
% 153.84/154.05 | ~ c_lessequals(X0,X1,X2)
% 153.84/154.05 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_541]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3506,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X2,X1,X0)
% 153.84/154.05 | X2 = X1 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3505]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_543,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.05 | X1 = X2
% 153.84/154.05 | ~ c_lessequals(X2,X1,X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2289_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3509,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.05 | X1 = X2
% 153.84/154.05 | ~ c_lessequals(X2,X1,X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_543]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3510,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_lessequals(X1,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X2,X1,X0)
% 153.84/154.05 | X1 = X2 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3509]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_537,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.84/154.05 | ~ class_Int_Onumber__ring(X2)
% 153.84/154.05 | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2290_3) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3497,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.84/154.05 | ~ class_Int_Onumber__ring(X2)
% 153.84/154.05 | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_537]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3498,plain,
% 153.84/154.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.84/154.05 | ~ class_Int_Onumber__ring(X0)
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.84/154.05 | X2 = X3 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3497]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_531,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.05 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2292_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3485,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.05 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_531]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3486,plain,
% 153.84/154.05 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3485]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_528,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.05 | ~ class_Orderings_Olinorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2293_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3479,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.05 | ~ class_Orderings_Olinorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_528]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3480,plain,
% 153.84/154.05 ( ~ class_Orderings_Olinorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3479]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_525,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.05 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2294_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3473,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.05 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_525]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3474,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3473]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_522,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_lessequals(X1,X0,X2)
% 153.84/154.05 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2295_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3467,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ c_lessequals(X1,X0,X2)
% 153.84/154.05 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_522]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3468,plain,
% 153.84/154.05 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X2,X1,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3467]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_516,plain,
% 153.84/154.05 ( ~ c_lessequals(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.05 | ~ class_Orderings_Olinorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2297_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3455,plain,
% 153.84/154.05 ( ~ c_lessequals(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.05 | ~ class_Orderings_Olinorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_516]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3456,plain,
% 153.84/154.05 ( ~ class_Orderings_Olinorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | ~ c_lessequals(X2,X1,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3455]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_511,plain,
% 153.84/154.05 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 153.84/154.05 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2299_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3445,plain,
% 153.84/154.05 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 153.84/154.05 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_511]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3446,plain,
% 153.84/154.05 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1)
% 153.84/154.05 | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3445]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_509,plain,
% 153.84/154.05 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 153.84/154.05 | c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X0,X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2300_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3441,plain,
% 153.84/154.05 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 153.84/154.05 | c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X0,X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_509]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3442,plain,
% 153.84/154.05 ( c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1) != c_List_Orev(X2,X1)
% 153.84/154.05 | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3441]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_507,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2301_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3437,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_507]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_505,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2302_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3433,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_505]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3434,plain,
% 153.84/154.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3433]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_503,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2303_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3429,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_503]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3430,plain,
% 153.84/154.05 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 153.84/154.05 | X1 = X4 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3429]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_501,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2304_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3425,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_501]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3426,plain,
% 153.84/154.05 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 153.84/154.05 | X0 = X3 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3425]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_499,plain,
% 153.84/154.05 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2305_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3421,plain,
% 153.84/154.05 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_499]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3422,plain,
% 153.84/154.05 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) | X1 = X3 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3421]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_497,plain,
% 153.84/154.05 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2306_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3417,plain,
% 153.84/154.05 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_497]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3418,plain,
% 153.84/154.05 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) | X0 = X3 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3417]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_494,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 153.84/154.05 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2307_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3411,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 153.84/154.05 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_494]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3412,plain,
% 153.84/154.05 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 153.84/154.05 | X1 = X3 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3411]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_491,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.84/154.05 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2308_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3405,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.84/154.05 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_491]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3406,plain,
% 153.84/154.05 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.84/154.05 | X2 = X3 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3405]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_488,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.84/154.05 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2309_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3399,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.84/154.05 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_488]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3400,plain,
% 153.84/154.05 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.84/154.05 | X2 = X3 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3399]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_486,plain,
% 153.84/154.05 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2310_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3395,plain,
% 153.84/154.05 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_486]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3396,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 153.84/154.05 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3395]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_481,plain,
% 153.84/154.05 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 153.84/154.05 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2312_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3385,plain,
% 153.84/154.05 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 153.84/154.05 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_481]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3386,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 153.84/154.05 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3385]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_479,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2314_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3381,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_479]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3382,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3381]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_443,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2325_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3309,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_443]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_437,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | X1 = X0
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2327_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3297,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | X1 = X0
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_437]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3298,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | X1 = X0 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3297]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_434,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | X0 = X1
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2328_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3291,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | X0 = X1
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_434]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3292,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | X0 = X1 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3291]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_429,plain,
% 153.84/154.05 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2330_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3281,plain,
% 153.84/154.05 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_429]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3282,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3281]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_426,plain,
% 153.84/154.05 ( c_lessequals(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2331_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3275,plain,
% 153.84/154.05 ( c_lessequals(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ class_Orderings_Oorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_426]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3276,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | c_lessequals(X1,X2,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3275]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_423,plain,
% 153.84/154.05 ( c_lessequals(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2332_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3269,plain,
% 153.84/154.05 ( c_lessequals(X0,X1,X2)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | ~ class_Orderings_Opreorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_423]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3270,plain,
% 153.84/154.05 ( ~ class_Orderings_Opreorder(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | c_lessequals(X1,X2,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3269]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_419,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2334_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3261,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_419]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3262,plain,
% 153.84/154.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 153.84/154.05 | X0 = X2 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3261]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_417,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2335_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3257,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_417]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3258,plain,
% 153.84/154.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 153.84/154.05 | X1 = X2 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3257]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_415,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2336_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3253,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_415]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3254,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3253]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_413,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2339_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3249,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_413]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3250,plain,
% 153.84/154.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3249]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_411,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2340_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3245,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_411]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_409,plain,
% 153.84/154.05 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2341_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3241,plain,
% 153.84/154.05 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_409]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3242,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3241]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_382,plain,
% 153.84/154.05 ( ~ class_Orderings_Olinorder(X0)
% 153.84/154.05 | X1 = X2
% 153.84/154.05 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2349_0) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3187,plain,
% 153.84/154.05 ( ~ class_Orderings_Olinorder(X0)
% 153.84/154.05 | X1 = X2
% 153.84/154.05 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_382]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3188,plain,
% 153.84/154.05 ( ~ class_Orderings_Olinorder(X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.84/154.05 | X2 = X1 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3187]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_379,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.05 | X0 = X1
% 153.84/154.05 | ~ class_Orderings_Olinorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2349_3) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3181,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.05 | X0 = X1
% 153.84/154.05 | ~ class_Orderings_Olinorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_379]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3182,plain,
% 153.84/154.05 ( ~ class_Orderings_Olinorder(X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.84/154.05 | X1 = X2 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3181]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_373,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2351_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3169,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_373]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3170,plain,
% 153.84/154.05 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 153.84/154.05 | X1 = X3 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3169]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_371,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2352_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3165,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_371]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3166,plain,
% 153.84/154.05 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 153.84/154.05 | X0 = X2 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3165]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_369,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_Type_Otype_OFun,X2),X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2353_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3161,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_Type_Otype_OFun,X2),X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_369]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3162,plain,
% 153.84/154.05 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 153.84/154.05 | X1 = X3 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3161]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_367,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_Type_Otype_OFun,X0),X2) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2354_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3157,plain,
% 153.84/154.05 ( X0 = X1
% 153.84/154.05 | hAPP(hAPP(c_Type_Otype_OFun,X0),X2) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_367]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3158,plain,
% 153.84/154.05 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 153.84/154.05 | X0 = X2 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3157]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_365,plain,
% 153.84/154.05 ( 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)
% 153.84/154.05 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2355_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3153,plain,
% 153.84/154.05 ( 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)
% 153.84/154.05 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_365]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3154,plain,
% 153.84/154.05 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 153.84/154.05 | 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) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3153]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_356,plain,
% 153.84/154.05 ( c_lessequals(X0,X0,X1)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 153.84/154.05 | ~ class_Orderings_Olinorder(X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2358_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3135,plain,
% 153.84/154.05 ( c_lessequals(X0,X0,X1)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 153.84/154.05 | ~ class_Orderings_Olinorder(X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_356]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3136,plain,
% 153.84/154.05 ( ~ class_Orderings_Olinorder(X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 153.84/154.05 | c_lessequals(X1,X1,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3135]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_353,plain,
% 153.84/154.05 ( c_lessequals(X0,X1,X2)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.05 | ~ class_Orderings_Olinorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2359_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3129,plain,
% 153.84/154.05 ( c_lessequals(X0,X1,X2)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.84/154.05 | ~ class_Orderings_Olinorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_353]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3130,plain,
% 153.84/154.05 ( ~ class_Orderings_Olinorder(X0)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.84/154.05 | c_lessequals(X2,X1,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3129]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_350,plain,
% 153.84/154.05 ( c_lessequals(X0,X1,X2)
% 153.84/154.05 | c_lessequals(X1,X0,X2)
% 153.84/154.05 | ~ class_Orderings_Olinorder(X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2360_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3123,plain,
% 153.84/154.05 ( c_lessequals(X0,X1,X2)
% 153.84/154.05 | c_lessequals(X1,X0,X2)
% 153.84/154.05 | ~ class_Orderings_Olinorder(X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_350]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3124,plain,
% 153.84/154.05 ( ~ class_Orderings_Olinorder(X0)
% 153.84/154.05 | c_lessequals(X1,X2,X0)
% 153.84/154.05 | c_lessequals(X2,X1,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3123]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_348,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2361_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3119,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_348]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3120,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3119]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_344,plain,
% 153.84/154.05 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2363_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3111,plain,
% 153.84/154.05 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_344]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3112,plain,
% 153.84/154.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.05 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3111]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_342,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2364_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3107,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_342]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3108,plain,
% 153.84/154.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3107]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_338,plain,
% 153.84/154.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.84/154.05 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2366_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3099,plain,
% 153.84/154.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.84/154.05 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_338]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3100,plain,
% 153.84/154.05 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3099]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_336,plain,
% 153.84/154.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.84/154.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2367_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3095,plain,
% 153.84/154.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.84/154.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_336]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3096,plain,
% 153.84/154.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3095]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_334,plain,
% 153.84/154.05 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2369_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3091,plain,
% 153.84/154.05 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_334]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3092,plain,
% 153.84/154.05 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3091]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_329,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | X1 = X0
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2372_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3081,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | X1 = X0
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_329]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3082,plain,
% 153.84/154.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.84/154.05 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.84/154.05 | X1 = X0 ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3081]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_326,plain,
% 153.84/154.05 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2373_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3075,plain,
% 153.84/154.05 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.05 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_326]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3076,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 153.84/154.05 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3075]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_323,plain,
% 153.84/154.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.05 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.05 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2374_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3069,plain,
% 153.84/154.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.05 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.05 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_323]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3070,plain,
% 153.84/154.05 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 153.84/154.05 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3069]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_319,plain,
% 153.84/154.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 153.84/154.05 | ~ class_Int_Onumber__ring(X1)
% 153.84/154.05 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2375_3) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3061,plain,
% 153.84/154.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 153.84/154.05 | ~ class_Int_Onumber__ring(X1)
% 153.84/154.05 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_319]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3062,plain,
% 153.84/154.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.84/154.05 | ~ class_Int_Onumber__ring(X0)
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 153.84/154.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3061]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_317,plain,
% 153.84/154.05 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 153.84/154.05 | ~ c_OrderedGroup_Oab__semigroup__add(X0,X3) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2376_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3057,plain,
% 153.84/154.05 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 153.84/154.05 | ~ c_OrderedGroup_Oab__semigroup__add(X0,X3) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_317]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3058,plain,
% 153.84/154.05 ( ~ c_OrderedGroup_Oab__semigroup__add(X0,X1)
% 153.84/154.05 | hAPP(hAPP(X0,X2),X3) = hAPP(hAPP(X0,X3),X2) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3057]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_314,plain,
% 153.84/154.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.05 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2377_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3051,plain,
% 153.84/154.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.05 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_314]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3052,plain,
% 153.84/154.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3051]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_310,plain,
% 153.84/154.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2379_0) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3043,plain,
% 153.84/154.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_310]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_308,plain,
% 153.84/154.05 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2379_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3039,plain,
% 153.84/154.05 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_308]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3040,plain,
% 153.84/154.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3039]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_302,plain,
% 153.84/154.05 ( X0 = c_List_Olist_ONil(X1)
% 153.84/154.05 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2382_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3027,plain,
% 153.84/154.05 ( X0 = c_List_Olist_ONil(X1)
% 153.84/154.05 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_302]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3028,plain,
% 153.84/154.05 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 153.84/154.05 | X1 = c_List_Olist_ONil(X2) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3027]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_300,plain,
% 153.84/154.05 ( X0 = c_List_Olist_ONil(X1)
% 153.84/154.05 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2383_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3023,plain,
% 153.84/154.05 ( X0 = c_List_Olist_ONil(X1)
% 153.84/154.05 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_300]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_3024,plain,
% 153.84/154.05 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 153.84/154.05 | X0 = c_List_Olist_ONil(X2) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_3023]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_285,plain,
% 153.84/154.05 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.05 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2387_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2993,plain,
% 153.84/154.05 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.05 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_285]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2994,plain,
% 153.84/154.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.05 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_2993]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_282,plain,
% 153.84/154.05 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2388_2) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2987,plain,
% 153.84/154.05 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_282]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2988,plain,
% 153.84/154.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.05 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_2987]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_278,plain,
% 153.84/154.05 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2390_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2979,plain,
% 153.84/154.05 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.84/154.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_278]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2980,plain,
% 153.84/154.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_2979]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_276,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2391_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2975,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_276]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2976,plain,
% 153.84/154.05 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_2975]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_274,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2392_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2971,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_274]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2972,plain,
% 153.84/154.05 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_2971]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_272,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2393_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2967,plain,
% 153.84/154.05 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.84/154.05 inference(copy,[status(esa)],[c_272]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2968,plain,
% 153.84/154.05 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_2967]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_268,plain,
% 153.84/154.05 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2396_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2959,plain,
% 153.84/154.05 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 153.84/154.05 inference(copy,[status(esa)],[c_268]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2960,plain,
% 153.84/154.05 ( c_List_Oappend(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil(X2) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_2959]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_264,plain,
% 153.84/154.05 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2398_1) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2951,plain,
% 153.84/154.05 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 153.84/154.05 inference(copy,[status(esa)],[c_264]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2952,plain,
% 153.84/154.05 ( c_List_Oappend(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil(X2) ),
% 153.84/154.05 inference(rewriting,[status(thm)],[c_2951]) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_260,plain,
% 153.84/154.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.05 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.05 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.05 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2404_0) ).
% 153.84/154.05
% 153.84/154.05 cnf(c_2943,plain,
% 153.84/154.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.06 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_260]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_258,plain,
% 153.84/154.06 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2404_2) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2939,plain,
% 153.84/154.06 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_258]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2940,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.84/154.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2939]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_256,plain,
% 153.84/154.06 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2407_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2935,plain,
% 153.84/154.06 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_256]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2936,plain,
% 153.84/154.06 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2935]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_253,plain,
% 153.84/154.06 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.06 | ~ class_Power_Opower(X0)
% 153.84/154.06 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2411_2) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2929,plain,
% 153.84/154.06 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.06 | ~ class_Power_Opower(X0)
% 153.84/154.06 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_253]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2930,plain,
% 153.84/154.06 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 153.84/154.06 | ~ class_Power_Opower(X0)
% 153.84/154.06 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2929]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_249,plain,
% 153.84/154.06 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.06 | ~ class_Power_Opower(X1)
% 153.84/154.06 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2414_3) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2921,plain,
% 153.84/154.06 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.84/154.06 | ~ class_Power_Opower(X1)
% 153.84/154.06 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_249]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2922,plain,
% 153.84/154.06 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 153.84/154.06 | ~ class_Power_Opower(X0)
% 153.84/154.06 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2921]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_247,plain,
% 153.84/154.06 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 153.84/154.06 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2415_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2917,plain,
% 153.84/154.06 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 153.84/154.06 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_247]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_244,plain,
% 153.84/154.06 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 153.84/154.06 | ~ class_Power_Opower(X0)
% 153.84/154.06 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2416_2) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2911,plain,
% 153.84/154.06 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 153.84/154.06 | ~ class_Power_Opower(X0)
% 153.84/154.06 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_244]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2912,plain,
% 153.84/154.06 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 153.84/154.06 | ~ class_Power_Opower(X0)
% 153.84/154.06 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2911]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_242,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.06 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2417_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2907,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.06 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_242]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2908,plain,
% 153.84/154.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2907]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_240,plain,
% 153.84/154.06 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2421_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2903,plain,
% 153.84/154.06 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_240]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2904,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2903]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_238,plain,
% 153.84/154.06 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2422_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2899,plain,
% 153.84/154.06 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_238]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2900,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2899]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_234,plain,
% 153.84/154.06 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2424_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2891,plain,
% 153.84/154.06 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 153.84/154.06 inference(copy,[status(esa)],[c_234]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2892,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 153.84/154.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2891]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_232,plain,
% 153.84/154.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 153.84/154.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2425_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2887,plain,
% 153.84/154.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 153.84/154.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_232]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2888,plain,
% 153.84/154.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2887]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_230,plain,
% 153.84/154.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 153.84/154.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2426_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2883,plain,
% 153.84/154.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 153.84/154.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_230]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2884,plain,
% 153.84/154.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.84/154.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2883]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_227,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.84/154.06 | ~ class_Int_Onumber__ring(X0)
% 153.84/154.06 | ~ class_Ring__and__Field_Oidom(X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2427_2) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2877,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.84/154.06 | ~ class_Int_Onumber__ring(X0)
% 153.84/154.06 | ~ class_Ring__and__Field_Oidom(X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_227]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2878,plain,
% 153.84/154.06 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.84/154.06 | ~ class_Int_Onumber__ring(X0)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2877]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_223,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.84/154.06 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2429_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2869,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.84/154.06 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_223]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2870,plain,
% 153.84/154.06 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2869]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_221,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.84/154.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2430_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2865,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.84/154.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_221]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2866,plain,
% 153.84/154.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2865]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_219,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.84/154.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2431_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2861,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.84/154.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_219]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2862,plain,
% 153.84/154.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2861]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_217,plain,
% 153.84/154.06 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 153.84/154.06 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2432_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2857,plain,
% 153.84/154.06 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 153.84/154.06 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_217]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2858,plain,
% 153.84/154.06 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 153.84/154.06 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2857]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_215,plain,
% 153.84/154.06 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 153.84/154.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2437_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2853,plain,
% 153.84/154.06 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 153.84/154.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_215]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2854,plain,
% 153.84/154.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.84/154.06 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2853]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_213,plain,
% 153.84/154.06 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 153.84/154.06 | ~ class_Power_Opower(X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2438_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2849,plain,
% 153.84/154.06 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 153.84/154.06 | ~ class_Power_Opower(X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_213]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2850,plain,
% 153.84/154.06 ( ~ class_Power_Opower(X0)
% 153.84/154.06 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2849]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_211,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.84/154.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2440_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2845,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.84/154.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_211]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2846,plain,
% 153.84/154.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2845]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_209,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.84/154.06 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2441_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2841,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.84/154.06 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_209]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2842,plain,
% 153.84/154.06 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2841]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_207,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.84/154.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2442_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2837,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.84/154.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_207]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2838,plain,
% 153.84/154.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.84/154.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2837]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_205,plain,
% 153.84/154.06 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2451_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2833,plain,
% 153.84/154.06 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_205]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2834,plain,
% 153.84/154.06 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2833]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_203,plain,
% 153.84/154.06 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2452_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2829,plain,
% 153.84/154.06 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_203]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2830,plain,
% 153.84/154.06 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2829]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_201,plain,
% 153.84/154.06 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2459_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2825,plain,
% 153.84/154.06 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.84/154.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_201]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2826,plain,
% 153.84/154.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.84/154.06 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2825]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_198,plain,
% 153.84/154.06 ( X0 = X1
% 153.84/154.06 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 153.84/154.06 | ~ class_Nat_Osemiring__char__0(X2) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2465_2) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2819,plain,
% 153.84/154.06 ( X0 = X1
% 153.84/154.06 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 153.84/154.06 | ~ class_Nat_Osemiring__char__0(X2) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_198]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2820,plain,
% 153.84/154.06 ( ~ class_Nat_Osemiring__char__0(X0)
% 153.84/154.06 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 153.84/154.06 | X1 = X2 ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2819]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_196,plain,
% 153.84/154.06 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2471_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2815,plain,
% 153.84/154.06 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_196]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2816,plain,
% 153.84/154.06 ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2815]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_194,plain,
% 153.84/154.06 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2476_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2811,plain,
% 153.84/154.06 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_194]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_192,plain,
% 153.84/154.06 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 153.84/154.06 | ~ class_Orderings_Opreorder(X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2477_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2807,plain,
% 153.84/154.06 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 153.84/154.06 | ~ class_Orderings_Opreorder(X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_192]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_188,plain,
% 153.84/154.06 ( X0 = c_List_Olist_ONil(X1)
% 153.84/154.06 | c_List_Orev(X0,X1) != c_List_Olist_ONil(X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2479_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2799,plain,
% 153.84/154.06 ( X0 = c_List_Olist_ONil(X1)
% 153.84/154.06 | c_List_Orev(X0,X1) != c_List_Olist_ONil(X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_188]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2800,plain,
% 153.84/154.06 ( c_List_Orev(X0,X1) != c_List_Olist_ONil(X1)
% 153.84/154.06 | X0 = c_List_Olist_ONil(X1) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2799]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_186,plain,
% 153.84/154.06 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.06 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2480_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2795,plain,
% 153.84/154.06 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.84/154.06 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_186]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2796,plain,
% 153.84/154.06 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 153.84/154.06 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2795]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_182,plain,
% 153.84/154.06 ( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0)
% 153.84/154.06 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2486_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2787,plain,
% 153.84/154.06 ( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0)
% 153.84/154.06 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_182]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2788,plain,
% 153.84/154.06 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.84/154.06 | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2787]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_180,plain,
% 153.84/154.06 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2487_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2783,plain,
% 153.84/154.06 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_180]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2784,plain,
% 153.84/154.06 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2783]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_178,plain,
% 153.84/154.06 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2488_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2779,plain,
% 153.84/154.06 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_178]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2780,plain,
% 153.84/154.06 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2779]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_174,plain,
% 153.84/154.06 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2490_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2771,plain,
% 153.84/154.06 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_174]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2772,plain,
% 153.84/154.06 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2771]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_172,plain,
% 153.84/154.06 ( X0 = X1 | c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2491_1) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2767,plain,
% 153.84/154.06 ( X0 = X1 | c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_172]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2768,plain,
% 153.84/154.06 ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) | X0 = X1 ),
% 153.84/154.06 inference(rewriting,[status(thm)],[c_2767]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_171,plain,
% 153.84/154.06 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2055_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2765,plain,
% 153.84/154.06 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_171]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_170,plain,
% 153.84/154.06 ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2079_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2763,plain,
% 153.84/154.06 ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_170]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_169,plain,
% 153.84/154.06 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_ONil(X1),X2,X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2169_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2761,plain,
% 153.84/154.06 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_ONil(X1),X2,X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_169]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_168,plain,
% 153.84/154.06 ( ~ c_ListOrder_Ostep1(X0,X1,c_List_Olist_ONil(X2),X2) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2170_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2759,plain,
% 153.84/154.06 ( ~ c_ListOrder_Ostep1(X0,X1,c_List_Olist_ONil(X2),X2) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_168]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_167,plain,
% 153.84/154.06 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2272_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2757,plain,
% 153.84/154.06 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_167]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_166,plain,
% 153.84/154.06 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2273_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2755,plain,
% 153.84/154.06 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_166]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_165,plain,
% 153.84/154.06 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X0)),X1)) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2313_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2753,plain,
% 153.84/154.06 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X0)),X1)) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_165]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_164,plain,
% 153.84/154.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2394_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2751,plain,
% 153.84/154.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_164]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_161,plain,
% 153.84/154.06 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2401_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2745,plain,
% 153.84/154.06 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_161]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_159,plain,
% 153.84/154.06 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2406_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2741,plain,
% 153.84/154.06 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_159]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_157,plain,
% 153.84/154.06 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2409_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2737,plain,
% 153.84/154.06 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 153.84/154.06 inference(copy,[status(esa)],[c_157]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_155,plain,
% 153.84/154.06 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2413_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2733,plain,
% 153.84/154.06 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_155]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_154,plain,
% 153.84/154.06 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2443_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2731,plain,
% 153.84/154.06 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_154]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_153,plain,
% 153.84/154.06 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2444_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2729,plain,
% 153.84/154.06 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_153]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_152,plain,
% 153.84/154.06 ( c_Type_Otype_OAtom(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2445_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2727,plain,
% 153.84/154.06 ( c_Type_Otype_OAtom(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_152]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_151,plain,
% 153.84/154.06 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != c_Type_Otype_OAtom(X2) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2446_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2725,plain,
% 153.84/154.06 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != c_Type_Otype_OAtom(X2) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_151]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_150,plain,
% 153.84/154.06 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2447_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2723,plain,
% 153.84/154.06 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_150]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_149,plain,
% 153.84/154.06 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2448_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2721,plain,
% 153.84/154.06 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_149]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_148,plain,
% 153.84/154.06 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2492_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2719,plain,
% 153.84/154.06 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_148]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_147,plain,
% 153.84/154.06 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2493_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2717,plain,
% 153.84/154.06 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_147]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_143,plain,
% 153.84/154.06 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2498_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2709,plain,
% 153.84/154.06 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_143]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_141,plain,
% 153.84/154.06 ( c_Suc(X0) != X0 ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2500_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2705,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_141]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_137,plain,
% 153.84/154.06 ( c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2032_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2699,plain,
% 153.84/154.06 ( c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_137]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_130,plain,
% 153.84/154.06 ( c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2045_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2690,plain,
% 153.84/154.06 ( c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_130]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_104,plain,
% 153.84/154.06 ( hBOOL(hAPP(hAPP(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)))) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2116_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2661,plain,
% 153.84/154.06 ( hBOOL(hAPP(hAPP(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)))) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_104]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_79,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2234_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2633,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_79]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_73,plain,
% 153.84/154.06 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2251_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2625,plain,
% 153.84/154.06 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_73]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_72,plain,
% 153.84/154.06 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2252_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2623,plain,
% 153.84/154.06 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_72]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_60,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2402_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2610,plain,
% 153.84/154.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_60]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_59,plain,
% 153.84/154.06 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2410_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2608,plain,
% 153.84/154.06 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_59]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_51,plain,
% 153.84/154.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2439_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2599,plain,
% 153.84/154.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_51]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_49,plain,
% 153.84/154.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2450_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2595,plain,
% 153.84/154.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_49]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_43,plain,
% 153.84/154.06 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2458_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2588,plain,
% 153.84/154.06 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_43]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_41,plain,
% 153.84/154.06 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2461_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2584,plain,
% 153.84/154.06 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_41]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_38,plain,
% 153.84/154.06 ( c_fequal(X0,X0,X1) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2464_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2580,plain,
% 153.84/154.06 ( c_fequal(X0,X0,X1) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_38]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_36,plain,
% 153.84/154.06 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2467_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2577,plain,
% 153.84/154.06 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_36]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_29,plain,
% 153.84/154.06 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2475_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2569,plain,
% 153.84/154.06 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_29]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_28,plain,
% 153.84/154.06 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2481_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2567,plain,
% 153.84/154.06 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_28]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_23,plain,
% 153.84/154.06 ( class_Power_Opower(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2501_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2561,plain,
% 153.84/154.06 ( class_Power_Opower(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_23]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_22,plain,
% 153.84/154.06 ( class_Orderings_Oorder(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2502_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2559,plain,
% 153.84/154.06 ( class_Orderings_Oorder(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_22]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_21,plain,
% 153.84/154.06 ( class_Orderings_Olinorder(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2503_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2557,plain,
% 153.84/154.06 ( class_Orderings_Olinorder(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_21]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_20,plain,
% 153.84/154.06 ( class_Orderings_Opreorder(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2504_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2555,plain,
% 153.84/154.06 ( class_Orderings_Opreorder(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_20]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_19,plain,
% 153.84/154.06 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2505_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2553,plain,
% 153.84/154.06 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_19]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_18,plain,
% 153.84/154.06 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2506_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2551,plain,
% 153.84/154.06 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_18]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_17,plain,
% 153.84/154.06 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2507_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2549,plain,
% 153.84/154.06 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_17]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_16,plain,
% 153.84/154.06 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2508_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2547,plain,
% 153.84/154.06 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_16]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_15,plain,
% 153.84/154.06 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2509_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2545,plain,
% 153.84/154.06 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_15]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_14,plain,
% 153.84/154.06 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2510_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2543,plain,
% 153.84/154.06 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_14]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_13,plain,
% 153.84/154.06 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2511_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2541,plain,
% 153.84/154.06 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_13]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_12,plain,
% 153.84/154.06 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2512_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2539,plain,
% 153.84/154.06 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_12]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_11,plain,
% 153.84/154.06 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2513_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2537,plain,
% 153.84/154.06 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_11]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_10,plain,
% 153.84/154.06 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2514_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2535,plain,
% 153.84/154.06 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_10]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_9,plain,
% 153.84/154.06 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2515_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2533,plain,
% 153.84/154.06 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_9]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_8,plain,
% 153.84/154.06 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2516_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2531,plain,
% 153.84/154.06 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_8]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_7,plain,
% 153.84/154.06 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2517_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2529,plain,
% 153.84/154.06 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_7]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_6,plain,
% 153.84/154.06 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2518_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2527,plain,
% 153.84/154.06 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_6]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_5,plain,
% 153.84/154.06 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2519_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2525,plain,
% 153.84/154.06 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_5]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_4,plain,
% 153.84/154.06 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2520_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2523,plain,
% 153.84/154.06 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_4]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_3,plain,
% 153.84/154.06 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2521_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2521,plain,
% 153.84/154.06 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_3]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2,plain,
% 153.84/154.06 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2522_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2519,plain,
% 153.84/154.06 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_2]) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_1,plain,
% 153.84/154.06 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 153.84/154.06 file('/export/starexec/sandbox/tmp/iprover_modulo_aef40f.p', c_0_2523_0) ).
% 153.84/154.06
% 153.84/154.06 cnf(c_2517,plain,
% 153.84/154.06 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 153.84/154.06 inference(copy,[status(esa)],[c_1]) ).
% 153.84/154.06
% 153.84/154.06
% 153.84/154.06
% 153.84/154.06 % ------ Statistics
% 153.84/154.06
% 153.84/154.06 % ------ General
% 153.84/154.06
% 153.84/154.06 % num_of_input_clauses: 1092
% 153.84/154.06 % num_of_input_neg_conjectures: 1
% 153.84/154.06 % num_of_splits: 0
% 153.84/154.06 % num_of_split_atoms: 0
% 153.84/154.06 % num_of_sem_filtered_clauses: 0
% 153.84/154.06 % num_of_subtypes: 0
% 153.84/154.06 % monotx_restored_types: 0
% 153.84/154.06 % sat_num_of_epr_types: 0
% 153.84/154.06 % sat_num_of_non_cyclic_types: 0
% 153.84/154.06 % sat_guarded_non_collapsed_types: 0
% 153.84/154.06 % is_epr: 0
% 153.84/154.06 % is_horn: 0
% 153.84/154.06 % has_eq: 1
% 153.84/154.06 % num_pure_diseq_elim: 0
% 153.84/154.06 % simp_replaced_by: 0
% 153.84/154.06 % res_preprocessed: 2
% 153.84/154.06 % prep_upred: 0
% 153.84/154.06 % prep_unflattend: 0
% 153.84/154.06 % pred_elim_cands: 0
% 153.84/154.06 % pred_elim: 0
% 153.84/154.06 % pred_elim_cl: 0
% 153.84/154.06 % pred_elim_cycles: 0
% 153.84/154.06 % forced_gc_time: 0
% 153.84/154.06 % gc_basic_clause_elim: 0
% 153.84/154.06 % parsing_time: 0.027
% 153.84/154.06 % sem_filter_time: 0.
% 153.84/154.06 % pred_elim_time: 0.
% 153.84/154.06 % out_proof_time: 0.
% 153.84/154.06 % monotx_time: 0.
% 153.84/154.06 % subtype_inf_time: 0.
% 153.84/154.06 % unif_index_cands_time: 0.
% 153.84/154.06 % unif_index_add_time: 0.
% 153.84/154.06 % total_time: 3.427
% 153.84/154.06 % num_of_symbols: 119
% 153.84/154.06 % num_of_terms: 2875
% 153.84/154.06
% 153.84/154.06 % ------ Propositional Solver
% 153.84/154.06
% 153.84/154.06 % prop_solver_calls: 1
% 153.84/154.06 % prop_fast_solver_calls: 3
% 153.84/154.06 % prop_num_of_clauses: 1012
% 153.84/154.06 % prop_preprocess_simplified: 3276
% 153.84/154.06 % prop_fo_subsumed: 0
% 153.84/154.06 % prop_solver_time: 0.
% 153.84/154.06 % prop_fast_solver_time: 0.
% 153.84/154.06 % prop_unsat_core_time: 0.
% 153.84/154.06
% 153.84/154.06 % ------ QBF
% 153.84/154.06
% 153.84/154.06 % qbf_q_res: 0
% 153.84/154.06 % qbf_num_tautologies: 0
% 153.84/154.06 % qbf_prep_cycles: 0
% 153.84/154.06
% 153.84/154.06 % ------ BMC1
% 153.84/154.06
% 153.84/154.06 % bmc1_current_bound: -1
% 153.84/154.06 % bmc1_last_solved_bound: -1
% 153.84/154.06 % bmc1_unsat_core_size: -1
% 153.84/154.06 % bmc1_unsat_core_parents_size: -1
% 153.84/154.06 % bmc1_merge_next_fun: 0
% 153.84/154.06 % bmc1_unsat_core_clauses_time: 0.
% 153.84/154.06
% 153.84/154.06 % ------ Instantiation
% 153.84/154.06
% 153.84/154.06 % inst_num_of_clauses: 952
% 153.84/154.06 % inst_num_in_passive: 0
% 153.84/154.06 % inst_num_in_active: 0
% 153.84/154.06 % inst_num_in_unprocessed: 1092
% 153.84/154.06 % inst_num_of_loops: 0
% 153.84/154.06 % inst_num_of_learning_restarts: 0
% 153.84/154.06 % inst_num_moves_active_passive: 0
% 153.84/154.06 % inst_lit_activity: 0
% 153.84/154.06 % inst_lit_activity_moves: 0
% 153.84/154.06 % inst_num_tautologies: 0
% 153.84/154.06 % inst_num_prop_implied: 0
% 153.84/154.06 % inst_num_existing_simplified: 0
% 153.84/154.06 % inst_num_eq_res_simplified: 0
% 153.84/154.06 % inst_num_child_elim: 0
% 153.84/154.06 % inst_num_of_dismatching_blockings: 0
% 153.84/154.06 % inst_num_of_non_proper_insts: 0
% 153.84/154.06 % inst_num_of_duplicates: 0
% 153.84/154.06 % inst_inst_num_from_inst_to_res: 0
% 153.84/154.06 % inst_dismatching_checking_time: 0.
% 153.84/154.06
% 153.84/154.06 % ------ Resolution
% 153.84/154.06
% 153.84/154.06 % res_num_of_clauses: 1030
% 153.84/154.06 % res_num_in_passive: 0
% 153.84/154.06 % res_num_in_active: 400
% 153.84/154.06 % res_num_of_loops: 4
% 153.84/154.06 % res_forward_subset_subsumed: 600
% 153.84/154.06 % res_backward_subset_subsumed: 0
% 153.84/154.06 % res_forward_subsumed: 1
% 153.84/154.06 % res_backward_subsumed: 0
% 153.84/154.06 % res_forward_subsumption_resolution: 0
% 153.84/154.06 % res_backward_subsumption_resolution: 0
% 153.84/154.06 % res_clause_to_clause_subsumption: 3
% 153.84/154.06 % res_orphan_elimination: 0
% 153.84/154.06 % res_tautology_del: 0
% 153.84/154.06 % res_num_eq_res_simplified: 0
% 153.84/154.06 % res_num_sel_changes: 0
% 153.84/154.06 % res_moves_from_active_to_pass: 0
% 153.84/154.06
% 153.84/154.07 % Status Unknown
% 153.84/154.07 % Last status :
% 153.84/154.07 % SZS status Unknown
%------------------------------------------------------------------------------