TSTP Solution File: LCL821-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL821-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n003.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 11:40:18 EDT 2022
% Result : Unknown 152.19s 152.68s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL821-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 2 17:32:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Running in mono-core mode
% 0.20/0.46 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.46 % Orientation found
% 0.20/0.46 % 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_660b4e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_384d77.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_f62891 | grep -v "SZS"
% 0.20/0.48
% 0.20/0.48 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.48
% 0.20/0.48 %
% 0.20/0.48 % ------ iProver source info
% 0.20/0.48
% 0.20/0.48 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.48 % git: non_committed_changes: true
% 0.20/0.48 % git: last_make_outside_of_git: true
% 0.20/0.48
% 0.20/0.48 %
% 0.20/0.48 % ------ Input Options
% 0.20/0.48
% 0.20/0.48 % --out_options all
% 0.20/0.48 % --tptp_safe_out true
% 0.20/0.48 % --problem_path ""
% 0.20/0.48 % --include_path ""
% 0.20/0.48 % --clausifier .//eprover
% 0.20/0.48 % --clausifier_options --tstp-format
% 0.20/0.48 % --stdin false
% 0.20/0.48 % --dbg_backtrace false
% 0.20/0.48 % --dbg_dump_prop_clauses false
% 0.20/0.48 % --dbg_dump_prop_clauses_file -
% 0.20/0.48 % --dbg_out_stat false
% 0.20/0.48
% 0.20/0.48 % ------ General Options
% 0.20/0.48
% 0.20/0.48 % --fof false
% 0.20/0.48 % --time_out_real 150.
% 0.20/0.48 % --time_out_prep_mult 0.2
% 0.20/0.48 % --time_out_virtual -1.
% 0.20/0.48 % --schedule none
% 0.20/0.48 % --ground_splitting input
% 0.20/0.48 % --splitting_nvd 16
% 0.20/0.48 % --non_eq_to_eq false
% 0.20/0.48 % --prep_gs_sim true
% 0.20/0.48 % --prep_unflatten false
% 0.20/0.48 % --prep_res_sim true
% 0.20/0.48 % --prep_upred true
% 0.20/0.48 % --res_sim_input true
% 0.20/0.48 % --clause_weak_htbl true
% 0.20/0.48 % --gc_record_bc_elim false
% 0.20/0.48 % --symbol_type_check false
% 0.20/0.48 % --clausify_out false
% 0.20/0.48 % --large_theory_mode false
% 0.20/0.48 % --prep_sem_filter none
% 0.20/0.48 % --prep_sem_filter_out false
% 0.20/0.48 % --preprocessed_out false
% 0.20/0.48 % --sub_typing false
% 0.20/0.48 % --brand_transform false
% 0.20/0.48 % --pure_diseq_elim true
% 0.20/0.48 % --min_unsat_core false
% 0.20/0.48 % --pred_elim true
% 0.20/0.48 % --add_important_lit false
% 0.20/0.48 % --soft_assumptions false
% 0.20/0.48 % --reset_solvers false
% 0.20/0.48 % --bc_imp_inh []
% 0.20/0.48 % --conj_cone_tolerance 1.5
% 0.20/0.48 % --prolific_symb_bound 500
% 0.20/0.48 % --lt_threshold 2000
% 0.20/0.48
% 0.20/0.48 % ------ SAT Options
% 0.20/0.48
% 0.20/0.48 % --sat_mode false
% 0.20/0.48 % --sat_fm_restart_options ""
% 0.20/0.48 % --sat_gr_def false
% 0.20/0.48 % --sat_epr_types true
% 0.20/0.48 % --sat_non_cyclic_types false
% 0.20/0.48 % --sat_finite_models false
% 0.20/0.48 % --sat_fm_lemmas false
% 0.20/0.48 % --sat_fm_prep false
% 0.20/0.48 % --sat_fm_uc_incr true
% 0.20/0.48 % --sat_out_model small
% 0.20/0.48 % --sat_out_clauses false
% 0.20/0.48
% 0.20/0.48 % ------ QBF Options
% 0.20/0.48
% 0.20/0.48 % --qbf_mode false
% 0.20/0.48 % --qbf_elim_univ true
% 0.20/0.48 % --qbf_sk_in true
% 0.20/0.48 % --qbf_pred_elim true
% 0.20/0.48 % --qbf_split 32
% 0.20/0.48
% 0.20/0.48 % ------ BMC1 Options
% 0.20/0.48
% 0.20/0.48 % --bmc1_incremental false
% 0.20/0.48 % --bmc1_axioms reachable_all
% 0.20/0.48 % --bmc1_min_bound 0
% 0.20/0.48 % --bmc1_max_bound -1
% 0.20/0.48 % --bmc1_max_bound_default -1
% 0.20/0.48 % --bmc1_symbol_reachability true
% 0.20/0.48 % --bmc1_property_lemmas false
% 0.20/0.48 % --bmc1_k_induction false
% 0.20/0.48 % --bmc1_non_equiv_states false
% 0.20/0.48 % --bmc1_deadlock false
% 0.20/0.48 % --bmc1_ucm false
% 0.20/0.48 % --bmc1_add_unsat_core none
% 0.20/0.48 % --bmc1_unsat_core_children false
% 0.20/0.48 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.48 % --bmc1_out_stat full
% 0.20/0.48 % --bmc1_ground_init false
% 0.20/0.48 % --bmc1_pre_inst_next_state false
% 0.20/0.48 % --bmc1_pre_inst_state false
% 0.20/0.48 % --bmc1_pre_inst_reach_state false
% 0.20/0.48 % --bmc1_out_unsat_core false
% 0.20/0.48 % --bmc1_aig_witness_out false
% 0.20/0.48 % --bmc1_verbose false
% 0.20/0.48 % --bmc1_dump_clauses_tptp false
% 150.26/150.48 % --bmc1_dump_unsat_core_tptp false
% 150.26/150.48 % --bmc1_dump_file -
% 150.26/150.48 % --bmc1_ucm_expand_uc_limit 128
% 150.26/150.48 % --bmc1_ucm_n_expand_iterations 6
% 150.26/150.48 % --bmc1_ucm_extend_mode 1
% 150.26/150.48 % --bmc1_ucm_init_mode 2
% 150.26/150.48 % --bmc1_ucm_cone_mode none
% 150.26/150.48 % --bmc1_ucm_reduced_relation_type 0
% 150.26/150.48 % --bmc1_ucm_relax_model 4
% 150.26/150.48 % --bmc1_ucm_full_tr_after_sat true
% 150.26/150.48 % --bmc1_ucm_expand_neg_assumptions false
% 150.26/150.48 % --bmc1_ucm_layered_model none
% 150.26/150.48 % --bmc1_ucm_max_lemma_size 10
% 150.26/150.48
% 150.26/150.48 % ------ AIG Options
% 150.26/150.48
% 150.26/150.48 % --aig_mode false
% 150.26/150.48
% 150.26/150.48 % ------ Instantiation Options
% 150.26/150.48
% 150.26/150.48 % --instantiation_flag true
% 150.26/150.48 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.26/150.48 % --inst_solver_per_active 750
% 150.26/150.48 % --inst_solver_calls_frac 0.5
% 150.26/150.48 % --inst_passive_queue_type priority_queues
% 150.26/150.48 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.26/150.48 % --inst_passive_queues_freq [25;2]
% 150.26/150.48 % --inst_dismatching true
% 150.26/150.48 % --inst_eager_unprocessed_to_passive true
% 150.26/150.48 % --inst_prop_sim_given true
% 150.26/150.48 % --inst_prop_sim_new false
% 150.26/150.48 % --inst_orphan_elimination true
% 150.26/150.48 % --inst_learning_loop_flag true
% 150.26/150.48 % --inst_learning_start 3000
% 150.26/150.48 % --inst_learning_factor 2
% 150.26/150.48 % --inst_start_prop_sim_after_learn 3
% 150.26/150.48 % --inst_sel_renew solver
% 150.26/150.48 % --inst_lit_activity_flag true
% 150.26/150.48 % --inst_out_proof true
% 150.26/150.48
% 150.26/150.48 % ------ Resolution Options
% 150.26/150.48
% 150.26/150.48 % --resolution_flag true
% 150.26/150.48 % --res_lit_sel kbo_max
% 150.26/150.48 % --res_to_prop_solver none
% 150.26/150.48 % --res_prop_simpl_new false
% 150.26/150.48 % --res_prop_simpl_given false
% 150.26/150.48 % --res_passive_queue_type priority_queues
% 150.26/150.48 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.26/150.48 % --res_passive_queues_freq [15;5]
% 150.26/150.48 % --res_forward_subs full
% 150.26/150.48 % --res_backward_subs full
% 150.26/150.48 % --res_forward_subs_resolution true
% 150.26/150.48 % --res_backward_subs_resolution true
% 150.26/150.48 % --res_orphan_elimination false
% 150.26/150.48 % --res_time_limit 1000.
% 150.26/150.48 % --res_out_proof true
% 150.26/150.48 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_660b4e.s
% 150.26/150.48 % --modulo true
% 150.26/150.48
% 150.26/150.48 % ------ Combination Options
% 150.26/150.48
% 150.26/150.48 % --comb_res_mult 1000
% 150.26/150.48 % --comb_inst_mult 300
% 150.26/150.48 % ------
% 150.26/150.48
% 150.26/150.48 % ------ Parsing...% successful
% 150.26/150.48
% 150.26/150.48 % ------ 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 %
% 150.26/150.48
% 150.26/150.48 % ------ Proving...
% 150.26/150.48 % ------ Problem Properties
% 150.26/150.48
% 150.26/150.48 %
% 150.26/150.48 % EPR false
% 150.26/150.48 % Horn false
% 150.26/150.48 % Has equality true
% 150.26/150.48
% 150.26/150.48 % % ------ Input Options Time Limit: Unbounded
% 150.26/150.48
% 150.26/150.48
% 150.26/150.48 % warning: Clause {~(c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0));v_thesis____} has no selected literals
% 150.26/150.48 cnf(c_720,negated_conjecture,
% 150.26/150.48 ( ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0)
% 150.26/150.48 | v_thesis____ ),
% 150.26/150.48 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_8) ).
% 150.26/150.48
% 150.26/150.48 % warning: Clause {~(c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0));v_thesis____} has no selected literals
% 150.26/150.48 cnf(c_720,negated_conjecture,
% 150.26/150.48 ( ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0)
% 150.26/150.48 | v_thesis____ ),
% 150.26/150.48 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_8) ).
% 150.26/150.48
% 150.26/150.48 Compiling...
% 150.26/150.48 Loading plugin: done.
% 150.26/150.48 %
% 150.26/150.48
% 150.26/150.48
% 150.26/150.48 % Time Out Real
% 150.26/150.48
% 150.26/150.48 % ------ Statistics
% 150.26/150.48
% 150.26/150.48 % ------ General
% 150.26/150.48
% 150.26/150.48 % num_of_input_clauses: 722
% 150.26/150.48 % num_of_input_neg_conjectures: 2
% 150.26/150.48 % num_of_splits: 0
% 150.26/150.48 % num_of_split_atoms: 0
% 150.26/150.48 % num_of_sem_filtered_clauses: 0
% 150.26/150.49 % num_of_subtypes: 0
% 150.26/150.49 % monotx_restored_types: 0
% 150.26/150.49 % sat_num_of_epr_types: 0
% 150.26/150.49 % sat_num_of_non_cyclic_types: 0
% 150.26/150.49 % sat_guarded_non_collapsed_types: 0
% 150.26/150.49 % is_epr: 0
% 150.26/150.49 % is_horn: 0
% 150.26/150.49 % has_eq: 1
% 150.26/150.49 % num_pure_diseq_elim: 0
% 150.26/150.49 % simp_replaced_by: 0
% 150.26/150.49 % res_preprocessed: 2
% 150.26/150.49 % prep_upred: 0
% 150.26/150.49 % prep_unflattend: 0
% 150.26/150.49 % pred_elim_cands: 0
% 150.26/150.49 % pred_elim: 0
% 150.26/150.49 % pred_elim_cl: 0
% 150.26/150.49 % pred_elim_cycles: 0
% 150.26/150.49 % forced_gc_time: 0
% 150.26/150.49 % gc_basic_clause_elim: 0
% 150.26/150.49 % parsing_time: 0.043
% 150.26/150.49 % sem_filter_time: 0.
% 150.26/150.49 % pred_elim_time: 0.
% 150.26/150.49 % out_proof_time: 0.
% 150.26/150.49 % monotx_time: 0.
% 150.26/150.49 % subtype_inf_time: 0.
% 150.26/150.49 % unif_index_cands_time: 0.
% 150.26/150.49 % unif_index_add_time: 0.
% 150.26/150.49 % total_time: 150.017
% 150.26/150.49 % num_of_symbols: 102
% 150.26/150.49 % num_of_terms: 2904
% 150.26/150.49
% 150.26/150.49 % ------ Propositional Solver
% 150.26/150.49
% 150.26/150.49 % prop_solver_calls: 1
% 150.26/150.49 % prop_fast_solver_calls: 3
% 150.26/150.49 % prop_num_of_clauses: 687
% 150.26/150.49 % prop_preprocess_simplified: 2145
% 150.26/150.49 % prop_fo_subsumed: 0
% 150.26/150.49 % prop_solver_time: 0.
% 150.26/150.49 % prop_fast_solver_time: 0.
% 150.26/150.49 % prop_unsat_core_time: 0.
% 150.26/150.49
% 150.26/150.49 % ------ QBF
% 150.26/150.49
% 150.26/150.49 % qbf_q_res: 0
% 150.26/150.49 % qbf_num_tautologies: 0
% 150.26/150.49 % qbf_prep_cycles: 0
% 150.26/150.49
% 150.26/150.49 % ------ BMC1
% 150.26/150.49
% 150.26/150.49 % bmc1_current_bound: -1
% 150.26/150.49 % bmc1_last_solved_bound: -1
% 150.26/150.49 % bmc1_unsat_core_size: -1
% 150.26/150.49 % bmc1_unsat_core_parents_size: -1
% 150.26/150.49 % bmc1_merge_next_fun: 0
% 150.26/150.49 % bmc1_unsat_core_clauses_time: 0.
% 150.26/150.49
% 150.26/150.49 % ------ Instantiation
% 150.26/150.49
% 150.26/150.49 % inst_num_of_clauses: 650
% 150.26/150.49 % inst_num_in_passive: 0
% 150.26/150.49 % inst_num_in_active: 0
% 150.26/150.49 % inst_num_in_unprocessed: 723
% 150.26/150.49 % inst_num_of_loops: 0
% 150.26/150.49 % inst_num_of_learning_restarts: 0
% 150.26/150.49 % inst_num_moves_active_passive: 0
% 150.26/150.49 % inst_lit_activity: 0
% 150.26/150.49 % inst_lit_activity_moves: 0
% 150.26/150.49 % inst_num_tautologies: 0
% 150.26/150.49 % inst_num_prop_implied: 0
% 150.26/150.49 % inst_num_existing_simplified: 0
% 150.26/150.49 % inst_num_eq_res_simplified: 0
% 150.26/150.49 % inst_num_child_elim: 0
% 150.26/150.49 % inst_num_of_dismatching_blockings: 0
% 150.26/150.49 % inst_num_of_non_proper_insts: 0
% 150.26/150.49 % inst_num_of_duplicates: 0
% 150.26/150.49 % inst_inst_num_from_inst_to_res: 0
% 150.26/150.49 % inst_dismatching_checking_time: 0.
% 150.26/150.49
% 150.26/150.49 % ------ Resolution
% 150.26/150.49
% 150.26/150.49 % res_num_of_clauses: 590
% 150.26/150.49 % res_num_in_passive: 0
% 150.26/150.49 % res_num_in_active: 244
% 150.26/150.49 % res_num_of_loops: 0
% 150.26/150.49 % res_forward_subset_subsumed: 355
% 150.26/150.49 % res_backward_subset_subsumed: 0
% 150.26/150.49 % res_forward_subsumed: 0
% 150.26/150.49 % res_backward_subsumed: 0
% 150.26/150.49 % res_forward_subsumption_resolution: 0
% 150.26/150.49 % res_backward_subsumption_resolution: 0
% 150.26/150.49 % res_clause_to_clause_subsumption: 0
% 150.26/150.49 % res_orphan_elimination: 0
% 150.26/150.49 % res_tautology_del: 0
% 150.26/150.49 % res_num_eq_res_simplified: 0
% 150.26/150.49 % res_num_sel_changes: 0
% 150.26/150.49 % res_moves_from_active_to_pass: 0
% 150.26/150.49
% 150.26/150.49 % Status Unknown
% 150.35/150.58 % Orienting using strategy ClausalAll
% 150.35/150.58 % Orientation found
% 150.35/150.58 % 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_660b4e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_384d77.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_7e5a98 | grep -v "SZS"
% 150.35/150.59
% 150.35/150.59 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.35/150.59
% 150.35/150.59 %
% 150.35/150.59 % ------ iProver source info
% 150.35/150.59
% 150.35/150.59 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.35/150.59 % git: non_committed_changes: true
% 150.35/150.59 % git: last_make_outside_of_git: true
% 150.35/150.59
% 150.35/150.59 %
% 150.35/150.59 % ------ Input Options
% 150.35/150.59
% 150.35/150.59 % --out_options all
% 150.35/150.59 % --tptp_safe_out true
% 150.35/150.59 % --problem_path ""
% 150.35/150.59 % --include_path ""
% 150.35/150.59 % --clausifier .//eprover
% 150.35/150.59 % --clausifier_options --tstp-format
% 150.35/150.59 % --stdin false
% 150.35/150.59 % --dbg_backtrace false
% 150.35/150.59 % --dbg_dump_prop_clauses false
% 150.35/150.59 % --dbg_dump_prop_clauses_file -
% 150.35/150.59 % --dbg_out_stat false
% 150.35/150.59
% 150.35/150.59 % ------ General Options
% 150.35/150.59
% 150.35/150.59 % --fof false
% 150.35/150.59 % --time_out_real 150.
% 150.35/150.59 % --time_out_prep_mult 0.2
% 150.35/150.59 % --time_out_virtual -1.
% 150.35/150.59 % --schedule none
% 150.35/150.59 % --ground_splitting input
% 150.35/150.59 % --splitting_nvd 16
% 150.35/150.59 % --non_eq_to_eq false
% 150.35/150.59 % --prep_gs_sim true
% 150.35/150.59 % --prep_unflatten false
% 150.35/150.59 % --prep_res_sim true
% 150.35/150.59 % --prep_upred true
% 150.35/150.59 % --res_sim_input true
% 150.35/150.59 % --clause_weak_htbl true
% 150.35/150.59 % --gc_record_bc_elim false
% 150.35/150.59 % --symbol_type_check false
% 150.35/150.59 % --clausify_out false
% 150.35/150.59 % --large_theory_mode false
% 150.35/150.59 % --prep_sem_filter none
% 150.35/150.59 % --prep_sem_filter_out false
% 150.35/150.59 % --preprocessed_out false
% 150.35/150.59 % --sub_typing false
% 150.35/150.59 % --brand_transform false
% 150.35/150.59 % --pure_diseq_elim true
% 150.35/150.59 % --min_unsat_core false
% 150.35/150.59 % --pred_elim true
% 150.35/150.59 % --add_important_lit false
% 150.35/150.59 % --soft_assumptions false
% 150.35/150.59 % --reset_solvers false
% 150.35/150.59 % --bc_imp_inh []
% 150.35/150.59 % --conj_cone_tolerance 1.5
% 150.35/150.59 % --prolific_symb_bound 500
% 150.35/150.59 % --lt_threshold 2000
% 150.35/150.59
% 150.35/150.59 % ------ SAT Options
% 150.35/150.59
% 150.35/150.59 % --sat_mode false
% 150.35/150.59 % --sat_fm_restart_options ""
% 150.35/150.59 % --sat_gr_def false
% 150.35/150.59 % --sat_epr_types true
% 150.35/150.59 % --sat_non_cyclic_types false
% 150.35/150.59 % --sat_finite_models false
% 150.35/150.59 % --sat_fm_lemmas false
% 150.35/150.59 % --sat_fm_prep false
% 150.35/150.59 % --sat_fm_uc_incr true
% 150.35/150.59 % --sat_out_model small
% 150.35/150.59 % --sat_out_clauses false
% 150.35/150.59
% 150.35/150.59 % ------ QBF Options
% 150.35/150.59
% 150.35/150.59 % --qbf_mode false
% 150.35/150.59 % --qbf_elim_univ true
% 150.35/150.59 % --qbf_sk_in true
% 150.35/150.59 % --qbf_pred_elim true
% 150.35/150.59 % --qbf_split 32
% 150.35/150.59
% 150.35/150.59 % ------ BMC1 Options
% 150.35/150.60
% 150.35/150.60 % --bmc1_incremental false
% 150.35/150.60 % --bmc1_axioms reachable_all
% 150.35/150.60 % --bmc1_min_bound 0
% 150.35/150.60 % --bmc1_max_bound -1
% 150.35/150.60 % --bmc1_max_bound_default -1
% 150.35/150.60 % --bmc1_symbol_reachability true
% 150.35/150.60 % --bmc1_property_lemmas false
% 150.35/150.60 % --bmc1_k_induction false
% 150.35/150.60 % --bmc1_non_equiv_states false
% 150.35/150.60 % --bmc1_deadlock false
% 150.35/150.60 % --bmc1_ucm false
% 150.35/150.60 % --bmc1_add_unsat_core none
% 150.35/150.60 % --bmc1_unsat_core_children false
% 150.35/150.60 % --bmc1_unsat_core_extrapolate_axioms false
% 150.35/150.60 % --bmc1_out_stat full
% 150.35/150.60 % --bmc1_ground_init false
% 150.35/150.60 % --bmc1_pre_inst_next_state false
% 150.35/150.60 % --bmc1_pre_inst_state false
% 150.35/150.60 % --bmc1_pre_inst_reach_state false
% 150.35/150.60 % --bmc1_out_unsat_core false
% 150.35/150.60 % --bmc1_aig_witness_out false
% 150.35/150.60 % --bmc1_verbose false
% 150.35/150.60 % --bmc1_dump_clauses_tptp false
% 151.40/151.71 % --bmc1_dump_unsat_core_tptp false
% 151.40/151.71 % --bmc1_dump_file -
% 151.40/151.71 % --bmc1_ucm_expand_uc_limit 128
% 151.40/151.71 % --bmc1_ucm_n_expand_iterations 6
% 151.40/151.71 % --bmc1_ucm_extend_mode 1
% 151.40/151.71 % --bmc1_ucm_init_mode 2
% 151.40/151.71 % --bmc1_ucm_cone_mode none
% 151.40/151.71 % --bmc1_ucm_reduced_relation_type 0
% 151.40/151.71 % --bmc1_ucm_relax_model 4
% 151.40/151.71 % --bmc1_ucm_full_tr_after_sat true
% 151.40/151.71 % --bmc1_ucm_expand_neg_assumptions false
% 151.40/151.71 % --bmc1_ucm_layered_model none
% 151.40/151.71 % --bmc1_ucm_max_lemma_size 10
% 151.40/151.71
% 151.40/151.71 % ------ AIG Options
% 151.40/151.71
% 151.40/151.71 % --aig_mode false
% 151.40/151.71
% 151.40/151.71 % ------ Instantiation Options
% 151.40/151.71
% 151.40/151.71 % --instantiation_flag true
% 151.40/151.71 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 151.40/151.71 % --inst_solver_per_active 750
% 151.40/151.71 % --inst_solver_calls_frac 0.5
% 151.40/151.71 % --inst_passive_queue_type priority_queues
% 151.40/151.71 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 151.40/151.71 % --inst_passive_queues_freq [25;2]
% 151.40/151.71 % --inst_dismatching true
% 151.40/151.71 % --inst_eager_unprocessed_to_passive true
% 151.40/151.71 % --inst_prop_sim_given true
% 151.40/151.71 % --inst_prop_sim_new false
% 151.40/151.71 % --inst_orphan_elimination true
% 151.40/151.71 % --inst_learning_loop_flag true
% 151.40/151.71 % --inst_learning_start 3000
% 151.40/151.71 % --inst_learning_factor 2
% 151.40/151.71 % --inst_start_prop_sim_after_learn 3
% 151.40/151.71 % --inst_sel_renew solver
% 151.40/151.71 % --inst_lit_activity_flag true
% 151.40/151.71 % --inst_out_proof true
% 151.40/151.71
% 151.40/151.71 % ------ Resolution Options
% 151.40/151.71
% 151.40/151.71 % --resolution_flag true
% 151.40/151.71 % --res_lit_sel kbo_max
% 151.40/151.71 % --res_to_prop_solver none
% 151.40/151.71 % --res_prop_simpl_new false
% 151.40/151.71 % --res_prop_simpl_given false
% 151.40/151.71 % --res_passive_queue_type priority_queues
% 151.40/151.71 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 151.40/151.71 % --res_passive_queues_freq [15;5]
% 151.40/151.71 % --res_forward_subs full
% 151.40/151.71 % --res_backward_subs full
% 151.40/151.71 % --res_forward_subs_resolution true
% 151.40/151.71 % --res_backward_subs_resolution true
% 151.40/151.71 % --res_orphan_elimination false
% 151.40/151.71 % --res_time_limit 1000.
% 151.40/151.71 % --res_out_proof true
% 151.40/151.71 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_660b4e.s
% 151.40/151.71 % --modulo true
% 151.40/151.71
% 151.40/151.71 % ------ Combination Options
% 151.40/151.71
% 151.40/151.71 % --comb_res_mult 1000
% 151.40/151.71 % --comb_inst_mult 300
% 151.40/151.71 % ------
% 151.40/151.71
% 151.40/151.71 % ------ Parsing...% successful
% 151.40/151.71
% 151.40/151.71 % ------ 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 %
% 151.40/151.71
% 151.40/151.71 % ------ Proving...
% 151.40/151.71 % ------ Problem Properties
% 151.40/151.71
% 151.40/151.71 %
% 151.40/151.71 % EPR false
% 151.40/151.71 % Horn false
% 151.40/151.71 % Has equality true
% 151.40/151.71
% 151.40/151.71 % % ------ Input Options Time Limit: Unbounded
% 151.40/151.71
% 151.40/151.71
% 151.40/151.71 % warning: Clause {~(c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0));v_thesis____} has no selected literals
% 151.40/151.71 cnf(c_720,negated_conjecture,
% 151.40/151.71 ( ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0)
% 151.40/151.71 | v_thesis____ ),
% 151.40/151.71 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_8) ).
% 151.40/151.71
% 151.40/151.71 % warning: Clause {~(c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0));v_thesis____} has no selected literals
% 151.40/151.71 cnf(c_720,negated_conjecture,
% 151.40/151.71 ( ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0)
% 151.40/151.71 | v_thesis____ ),
% 151.40/151.71 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_8) ).
% 151.40/151.71
% 151.40/151.71 Compiling...
% 151.40/151.71 Loading plugin: done.
% 151.40/151.71 Compiling...
% 151.40/151.71 Loading plugin: done.
% 151.40/151.71 Compiling...
% 151.40/151.71 Loading plugin: done.
% 151.40/151.71 Compiling...
% 151.40/151.71 Loading plugin: done.
% 151.40/151.71 Compiling...
% 151.40/151.71 Loading plugin: done.
% 151.40/151.71 Compiling...
% 151.40/151.71 Loading plugin: done.
% 151.40/151.71 Compiling...
% 151.40/151.71 Loading plugin: done.
% 151.40/151.71 Compiling...
% 151.40/151.71 Loading plugin: done.
% 151.40/151.71 Compiling...
% 151.40/151.71 Loading plugin: done.
% 152.19/152.64 Compiling...
% 152.19/152.64 Loading plugin: done.
% 152.19/152.64 Compiling...
% 152.19/152.64 Loading plugin: done.
% 152.19/152.64 Compiling...
% 152.19/152.64 Loading plugin: done.
% 152.19/152.64 Compiling...
% 152.19/152.64 Loading plugin: done.
% 152.19/152.64 % warning: Clause {~(c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0));v_thesis____} has no selected literals
% 152.19/152.64 cnf(c_720,negated_conjecture,
% 152.19/152.64 ( ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0)
% 152.19/152.64 | v_thesis____ ),
% 152.19/152.64 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_8) ).
% 152.19/152.64
% 152.19/152.64 % warning: Clause {~(c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0));v_thesis____} has no selected literals
% 152.19/152.64 cnf(c_720,negated_conjecture,
% 152.19/152.64 ( ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0)
% 152.19/152.64 | v_thesis____ ),
% 152.19/152.64 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_8) ).
% 152.19/152.64
% 152.19/152.64 % % ------ Current options:
% 152.19/152.64
% 152.19/152.64 % ------ Input Options
% 152.19/152.64
% 152.19/152.64 % --out_options all
% 152.19/152.64 % --tptp_safe_out true
% 152.19/152.64 % --problem_path ""
% 152.19/152.64 % --include_path ""
% 152.19/152.64 % --clausifier .//eprover
% 152.19/152.64 % --clausifier_options --tstp-format
% 152.19/152.64 % --stdin false
% 152.19/152.64 % --dbg_backtrace false
% 152.19/152.64 % --dbg_dump_prop_clauses false
% 152.19/152.64 % --dbg_dump_prop_clauses_file -
% 152.19/152.64 % --dbg_out_stat false
% 152.19/152.64
% 152.19/152.64 % ------ General Options
% 152.19/152.64
% 152.19/152.64 % --fof false
% 152.19/152.64 % --time_out_real 150.
% 152.19/152.64 % --time_out_prep_mult 0.2
% 152.19/152.64 % --time_out_virtual -1.
% 152.19/152.64 % --schedule none
% 152.19/152.64 % --ground_splitting input
% 152.19/152.64 % --splitting_nvd 16
% 152.19/152.64 % --non_eq_to_eq false
% 152.19/152.64 % --prep_gs_sim true
% 152.19/152.64 % --prep_unflatten false
% 152.19/152.64 % --prep_res_sim true
% 152.19/152.64 % --prep_upred true
% 152.19/152.64 % --res_sim_input true
% 152.19/152.64 % --clause_weak_htbl true
% 152.19/152.64 % --gc_record_bc_elim false
% 152.19/152.64 % --symbol_type_check false
% 152.19/152.64 % --clausify_out false
% 152.19/152.64 % --large_theory_mode false
% 152.19/152.64 % --prep_sem_filter none
% 152.19/152.64 % --prep_sem_filter_out false
% 152.19/152.64 % --preprocessed_out false
% 152.19/152.64 % --sub_typing false
% 152.19/152.64 % --brand_transform false
% 152.19/152.64 % --pure_diseq_elim true
% 152.19/152.64 % --min_unsat_core false
% 152.19/152.64 % --pred_elim true
% 152.19/152.64 % --add_important_lit false
% 152.19/152.64 % --soft_assumptions false
% 152.19/152.64 % --reset_solvers false
% 152.19/152.64 % --bc_imp_inh []
% 152.19/152.64 % --conj_cone_tolerance 1.5
% 152.19/152.64 % --prolific_symb_bound 500
% 152.19/152.64 % --lt_threshold 2000
% 152.19/152.64
% 152.19/152.64 % ------ SAT Options
% 152.19/152.64
% 152.19/152.64 % --sat_mode false
% 152.19/152.64 % --sat_fm_restart_options ""
% 152.19/152.64 % --sat_gr_def false
% 152.19/152.64 % --sat_epr_types true
% 152.19/152.64 % --sat_non_cyclic_types false
% 152.19/152.64 % --sat_finite_models false
% 152.19/152.64 % --sat_fm_lemmas false
% 152.19/152.64 % --sat_fm_prep false
% 152.19/152.64 % --sat_fm_uc_incr true
% 152.19/152.64 % --sat_out_model small
% 152.19/152.64 % --sat_out_clauses false
% 152.19/152.64
% 152.19/152.64 % ------ QBF Options
% 152.19/152.64
% 152.19/152.64 % --qbf_mode false
% 152.19/152.64 % --qbf_elim_univ true
% 152.19/152.64 % --qbf_sk_in true
% 152.19/152.64 % --qbf_pred_elim true
% 152.19/152.64 % --qbf_split 32
% 152.19/152.64
% 152.19/152.64 % ------ BMC1 Options
% 152.19/152.64
% 152.19/152.64 % --bmc1_incremental false
% 152.19/152.64 % --bmc1_axioms reachable_all
% 152.19/152.64 % --bmc1_min_bound 0
% 152.19/152.64 % --bmc1_max_bound -1
% 152.19/152.64 % --bmc1_max_bound_default -1
% 152.19/152.64 % --bmc1_symbol_reachability true
% 152.19/152.64 % --bmc1_property_lemmas false
% 152.19/152.64 % --bmc1_k_induction false
% 152.19/152.64 % --bmc1_non_equiv_states false
% 152.19/152.64 % --bmc1_deadlock false
% 152.19/152.64 % --bmc1_ucm false
% 152.19/152.64 % --bmc1_add_unsat_core none
% 152.19/152.64 % --bmc1_unsat_core_children false
% 152.19/152.64 % --bmc1_unsat_core_extrapolate_axioms false
% 152.19/152.64 % --bmc1_out_stat full
% 152.19/152.64 % --bmc1_ground_init false
% 152.19/152.64 % --bmc1_pre_inst_next_state false
% 152.19/152.64 % --bmc1_pre_inst_state false
% 152.19/152.64 % --bmc1_pre_inst_reach_state false
% 152.19/152.64 % --bmc1_out_unsat_core false
% 152.19/152.64 % --bmc1_aig_witness_out false
% 152.19/152.64 % --bmc1_verbose false
% 152.19/152.64 % --bmc1_dump_clauses_tptp false
% 152.19/152.64 % --bmc1_dump_unsat_core_tptp false
% 152.19/152.64 % --bmc1_dump_file -
% 152.19/152.64 % --bmc1_ucm_expand_uc_limit 128
% 152.19/152.64 % --bmc1_ucm_n_expand_iterations 6
% 152.19/152.64 % --bmc1_ucm_extend_mode 1
% 152.19/152.64 % --bmc1_ucm_init_mode 2
% 152.19/152.64 % --bmc1_ucm_cone_mode none
% 152.19/152.64 % --bmc1_ucm_reduced_relation_type 0
% 152.19/152.64 % --bmc1_ucm_relax_model 4
% 152.19/152.64 % --bmc1_ucm_full_tr_after_sat true
% 152.19/152.64 % --bmc1_ucm_expand_neg_assumptions false
% 152.19/152.64 % --bmc1_ucm_layered_model none
% 152.19/152.64 % --bmc1_ucm_max_lemma_size 10
% 152.19/152.64
% 152.19/152.64 % ------ AIG Options
% 152.19/152.64
% 152.19/152.64 % --aig_mode false
% 152.19/152.64
% 152.19/152.64 % ------ Instantiation Options
% 152.19/152.64
% 152.19/152.64 % --instantiation_flag true
% 152.19/152.64 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 152.19/152.64 % --inst_solver_per_active 750
% 152.19/152.64 % --inst_solver_calls_frac 0.5
% 152.19/152.64 % --inst_passive_queue_type priority_queues
% 152.19/152.64 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 152.19/152.64 % --inst_passive_queues_freq [25;2]
% 152.19/152.64 % --inst_dismatching true
% 152.19/152.64 % --inst_eager_unprocessed_to_passive true
% 152.19/152.64 % --inst_prop_sim_given true
% 152.19/152.64 % --inst_prop_sim_new false
% 152.19/152.64 % --inst_orphan_elimination true
% 152.19/152.64 % --inst_learning_loop_flag true
% 152.19/152.64 % --inst_learning_start 3000
% 152.19/152.64 % --inst_learning_factor 2
% 152.19/152.64 % --inst_start_prop_sim_after_learn 3
% 152.19/152.64 % --inst_sel_renew solver
% 152.19/152.64 % --inst_lit_activity_flag true
% 152.19/152.64 % --inst_out_proof true
% 152.19/152.64
% 152.19/152.64 % ------ Resolution Options
% 152.19/152.64
% 152.19/152.64 % --resolution_flag true
% 152.19/152.64 % --res_lit_sel kbo_max
% 152.19/152.64 % --res_to_prop_solver none
% 152.19/152.64 % --res_prop_simpl_new false
% 152.19/152.64 % --res_prop_simpl_given false
% 152.19/152.64 % --res_passive_queue_type priority_queues
% 152.19/152.64 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 152.19/152.64 % --res_passive_queues_freq [15;5]
% 152.19/152.64 % --res_forward_subs full
% 152.19/152.64 % --res_backward_subs full
% 152.19/152.64 % --res_forward_subs_resolution true
% 152.19/152.64 % --res_backward_subs_resolution true
% 152.19/152.64 % --res_orphan_elimination false
% 152.19/152.64 % --res_time_limit 1000.
% 152.19/152.64 % --res_out_proof true
% 152.19/152.64 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_660b4e.s
% 152.19/152.64 % --modulo true
% 152.19/152.64
% 152.19/152.64 % ------ Combination Options
% 152.19/152.64
% 152.19/152.64 % --comb_res_mult 1000
% 152.19/152.64 % --comb_inst_mult 300
% 152.19/152.64 % ------
% 152.19/152.64
% 152.19/152.64
% 152.19/152.64
% 152.19/152.64 % ------ Proving...
% 152.19/152.64 % warning: shown sat in sat incomplete mode
% 152.19/152.64 %
% 152.19/152.64
% 152.19/152.64
% 152.19/152.64
% 152.19/152.64
% 152.19/152.64 cnf(c_721,negated_conjecture,
% 152.19/152.64 ( ~ v_thesis____ ),
% 152.19/152.64 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_9) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_979,negated_conjecture,
% 152.19/152.64 ( ~ v_thesis____ ),
% 152.19/152.64 inference(copy,[status(esa)],[c_721]) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_983,negated_conjecture,
% 152.19/152.64 ( ~ v_thesis____ ),
% 152.19/152.64 inference(copy,[status(esa)],[c_979]) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_984,negated_conjecture,
% 152.19/152.64 ( ~ v_thesis____ ),
% 152.19/152.64 inference(copy,[status(esa)],[c_983]) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_985,negated_conjecture,
% 152.19/152.64 ( ~ v_thesis____ ),
% 152.19/152.64 inference(copy,[status(esa)],[c_984]) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_3098,negated_conjecture,
% 152.19/152.64 ( ~ v_thesis____ ),
% 152.19/152.64 inference(copy,[status(esa)],[c_985]) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_605,plain,
% 152.19/152.64 ( v_thesis____
% 152.19/152.64 | ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0) ),
% 152.19/152.64 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1524_1) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_2864,plain,
% 152.19/152.64 ( v_thesis____
% 152.19/152.64 | ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0) ),
% 152.19/152.64 inference(copy,[status(esa)],[c_605]) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_2865,plain,
% 152.19/152.64 ( ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0)
% 152.19/152.64 | v_thesis____ ),
% 152.19/152.64 inference(rewriting,[status(thm)],[c_2864]) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_3102,plain,
% 152.19/152.64 ( ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0) ),
% 152.19/152.64 inference(backward_subsumption_resolution,[status(thm)],[c_3098,c_2865]) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_3103,plain,
% 152.19/152.64 ( ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0) ),
% 152.19/152.64 inference(rewriting,[status(thm)],[c_3102]) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_716,plain,
% 152.19/152.64 ( 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
% 152.19/152.64 | ~ 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)
% 152.19/152.64 | ~ c_Type_Otypings(X2,X5,X6)
% 152.19/152.64 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 152.19/152.64 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1461_3) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_3086,plain,
% 152.19/152.64 ( 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
% 152.19/152.64 | ~ 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)
% 152.19/152.64 | ~ c_Type_Otypings(X2,X5,X6)
% 152.19/152.64 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 152.19/152.64 inference(copy,[status(esa)],[c_716]) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_3087,plain,
% 152.19/152.64 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.19/152.64 | ~ 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)
% 152.19/152.64 | ~ c_Type_Otypings(X0,X2,X6)
% 152.19/152.64 | 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 ),
% 152.19/152.64 inference(rewriting,[status(thm)],[c_3086]) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_711,plain,
% 152.19/152.64 ( c_Type_Otypings(X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X1,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.19/152.64 | ~ c_Type_Otyping(X0,X1,X5)
% 152.19/152.64 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 152.19/152.64 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1463_2) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_3076,plain,
% 152.19/152.64 ( c_Type_Otypings(X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X1,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.19/152.64 | ~ c_Type_Otyping(X0,X1,X5)
% 152.19/152.64 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 152.19/152.64 inference(copy,[status(esa)],[c_711]) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_3077,plain,
% 152.19/152.64 ( ~ c_Type_Otyping(X0,X1,X2)
% 152.19/152.64 | ~ c_Type_Otypings(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 152.19/152.64 | c_Type_Otypings(X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X1,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X3,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
% 152.19/152.64 inference(rewriting,[status(thm)],[c_3076]) ).
% 152.19/152.64
% 152.19/152.64 cnf(c_707,plain,
% 152.19/152.64 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 152.19/152.64 | ~ 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)
% 152.19/152.64 | ~ c_Type_Otypings(X0,X5,X6)
% 152.19/152.64 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1464_3) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3068,plain,
% 152.19/152.65 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 152.19/152.65 | ~ 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)
% 152.19/152.65 | ~ c_Type_Otypings(X0,X5,X6)
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_707]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3069,plain,
% 152.19/152.65 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.19/152.65 | ~ 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)
% 152.19/152.65 | c_Type_Otypings(X0,X4,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X3,X0,X4))
% 152.19/152.65 | ~ c_Type_Otypings(X0,X2,X6) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_3068]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_698,plain,
% 152.19/152.65 ( 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)))
% 152.19/152.65 | ~ 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)))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1468_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3050,plain,
% 152.19/152.65 ( 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)))
% 152.19/152.65 | ~ 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)))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_698]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3051,plain,
% 152.19/152.65 ( ~ 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)))
% 152.19/152.65 | 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)))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_3050]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_695,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 152.19/152.65 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1470_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3044,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 152.19/152.65 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_695]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3045,plain,
% 152.19/152.65 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.19/152.65 | X3 = X4 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_3044]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_629,plain,
% 152.19/152.65 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 152.19/152.65 | ~ c_Type_Otyping(X2,X3,X1)
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 152.19/152.65 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 152.19/152.65 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1509_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2912,plain,
% 152.19/152.65 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 152.19/152.65 | ~ c_Type_Otyping(X2,X3,X1)
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 152.19/152.65 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 152.19/152.65 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_629]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2913,plain,
% 152.19/152.65 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.19/152.65 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.19/152.65 | ~ c_Type_Otyping(X3,X1,X4)
% 152.19/152.65 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2912]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_626,plain,
% 152.19/152.65 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.19/152.65 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.19/152.65 | ~ c_Type_Otyping(X3,X1,X4)
% 152.19/152.65 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1509_5) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2906,plain,
% 152.19/152.65 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.19/152.65 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.19/152.65 | ~ c_Type_Otyping(X3,X1,X4)
% 152.19/152.65 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 152.19/152.65 inference(copy,[status(esa)],[c_626]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2907,plain,
% 152.19/152.65 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.19/152.65 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.19/152.65 | ~ c_Type_Otyping(X3,X1,X4)
% 152.19/152.65 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2906]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_623,plain,
% 152.19/152.65 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 152.19/152.65 | ~ c_Type_Otyping(X2,X3,X0)
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 152.19/152.65 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 152.19/152.65 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1510_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2900,plain,
% 152.19/152.65 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 152.19/152.65 | ~ c_Type_Otyping(X2,X3,X0)
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 152.19/152.65 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 152.19/152.65 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_623]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2901,plain,
% 152.19/152.65 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.19/152.65 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.19/152.65 | ~ c_Type_Otyping(X3,X1,X4)
% 152.19/152.65 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2900]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_620,plain,
% 152.19/152.65 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.19/152.65 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.19/152.65 | ~ c_Type_Otyping(X3,X1,X4)
% 152.19/152.65 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1510_5) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2894,plain,
% 152.19/152.65 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.19/152.65 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.19/152.65 | ~ c_Type_Otyping(X3,X1,X4)
% 152.19/152.65 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 152.19/152.65 inference(copy,[status(esa)],[c_620]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2895,plain,
% 152.19/152.65 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.19/152.65 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.19/152.65 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.19/152.65 | ~ c_Type_Otyping(X3,X1,X4)
% 152.19/152.65 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2894]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_613,plain,
% 152.19/152.65 ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 152.19/152.65 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 152.19/152.65 | ~ c_Type_Otyping(X0,X2,X5) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1519_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2880,plain,
% 152.19/152.65 ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 152.19/152.65 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 152.19/152.65 | ~ c_Type_Otyping(X0,X2,X5) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_613]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2881,plain,
% 152.19/152.65 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 152.19/152.65 | c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X5),X1),X4)
% 152.19/152.65 | ~ c_Type_Otyping(X0,X5,X2) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2880]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_568,plain,
% 152.19/152.65 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.65 | 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)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1546_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2790,plain,
% 152.19/152.65 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.65 | 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)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_568]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2791,plain,
% 152.19/152.65 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.19/152.65 | 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)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2790]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_564,plain,
% 152.19/152.65 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1548_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2782,plain,
% 152.19/152.65 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_564]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2783,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2782]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_546,plain,
% 152.19/152.65 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | 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)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1556_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2746,plain,
% 152.19/152.65 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | 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)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_546]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2747,plain,
% 152.19/152.65 ( 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)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2746]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_532,plain,
% 152.19/152.65 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1569_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2718,plain,
% 152.19/152.65 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_532]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2719,plain,
% 152.19/152.65 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2718]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_528,plain,
% 152.19/152.65 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1570_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2710,plain,
% 152.19/152.65 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_528]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2711,plain,
% 152.19/152.65 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2710]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_510,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.19/152.65 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1575_3) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2674,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.19/152.65 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_510]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2675,plain,
% 152.19/152.65 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2674]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_504,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1577_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2662,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_504]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2663,plain,
% 152.19/152.65 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.19/152.65 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2662]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_501,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.19/152.65 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1579_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2656,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.19/152.65 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_501]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2657,plain,
% 152.19/152.65 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.65 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2656]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_498,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.19/152.65 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1580_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2650,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.19/152.65 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_498]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2651,plain,
% 152.19/152.65 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.19/152.65 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2650]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_495,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.19/152.65 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1581_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2644,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.19/152.65 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_495]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2645,plain,
% 152.19/152.65 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.65 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2644]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_492,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.19/152.65 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1582_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2638,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.19/152.65 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_492]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2639,plain,
% 152.19/152.65 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.65 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2638]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_491,plain,
% 152.19/152.65 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1583_0) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2636,plain,
% 152.19/152.65 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_491]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2637,plain,
% 152.19/152.65 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.19/152.65 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2636]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_488,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 152.19/152.65 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1583_3) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2630,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 152.19/152.65 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_488]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2631,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.19/152.65 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2630]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_487,plain,
% 152.19/152.65 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1584_0) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2628,plain,
% 152.19/152.65 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_487]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2629,plain,
% 152.19/152.65 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.19/152.65 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2628]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_484,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 152.19/152.65 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1584_3) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2622,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 152.19/152.65 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_484]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2623,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.19/152.65 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2622]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_467,plain,
% 152.19/152.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1599_0) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2588,plain,
% 152.19/152.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_467]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2589,plain,
% 152.19/152.65 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.19/152.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2588]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_405,plain,
% 152.19/152.65 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1630_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2464,plain,
% 152.19/152.65 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_405]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2465,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2464]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_376,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | X0 = X1
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.19/152.65 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1645_3) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2406,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | X0 = X1
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.19/152.65 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_376]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2407,plain,
% 152.19/152.65 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.19/152.65 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 152.19/152.65 | X2 = X1 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2406]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_346,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1655_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2346,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_346]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2347,plain,
% 152.19/152.65 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | X0 = X1 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2346]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_330,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | X1 = X0
% 152.19/152.65 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1661_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2314,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | X1 = X0
% 152.19/152.65 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_330]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2315,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1)
% 152.19/152.65 | X1 = X0 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2314]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_306,plain,
% 152.19/152.65 ( c_Suc(X0) = X1
% 152.19/152.65 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1674_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2266,plain,
% 152.19/152.65 ( c_Suc(X0) = X1
% 152.19/152.65 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_306]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2267,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | c_Suc(X0) = X1 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2266]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_289,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | X1 = X0
% 152.19/152.65 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1687_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2232,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | X1 = X0
% 152.19/152.65 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_289]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2233,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 152.19/152.65 | X1 = X0 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2232]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_271,plain,
% 152.19/152.65 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.65 | X2 = X1
% 152.19/152.65 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1692_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2196,plain,
% 152.19/152.65 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.65 | X2 = X1
% 152.19/152.65 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_271]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2197,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.19/152.65 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 152.19/152.65 | X1 = X0 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2196]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_269,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.19/152.65 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1692_3) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2192,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.19/152.65 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_269]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2193,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.19/152.65 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 152.19/152.65 | X0 = X1 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2192]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_239,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1709_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2132,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_239]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2133,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.65 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.19/152.65 | X0 = X1 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2132]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_233,plain,
% 152.19/152.65 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1711_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2120,plain,
% 152.19/152.65 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_233]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2121,plain,
% 152.19/152.65 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 152.19/152.65 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2120]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_216,plain,
% 152.19/152.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.65 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.65 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1717_0) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2086,plain,
% 152.19/152.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.65 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.65 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_216]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2087,plain,
% 152.19/152.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 152.19/152.65 | X1 = c_HOL_Oone__class_Oone(tc_nat)
% 152.19/152.65 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2086]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_214,plain,
% 152.19/152.65 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.65 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1717_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2082,plain,
% 152.19/152.65 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.65 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_214]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2083,plain,
% 152.19/152.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 152.19/152.65 | X0 = c_HOL_Oone__class_Oone(tc_nat)
% 152.19/152.65 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2082]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_205,plain,
% 152.19/152.65 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.65 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1720_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2064,plain,
% 152.19/152.65 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.65 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_205]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2065,plain,
% 152.19/152.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 152.19/152.65 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2064]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_202,plain,
% 152.19/152.65 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1721_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2058,plain,
% 152.19/152.65 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_202]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2059,plain,
% 152.19/152.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 152.19/152.65 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2058]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_192,plain,
% 152.19/152.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.65 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1728_0) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2038,plain,
% 152.19/152.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.65 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_192]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2039,plain,
% 152.19/152.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 152.19/152.65 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2038]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_190,plain,
% 152.19/152.65 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1728_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2034,plain,
% 152.19/152.65 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_190]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2035,plain,
% 152.19/152.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 152.19/152.65 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.65 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2034]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_40,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1753_0) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_1777,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_40]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_1778,plain,
% 152.19/152.65 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_1777]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_714,plain,
% 152.19/152.65 ( 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
% 152.19/152.65 | ~ 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)) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1462_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3082,plain,
% 152.19/152.65 ( 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
% 152.19/152.65 | ~ 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)) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_714]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3083,plain,
% 152.19/152.65 ( ~ 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))
% 152.19/152.65 | 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 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_3082]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_705,plain,
% 152.19/152.65 ( c_ListOrder_Ostep1(c_Lambda_Obeta,X0,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X0,X2),tc_Lambda_OdB)
% 152.19/152.65 | ~ 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)) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1465_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3064,plain,
% 152.19/152.65 ( c_ListOrder_Ostep1(c_Lambda_Obeta,X0,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X0,X2),tc_Lambda_OdB)
% 152.19/152.65 | ~ 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)) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_705]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3065,plain,
% 152.19/152.65 ( ~ 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))
% 152.19/152.65 | c_ListOrder_Ostep1(c_Lambda_Obeta,X1,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X0,X1,X2),tc_Lambda_OdB) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_3064]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_703,plain,
% 152.19/152.65 ( 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)))
% 152.19/152.65 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X1,X2,tc_Lambda_OdB) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1466_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3060,plain,
% 152.19/152.65 ( 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)))
% 152.19/152.65 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X1,X2,tc_Lambda_OdB) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_703]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_701,plain,
% 152.19/152.65 ( 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)))
% 152.19/152.65 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1467_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3056,plain,
% 152.19/152.65 ( 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)))
% 152.19/152.65 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_701]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_696,plain,
% 152.19/152.65 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.19/152.65 | X4 = X3
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1470_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3046,plain,
% 152.19/152.65 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.19/152.65 | X4 = X3
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_696]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3047,plain,
% 152.19/152.65 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.19/152.65 | X4 = X3 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_3046]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_693,plain,
% 152.19/152.65 ( 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))
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1471_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3040,plain,
% 152.19/152.65 ( 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))
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_693]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_691,plain,
% 152.19/152.65 ( 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))
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1472_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3036,plain,
% 152.19/152.65 ( 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))
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_691]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3037,plain,
% 152.19/152.65 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.19/152.65 | 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)) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_3036]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_689,plain,
% 152.19/152.65 ( 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))
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1473_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3032,plain,
% 152.19/152.65 ( 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))
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_689]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3033,plain,
% 152.19/152.65 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.19/152.65 | 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)) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_3032]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_686,plain,
% 152.19/152.65 ( c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.19/152.65 | ~ c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X4,X3,tc_Type_Otype,tc_Type_Otype))
% 152.19/152.65 | ~ c_Type_Otypings(X0,X2,X4) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1474_2) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3026,plain,
% 152.19/152.65 ( c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.19/152.65 | ~ c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X4,X3,tc_Type_Otype,tc_Type_Otype))
% 152.19/152.65 | ~ c_Type_Otypings(X0,X2,X4) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_686]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_684,plain,
% 152.19/152.65 ( c_Type_Otypings(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_List_Omap(c_COMBC(c_Lambda_Olift,X1,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.19/152.65 | ~ c_Type_Otypings(X0,X3,X4) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1475_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3022,plain,
% 152.19/152.65 ( c_Type_Otypings(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_List_Omap(c_COMBC(c_Lambda_Olift,X1,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.19/152.65 | ~ c_Type_Otypings(X0,X3,X4) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_684]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_682,plain,
% 152.19/152.65 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X0,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 152.19/152.65 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1476_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3018,plain,
% 152.19/152.65 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X0,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 152.19/152.65 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_682]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_680,plain,
% 152.19/152.65 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.19/152.65 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1477_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3014,plain,
% 152.19/152.65 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.19/152.65 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_680]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_678,plain,
% 152.19/152.65 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1478_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3010,plain,
% 152.19/152.65 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_678]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3011,plain,
% 152.19/152.65 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.19/152.65 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X0,X1,X2)) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_3010]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_676,plain,
% 152.19/152.65 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1479_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3006,plain,
% 152.19/152.65 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_676]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3007,plain,
% 152.19/152.65 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.19/152.65 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2)) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_3006]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_674,plain,
% 152.19/152.65 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1480_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3002,plain,
% 152.19/152.65 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 152.19/152.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_674]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_3003,plain,
% 152.19/152.65 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.19/152.65 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2)) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_3002]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_672,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | 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) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1481_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2998,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | 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) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_672]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2999,plain,
% 152.19/152.65 ( 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)
% 152.19/152.65 | X0 = X2 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2998]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_670,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | 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) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1482_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2994,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | 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) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_670]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2995,plain,
% 152.19/152.65 ( 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)
% 152.19/152.65 | X1 = X3 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2994]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_668,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | 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) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1483_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2990,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | 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) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_668]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2991,plain,
% 152.19/152.65 ( 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)
% 152.19/152.65 | X0 = X2 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2990]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_666,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | 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) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1484_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2986,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | 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) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_666]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2987,plain,
% 152.19/152.65 ( 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)
% 152.19/152.65 | X1 = X3 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2986]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_664,plain,
% 152.19/152.65 ( 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))
% 152.19/152.65 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1485_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2982,plain,
% 152.19/152.65 ( 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))
% 152.19/152.65 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_664]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2983,plain,
% 152.19/152.65 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 152.19/152.65 | 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)) ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2982]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_662,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | 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) ),
% 152.19/152.65 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1487_1) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2978,plain,
% 152.19/152.65 ( X0 = X1
% 152.19/152.65 | 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) ),
% 152.19/152.65 inference(copy,[status(esa)],[c_662]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_2979,plain,
% 152.19/152.65 ( 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)
% 152.19/152.65 | X0 = X2 ),
% 152.19/152.65 inference(rewriting,[status(thm)],[c_2978]) ).
% 152.19/152.65
% 152.19/152.65 cnf(c_660,plain,
% 152.19/152.65 ( 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)
% 152.19/152.65 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1488_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2974,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_660]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2975,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.19/152.66 | 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) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2974]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_658,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1489_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2970,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_658]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2971,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.19/152.66 | 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) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2970]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_656,plain,
% 152.19/152.66 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),c_Suc(X3))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1490_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2966,plain,
% 152.19/152.66 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),c_Suc(X3))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_656]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2967,plain,
% 152.19/152.66 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 152.19/152.66 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),hAPP(hAPP(c_Lambda_Olift,X3),X0)),c_Suc(X1))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X1)),X0) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X4),X0)),X3),X1) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2966]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_654,plain,
% 152.19/152.66 ( c_Nat_Osemiring__1__class_Oof__nat__aux(c_COMBC(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0),X0,X0,X0),X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0)
% 152.19/152.66 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1494_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2962,plain,
% 152.19/152.66 ( c_Nat_Osemiring__1__class_Oof__nat__aux(c_COMBC(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0),X0,X0,X0),X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0)
% 152.19/152.66 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_654]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2963,plain,
% 152.19/152.66 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.19/152.66 | c_Nat_Osemiring__1__class_Oof__nat__aux(c_COMBC(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0),X0,X0,X0),X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2962]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_652,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1496_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2958,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_652]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2959,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.19/152.66 | 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) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2958]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_650,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1497_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2954,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_650]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2955,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 152.19/152.66 | 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) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2954]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_648,plain,
% 152.19/152.66 ( c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X1,X3)),X2))
% 152.19/152.66 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1498_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2950,plain,
% 152.19/152.66 ( c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X1,X3)),X2))
% 152.19/152.66 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_648]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2951,plain,
% 152.19/152.66 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 152.19/152.66 | c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)),X3)) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2950]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_646,plain,
% 152.19/152.66 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 152.19/152.66 | 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) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1499_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2946,plain,
% 152.19/152.66 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 152.19/152.66 | 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) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_646]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2947,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2 ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2946]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_644,plain,
% 152.19/152.66 ( X0 = c_Lambda_OdB_OAbs(X1)
% 152.19/152.66 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1501_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2942,plain,
% 152.19/152.66 ( X0 = c_Lambda_OdB_OAbs(X1)
% 152.19/152.66 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_644]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2943,plain,
% 152.19/152.66 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 152.19/152.66 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2942]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_642,plain,
% 152.19/152.66 ( c_Lambda_OdB_OVar(X0) = X1
% 152.19/152.66 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1502_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2938,plain,
% 152.19/152.66 ( c_Lambda_OdB_OVar(X0) = X1
% 152.19/152.66 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_642]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2939,plain,
% 152.19/152.66 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.19/152.66 | c_Lambda_OdB_OVar(X0) = X1 ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2938]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_640,plain,
% 152.19/152.66 ( c_Lambda_OdB_OAbs(X0) = X1
% 152.19/152.66 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1503_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2934,plain,
% 152.19/152.66 ( c_Lambda_OdB_OAbs(X0) = X1
% 152.19/152.66 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_640]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2935,plain,
% 152.19/152.66 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.19/152.66 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2934]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_638,plain,
% 152.19/152.66 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X2),X1)),X3) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1504_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2930,plain,
% 152.19/152.66 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X2),X1)),X3) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_638]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2931,plain,
% 152.19/152.66 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 152.19/152.66 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X3),X1)),X0) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X3),X0)),X1) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2930]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_636,plain,
% 152.19/152.66 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.19/152.66 | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1505_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2926,plain,
% 152.19/152.66 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.19/152.66 | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_636]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2927,plain,
% 152.19/152.66 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.19/152.66 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2926]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_634,plain,
% 152.19/152.66 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.19/152.66 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1506_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2922,plain,
% 152.19/152.66 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.19/152.66 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_634]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2923,plain,
% 152.19/152.66 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 152.19/152.66 | X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2922]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_632,plain,
% 152.19/152.66 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.19/152.66 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1507_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2918,plain,
% 152.19/152.66 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.19/152.66 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_632]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2919,plain,
% 152.19/152.66 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.19/152.66 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2918]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_618,plain,
% 152.19/152.66 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1512_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2890,plain,
% 152.19/152.66 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_618]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2891,plain,
% 152.19/152.66 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 152.19/152.66 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X2),X0)),hAPP(hAPP(c_Lambda_Olift,X3),X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X3),X1)),X0) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2890]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_616,plain,
% 152.19/152.66 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2)))
% 152.19/152.66 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X3)) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1513_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2886,plain,
% 152.19/152.66 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2)))
% 152.19/152.66 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X3)) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_616]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_611,plain,
% 152.19/152.66 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
% 152.19/152.66 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1520_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2876,plain,
% 152.19/152.66 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
% 152.19/152.66 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_611]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2877,plain,
% 152.19/152.66 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 152.19/152.66 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),hAPP(hAPP(c_Type_Otype_OFun,X1),X3)) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2876]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_607,plain,
% 152.19/152.66 ( hBOOL(hAPP(X0,X1))
% 152.19/152.66 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1522_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2868,plain,
% 152.19/152.66 ( hBOOL(hAPP(X0,X1))
% 152.19/152.66 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_607]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2869,plain,
% 152.19/152.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 152.19/152.66 | hBOOL(hAPP(X0,X2)) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2868]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_603,plain,
% 152.19/152.66 ( c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1))
% 152.19/152.66 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1527_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2860,plain,
% 152.19/152.66 ( c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1))
% 152.19/152.66 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_603]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2861,plain,
% 152.19/152.66 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 152.19/152.66 | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2860]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_601,plain,
% 152.19/152.66 ( 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))
% 152.19/152.66 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1528_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2856,plain,
% 152.19/152.66 ( 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))
% 152.19/152.66 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_601]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2857,plain,
% 152.19/152.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.19/152.66 | 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)) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2856]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_599,plain,
% 152.19/152.66 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,c_HOL_Ominus__class_Ominus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X4,tc_nat) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1529_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2852,plain,
% 152.19/152.66 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,c_HOL_Ominus__class_Ominus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X4,tc_nat) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_599]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2853,plain,
% 152.19/152.66 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.66 | hAPP(c_Type_Oshift(X2,X0,X3,X4),X1) = hAPP(X2,c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2852]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_597,plain,
% 152.19/152.66 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 152.19/152.66 | ~ c_Type_Otyping(X0,X3,X4) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1530_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2848,plain,
% 152.19/152.66 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 152.19/152.66 | ~ c_Type_Otyping(X0,X3,X4) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_597]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_595,plain,
% 152.19/152.66 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)))
% 152.19/152.66 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1531_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2844,plain,
% 152.19/152.66 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)))
% 152.19/152.66 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_595]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_593,plain,
% 152.19/152.66 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)))
% 152.19/152.66 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1532_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2840,plain,
% 152.19/152.66 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)))
% 152.19/152.66 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_593]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_591,plain,
% 152.19/152.66 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2)))
% 152.19/152.66 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1533_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2836,plain,
% 152.19/152.66 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2)))
% 152.19/152.66 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_591]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_589,plain,
% 152.19/152.66 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1534_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2832,plain,
% 152.19/152.66 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_589]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2833,plain,
% 152.19/152.66 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.66 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2832]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_587,plain,
% 152.19/152.66 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X1)),c_Suc(X2)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X2)),X1)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1535_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2828,plain,
% 152.19/152.66 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X1)),c_Suc(X2)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X2)),X1)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_587]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2829,plain,
% 152.19/152.66 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 152.19/152.66 | hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X2),X0)),c_Suc(X1)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X2),X1)),X0) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2828]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_585,plain,
% 152.19/152.66 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.66 | c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1536_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2824,plain,
% 152.19/152.66 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.66 | c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_585]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2825,plain,
% 152.19/152.66 ( c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)
% 152.19/152.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2824]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_583,plain,
% 152.19/152.66 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,X1,hAPP(X0,X2),X3) = c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_Suc(X1),X2,X3)
% 152.19/152.66 | ~ class_Ring__and__Field_Osemiring__1(X3) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1537_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2820,plain,
% 152.19/152.66 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,X1,hAPP(X0,X2),X3) = c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_Suc(X1),X2,X3)
% 152.19/152.66 | ~ class_Ring__and__Field_Osemiring__1(X3) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_583]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2821,plain,
% 152.19/152.66 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.19/152.66 | c_Nat_Osemiring__1__class_Oof__nat__aux(X1,X2,hAPP(X1,X3),X0) = c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_Suc(X2),X3,X0) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2820]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_581,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1538_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2816,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_581]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2817,plain,
% 152.19/152.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.19/152.66 | 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) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2816]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_578,plain,
% 152.19/152.66 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 152.19/152.66 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1540_2) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2810,plain,
% 152.19/152.66 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 152.19/152.66 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_578]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_575,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.66 | ~ 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)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1543_2) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2804,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.66 | ~ 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)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_575]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2805,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.19/152.66 | ~ 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)
% 152.19/152.66 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2804]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_572,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.66 | ~ 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)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1544_2) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2798,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.66 | ~ 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)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_572]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2799,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.19/152.66 | ~ 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)
% 152.19/152.66 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2798]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_570,plain,
% 152.19/152.66 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 152.19/152.66 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1545_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2794,plain,
% 152.19/152.66 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 152.19/152.66 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_570]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_566,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1546_3) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2786,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_566]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2787,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.19/152.66 | 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2786]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_563,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1548_2) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2780,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_563]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_561,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.66 | ~ 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) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1549_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2776,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.66 | ~ 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) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_561]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2777,plain,
% 152.19/152.66 ( ~ 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)
% 152.19/152.66 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2776]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_555,plain,
% 152.19/152.66 ( 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))
% 152.19/152.66 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1552_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2764,plain,
% 152.19/152.66 ( 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))
% 152.19/152.66 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_555]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2765,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 152.19/152.66 | 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)) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2764]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_553,plain,
% 152.19/152.66 ( 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))
% 152.19/152.66 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1553_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2760,plain,
% 152.19/152.66 ( 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))
% 152.19/152.66 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_553]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2761,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.19/152.66 | 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)) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2760]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_551,plain,
% 152.19/152.66 ( 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))
% 152.19/152.66 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1554_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2756,plain,
% 152.19/152.66 ( 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))
% 152.19/152.66 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_551]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2757,plain,
% 152.19/152.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.19/152.66 | 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)) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2756]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_548,plain,
% 152.19/152.66 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 152.19/152.66 | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 152.19/152.66 | ~ c_Type_Otyping(X0,X2,X4) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1555_2) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2750,plain,
% 152.19/152.66 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 152.19/152.66 | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 152.19/152.66 | ~ c_Type_Otyping(X0,X2,X4) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_548]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_545,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1556_2) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2744,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_545]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_541,plain,
% 152.19/152.66 ( X0 = c_List_Olist_ONil(X1)
% 152.19/152.66 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1558_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2736,plain,
% 152.19/152.66 ( X0 = c_List_Olist_ONil(X1)
% 152.19/152.66 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_541]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2737,plain,
% 152.19/152.66 ( c_List_Omap(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 152.19/152.66 | X1 = c_List_Olist_ONil(X2) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2736]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_539,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1561_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2732,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_539]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_536,plain,
% 152.19/152.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 152.19/152.66 | 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)
% 152.19/152.66 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1562_2) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2726,plain,
% 152.19/152.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 152.19/152.66 | 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)
% 152.19/152.66 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_536]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2727,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.19/152.66 | 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)
% 152.19/152.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2726]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_534,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1563_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2722,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_534]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2723,plain,
% 152.19/152.66 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 152.19/152.66 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2722]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_530,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1569_3) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2714,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_530]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2715,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.19/152.66 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2714]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_526,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1570_3) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2706,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_526]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2707,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.19/152.66 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2706]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_523,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1571_2) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2700,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_523]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2701,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.19/152.66 | 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2700]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_520,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1572_2) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2694,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_520]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2695,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.19/152.66 | 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2694]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_517,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1573_2) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2688,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_517]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2689,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.19/152.66 | 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2688]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_514,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1574_2) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2682,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.19/152.66 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_514]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2683,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.19/152.66 | 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2682]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_509,plain,
% 152.19/152.66 ( ~ 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)
% 152.19/152.66 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.19/152.66 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1576_0) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2672,plain,
% 152.19/152.66 ( ~ 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)
% 152.19/152.66 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.19/152.66 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_509]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_507,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.19/152.66 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.19/152.66 | ~ 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) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1576_2) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2668,plain,
% 152.19/152.66 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.19/152.66 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.19/152.66 | ~ 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) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_507]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2669,plain,
% 152.19/152.66 ( ~ 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)
% 152.19/152.66 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.19/152.66 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2668]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_505,plain,
% 152.19/152.66 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.19/152.66 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1577_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2664,plain,
% 152.19/152.66 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.19/152.66 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_505]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2665,plain,
% 152.19/152.66 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.19/152.66 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2664]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_482,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1586_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2618,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_482]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_480,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1587_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2614,plain,
% 152.19/152.66 ( 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)
% 152.19/152.66 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_480]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_478,plain,
% 152.19/152.66 ( 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))
% 152.19/152.66 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1588_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2610,plain,
% 152.19/152.66 ( 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))
% 152.19/152.66 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_478]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2611,plain,
% 152.19/152.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.19/152.66 | 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)) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2610]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_476,plain,
% 152.19/152.66 ( 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))
% 152.19/152.66 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1589_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2606,plain,
% 152.19/152.66 ( 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))
% 152.19/152.66 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.19/152.66 inference(copy,[status(esa)],[c_476]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2607,plain,
% 152.19/152.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.19/152.66 | 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)) ),
% 152.19/152.66 inference(rewriting,[status(thm)],[c_2606]) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_474,plain,
% 152.19/152.66 ( 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))
% 152.19/152.66 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.19/152.66 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1590_1) ).
% 152.19/152.66
% 152.19/152.66 cnf(c_2602,plain,
% 152.19/152.66 ( 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))
% 152.19/152.67 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_474]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2603,plain,
% 152.19/152.67 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.19/152.67 | 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)) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2602]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_470,plain,
% 152.19/152.67 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1594_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2594,plain,
% 152.19/152.67 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_470]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2595,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2594]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_468,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1595_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2590,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_468]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2591,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2590]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_465,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1599_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2584,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_465]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_463,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1600_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2580,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_463]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2581,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2580]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_461,plain,
% 152.19/152.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 152.19/152.67 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1601_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2576,plain,
% 152.19/152.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 152.19/152.67 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_461]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2577,plain,
% 152.19/152.67 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2576]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_458,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.19/152.67 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1603_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2570,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.19/152.67 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_458]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_455,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.67 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1604_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2564,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.67 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_455]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_452,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1605_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2558,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_452]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_449,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1606_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2552,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_449]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_448,plain,
% 152.19/152.67 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 152.19/152.67 | ~ c_Type_Otyping(X2,X0,X3)
% 152.19/152.67 | c_Type_Otyping(X2,X1,X3) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1607_0) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2550,plain,
% 152.19/152.67 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 152.19/152.67 | ~ c_Type_Otyping(X2,X0,X3)
% 152.19/152.67 | c_Type_Otyping(X2,X1,X3) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_448]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_446,plain,
% 152.19/152.67 ( c_Type_Otyping(X0,X1,X2)
% 152.19/152.67 | ~ c_Type_Otyping(X0,X3,X2)
% 152.19/152.67 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X3),X1)) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1607_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2546,plain,
% 152.19/152.67 ( c_Type_Otyping(X0,X1,X2)
% 152.19/152.67 | ~ c_Type_Otyping(X0,X3,X2)
% 152.19/152.67 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X3),X1)) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_446]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2547,plain,
% 152.19/152.67 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 152.19/152.67 | c_Type_Otyping(X2,X1,X3)
% 152.19/152.67 | ~ c_Type_Otyping(X2,X0,X3) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2546]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_444,plain,
% 152.19/152.67 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1
% 152.19/152.67 | ~ class_Ring__and__Field_Osemiring__1(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1608_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2542,plain,
% 152.19/152.67 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1
% 152.19/152.67 | ~ class_Ring__and__Field_Osemiring__1(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_444]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2543,plain,
% 152.19/152.67 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.19/152.67 | c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,X0) = X2 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2542]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_442,plain,
% 152.19/152.67 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1609_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2538,plain,
% 152.19/152.67 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_442]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2539,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2538]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_440,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1610_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2534,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_440]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2535,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.19/152.67 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2534]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_438,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1613_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2530,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_438]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_436,plain,
% 152.19/152.67 ( 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)
% 152.19/152.67 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1614_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2526,plain,
% 152.19/152.67 ( 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)
% 152.19/152.67 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_436]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2527,plain,
% 152.19/152.67 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.19/152.67 | 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) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2526]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_434,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1615_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2522,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_434]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_432,plain,
% 152.19/152.67 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 152.19/152.67 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1619_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2518,plain,
% 152.19/152.67 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 152.19/152.67 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_432]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_430,plain,
% 152.19/152.67 ( 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)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1620_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2514,plain,
% 152.19/152.67 ( 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)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_430]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_428,plain,
% 152.19/152.67 ( 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)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1621_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2510,plain,
% 152.19/152.67 ( 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)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_428]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_427,plain,
% 152.19/152.67 ( ~ class_Orderings_Opreorder(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1622_0) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2508,plain,
% 152.19/152.67 ( ~ class_Orderings_Opreorder(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_427]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_426,plain,
% 152.19/152.67 ( ~ class_Orderings_Opreorder(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1622_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2506,plain,
% 152.19/152.67 ( ~ class_Orderings_Opreorder(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_426]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_424,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.19/152.67 | ~ class_Orderings_Opreorder(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1622_3) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2502,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.19/152.67 | ~ class_Orderings_Opreorder(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_424]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2503,plain,
% 152.19/152.67 ( ~ class_Orderings_Opreorder(X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2502]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_423,plain,
% 152.19/152.67 ( ~ class_Orderings_Oorder(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1623_0) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2500,plain,
% 152.19/152.67 ( ~ class_Orderings_Oorder(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_423]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_422,plain,
% 152.19/152.67 ( ~ class_Orderings_Oorder(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1623_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2498,plain,
% 152.19/152.67 ( ~ class_Orderings_Oorder(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_422]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_420,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.19/152.67 | ~ class_Orderings_Oorder(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1623_3) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2494,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.19/152.67 | ~ class_Orderings_Oorder(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_420]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2495,plain,
% 152.19/152.67 ( ~ class_Orderings_Oorder(X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2494]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_418,plain,
% 152.19/152.67 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 152.19/152.67 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1)) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1624_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2490,plain,
% 152.19/152.67 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 152.19/152.67 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1)) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_418]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_415,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1625_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2484,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_415]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2485,plain,
% 152.19/152.67 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2484]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_409,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1628_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2472,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_409]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_407,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1629_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2468,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_407]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_404,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1630_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2462,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_404]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_400,plain,
% 152.19/152.67 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 152.19/152.67 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1635_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2454,plain,
% 152.19/152.67 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 152.19/152.67 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_400]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_398,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | 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)) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1636_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2450,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | 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)) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_398]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_396,plain,
% 152.19/152.67 ( 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)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1637_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2446,plain,
% 152.19/152.67 ( 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)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_396]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2447,plain,
% 152.19/152.67 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.19/152.67 | 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) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2446]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_394,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1638_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2442,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 152.19/152.67 inference(copy,[status(esa)],[c_394]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_390,plain,
% 152.19/152.67 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1640_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2434,plain,
% 152.19/152.67 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_390]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2435,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.19/152.67 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2434]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_388,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1641_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2430,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_388]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_385,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1642_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2424,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_385]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2425,plain,
% 152.19/152.67 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2424]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_383,plain,
% 152.19/152.67 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1643_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2420,plain,
% 152.19/152.67 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_383]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2421,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X2),X1) = c_Lambda_OdB_OVar(X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2420]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_380,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1644_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2414,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_380]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2415,plain,
% 152.19/152.67 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2414]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_378,plain,
% 152.19/152.67 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.19/152.67 | X2 = X1 ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1645_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2410,plain,
% 152.19/152.67 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.19/152.67 | X2 = X1 ),
% 152.19/152.67 inference(copy,[status(esa)],[c_378]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_373,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1646_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2400,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_373]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2401,plain,
% 152.19/152.67 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.19/152.67 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2400]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_369,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.19/152.67 | ~ class_Int_Onumber__ring(X2)
% 152.19/152.67 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1647_3) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2392,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.19/152.67 | ~ class_Int_Onumber__ring(X2)
% 152.19/152.67 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_369]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2393,plain,
% 152.19/152.67 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.19/152.67 | ~ class_Int_Onumber__ring(X0)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 152.19/152.67 | X2 = X3 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2392]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_366,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 152.19/152.67 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1648_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2386,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 152.19/152.67 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_366]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2387,plain,
% 152.19/152.67 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 152.19/152.67 | X2 = X3 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2386]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_363,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 152.19/152.67 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1649_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2380,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 152.19/152.67 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_363]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2381,plain,
% 152.19/152.67 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 152.19/152.67 | X1 = X2 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2380]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_357,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.19/152.67 | ~ class_Orderings_Opreorder(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1651_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2368,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.19/152.67 | ~ class_Orderings_Opreorder(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_357]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2369,plain,
% 152.19/152.67 ( ~ class_Orderings_Opreorder(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2368]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_354,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.19/152.67 | ~ class_Orderings_Olinorder(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1652_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2362,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.19/152.67 | ~ class_Orderings_Olinorder(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_354]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2363,plain,
% 152.19/152.67 ( ~ class_Orderings_Olinorder(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2362]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_351,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.19/152.67 | ~ class_Orderings_Oorder(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1653_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2356,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.19/152.67 | ~ class_Orderings_Oorder(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_351]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2357,plain,
% 152.19/152.67 ( ~ class_Orderings_Oorder(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2356]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_349,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1654_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2352,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_349]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_347,plain,
% 152.19/152.67 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.67 | X1 = X0
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1655_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2348,plain,
% 152.19/152.67 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.67 | X1 = X0
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_347]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2349,plain,
% 152.19/152.67 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.67 | X1 = X0 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2348]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_344,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1656_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2342,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_344]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2343,plain,
% 152.19/152.67 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2342]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_341,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 152.19/152.67 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1657_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2336,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 152.19/152.67 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_341]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2337,plain,
% 152.19/152.67 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 152.19/152.67 | X1 = X3 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2336]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_338,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.19/152.67 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1658_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2330,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.19/152.67 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_338]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2331,plain,
% 152.19/152.67 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 152.19/152.67 | X2 = X3 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2330]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_335,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.19/152.67 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1659_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2324,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.19/152.67 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_335]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2325,plain,
% 152.19/152.67 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 152.19/152.67 | X2 = X3 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2324]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_333,plain,
% 152.19/152.67 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.67 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1660_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2320,plain,
% 152.19/152.67 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 152.19/152.67 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_333]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2321,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 152.19/152.67 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2320]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_328,plain,
% 152.19/152.67 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 152.19/152.67 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1662_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2310,plain,
% 152.19/152.67 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 152.19/152.67 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_328]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2311,plain,
% 152.19/152.67 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2310]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_326,plain,
% 152.19/152.67 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 152.19/152.67 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1663_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2306,plain,
% 152.19/152.67 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 152.19/152.67 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_326]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2307,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 152.19/152.67 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2306]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_324,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1666_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2302,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_324]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2303,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2302]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_320,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1669_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2294,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_320]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_314,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | X1 = X0
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1671_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2282,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | X1 = X0
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_314]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2283,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | X1 = X0 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2282]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_311,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | X0 = X1
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1672_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2276,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | X0 = X1
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_311]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2277,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | X0 = X1 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2276]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_309,plain,
% 152.19/152.67 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1673_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2272,plain,
% 152.19/152.67 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_309]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2273,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2272]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_302,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1676_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2258,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_302]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2259,plain,
% 152.19/152.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 152.19/152.67 | X0 = X2 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2258]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_300,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1677_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2254,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_300]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2255,plain,
% 152.19/152.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 152.19/152.67 | X1 = X2 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2254]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_298,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1678_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2250,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_298]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2251,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2250]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_296,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1684_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2246,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_296]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2247,plain,
% 152.19/152.67 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2246]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_294,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1685_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2242,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_294]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_292,plain,
% 152.19/152.67 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1686_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2238,plain,
% 152.19/152.67 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_292]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2239,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2238]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_276,plain,
% 152.19/152.67 ( ~ class_Orderings_Olinorder(X0)
% 152.19/152.67 | X1 = X2
% 152.19/152.67 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1691_0) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2206,plain,
% 152.19/152.67 ( ~ class_Orderings_Olinorder(X0)
% 152.19/152.67 | X1 = X2
% 152.19/152.67 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_276]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2207,plain,
% 152.19/152.67 ( ~ class_Orderings_Olinorder(X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.19/152.67 | X2 = X1 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2206]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_273,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.19/152.67 | X0 = X1
% 152.19/152.67 | ~ class_Orderings_Olinorder(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1691_3) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2200,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.19/152.67 | X0 = X1
% 152.19/152.67 | ~ class_Orderings_Olinorder(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_273]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2201,plain,
% 152.19/152.67 ( ~ class_Orderings_Olinorder(X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.19/152.67 | X1 = X2 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2200]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_267,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1693_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2188,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_267]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2189,plain,
% 152.19/152.67 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 152.19/152.67 | X0 = X2 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2188]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_265,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1694_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2184,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_265]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2185,plain,
% 152.19/152.67 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 152.19/152.67 | X1 = X3 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2184]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_263,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_Type_Otype_OFun,X0),X2) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1695_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2180,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_Type_Otype_OFun,X0),X2) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_263]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2181,plain,
% 152.19/152.67 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 152.19/152.67 | X0 = X2 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2180]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_261,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_Type_Otype_OFun,X2),X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1696_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2176,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | hAPP(hAPP(c_Type_Otype_OFun,X2),X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_261]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2177,plain,
% 152.19/152.67 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 152.19/152.67 | X1 = X3 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2176]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_259,plain,
% 152.19/152.67 ( 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)
% 152.19/152.67 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1698_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2172,plain,
% 152.19/152.67 ( 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)
% 152.19/152.67 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_259]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2173,plain,
% 152.19/152.67 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.19/152.67 | 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) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2172]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_257,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1699_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2168,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_257]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2169,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2168]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_253,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1701_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2160,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.19/152.67 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_253]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2161,plain,
% 152.19/152.67 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.19/152.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2160]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_249,plain,
% 152.19/152.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 152.19/152.67 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1703_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2152,plain,
% 152.19/152.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 152.19/152.67 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_249]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2153,plain,
% 152.19/152.67 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2152]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_247,plain,
% 152.19/152.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 152.19/152.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1704_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2148,plain,
% 152.19/152.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 152.19/152.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_247]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2149,plain,
% 152.19/152.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2148]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_245,plain,
% 152.19/152.67 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1706_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2144,plain,
% 152.19/152.67 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_245]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2145,plain,
% 152.19/152.67 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2144]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_240,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | X1 = X0
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1709_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2134,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | X1 = X0
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_240]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2135,plain,
% 152.19/152.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.19/152.67 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.19/152.67 | X1 = X0 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2134]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_235,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.19/152.67 | ~ class_Int_Onumber__ring(X2)
% 152.19/152.67 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1710_3) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2124,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.19/152.67 | ~ class_Int_Onumber__ring(X2)
% 152.19/152.67 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_235]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2125,plain,
% 152.19/152.67 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.19/152.67 | ~ class_Int_Onumber__ring(X0)
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.19/152.67 | X1 = X2 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2124]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_229,plain,
% 152.19/152.67 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 152.19/152.67 | ~ class_Int_Onumber__ring(X1)
% 152.19/152.67 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1712_3) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2112,plain,
% 152.19/152.67 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 152.19/152.67 | ~ class_Int_Onumber__ring(X1)
% 152.19/152.67 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_229]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2113,plain,
% 152.19/152.67 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.19/152.67 | ~ class_Int_Onumber__ring(X0)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 152.19/152.67 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2112]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_226,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.19/152.67 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1713_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2106,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.19/152.67 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_226]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2107,plain,
% 152.19/152.67 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.19/152.67 | X1 = X2 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2106]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_223,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.19/152.67 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1714_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2100,plain,
% 152.19/152.67 ( X0 = X1
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.19/152.67 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_223]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2101,plain,
% 152.19/152.67 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.19/152.67 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.19/152.67 | X1 = X2 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2100]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_220,plain,
% 152.19/152.67 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 152.19/152.67 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1715_2) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2094,plain,
% 152.19/152.67 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 152.19/152.67 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_220]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2095,plain,
% 152.19/152.67 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 152.19/152.67 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2094]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_200,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1722_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2054,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_200]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2055,plain,
% 152.19/152.67 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2054]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_198,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1723_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2050,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_198]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2051,plain,
% 152.19/152.67 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2050]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_196,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1724_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2046,plain,
% 152.19/152.67 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_196]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2047,plain,
% 152.19/152.67 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2046]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_188,plain,
% 152.19/152.67 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1731_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2030,plain,
% 152.19/152.67 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_188]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2031,plain,
% 152.19/152.67 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2030]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_186,plain,
% 152.19/152.67 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 152.19/152.67 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1735_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2026,plain,
% 152.19/152.67 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 152.19/152.67 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_186]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_184,plain,
% 152.19/152.67 ( 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)
% 152.19/152.67 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.19/152.67 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1736_1) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2022,plain,
% 152.19/152.67 ( 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)
% 152.19/152.67 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.19/152.67 inference(copy,[status(esa)],[c_184]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_2023,plain,
% 152.19/152.67 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.19/152.67 | 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) ),
% 152.19/152.67 inference(rewriting,[status(thm)],[c_2022]) ).
% 152.19/152.67
% 152.19/152.67 cnf(c_182,plain,
% 152.19/152.67 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1739_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_2018,plain,
% 152.19/152.68 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_182]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_2019,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.68 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_2018]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_180,plain,
% 152.19/152.68 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1740_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_2014,plain,
% 152.19/152.68 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_180]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_2015,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.68 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_2014]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_176,plain,
% 152.19/152.68 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1742_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_2006,plain,
% 152.19/152.68 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 152.19/152.68 inference(copy,[status(esa)],[c_176]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_2007,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 152.19/152.68 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_2006]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_174,plain,
% 152.19/152.68 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 152.19/152.68 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1743_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_2002,plain,
% 152.19/152.68 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 152.19/152.68 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_174]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_2003,plain,
% 152.19/152.68 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.19/152.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_2002]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_171,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.19/152.68 | ~ class_Int_Onumber__ring(X0)
% 152.19/152.68 | ~ class_Ring__and__Field_Oidom(X0) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1744_2) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1996,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.19/152.68 | ~ class_Int_Onumber__ring(X0)
% 152.19/152.68 | ~ class_Ring__and__Field_Oidom(X0) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_171]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1997,plain,
% 152.19/152.68 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.19/152.68 | ~ class_Int_Onumber__ring(X0)
% 152.19/152.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1996]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_168,plain,
% 152.19/152.68 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.19/152.68 | ~ class_Int_Onumber__ring(X1)
% 152.19/152.68 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1745_2) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1990,plain,
% 152.19/152.68 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.19/152.68 | ~ class_Int_Onumber__ring(X1)
% 152.19/152.68 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_168]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1991,plain,
% 152.19/152.68 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.19/152.68 | ~ class_Int_Onumber__ring(X0)
% 152.19/152.68 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1990]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_164,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.19/152.68 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1747_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1982,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.19/152.68 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_164]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1983,plain,
% 152.19/152.68 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.19/152.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1982]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_162,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.19/152.68 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1748_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1978,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.19/152.68 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_162]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1979,plain,
% 152.19/152.68 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.19/152.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1978]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_160,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.19/152.68 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1749_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1974,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.19/152.68 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_160]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1975,plain,
% 152.19/152.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.19/152.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1974]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_158,plain,
% 152.19/152.68 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.19/152.68 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1752_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1970,plain,
% 152.19/152.68 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.19/152.68 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_158]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1971,plain,
% 152.19/152.68 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.19/152.68 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1970]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_156,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.19/152.68 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1754_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1966,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.19/152.68 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_156]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1967,plain,
% 152.19/152.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.19/152.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1966]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_154,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.19/152.68 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1755_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1962,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.19/152.68 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_154]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1963,plain,
% 152.19/152.68 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.19/152.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1962]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_152,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.19/152.68 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1756_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1958,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.19/152.68 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_152]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1959,plain,
% 152.19/152.68 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.19/152.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1958]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_150,plain,
% 152.19/152.68 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.19/152.68 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1757_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1954,plain,
% 152.19/152.68 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.19/152.68 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_150]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1955,plain,
% 152.19/152.68 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.19/152.68 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1954]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_146,plain,
% 152.19/152.68 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.19/152.68 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1759_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1946,plain,
% 152.19/152.68 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.19/152.68 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_146]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1947,plain,
% 152.19/152.68 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.19/152.68 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1946]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_144,plain,
% 152.19/152.68 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1768_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1942,plain,
% 152.19/152.68 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.19/152.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_144]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1943,plain,
% 152.19/152.68 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.19/152.68 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1942]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_141,plain,
% 152.19/152.68 ( X0 = X1
% 152.19/152.68 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 152.19/152.68 | ~ class_Nat_Osemiring__char__0(X2) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1778_2) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1936,plain,
% 152.19/152.68 ( X0 = X1
% 152.19/152.68 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 152.19/152.68 | ~ class_Nat_Osemiring__char__0(X2) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_141]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1937,plain,
% 152.19/152.68 ( ~ class_Nat_Osemiring__char__0(X0)
% 152.19/152.68 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 152.19/152.68 | X1 = X2 ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1936]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_139,plain,
% 152.19/152.68 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1786_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1932,plain,
% 152.19/152.68 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_139]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_137,plain,
% 152.19/152.68 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 152.19/152.68 | ~ class_Orderings_Opreorder(X1) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1787_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1928,plain,
% 152.19/152.68 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 152.19/152.68 | ~ class_Orderings_Opreorder(X1) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_137]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_135,plain,
% 152.19/152.68 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.19/152.68 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1788_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1924,plain,
% 152.19/152.68 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.19/152.68 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_135]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1925,plain,
% 152.19/152.68 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.19/152.68 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1924]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_133,plain,
% 152.19/152.68 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 152.19/152.68 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1789_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1920,plain,
% 152.19/152.68 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 152.19/152.68 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_133]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1921,plain,
% 152.19/152.68 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.19/152.68 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1920]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_129,plain,
% 152.19/152.68 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.19/152.68 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1793_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1912,plain,
% 152.19/152.68 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.19/152.68 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_129]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1913,plain,
% 152.19/152.68 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 152.19/152.68 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1912]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_127,plain,
% 152.19/152.68 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1794_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1908,plain,
% 152.19/152.68 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_127]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1909,plain,
% 152.19/152.68 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1908]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_125,plain,
% 152.19/152.68 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1795_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1904,plain,
% 152.19/152.68 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_125]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1905,plain,
% 152.19/152.68 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1904]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_121,plain,
% 152.19/152.68 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1797_1) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1896,plain,
% 152.19/152.68 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_121]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1897,plain,
% 152.19/152.68 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 152.19/152.68 inference(rewriting,[status(thm)],[c_1896]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_120,plain,
% 152.19/152.68 ( 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) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1486_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1894,plain,
% 152.19/152.68 ( 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) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_120]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_119,plain,
% 152.19/152.68 ( 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) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1500_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1892,plain,
% 152.19/152.68 ( 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) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_119]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_118,plain,
% 152.19/152.68 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_ONil(X1),X2,X1) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1559_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1890,plain,
% 152.19/152.68 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_ONil(X1),X2,X1) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_118]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_117,plain,
% 152.19/152.68 ( ~ c_ListOrder_Ostep1(X0,X1,c_List_Olist_ONil(X2),X2) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1560_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1888,plain,
% 152.19/152.68 ( ~ c_ListOrder_Ostep1(X0,X1,c_List_Olist_ONil(X2),X2) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_117]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_116,plain,
% 152.19/152.68 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1631_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1886,plain,
% 152.19/152.68 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_116]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_115,plain,
% 152.19/152.68 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1632_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1884,plain,
% 152.19/152.68 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_115]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_114,plain,
% 152.19/152.68 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X0)),X1)) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1665_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1882,plain,
% 152.19/152.68 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X0)),X1)) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_114]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_113,plain,
% 152.19/152.68 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1725_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1880,plain,
% 152.19/152.68 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_113]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_111,plain,
% 152.19/152.68 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1730_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1876,plain,
% 152.19/152.68 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_111]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_109,plain,
% 152.19/152.68 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1734_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1872,plain,
% 152.19/152.68 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_109]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_108,plain,
% 152.19/152.68 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1760_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1870,plain,
% 152.19/152.68 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_108]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_107,plain,
% 152.19/152.68 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1761_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1868,plain,
% 152.19/152.68 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_107]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_106,plain,
% 152.19/152.68 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1762_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1866,plain,
% 152.19/152.68 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_106]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_105,plain,
% 152.19/152.68 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1763_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1864,plain,
% 152.19/152.68 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_105]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_104,plain,
% 152.19/152.68 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1798_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1862,plain,
% 152.19/152.68 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_104]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_103,plain,
% 152.19/152.68 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1799_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1860,plain,
% 152.19/152.68 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_103]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_101,plain,
% 152.19/152.68 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1801_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1856,plain,
% 152.19/152.68 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_101]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_99,plain,
% 152.19/152.68 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1803_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1852,plain,
% 152.19/152.68 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_99]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_97,plain,
% 152.19/152.68 ( c_Suc(X0) != X0 ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1806_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1848,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_97]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_96,plain,
% 152.19/152.68 ( v_i____ != v_n____ ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1824_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1846,plain,
% 152.19/152.68 ( v_i____ != v_n____ ),
% 152.19/152.68 inference(copy,[status(esa)],[c_96]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_92,plain,
% 152.19/152.68 ( 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____) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1492_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1840,plain,
% 152.19/152.68 ( 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____) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_92]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_91,plain,
% 152.19/152.68 ( c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,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_Ha______) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1493_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1838,plain,
% 152.19/152.68 ( c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,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_Ha______) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_91]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_81,plain,
% 152.19/152.68 ( 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)))) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1525_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1827,plain,
% 152.19/152.68 ( 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)))) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_81]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_68,plain,
% 152.19/152.68 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1591_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1813,plain,
% 152.19/152.68 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_68]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_63,plain,
% 152.19/152.68 ( 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)) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1602_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1807,plain,
% 152.19/152.68 ( 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)) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_63]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_59,plain,
% 152.19/152.68 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1617_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1801,plain,
% 152.19/152.68 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_59]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_58,plain,
% 152.19/152.68 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1618_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1799,plain,
% 152.19/152.68 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_58]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_56,plain,
% 152.19/152.68 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1664_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1796,plain,
% 152.19/152.68 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_56]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_46,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1726_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1785,plain,
% 152.19/152.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_46]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_45,plain,
% 152.19/152.68 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1732_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1783,plain,
% 152.19/152.68 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_45]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_37,plain,
% 152.19/152.68 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1766_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1772,plain,
% 152.19/152.68 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_37]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_36,plain,
% 152.19/152.68 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1767_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1770,plain,
% 152.19/152.68 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_36]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_34,plain,
% 152.19/152.68 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1770_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1766,plain,
% 152.19/152.68 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_34]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_27,plain,
% 152.19/152.68 ( c_fequal(X0,X0,X1) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1777_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1758,plain,
% 152.19/152.68 ( c_fequal(X0,X0,X1) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_27]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_24,plain,
% 152.19/152.68 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1781_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1754,plain,
% 152.19/152.68 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_24]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_21,plain,
% 152.19/152.68 ( c_Type_Otyping(v_ea______,v_ua______,v_T____) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1784_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1750,plain,
% 152.19/152.68 ( c_Type_Otyping(v_ea______,v_ua______,v_T____) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_21]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_20,plain,
% 152.19/152.68 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1785_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1748,plain,
% 152.19/152.68 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_20]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_19,plain,
% 152.19/152.68 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1790_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1746,plain,
% 152.19/152.68 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_19]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_18,plain,
% 152.19/152.68 ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1791_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1744,plain,
% 152.19/152.68 ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_18]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_16,plain,
% 152.19/152.68 ( class_Orderings_Oorder(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1807_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1741,plain,
% 152.19/152.68 ( class_Orderings_Oorder(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_16]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_15,plain,
% 152.19/152.68 ( class_Orderings_Olinorder(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1808_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1739,plain,
% 152.19/152.68 ( class_Orderings_Olinorder(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_15]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_14,plain,
% 152.19/152.68 ( class_Orderings_Opreorder(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1809_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1737,plain,
% 152.19/152.68 ( class_Orderings_Opreorder(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_14]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_13,plain,
% 152.19/152.68 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1810_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1735,plain,
% 152.19/152.68 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_13]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_12,plain,
% 152.19/152.68 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1811_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1733,plain,
% 152.19/152.68 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_12]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_11,plain,
% 152.19/152.68 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1812_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1731,plain,
% 152.19/152.68 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_11]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_10,plain,
% 152.19/152.68 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1813_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1729,plain,
% 152.19/152.68 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_10]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_9,plain,
% 152.19/152.68 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1814_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1727,plain,
% 152.19/152.68 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_9]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_8,plain,
% 152.19/152.68 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1815_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1725,plain,
% 152.19/152.68 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_8]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_7,plain,
% 152.19/152.68 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1816_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1723,plain,
% 152.19/152.68 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_7]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_6,plain,
% 152.19/152.68 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1817_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1721,plain,
% 152.19/152.68 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_6]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_5,plain,
% 152.19/152.68 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1818_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1719,plain,
% 152.19/152.68 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_5]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_4,plain,
% 152.19/152.68 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1819_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1717,plain,
% 152.19/152.68 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_4]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_3,plain,
% 152.19/152.68 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1820_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1715,plain,
% 152.19/152.68 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_3]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_2,plain,
% 152.19/152.68 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1821_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1713,plain,
% 152.19/152.68 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_2]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1,plain,
% 152.19/152.68 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1822_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1711,plain,
% 152.19/152.68 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_1]) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_0,plain,
% 152.19/152.68 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 152.19/152.68 file('/export/starexec/sandbox/tmp/iprover_modulo_384d77.p', c_0_1823_0) ).
% 152.19/152.68
% 152.19/152.68 cnf(c_1709,plain,
% 152.19/152.68 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 152.19/152.68 inference(copy,[status(esa)],[c_0]) ).
% 152.19/152.68
% 152.19/152.68
% 152.19/152.68
% 152.19/152.68 % ------ Statistics
% 152.19/152.68
% 152.19/152.68 % ------ General
% 152.19/152.68
% 152.19/152.68 % num_of_input_clauses: 722
% 152.19/152.68 % num_of_input_neg_conjectures: 2
% 152.19/152.68 % num_of_splits: 0
% 152.19/152.68 % num_of_split_atoms: 0
% 152.19/152.68 % num_of_sem_filtered_clauses: 0
% 152.19/152.68 % num_of_subtypes: 0
% 152.19/152.68 % monotx_restored_types: 0
% 152.19/152.68 % sat_num_of_epr_types: 0
% 152.19/152.68 % sat_num_of_non_cyclic_types: 0
% 152.19/152.68 % sat_guarded_non_collapsed_types: 0
% 152.19/152.68 % is_epr: 0
% 152.19/152.68 % is_horn: 0
% 152.19/152.68 % has_eq: 1
% 152.19/152.68 % num_pure_diseq_elim: 0
% 152.19/152.68 % simp_replaced_by: 0
% 152.19/152.68 % res_preprocessed: 2
% 152.19/152.68 % prep_upred: 0
% 152.19/152.68 % prep_unflattend: 0
% 152.19/152.68 % pred_elim_cands: 0
% 152.19/152.68 % pred_elim: 0
% 152.19/152.68 % pred_elim_cl: 0
% 152.19/152.68 % pred_elim_cycles: 0
% 152.19/152.68 % forced_gc_time: 0
% 152.19/152.68 % gc_basic_clause_elim: 0
% 152.19/152.68 % parsing_time: 0.02
% 152.19/152.68 % sem_filter_time: 0.
% 152.19/152.68 % pred_elim_time: 0.
% 152.19/152.68 % out_proof_time: 0.
% 152.19/152.68 % monotx_time: 0.
% 152.19/152.68 % subtype_inf_time: 0.
% 152.19/152.68 % unif_index_cands_time: 0.
% 152.19/152.68 % unif_index_add_time: 0.
% 152.19/152.68 % total_time: 2.093
% 152.19/152.68 % num_of_symbols: 102
% 152.19/152.68 % num_of_terms: 2209
% 152.19/152.68
% 152.19/152.68 % ------ Propositional Solver
% 152.19/152.68
% 152.19/152.68 % prop_solver_calls: 1
% 152.19/152.68 % prop_fast_solver_calls: 3
% 152.19/152.68 % prop_num_of_clauses: 744
% 152.19/152.68 % prop_preprocess_simplified: 2088
% 152.19/152.68 % prop_fo_subsumed: 0
% 152.19/152.68 % prop_solver_time: 0.
% 152.19/152.68 % prop_fast_solver_time: 0.
% 152.19/152.68 % prop_unsat_core_time: 0.
% 152.19/152.68
% 152.19/152.68 % ------ QBF
% 152.19/152.68
% 152.19/152.68 % qbf_q_res: 0
% 152.19/152.68 % qbf_num_tautologies: 0
% 152.19/152.68 % qbf_prep_cycles: 0
% 152.19/152.68
% 152.19/152.68 % ------ BMC1
% 152.19/152.68
% 152.19/152.68 % bmc1_current_bound: -1
% 152.19/152.68 % bmc1_last_solved_bound: -1
% 152.19/152.68 % bmc1_unsat_core_size: -1
% 152.19/152.68 % bmc1_unsat_core_parents_size: -1
% 152.19/152.68 % bmc1_merge_next_fun: 0
% 152.19/152.68 % bmc1_unsat_core_clauses_time: 0.
% 152.19/152.68
% 152.19/152.68 % ------ Instantiation
% 152.19/152.68
% 152.19/152.68 % inst_num_of_clauses: 645
% 152.19/152.68 % inst_num_in_passive: 0
% 152.19/152.68 % inst_num_in_active: 0
% 152.19/152.68 % inst_num_in_unprocessed: 723
% 152.19/152.68 % inst_num_of_loops: 0
% 152.19/152.68 % inst_num_of_learning_restarts: 0
% 152.19/152.68 % inst_num_moves_active_passive: 0
% 152.19/152.68 % inst_lit_activity: 0
% 152.19/152.68 % inst_lit_activity_moves: 0
% 152.19/152.68 % inst_num_tautologies: 0
% 152.19/152.68 % inst_num_prop_implied: 0
% 152.19/152.68 % inst_num_existing_simplified: 0
% 152.19/152.68 % inst_num_eq_res_simplified: 0
% 152.19/152.68 % inst_num_child_elim: 0
% 152.19/152.68 % inst_num_of_dismatching_blockings: 0
% 152.19/152.68 % inst_num_of_non_proper_insts: 0
% 152.19/152.68 % inst_num_of_duplicates: 0
% 152.19/152.68 % inst_inst_num_from_inst_to_res: 0
% 152.19/152.68 % inst_dismatching_checking_time: 0.
% 152.19/152.68
% 152.19/152.68 % ------ Resolution
% 152.19/152.68
% 152.19/152.68 % res_num_of_clauses: 688
% 152.19/152.68 % res_num_in_passive: 0
% 152.19/152.68 % res_num_in_active: 300
% 152.19/152.68 % res_num_of_loops: 3
% 152.19/152.68 % res_forward_subset_subsumed: 368
% 152.19/152.68 % res_backward_subset_subsumed: 0
% 152.19/152.68 % res_forward_subsumed: 0
% 152.19/152.68 % res_backward_subsumed: 0
% 152.19/152.68 % res_forward_subsumption_resolution: 0
% 152.19/152.68 % res_backward_subsumption_resolution: 1
% 152.19/152.68 % res_clause_to_clause_subsumption: 1
% 152.19/152.68 % res_orphan_elimination: 0
% 152.19/152.68 % res_tautology_del: 0
% 152.19/152.68 % res_num_eq_res_simplified: 0
% 152.19/152.68 % res_num_sel_changes: 0
% 152.19/152.68 % res_moves_from_active_to_pass: 0
% 152.19/152.68
% 152.19/152.68 % Status Unknown
% 152.19/152.68 % Last status :
% 152.19/152.68 % SZS status Unknown
%------------------------------------------------------------------------------