TSTP Solution File: LCL794-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : LCL794-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 11:39:49 EDT 2022

% Result   : Unknown 153.25s 153.49s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL794-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul  4 10:12:04 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.19/0.47  % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.47  % Orientation found
% 0.19/0.47  % 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_8e1690.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_46a040.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_23487f | grep -v "SZS"
% 0.19/0.49  
% 0.19/0.49  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.49  
% 0.19/0.49  % 
% 0.19/0.49  % ------  iProver source info 
% 0.19/0.49  
% 0.19/0.49  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.49  % git: non_committed_changes: true
% 0.19/0.49  % git: last_make_outside_of_git: true
% 0.19/0.49  
% 0.19/0.49  % 
% 0.19/0.49  % ------ Input Options
% 0.19/0.49  
% 0.19/0.49  % --out_options                         all
% 0.19/0.49  % --tptp_safe_out                       true
% 0.19/0.49  % --problem_path                        ""
% 0.19/0.49  % --include_path                        ""
% 0.19/0.49  % --clausifier                          .//eprover
% 0.19/0.49  % --clausifier_options                  --tstp-format  
% 0.19/0.49  % --stdin                               false
% 0.19/0.49  % --dbg_backtrace                       false
% 0.19/0.49  % --dbg_dump_prop_clauses               false
% 0.19/0.49  % --dbg_dump_prop_clauses_file          -
% 0.19/0.49  % --dbg_out_stat                        false
% 0.19/0.49  
% 0.19/0.49  % ------ General Options
% 0.19/0.49  
% 0.19/0.49  % --fof                                 false
% 0.19/0.49  % --time_out_real                       150.
% 0.19/0.49  % --time_out_prep_mult                  0.2
% 0.19/0.49  % --time_out_virtual                    -1.
% 0.19/0.49  % --schedule                            none
% 0.19/0.49  % --ground_splitting                    input
% 0.19/0.49  % --splitting_nvd                       16
% 0.19/0.49  % --non_eq_to_eq                        false
% 0.19/0.49  % --prep_gs_sim                         true
% 0.19/0.49  % --prep_unflatten                      false
% 0.19/0.49  % --prep_res_sim                        true
% 0.19/0.49  % --prep_upred                          true
% 0.19/0.49  % --res_sim_input                       true
% 0.19/0.49  % --clause_weak_htbl                    true
% 0.19/0.49  % --gc_record_bc_elim                   false
% 0.19/0.49  % --symbol_type_check                   false
% 0.19/0.49  % --clausify_out                        false
% 0.19/0.49  % --large_theory_mode                   false
% 0.19/0.49  % --prep_sem_filter                     none
% 0.19/0.49  % --prep_sem_filter_out                 false
% 0.19/0.49  % --preprocessed_out                    false
% 0.19/0.49  % --sub_typing                          false
% 0.19/0.49  % --brand_transform                     false
% 0.19/0.49  % --pure_diseq_elim                     true
% 0.19/0.49  % --min_unsat_core                      false
% 0.19/0.49  % --pred_elim                           true
% 0.19/0.49  % --add_important_lit                   false
% 0.19/0.49  % --soft_assumptions                    false
% 0.19/0.49  % --reset_solvers                       false
% 0.19/0.49  % --bc_imp_inh                          []
% 0.19/0.49  % --conj_cone_tolerance                 1.5
% 0.19/0.49  % --prolific_symb_bound                 500
% 0.19/0.49  % --lt_threshold                        2000
% 0.19/0.49  
% 0.19/0.49  % ------ SAT Options
% 0.19/0.49  
% 0.19/0.49  % --sat_mode                            false
% 0.19/0.49  % --sat_fm_restart_options              ""
% 0.19/0.49  % --sat_gr_def                          false
% 0.19/0.49  % --sat_epr_types                       true
% 0.19/0.49  % --sat_non_cyclic_types                false
% 0.19/0.49  % --sat_finite_models                   false
% 0.19/0.49  % --sat_fm_lemmas                       false
% 0.19/0.49  % --sat_fm_prep                         false
% 0.19/0.49  % --sat_fm_uc_incr                      true
% 0.19/0.49  % --sat_out_model                       small
% 0.19/0.49  % --sat_out_clauses                     false
% 0.19/0.49  
% 0.19/0.49  % ------ QBF Options
% 0.19/0.49  
% 0.19/0.49  % --qbf_mode                            false
% 0.19/0.49  % --qbf_elim_univ                       true
% 0.19/0.49  % --qbf_sk_in                           true
% 0.19/0.49  % --qbf_pred_elim                       true
% 0.19/0.49  % --qbf_split                           32
% 0.19/0.49  
% 0.19/0.49  % ------ BMC1 Options
% 0.19/0.49  
% 0.19/0.49  % --bmc1_incremental                    false
% 0.19/0.49  % --bmc1_axioms                         reachable_all
% 0.19/0.49  % --bmc1_min_bound                      0
% 0.19/0.49  % --bmc1_max_bound                      -1
% 0.19/0.49  % --bmc1_max_bound_default              -1
% 0.19/0.49  % --bmc1_symbol_reachability            true
% 0.19/0.49  % --bmc1_property_lemmas                false
% 0.19/0.49  % --bmc1_k_induction                    false
% 0.19/0.49  % --bmc1_non_equiv_states               false
% 0.19/0.49  % --bmc1_deadlock                       false
% 0.19/0.49  % --bmc1_ucm                            false
% 0.19/0.49  % --bmc1_add_unsat_core                 none
% 0.19/0.49  % --bmc1_unsat_core_children            false
% 0.19/0.49  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.49  % --bmc1_out_stat                       full
% 0.19/0.49  % --bmc1_ground_init                    false
% 0.19/0.49  % --bmc1_pre_inst_next_state            false
% 0.19/0.49  % --bmc1_pre_inst_state                 false
% 0.19/0.49  % --bmc1_pre_inst_reach_state           false
% 0.19/0.49  % --bmc1_out_unsat_core                 false
% 0.19/0.49  % --bmc1_aig_witness_out                false
% 0.19/0.49  % --bmc1_verbose                        false
% 0.19/0.49  % --bmc1_dump_clauses_tptp              false
% 150.30/150.49  % --bmc1_dump_unsat_core_tptp           false
% 150.30/150.49  % --bmc1_dump_file                      -
% 150.30/150.49  % --bmc1_ucm_expand_uc_limit            128
% 150.30/150.49  % --bmc1_ucm_n_expand_iterations        6
% 150.30/150.49  % --bmc1_ucm_extend_mode                1
% 150.30/150.49  % --bmc1_ucm_init_mode                  2
% 150.30/150.49  % --bmc1_ucm_cone_mode                  none
% 150.30/150.49  % --bmc1_ucm_reduced_relation_type      0
% 150.30/150.49  % --bmc1_ucm_relax_model                4
% 150.30/150.49  % --bmc1_ucm_full_tr_after_sat          true
% 150.30/150.49  % --bmc1_ucm_expand_neg_assumptions     false
% 150.30/150.49  % --bmc1_ucm_layered_model              none
% 150.30/150.49  % --bmc1_ucm_max_lemma_size             10
% 150.30/150.49  
% 150.30/150.49  % ------ AIG Options
% 150.30/150.49  
% 150.30/150.49  % --aig_mode                            false
% 150.30/150.49  
% 150.30/150.49  % ------ Instantiation Options
% 150.30/150.49  
% 150.30/150.49  % --instantiation_flag                  true
% 150.30/150.49  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.30/150.49  % --inst_solver_per_active              750
% 150.30/150.49  % --inst_solver_calls_frac              0.5
% 150.30/150.49  % --inst_passive_queue_type             priority_queues
% 150.30/150.49  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.30/150.49  % --inst_passive_queues_freq            [25;2]
% 150.30/150.49  % --inst_dismatching                    true
% 150.30/150.49  % --inst_eager_unprocessed_to_passive   true
% 150.30/150.49  % --inst_prop_sim_given                 true
% 150.30/150.49  % --inst_prop_sim_new                   false
% 150.30/150.49  % --inst_orphan_elimination             true
% 150.30/150.49  % --inst_learning_loop_flag             true
% 150.30/150.49  % --inst_learning_start                 3000
% 150.30/150.49  % --inst_learning_factor                2
% 150.30/150.49  % --inst_start_prop_sim_after_learn     3
% 150.30/150.49  % --inst_sel_renew                      solver
% 150.30/150.49  % --inst_lit_activity_flag              true
% 150.30/150.49  % --inst_out_proof                      true
% 150.30/150.49  
% 150.30/150.49  % ------ Resolution Options
% 150.30/150.49  
% 150.30/150.49  % --resolution_flag                     true
% 150.30/150.49  % --res_lit_sel                         kbo_max
% 150.30/150.49  % --res_to_prop_solver                  none
% 150.30/150.49  % --res_prop_simpl_new                  false
% 150.30/150.49  % --res_prop_simpl_given                false
% 150.30/150.49  % --res_passive_queue_type              priority_queues
% 150.30/150.49  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.30/150.49  % --res_passive_queues_freq             [15;5]
% 150.30/150.49  % --res_forward_subs                    full
% 150.30/150.49  % --res_backward_subs                   full
% 150.30/150.49  % --res_forward_subs_resolution         true
% 150.30/150.49  % --res_backward_subs_resolution        true
% 150.30/150.49  % --res_orphan_elimination              false
% 150.30/150.49  % --res_time_limit                      1000.
% 150.30/150.49  % --res_out_proof                       true
% 150.30/150.49  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_8e1690.s
% 150.30/150.49  % --modulo                              true
% 150.30/150.49  
% 150.30/150.49  % ------ Combination Options
% 150.30/150.49  
% 150.30/150.49  % --comb_res_mult                       1000
% 150.30/150.49  % --comb_inst_mult                      300
% 150.30/150.49  % ------ 
% 150.30/150.49  
% 150.30/150.49  % ------ Parsing...% successful
% 150.30/150.49  
% 150.30/150.49  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 150.30/150.49  
% 150.30/150.49  % ------ Proving...
% 150.30/150.49  % ------ Problem Properties 
% 150.30/150.49  
% 150.30/150.49  % 
% 150.30/150.49  % EPR                                   false
% 150.30/150.49  % Horn                                  false
% 150.30/150.49  % Has equality                          true
% 150.30/150.49  
% 150.30/150.49  % % ------ Input Options Time Limit: Unbounded
% 150.30/150.49  
% 150.30/150.49  
% 150.30/150.49  Compiling...
% 150.30/150.49  Loading plugin: done.
% 150.30/150.49  % 
% 150.30/150.49  
% 150.30/150.49  
% 150.30/150.49  % Time Out Real
% 150.30/150.49  
% 150.30/150.49  % ------                             Statistics
% 150.30/150.49  
% 150.30/150.49  % ------ General
% 150.30/150.49  
% 150.30/150.49  % num_of_input_clauses:                 839
% 150.30/150.49  % num_of_input_neg_conjectures:         1
% 150.30/150.49  % num_of_splits:                        0
% 150.30/150.49  % num_of_split_atoms:                   0
% 150.30/150.49  % num_of_sem_filtered_clauses:          0
% 150.30/150.49  % num_of_subtypes:                      0
% 150.30/150.49  % monotx_restored_types:                0
% 150.30/150.49  % sat_num_of_epr_types:                 0
% 150.30/150.49  % sat_num_of_non_cyclic_types:          0
% 150.30/150.49  % sat_guarded_non_collapsed_types:      0
% 150.30/150.49  % is_epr:                               0
% 150.30/150.49  % is_horn:                              0
% 150.30/150.49  % has_eq:                               1
% 150.30/150.49  % num_pure_diseq_elim:                  0
% 150.30/150.49  % simp_replaced_by:                     0
% 150.30/150.49  % res_preprocessed:                     2
% 150.30/150.49  % prep_upred:                           0
% 150.30/150.49  % prep_unflattend:                      0
% 150.30/150.49  % pred_elim_cands:                      0
% 150.30/150.49  % pred_elim:                            0
% 150.30/150.49  % pred_elim_cl:                         0
% 150.30/150.49  % pred_elim_cycles:                     0
% 150.30/150.50  % forced_gc_time:                       0
% 150.30/150.50  % gc_basic_clause_elim:                 0
% 150.30/150.50  % parsing_time:                         0.048
% 150.30/150.50  % sem_filter_time:                      0.
% 150.30/150.50  % pred_elim_time:                       0.
% 150.30/150.50  % out_proof_time:                       0.
% 150.30/150.50  % monotx_time:                          0.
% 150.30/150.50  % subtype_inf_time:                     0.
% 150.30/150.50  % unif_index_cands_time:                0.
% 150.30/150.50  % unif_index_add_time:                  0.
% 150.30/150.50  % total_time:                           150.018
% 150.30/150.50  % num_of_symbols:                       116
% 150.30/150.50  % num_of_terms:                         3264
% 150.30/150.50  
% 150.30/150.50  % ------ Propositional Solver
% 150.30/150.50  
% 150.30/150.50  % prop_solver_calls:                    1
% 150.30/150.50  % prop_fast_solver_calls:               3
% 150.30/150.50  % prop_num_of_clauses:                  793
% 150.30/150.50  % prop_preprocess_simplified:           2493
% 150.30/150.50  % prop_fo_subsumed:                     0
% 150.30/150.50  % prop_solver_time:                     0.
% 150.30/150.50  % prop_fast_solver_time:                0.
% 150.30/150.50  % prop_unsat_core_time:                 0.
% 150.30/150.50  
% 150.30/150.50  % ------ QBF 
% 150.30/150.50  
% 150.30/150.50  % qbf_q_res:                            0
% 150.30/150.50  % qbf_num_tautologies:                  0
% 150.30/150.50  % qbf_prep_cycles:                      0
% 150.30/150.50  
% 150.30/150.50  % ------ BMC1
% 150.30/150.50  
% 150.30/150.50  % bmc1_current_bound:                   -1
% 150.30/150.50  % bmc1_last_solved_bound:               -1
% 150.30/150.50  % bmc1_unsat_core_size:                 -1
% 150.30/150.50  % bmc1_unsat_core_parents_size:         -1
% 150.30/150.50  % bmc1_merge_next_fun:                  0
% 150.30/150.50  % bmc1_unsat_core_clauses_time:         0.
% 150.30/150.50  
% 150.30/150.50  % ------ Instantiation
% 150.30/150.50  
% 150.30/150.50  % inst_num_of_clauses:                  723
% 150.30/150.50  % inst_num_in_passive:                  0
% 150.30/150.50  % inst_num_in_active:                   0
% 150.30/150.50  % inst_num_in_unprocessed:              839
% 150.30/150.50  % inst_num_of_loops:                    0
% 150.30/150.50  % inst_num_of_learning_restarts:        0
% 150.30/150.50  % inst_num_moves_active_passive:        0
% 150.30/150.50  % inst_lit_activity:                    0
% 150.30/150.50  % inst_lit_activity_moves:              0
% 150.30/150.50  % inst_num_tautologies:                 0
% 150.30/150.50  % inst_num_prop_implied:                0
% 150.30/150.50  % inst_num_existing_simplified:         0
% 150.30/150.50  % inst_num_eq_res_simplified:           0
% 150.30/150.50  % inst_num_child_elim:                  0
% 150.30/150.50  % inst_num_of_dismatching_blockings:    0
% 150.30/150.50  % inst_num_of_non_proper_insts:         0
% 150.30/150.50  % inst_num_of_duplicates:               0
% 150.30/150.50  % inst_inst_num_from_inst_to_res:       0
% 150.30/150.50  % inst_dismatching_checking_time:       0.
% 150.30/150.50  
% 150.30/150.50  % ------ Resolution
% 150.30/150.50  
% 150.30/150.50  % res_num_of_clauses:                   641
% 150.30/150.50  % res_num_in_passive:                   0
% 150.30/150.50  % res_num_in_active:                    263
% 150.30/150.50  % res_num_of_loops:                     0
% 150.30/150.50  % res_forward_subset_subsumed:          423
% 150.30/150.50  % res_backward_subset_subsumed:         0
% 150.30/150.50  % res_forward_subsumed:                 0
% 150.30/150.50  % res_backward_subsumed:                0
% 150.30/150.50  % res_forward_subsumption_resolution:   0
% 150.30/150.50  % res_backward_subsumption_resolution:  0
% 150.30/150.50  % res_clause_to_clause_subsumption:     0
% 150.30/150.50  % res_orphan_elimination:               0
% 150.30/150.50  % res_tautology_del:                    0
% 150.30/150.50  % res_num_eq_res_simplified:            0
% 150.30/150.50  % res_num_sel_changes:                  0
% 150.30/150.50  % res_moves_from_active_to_pass:        0
% 150.30/150.50  
% 150.30/150.50  % Status Unknown
% 150.34/150.60  % Orienting using strategy ClausalAll
% 150.34/150.60  % Orientation found
% 150.34/150.60  % 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_8e1690.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_46a040.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_797691 | grep -v "SZS"
% 150.34/150.62  
% 150.34/150.62  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.34/150.62  
% 150.34/150.62  % 
% 150.34/150.62  % ------  iProver source info 
% 150.34/150.62  
% 150.34/150.62  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.34/150.62  % git: non_committed_changes: true
% 150.34/150.62  % git: last_make_outside_of_git: true
% 150.34/150.62  
% 150.34/150.62  % 
% 150.34/150.62  % ------ Input Options
% 150.34/150.62  
% 150.34/150.62  % --out_options                         all
% 150.34/150.62  % --tptp_safe_out                       true
% 150.34/150.62  % --problem_path                        ""
% 150.34/150.62  % --include_path                        ""
% 150.34/150.62  % --clausifier                          .//eprover
% 150.34/150.62  % --clausifier_options                  --tstp-format  
% 150.34/150.62  % --stdin                               false
% 150.34/150.62  % --dbg_backtrace                       false
% 150.34/150.62  % --dbg_dump_prop_clauses               false
% 150.34/150.62  % --dbg_dump_prop_clauses_file          -
% 150.34/150.62  % --dbg_out_stat                        false
% 150.34/150.62  
% 150.34/150.62  % ------ General Options
% 150.34/150.62  
% 150.34/150.62  % --fof                                 false
% 150.34/150.62  % --time_out_real                       150.
% 150.34/150.62  % --time_out_prep_mult                  0.2
% 150.34/150.62  % --time_out_virtual                    -1.
% 150.34/150.62  % --schedule                            none
% 150.34/150.62  % --ground_splitting                    input
% 150.34/150.63  % --splitting_nvd                       16
% 150.34/150.63  % --non_eq_to_eq                        false
% 150.34/150.63  % --prep_gs_sim                         true
% 150.34/150.63  % --prep_unflatten                      false
% 150.34/150.63  % --prep_res_sim                        true
% 150.34/150.63  % --prep_upred                          true
% 150.34/150.63  % --res_sim_input                       true
% 150.34/150.63  % --clause_weak_htbl                    true
% 150.34/150.63  % --gc_record_bc_elim                   false
% 150.34/150.63  % --symbol_type_check                   false
% 150.34/150.63  % --clausify_out                        false
% 150.34/150.63  % --large_theory_mode                   false
% 150.34/150.63  % --prep_sem_filter                     none
% 150.34/150.63  % --prep_sem_filter_out                 false
% 150.34/150.63  % --preprocessed_out                    false
% 150.34/150.63  % --sub_typing                          false
% 150.34/150.63  % --brand_transform                     false
% 150.34/150.63  % --pure_diseq_elim                     true
% 150.34/150.63  % --min_unsat_core                      false
% 150.34/150.63  % --pred_elim                           true
% 150.34/150.63  % --add_important_lit                   false
% 150.34/150.63  % --soft_assumptions                    false
% 150.34/150.63  % --reset_solvers                       false
% 150.34/150.63  % --bc_imp_inh                          []
% 150.34/150.63  % --conj_cone_tolerance                 1.5
% 150.34/150.63  % --prolific_symb_bound                 500
% 150.34/150.63  % --lt_threshold                        2000
% 150.34/150.63  
% 150.34/150.63  % ------ SAT Options
% 150.34/150.63  
% 150.34/150.63  % --sat_mode                            false
% 150.34/150.63  % --sat_fm_restart_options              ""
% 150.34/150.63  % --sat_gr_def                          false
% 150.34/150.63  % --sat_epr_types                       true
% 150.34/150.63  % --sat_non_cyclic_types                false
% 150.34/150.63  % --sat_finite_models                   false
% 150.34/150.63  % --sat_fm_lemmas                       false
% 150.34/150.63  % --sat_fm_prep                         false
% 150.34/150.63  % --sat_fm_uc_incr                      true
% 150.34/150.63  % --sat_out_model                       small
% 150.34/150.63  % --sat_out_clauses                     false
% 150.34/150.63  
% 150.34/150.63  % ------ QBF Options
% 150.34/150.63  
% 150.34/150.63  % --qbf_mode                            false
% 150.34/150.63  % --qbf_elim_univ                       true
% 150.34/150.63  % --qbf_sk_in                           true
% 150.34/150.63  % --qbf_pred_elim                       true
% 150.34/150.63  % --qbf_split                           32
% 150.34/150.63  
% 150.34/150.63  % ------ BMC1 Options
% 150.34/150.63  
% 150.34/150.63  % --bmc1_incremental                    false
% 150.34/150.63  % --bmc1_axioms                         reachable_all
% 150.34/150.63  % --bmc1_min_bound                      0
% 150.34/150.63  % --bmc1_max_bound                      -1
% 150.34/150.63  % --bmc1_max_bound_default              -1
% 150.34/150.63  % --bmc1_symbol_reachability            true
% 150.34/150.63  % --bmc1_property_lemmas                false
% 150.34/150.63  % --bmc1_k_induction                    false
% 150.34/150.63  % --bmc1_non_equiv_states               false
% 150.34/150.63  % --bmc1_deadlock                       false
% 150.34/150.63  % --bmc1_ucm                            false
% 150.34/150.63  % --bmc1_add_unsat_core                 none
% 150.34/150.63  % --bmc1_unsat_core_children            false
% 150.34/150.63  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.34/150.63  % --bmc1_out_stat                       full
% 150.34/150.63  % --bmc1_ground_init                    false
% 150.34/150.63  % --bmc1_pre_inst_next_state            false
% 150.34/150.63  % --bmc1_pre_inst_state                 false
% 150.34/150.63  % --bmc1_pre_inst_reach_state           false
% 150.34/150.63  % --bmc1_out_unsat_core                 false
% 150.34/150.63  % --bmc1_aig_witness_out                false
% 150.34/150.63  % --bmc1_verbose                        false
% 150.34/150.63  % --bmc1_dump_clauses_tptp              false
% 153.15/153.44  % --bmc1_dump_unsat_core_tptp           false
% 153.15/153.44  % --bmc1_dump_file                      -
% 153.15/153.44  % --bmc1_ucm_expand_uc_limit            128
% 153.15/153.44  % --bmc1_ucm_n_expand_iterations        6
% 153.15/153.44  % --bmc1_ucm_extend_mode                1
% 153.15/153.44  % --bmc1_ucm_init_mode                  2
% 153.15/153.44  % --bmc1_ucm_cone_mode                  none
% 153.15/153.44  % --bmc1_ucm_reduced_relation_type      0
% 153.15/153.44  % --bmc1_ucm_relax_model                4
% 153.15/153.44  % --bmc1_ucm_full_tr_after_sat          true
% 153.15/153.44  % --bmc1_ucm_expand_neg_assumptions     false
% 153.15/153.44  % --bmc1_ucm_layered_model              none
% 153.15/153.44  % --bmc1_ucm_max_lemma_size             10
% 153.15/153.44  
% 153.15/153.44  % ------ AIG Options
% 153.15/153.44  
% 153.15/153.44  % --aig_mode                            false
% 153.15/153.44  
% 153.15/153.44  % ------ Instantiation Options
% 153.15/153.44  
% 153.15/153.44  % --instantiation_flag                  true
% 153.15/153.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 153.15/153.44  % --inst_solver_per_active              750
% 153.15/153.44  % --inst_solver_calls_frac              0.5
% 153.15/153.44  % --inst_passive_queue_type             priority_queues
% 153.15/153.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 153.15/153.44  % --inst_passive_queues_freq            [25;2]
% 153.15/153.44  % --inst_dismatching                    true
% 153.15/153.44  % --inst_eager_unprocessed_to_passive   true
% 153.15/153.44  % --inst_prop_sim_given                 true
% 153.15/153.44  % --inst_prop_sim_new                   false
% 153.15/153.44  % --inst_orphan_elimination             true
% 153.15/153.44  % --inst_learning_loop_flag             true
% 153.15/153.44  % --inst_learning_start                 3000
% 153.15/153.44  % --inst_learning_factor                2
% 153.15/153.44  % --inst_start_prop_sim_after_learn     3
% 153.15/153.44  % --inst_sel_renew                      solver
% 153.15/153.44  % --inst_lit_activity_flag              true
% 153.15/153.44  % --inst_out_proof                      true
% 153.15/153.44  
% 153.15/153.44  % ------ Resolution Options
% 153.15/153.44  
% 153.15/153.44  % --resolution_flag                     true
% 153.15/153.44  % --res_lit_sel                         kbo_max
% 153.15/153.44  % --res_to_prop_solver                  none
% 153.15/153.44  % --res_prop_simpl_new                  false
% 153.15/153.44  % --res_prop_simpl_given                false
% 153.15/153.44  % --res_passive_queue_type              priority_queues
% 153.15/153.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 153.15/153.44  % --res_passive_queues_freq             [15;5]
% 153.15/153.44  % --res_forward_subs                    full
% 153.15/153.44  % --res_backward_subs                   full
% 153.15/153.44  % --res_forward_subs_resolution         true
% 153.15/153.44  % --res_backward_subs_resolution        true
% 153.15/153.44  % --res_orphan_elimination              false
% 153.15/153.44  % --res_time_limit                      1000.
% 153.15/153.44  % --res_out_proof                       true
% 153.15/153.44  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_8e1690.s
% 153.15/153.44  % --modulo                              true
% 153.15/153.44  
% 153.15/153.44  % ------ Combination Options
% 153.15/153.44  
% 153.15/153.44  % --comb_res_mult                       1000
% 153.15/153.44  % --comb_inst_mult                      300
% 153.15/153.44  % ------ 
% 153.15/153.44  
% 153.15/153.44  % ------ Parsing...% successful
% 153.15/153.44  
% 153.15/153.44  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 153.15/153.44  
% 153.15/153.44  % ------ Proving...
% 153.15/153.44  % ------ Problem Properties 
% 153.15/153.44  
% 153.15/153.44  % 
% 153.15/153.44  % EPR                                   false
% 153.15/153.44  % Horn                                  false
% 153.15/153.44  % Has equality                          true
% 153.15/153.44  
% 153.15/153.44  % % ------ Input Options Time Limit: Unbounded
% 153.15/153.44  
% 153.15/153.44  
% 153.15/153.44  Compiling...
% 153.15/153.44  Loading plugin: done.
% 153.15/153.44  Compiling...
% 153.15/153.44  Loading plugin: done.
% 153.15/153.44  Compiling...
% 153.15/153.44  Loading plugin: done.
% 153.15/153.44  Compiling...
% 153.15/153.44  Loading plugin: done.
% 153.15/153.44  Compiling...
% 153.15/153.44  Loading plugin: done.
% 153.15/153.44  Compiling...
% 153.15/153.44  Loading plugin: done.
% 153.15/153.44  Compiling...
% 153.15/153.44  Loading plugin: done.
% 153.15/153.44  Compiling...
% 153.15/153.44  Loading plugin: done.
% 153.15/153.44  Compiling...
% 153.15/153.44  Loading plugin: done.
% 153.15/153.44  Compiling...
% 153.15/153.44  Loading plugin: done.
% 153.15/153.44  Compiling...
% 153.15/153.44  Loading plugin: done.
% 153.15/153.44  Compiling...
% 153.15/153.44  Loading plugin: done.
% 153.15/153.44  Compiling...
% 153.15/153.44  Loading plugin: done.
% 153.15/153.44  Compiling...
% 153.15/153.44  Loading plugin: done.
% 153.15/153.44  % % ------ Current options:
% 153.15/153.44  
% 153.15/153.44  % ------ Input Options
% 153.15/153.44  
% 153.15/153.44  % --out_options                         all
% 153.15/153.44  % --tptp_safe_out                       true
% 153.15/153.44  % --problem_path                        ""
% 153.15/153.44  % --include_path                        ""
% 153.15/153.44  % --clausifier                          .//eprover
% 153.15/153.44  % --clausifier_options                  --tstp-format  
% 153.15/153.44  % --stdin                               false
% 153.15/153.44  % --dbg_backtrace                       false
% 153.15/153.44  % --dbg_dump_prop_clauses               false
% 153.15/153.44  % --dbg_dump_prop_clauses_file          -
% 153.15/153.44  % --dbg_out_stat                        false
% 153.15/153.44  
% 153.15/153.44  % ------ General Options
% 153.15/153.44  
% 153.15/153.44  % --fof                                 false
% 153.15/153.44  % --time_out_real                       150.
% 153.15/153.44  % --time_out_prep_mult                  0.2
% 153.15/153.44  % --time_out_virtual                    -1.
% 153.15/153.44  % --schedule                            none
% 153.15/153.44  % --ground_splitting                    input
% 153.15/153.44  % --splitting_nvd                       16
% 153.15/153.44  % --non_eq_to_eq                        false
% 153.15/153.44  % --prep_gs_sim                         true
% 153.15/153.44  % --prep_unflatten                      false
% 153.15/153.44  % --prep_res_sim                        true
% 153.15/153.44  % --prep_upred                          true
% 153.15/153.44  % --res_sim_input                       true
% 153.15/153.44  % --clause_weak_htbl                    true
% 153.15/153.44  % --gc_record_bc_elim                   false
% 153.15/153.44  % --symbol_type_check                   false
% 153.15/153.44  % --clausify_out                        false
% 153.15/153.44  % --large_theory_mode                   false
% 153.15/153.44  % --prep_sem_filter                     none
% 153.15/153.44  % --prep_sem_filter_out                 false
% 153.15/153.44  % --preprocessed_out                    false
% 153.15/153.44  % --sub_typing                          false
% 153.15/153.45  % --brand_transform                     false
% 153.15/153.45  % --pure_diseq_elim                     true
% 153.15/153.45  % --min_unsat_core                      false
% 153.15/153.45  % --pred_elim                           true
% 153.15/153.45  % --add_important_lit                   false
% 153.15/153.45  % --soft_assumptions                    false
% 153.15/153.45  % --reset_solvers                       false
% 153.15/153.45  % --bc_imp_inh                          []
% 153.15/153.45  % --conj_cone_tolerance                 1.5
% 153.15/153.45  % --prolific_symb_bound                 500
% 153.15/153.45  % --lt_threshold                        2000
% 153.15/153.45  
% 153.15/153.45  % ------ SAT Options
% 153.15/153.45  
% 153.15/153.45  % --sat_mode                            false
% 153.15/153.45  % --sat_fm_restart_options              ""
% 153.15/153.45  % --sat_gr_def                          false
% 153.15/153.45  % --sat_epr_types                       true
% 153.15/153.45  % --sat_non_cyclic_types                false
% 153.15/153.45  % --sat_finite_models                   false
% 153.15/153.45  % --sat_fm_lemmas                       false
% 153.15/153.45  % --sat_fm_prep                         false
% 153.15/153.45  % --sat_fm_uc_incr                      true
% 153.15/153.45  % --sat_out_model                       small
% 153.15/153.45  % --sat_out_clauses                     false
% 153.15/153.45  
% 153.15/153.45  % ------ QBF Options
% 153.15/153.45  
% 153.15/153.45  % --qbf_mode                            false
% 153.15/153.45  % --qbf_elim_univ                       true
% 153.15/153.45  % --qbf_sk_in                           true
% 153.15/153.45  % --qbf_pred_elim                       true
% 153.15/153.45  % --qbf_split                           32
% 153.15/153.45  
% 153.15/153.45  % ------ BMC1 Options
% 153.15/153.45  
% 153.15/153.45  % --bmc1_incremental                    false
% 153.15/153.45  % --bmc1_axioms                         reachable_all
% 153.15/153.45  % --bmc1_min_bound                      0
% 153.15/153.45  % --bmc1_max_bound                      -1
% 153.15/153.45  % --bmc1_max_bound_default              -1
% 153.15/153.45  % --bmc1_symbol_reachability            true
% 153.15/153.45  % --bmc1_property_lemmas                false
% 153.15/153.45  % --bmc1_k_induction                    false
% 153.15/153.45  % --bmc1_non_equiv_states               false
% 153.15/153.45  % --bmc1_deadlock                       false
% 153.15/153.45  % --bmc1_ucm                            false
% 153.15/153.45  % --bmc1_add_unsat_core                 none
% 153.15/153.45  % --bmc1_unsat_core_children            false
% 153.15/153.45  % --bmc1_unsat_core_extrapolate_axioms  false
% 153.15/153.45  % --bmc1_out_stat                       full
% 153.15/153.45  % --bmc1_ground_init                    false
% 153.15/153.45  % --bmc1_pre_inst_next_state            false
% 153.15/153.45  % --bmc1_pre_inst_state                 false
% 153.15/153.45  % --bmc1_pre_inst_reach_state           false
% 153.15/153.45  % --bmc1_out_unsat_core                 false
% 153.15/153.45  % --bmc1_aig_witness_out                false
% 153.15/153.45  % --bmc1_verbose                        false
% 153.15/153.45  % --bmc1_dump_clauses_tptp              false
% 153.15/153.45  % --bmc1_dump_unsat_core_tptp           false
% 153.15/153.45  % --bmc1_dump_file                      -
% 153.15/153.45  % --bmc1_ucm_expand_uc_limit            128
% 153.15/153.45  % --bmc1_ucm_n_expand_iterations        6
% 153.15/153.45  % --bmc1_ucm_extend_mode                1
% 153.15/153.45  % --bmc1_ucm_init_mode                  2
% 153.15/153.45  % --bmc1_ucm_cone_mode                  none
% 153.15/153.45  % --bmc1_ucm_reduced_relation_type      0
% 153.15/153.45  % --bmc1_ucm_relax_model                4
% 153.15/153.45  % --bmc1_ucm_full_tr_after_sat          true
% 153.15/153.45  % --bmc1_ucm_expand_neg_assumptions     false
% 153.15/153.45  % --bmc1_ucm_layered_model              none
% 153.15/153.45  % --bmc1_ucm_max_lemma_size             10
% 153.15/153.45  
% 153.15/153.45  % ------ AIG Options
% 153.15/153.45  
% 153.15/153.45  % --aig_mode                            false
% 153.15/153.45  
% 153.15/153.45  % ------ Instantiation Options
% 153.15/153.45  
% 153.15/153.45  % --instantiation_flag                  true
% 153.23/153.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 153.23/153.45  % --inst_solver_per_active              750
% 153.23/153.45  % --inst_solver_calls_frac              0.5
% 153.23/153.45  % --inst_passive_queue_type             priority_queues
% 153.23/153.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 153.23/153.45  % --inst_passive_queues_freq            [25;2]
% 153.23/153.45  % --inst_dismatching                    true
% 153.23/153.45  % --inst_eager_unprocessed_to_passive   true
% 153.23/153.45  % --inst_prop_sim_given                 true
% 153.23/153.45  % --inst_prop_sim_new                   false
% 153.23/153.45  % --inst_orphan_elimination             true
% 153.23/153.45  % --inst_learning_loop_flag             true
% 153.23/153.45  % --inst_learning_start                 3000
% 153.23/153.45  % --inst_learning_factor                2
% 153.23/153.45  % --inst_start_prop_sim_after_learn     3
% 153.23/153.45  % --inst_sel_renew                      solver
% 153.23/153.45  % --inst_lit_activity_flag              true
% 153.23/153.45  % --inst_out_proof                      true
% 153.23/153.45  
% 153.23/153.45  % ------ Resolution Options
% 153.23/153.45  
% 153.23/153.45  % --resolution_flag                     true
% 153.23/153.45  % --res_lit_sel                         kbo_max
% 153.23/153.45  % --res_to_prop_solver                  none
% 153.23/153.45  % --res_prop_simpl_new                  false
% 153.23/153.45  % --res_prop_simpl_given                false
% 153.23/153.45  % --res_passive_queue_type              priority_queues
% 153.23/153.45  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 153.23/153.45  % --res_passive_queues_freq             [15;5]
% 153.23/153.45  % --res_forward_subs                    full
% 153.23/153.45  % --res_backward_subs                   full
% 153.23/153.45  % --res_forward_subs_resolution         true
% 153.23/153.45  % --res_backward_subs_resolution        true
% 153.23/153.45  % --res_orphan_elimination              false
% 153.23/153.45  % --res_time_limit                      1000.
% 153.23/153.45  % --res_out_proof                       true
% 153.23/153.45  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_8e1690.s
% 153.23/153.45  % --modulo                              true
% 153.23/153.45  
% 153.23/153.45  % ------ Combination Options
% 153.23/153.45  
% 153.23/153.45  % --comb_res_mult                       1000
% 153.23/153.45  % --comb_inst_mult                      300
% 153.23/153.45  % ------ 
% 153.23/153.45  
% 153.23/153.45  
% 153.23/153.45  
% 153.23/153.45  % ------ Proving...
% 153.23/153.45  % warning:  shown sat in sat incomplete mode 
% 153.23/153.45  % 
% 153.23/153.45  
% 153.23/153.45  
% 153.23/153.45  
% 153.23/153.45  
% 153.23/153.45  cnf(c_834,plain,
% 153.23/153.45      ( c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X0,X1,X2,X3),X0,tc_Type_Otype,tc_Type_Otype) = X1
% 153.23/153.45      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.23/153.45      | ~ c_Type_Otypings(X2,X5,X6)
% 153.23/153.45      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1736_3) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3549,plain,
% 153.23/153.45      ( c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X0,X1,X2,X3),X0,tc_Type_Otype,tc_Type_Otype) = X1
% 153.23/153.45      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.23/153.45      | ~ c_Type_Otypings(X2,X5,X6)
% 153.23/153.45      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_834]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3550,plain,
% 153.23/153.45      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.23/153.45      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
% 153.23/153.45      | ~ c_Type_Otypings(X0,X2,X6)
% 153.23/153.45      | c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X3,X0,X4),X5,tc_Type_Otype,tc_Type_Otype) = X3 ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3549]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_830,plain,
% 153.23/153.45      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 153.23/153.45      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2)
% 153.23/153.45      | ~ c_Type_Otypings(X0,X5,X6)
% 153.23/153.45      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1737_3) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3541,plain,
% 153.23/153.45      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 153.23/153.45      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2)
% 153.23/153.45      | ~ c_Type_Otypings(X0,X5,X6)
% 153.23/153.45      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_830]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3542,plain,
% 153.23/153.45      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.23/153.45      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
% 153.23/153.45      | c_Type_Otypings(X0,X4,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X3,X0,X4))
% 153.23/153.45      | ~ c_Type_Otypings(X0,X2,X6) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3541]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_743,plain,
% 153.23/153.45      ( X0 = X1
% 153.23/153.45      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.23/153.45      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1781_2) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3367,plain,
% 153.23/153.45      ( X0 = X1
% 153.23/153.45      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.23/153.45      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_743]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3368,plain,
% 153.23/153.45      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.23/153.45      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.23/153.45      | X3 = X4 ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3367]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_664,plain,
% 153.23/153.45      ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 153.23/153.45      | ~ c_Type_Otyping(X2,X3,X0)
% 153.23/153.45      | ~ c_InductTermi_OIT(X3)
% 153.23/153.45      | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 153.23/153.45      | ~ c_InductTermi_OIT(X4)
% 153.23/153.45      | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1843_2) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3209,plain,
% 153.23/153.45      ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 153.23/153.45      | ~ c_Type_Otyping(X2,X3,X0)
% 153.23/153.45      | ~ c_InductTermi_OIT(X3)
% 153.23/153.45      | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 153.23/153.45      | ~ c_InductTermi_OIT(X4)
% 153.23/153.45      | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_664]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3210,plain,
% 153.23/153.45      ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 153.23/153.45      | ~ c_InductTermi_OIT(X1)
% 153.23/153.45      | ~ c_InductTermi_OIT(X0)
% 153.23/153.45      | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.23/153.45      | ~ c_Type_Otyping(X3,X1,X4)
% 153.23/153.45      | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3209]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_661,plain,
% 153.23/153.45      ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 153.23/153.45      | ~ c_InductTermi_OIT(X0)
% 153.23/153.45      | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.23/153.45      | ~ c_InductTermi_OIT(X1)
% 153.23/153.45      | ~ c_Type_Otyping(X3,X1,X4)
% 153.23/153.45      | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1843_5) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3203,plain,
% 153.23/153.45      ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 153.23/153.45      | ~ c_InductTermi_OIT(X0)
% 153.23/153.45      | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.23/153.45      | ~ c_InductTermi_OIT(X1)
% 153.23/153.45      | ~ c_Type_Otyping(X3,X1,X4)
% 153.23/153.45      | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 153.23/153.45      inference(copy,[status(esa)],[c_661]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3204,plain,
% 153.23/153.45      ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 153.23/153.45      | ~ c_InductTermi_OIT(X0)
% 153.23/153.45      | ~ c_InductTermi_OIT(X1)
% 153.23/153.45      | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.23/153.45      | ~ c_Type_Otyping(X3,X1,X4)
% 153.23/153.45      | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3203]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_658,plain,
% 153.23/153.45      ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 153.23/153.45      | ~ c_Type_Otyping(X2,X3,X1)
% 153.23/153.45      | ~ c_InductTermi_OIT(X3)
% 153.23/153.45      | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 153.23/153.45      | ~ c_InductTermi_OIT(X4)
% 153.23/153.45      | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1844_2) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3197,plain,
% 153.23/153.45      ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 153.23/153.45      | ~ c_Type_Otyping(X2,X3,X1)
% 153.23/153.45      | ~ c_InductTermi_OIT(X3)
% 153.23/153.45      | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 153.23/153.45      | ~ c_InductTermi_OIT(X4)
% 153.23/153.45      | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_658]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3198,plain,
% 153.23/153.45      ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 153.23/153.45      | ~ c_InductTermi_OIT(X1)
% 153.23/153.45      | ~ c_InductTermi_OIT(X0)
% 153.23/153.45      | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.23/153.45      | ~ c_Type_Otyping(X3,X1,X4)
% 153.23/153.45      | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3197]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_655,plain,
% 153.23/153.45      ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 153.23/153.45      | ~ c_InductTermi_OIT(X0)
% 153.23/153.45      | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.23/153.45      | ~ c_InductTermi_OIT(X1)
% 153.23/153.45      | ~ c_Type_Otyping(X3,X1,X4)
% 153.23/153.45      | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1844_5) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3191,plain,
% 153.23/153.45      ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 153.23/153.45      | ~ c_InductTermi_OIT(X0)
% 153.23/153.45      | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.23/153.45      | ~ c_InductTermi_OIT(X1)
% 153.23/153.45      | ~ c_Type_Otyping(X3,X1,X4)
% 153.23/153.45      | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 153.23/153.45      inference(copy,[status(esa)],[c_655]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3192,plain,
% 153.23/153.45      ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 153.23/153.45      | ~ c_InductTermi_OIT(X0)
% 153.23/153.45      | ~ c_InductTermi_OIT(X1)
% 153.23/153.45      | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 153.23/153.45      | ~ c_Type_Otyping(X3,X1,X4)
% 153.23/153.45      | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3191]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_652,plain,
% 153.23/153.45      ( c_Type_Otyping(X0,c_Lambda_Osubst(X1,X2,X3),X4)
% 153.23/153.45      | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 153.23/153.45      | ~ c_Type_Otyping(X0,X2,X5) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1845_2) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3185,plain,
% 153.23/153.45      ( c_Type_Otyping(X0,c_Lambda_Osubst(X1,X2,X3),X4)
% 153.23/153.45      | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 153.23/153.45      | ~ c_Type_Otyping(X0,X2,X5) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_652]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3186,plain,
% 153.23/153.45      ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 153.23/153.45      | c_Type_Otyping(X0,c_Lambda_Osubst(X3,X5,X1),X4)
% 153.23/153.45      | ~ c_Type_Otyping(X0,X5,X2) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3185]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_620,plain,
% 153.23/153.45      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1870_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3121,plain,
% 153.23/153.45      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_620]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3122,plain,
% 153.23/153.45      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3121]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_601,plain,
% 153.23/153.45      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1879_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3083,plain,
% 153.23/153.45      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_601]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3084,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3083]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_591,plain,
% 153.23/153.45      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1884_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3063,plain,
% 153.23/153.45      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_591]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3064,plain,
% 153.23/153.45      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3063]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_587,plain,
% 153.23/153.45      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1885_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3055,plain,
% 153.23/153.45      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_587]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3056,plain,
% 153.23/153.45      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3055]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_569,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1891_3) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3019,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_569]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3020,plain,
% 153.23/153.45      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3019]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_564,plain,
% 153.23/153.45      ( ~ class_Orderings_Olinorder(X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1893_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3009,plain,
% 153.23/153.45      ( ~ class_Orderings_Olinorder(X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_564]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3010,plain,
% 153.23/153.45      ( ~ class_Orderings_Olinorder(X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3009]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_555,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.23/153.45      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1896_2) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2991,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.23/153.45      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_555]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2992,plain,
% 153.23/153.45      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.23/153.45      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2991]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_552,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1897_2) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2985,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_552]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2986,plain,
% 153.23/153.45      ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.23/153.45      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2985]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_549,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.23/153.45      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1898_2) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2979,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.23/153.45      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_549]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2980,plain,
% 153.23/153.45      ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.23/153.45      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2979]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_532,plain,
% 153.23/153.45      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1914_0) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2945,plain,
% 153.23/153.45      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_532]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2946,plain,
% 153.23/153.45      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 153.23/153.45      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2945]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_481,plain,
% 153.23/153.45      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1938_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2843,plain,
% 153.23/153.45      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_481]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2844,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2843]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_458,plain,
% 153.23/153.45      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.23/153.45      | X2 = X1 ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1956_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2797,plain,
% 153.23/153.45      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.23/153.45      | X2 = X1 ),
% 153.23/153.45      inference(copy,[status(esa)],[c_458]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2798,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.23/153.45      | hBOOL(hAPP(hAPP(X2,X0),X1))
% 153.23/153.45      | X1 = X0 ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2797]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_456,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | X0 = X1
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.23/153.45      | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1956_3) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2793,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | X0 = X1
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.23/153.45      | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_456]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2794,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.23/153.45      | hBOOL(hAPP(hAPP(X2,X1),X0))
% 153.23/153.45      | X0 = X1 ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2793]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_406,plain,
% 153.23/153.45      ( ~ c_Lambda_Obeta(X0,X1)
% 153.23/153.45      | ~ c_Type_Otyping(X2,X0,X3)
% 153.23/153.45      | c_Type_Otyping(X2,X1,X3) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1978_0) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2693,plain,
% 153.23/153.45      ( ~ c_Lambda_Obeta(X0,X1)
% 153.23/153.45      | ~ c_Type_Otyping(X2,X0,X3)
% 153.23/153.45      | c_Type_Otyping(X2,X1,X3) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_406]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2694,plain,
% 153.23/153.45      ( ~ c_Type_Otyping(X0,X1,X2)
% 153.23/153.45      | c_Type_Otyping(X0,X3,X2)
% 153.23/153.45      | ~ c_Lambda_Obeta(X1,X3) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2693]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_382,plain,
% 153.23/153.45      ( c_Suc(X0) = X1
% 153.23/153.45      | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1988_2) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2645,plain,
% 153.23/153.45      ( c_Suc(X0) = X1
% 153.23/153.45      | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_382]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2646,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.23/153.45      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | c_Suc(X0) = X1 ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2645]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_362,plain,
% 153.23/153.45      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.23/153.45      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.23/153.45      | ~ class_Power_Opower(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1997_5) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2605,plain,
% 153.23/153.45      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.23/153.45      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.23/153.45      | ~ class_Power_Opower(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_362]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2606,plain,
% 153.23/153.45      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 153.23/153.45      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.23/153.45      | ~ class_Ring__and__Field_Omult__zero(X0)
% 153.23/153.45      | ~ class_Power_Opower(X0)
% 153.23/153.45      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.23/153.45      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2605]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_357,plain,
% 153.23/153.45      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.23/153.45      | ~ class_Power_Opower(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1998_4) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2595,plain,
% 153.23/153.45      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.23/153.45      | ~ class_Power_Opower(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_357]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2596,plain,
% 153.23/153.45      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 153.23/153.45      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.23/153.45      | ~ class_Ring__and__Field_Omult__zero(X0)
% 153.23/153.45      | ~ class_Power_Opower(X0)
% 153.23/153.45      | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2595]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_356,plain,
% 153.23/153.45      ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 153.23/153.45      | hBOOL(hAPP(X0,X3))
% 153.23/153.45      | hBOOL(hAPP(X0,X1)) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1999_0) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2593,plain,
% 153.23/153.45      ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 153.23/153.45      | hBOOL(hAPP(X0,X3))
% 153.23/153.45      | hBOOL(hAPP(X0,X1)) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_356]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2594,plain,
% 153.23/153.45      ( hBOOL(hAPP(X0,X1))
% 153.23/153.45      | hBOOL(hAPP(X0,X2))
% 153.23/153.45      | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2593]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_353,plain,
% 153.23/153.45      ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 153.23/153.45      | hBOOL(hAPP(X0,X3))
% 153.23/153.45      | hBOOL(hAPP(X0,X2)) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2000_0) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2587,plain,
% 153.23/153.45      ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 153.23/153.45      | hBOOL(hAPP(X0,X3))
% 153.23/153.45      | hBOOL(hAPP(X0,X2)) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_353]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2588,plain,
% 153.23/153.45      ( hBOOL(hAPP(X0,X1))
% 153.23/153.45      | hBOOL(hAPP(X0,X2))
% 153.23/153.45      | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X2) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2587]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_348,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | X1 = X0
% 153.23/153.45      | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2002_2) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2577,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | X1 = X0
% 153.23/153.45      | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_348]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2578,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 153.23/153.45      | X1 = X0 ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2577]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_345,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | X1 = X0
% 153.23/153.45      | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2003_2) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2571,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | X1 = X0
% 153.23/153.45      | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_345]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2572,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 153.23/153.45      | X1 = X0 ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2571]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_327,plain,
% 153.23/153.45      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.23/153.45      | X2 = X1
% 153.23/153.45      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2008_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2535,plain,
% 153.23/153.45      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.23/153.45      | X2 = X1
% 153.23/153.45      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_327]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2536,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.23/153.45      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 153.23/153.45      | X1 = X0 ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2535]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_325,plain,
% 153.23/153.45      ( X0 = X1
% 153.23/153.45      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.23/153.45      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2008_3) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2531,plain,
% 153.23/153.45      ( X0 = X1
% 153.23/153.45      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.23/153.45      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_325]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2532,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.23/153.45      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 153.23/153.45      | X0 = X1 ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2531]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_295,plain,
% 153.23/153.45      ( X0 = X1
% 153.23/153.45      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2025_2) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2471,plain,
% 153.23/153.45      ( X0 = X1
% 153.23/153.45      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_295]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2472,plain,
% 153.23/153.45      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.23/153.45      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.23/153.45      | X0 = X1 ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2471]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_259,plain,
% 153.23/153.45      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.23/153.45      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.23/153.45      | ~ class_Power_Opower(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2038_5) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2399,plain,
% 153.23/153.45      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.23/153.45      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.23/153.45      | ~ class_Power_Opower(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.23/153.45      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_259]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2400,plain,
% 153.23/153.45      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 153.23/153.45      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.23/153.45      | ~ class_Ring__and__Field_Omult__zero(X0)
% 153.23/153.45      | ~ class_Power_Opower(X0)
% 153.23/153.45      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.23/153.45      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2399]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_121,plain,
% 153.23/153.45      ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1791_0) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2124,plain,
% 153.23/153.45      ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_121]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2125,plain,
% 153.23/153.45      ( c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2124]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_115,plain,
% 153.23/153.45      ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1810_0) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2116,plain,
% 153.23/153.45      ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_115]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2117,plain,
% 153.23/153.45      ( c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2116]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_114,plain,
% 153.23/153.45      ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1811_0) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2114,plain,
% 153.23/153.45      ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_114]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2115,plain,
% 153.23/153.45      ( c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2114]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_96,plain,
% 153.23/153.45      ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1858_0) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2094,plain,
% 153.23/153.45      ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_96]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2095,plain,
% 153.23/153.45      ( c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2094]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_95,plain,
% 153.23/153.45      ( c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1859_0) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2092,plain,
% 153.23/153.45      ( c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_95]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_2093,plain,
% 153.23/153.45      ( c_Type_Otypings(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_2092]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_838,negated_conjecture,
% 153.23/153.45      ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_4) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_1113,negated_conjecture,
% 153.23/153.45      ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_838]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_1117,negated_conjecture,
% 153.23/153.45      ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_1113]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_1118,negated_conjecture,
% 153.23/153.45      ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_1117]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_1119,negated_conjecture,
% 153.23/153.45      ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_1118]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3557,negated_conjecture,
% 153.23/153.45      ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_1119]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_828,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X3),hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X4))
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1738_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3537,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X3),hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X4))
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_828]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3538,plain,
% 153.23/153.45      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.45      | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X8),hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X9)) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3537]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_826,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1739_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3533,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_826]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3534,plain,
% 153.23/153.45      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.45      | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),hAPP(hAPP(X1,X7),X9)) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3533]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_824,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X3),X4)))
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1740_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3529,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X3),X4)))
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_824]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3530,plain,
% 153.23/153.45      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.45      | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X8),X9))) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3529]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_822,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1741_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3525,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_822]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3526,plain,
% 153.23/153.45      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.45      | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),hAPP(hAPP(X0,X8),X9)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),hAPP(hAPP(X0,X7),X9)) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3525]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_818,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1743_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3517,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_818]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3518,plain,
% 153.23/153.45      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.45      | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3517]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_816,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1744_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3513,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_816]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3514,plain,
% 153.23/153.45      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.45      | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3513]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_814,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4))
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1745_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3509,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4))
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_814]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3510,plain,
% 153.23/153.45      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.45      | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X6),X8)) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X7),X8)) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3509]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_812,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 153.23/153.45      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1746_1) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3505,plain,
% 153.23/153.45      ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 153.23/153.45      | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 153.23/153.45      inference(copy,[status(esa)],[c_812]) ).
% 153.23/153.45  
% 153.23/153.45  cnf(c_3506,plain,
% 153.23/153.45      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.45      | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 153.23/153.45      inference(rewriting,[status(thm)],[c_3505]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_810,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1747_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3501,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_810]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3502,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3501]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_808,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1748_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3497,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_808]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3498,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3497]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_806,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1749_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3493,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_806]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3494,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3493]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_804,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1750_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3489,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_804]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3490,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3489]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_794,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1755_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3469,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_794]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3470,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3469]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_792,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1756_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3465,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_792]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3466,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3465]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_790,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),c_Suc(X3))
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1757_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3461,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),c_Suc(X3))
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_790]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3462,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3461]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_788,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1758_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3457,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_788]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3458,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3457]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_786,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1759_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3453,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_786]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3454,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3453]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_784,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1760_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3449,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_784]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3450,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3449]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_778,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),c_Suc(X3))
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1763_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3437,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),c_Suc(X3))
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_778]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3438,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3437]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_772,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1766_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3425,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_772]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3426,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3425]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_770,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1767_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3421,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_770]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3422,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3421]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_768,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1768_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3417,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_768]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3418,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3417]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_764,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = X1
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1770_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3409,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = X1
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_764]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3410,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X0,X6),X3) = X6 ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3409]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_760,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = X2
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1772_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3401,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = X2
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_760]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3402,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X1,X6),X3) = X3 ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3401]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_756,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = X1
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1774_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3393,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = X1
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_756]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3394,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X1,X6),X4) = X6 ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3393]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_754,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = X2
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1775_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3389,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = X2
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_754]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3390,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X0,X3),X6) = X6 ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3389]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_752,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = X1
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1776_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3385,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = X1
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_752]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3386,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X1,X3),X6) = X3 ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3385]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_750,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = X2
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1777_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3381,plain,
% 153.23/153.46      ( hAPP(hAPP(X0,X1),X2) = X2
% 153.23/153.46      | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_750]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3382,plain,
% 153.23/153.46      ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 153.23/153.46      | hAPP(hAPP(X1,X4),X6) = X6 ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3381]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_746,plain,
% 153.23/153.46      ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 153.23/153.46      | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1780_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3373,plain,
% 153.23/153.46      ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 153.23/153.46      | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_746]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_744,plain,
% 153.23/153.46      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.23/153.46      | X4 = X3
% 153.23/153.46      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1781_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3369,plain,
% 153.23/153.46      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.23/153.46      | X4 = X3
% 153.23/153.46      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_744]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3370,plain,
% 153.23/153.46      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.23/153.46      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.23/153.46      | X4 = X3 ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3369]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_739,plain,
% 153.23/153.46      ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 153.23/153.46      | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1783_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3359,plain,
% 153.23/153.46      ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 153.23/153.46      | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_739]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_735,plain,
% 153.23/153.46      ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 153.23/153.46      | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1785_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3351,plain,
% 153.23/153.46      ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 153.23/153.46      | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_735]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_733,plain,
% 153.23/153.46      ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.23/153.46      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1786_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3347,plain,
% 153.23/153.46      ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.23/153.46      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_733]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_731,plain,
% 153.23/153.46      ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.23/153.46      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1787_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3343,plain,
% 153.23/153.46      ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.23/153.46      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_731]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3344,plain,
% 153.23/153.46      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.23/153.46      | c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2),X3,tc_Type_Otype,tc_Type_Otype)) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3343]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_729,plain,
% 153.23/153.46      ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.23/153.46      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1788_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3339,plain,
% 153.23/153.46      ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 153.23/153.46      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_729]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3340,plain,
% 153.23/153.46      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.23/153.46      | c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2),X3,tc_Type_Otype,tc_Type_Otype)) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3339]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_726,plain,
% 153.23/153.46      ( c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 153.23/153.46      | ~ c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 153.23/153.46      | ~ c_InductTermi_OIT(X1) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1789_2) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3333,plain,
% 153.23/153.46      ( c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 153.23/153.46      | ~ c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 153.23/153.46      | ~ c_InductTermi_OIT(X1) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_726]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_723,plain,
% 153.23/153.46      ( c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.23/153.46      | ~ c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X4,X3,tc_Type_Otype,tc_Type_Otype))
% 153.23/153.46      | ~ c_Type_Otypings(X0,X2,X4) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1790_2) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3327,plain,
% 153.23/153.46      ( c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.23/153.46      | ~ c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X4,X3,tc_Type_Otype,tc_Type_Otype))
% 153.23/153.46      | ~ c_Type_Otypings(X0,X2,X4) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_723]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_721,plain,
% 153.23/153.46      ( c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB))
% 153.23/153.46      | ~ c_Lambda_Obeta(X0,X2) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1795_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3323,plain,
% 153.23/153.46      ( c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB))
% 153.23/153.46      | ~ c_Lambda_Obeta(X0,X2) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_721]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_719,plain,
% 153.23/153.46      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 153.23/153.46      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1796_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3319,plain,
% 153.23/153.46      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 153.23/153.46      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_719]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3320,plain,
% 153.23/153.46      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.23/153.46      | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X0,X1,X2)) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3319]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_717,plain,
% 153.23/153.46      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 153.23/153.46      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1797_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3315,plain,
% 153.23/153.46      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 153.23/153.46      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_717]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3316,plain,
% 153.23/153.46      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.23/153.46      | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2)) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3315]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_715,plain,
% 153.23/153.46      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 153.23/153.46      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1798_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3311,plain,
% 153.23/153.46      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 153.23/153.46      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_715]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3312,plain,
% 153.23/153.46      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.23/153.46      | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2)) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3311]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_713,plain,
% 153.23/153.46      ( X0 = X1
% 153.23/153.46      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1799_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3307,plain,
% 153.23/153.46      ( X0 = X1
% 153.23/153.46      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_713]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3308,plain,
% 153.23/153.46      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.23/153.46      | X1 = X3 ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3307]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_711,plain,
% 153.23/153.46      ( X0 = X1
% 153.23/153.46      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1800_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3303,plain,
% 153.23/153.46      ( X0 = X1
% 153.23/153.46      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_711]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3304,plain,
% 153.23/153.46      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.23/153.46      | X0 = X2 ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3303]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_709,plain,
% 153.23/153.46      ( X0 = X1
% 153.23/153.46      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1801_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3299,plain,
% 153.23/153.46      ( X0 = X1
% 153.23/153.46      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_709]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3300,plain,
% 153.23/153.46      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.23/153.46      | X0 = X2 ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3299]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_707,plain,
% 153.23/153.46      ( X0 = X1
% 153.23/153.46      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1802_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3295,plain,
% 153.23/153.46      ( X0 = X1
% 153.23/153.46      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_707]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3296,plain,
% 153.23/153.46      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.23/153.46      | X1 = X3 ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3295]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_705,plain,
% 153.23/153.46      ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0))
% 153.23/153.46      | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1803_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3291,plain,
% 153.23/153.46      ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0))
% 153.23/153.46      | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_705]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3292,plain,
% 153.23/153.46      ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 153.23/153.46      | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0)) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3291]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_703,plain,
% 153.23/153.46      ( X0 = X1
% 153.23/153.46      | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1805_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3287,plain,
% 153.23/153.46      ( X0 = X1
% 153.23/153.46      | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_703]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3288,plain,
% 153.23/153.46      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.23/153.46      | X0 = X2 ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3287]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_701,plain,
% 153.23/153.46      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,c_HOL_Ozero__class_Ozero(X0),X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 153.23/153.46      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1807_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3283,plain,
% 153.23/153.46      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,c_HOL_Ozero__class_Ozero(X0),X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 153.23/153.46      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_701]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3284,plain,
% 153.23/153.46      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.23/153.46      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,c_HOL_Ozero__class_Ozero(X0),X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3283]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_699,plain,
% 153.23/153.46      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 153.23/153.46      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1808_1) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3279,plain,
% 153.23/153.46      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 153.23/153.46      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.23/153.46      inference(copy,[status(esa)],[c_699]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_3280,plain,
% 153.23/153.46      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.23/153.46      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 153.23/153.46      inference(rewriting,[status(thm)],[c_3279]) ).
% 153.23/153.46  
% 153.23/153.46  cnf(c_697,plain,
% 153.23/153.46      ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0)
% 153.23/153.46      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.23/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1813_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3275,plain,
% 153.25/153.46      ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0)
% 153.25/153.46      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_697]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3276,plain,
% 153.25/153.46      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.25/153.46      | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) ),
% 153.25/153.46      inference(rewriting,[status(thm)],[c_3275]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_695,plain,
% 153.25/153.46      ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X1,X0,X0)
% 153.25/153.46      | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1814_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3271,plain,
% 153.25/153.46      ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X1,X0,X0)
% 153.25/153.46      | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_695]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3272,plain,
% 153.25/153.46      ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 153.25/153.46      | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X1,X0,X0) ),
% 153.25/153.46      inference(rewriting,[status(thm)],[c_3271]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_693,plain,
% 153.25/153.46      ( c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X1,X3)),X2))
% 153.25/153.46      | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1816_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3267,plain,
% 153.25/153.46      ( c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X1,X3)),X2))
% 153.25/153.46      | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_693]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3268,plain,
% 153.25/153.46      ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 153.25/153.46      | c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)),X3)) ),
% 153.25/153.46      inference(rewriting,[status(thm)],[c_3267]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_689,plain,
% 153.25/153.46      ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 153.25/153.46      | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X4,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3),t_a))) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1818_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3259,plain,
% 153.25/153.46      ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 153.25/153.46      | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X4,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3),t_a))) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_689]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_687,plain,
% 153.25/153.46      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 153.25/153.46      | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1820_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3255,plain,
% 153.25/153.46      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 153.25/153.46      | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_687]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3256,plain,
% 153.25/153.46      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
% 153.25/153.46      | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2 ),
% 153.25/153.46      inference(rewriting,[status(thm)],[c_3255]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_685,plain,
% 153.25/153.46      ( c_Lambda_OdB_OVar(X0) = X1
% 153.25/153.46      | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1822_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3251,plain,
% 153.25/153.46      ( c_Lambda_OdB_OVar(X0) = X1
% 153.25/153.46      | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_685]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3252,plain,
% 153.25/153.46      ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.25/153.46      | c_Lambda_OdB_OVar(X0) = X1 ),
% 153.25/153.46      inference(rewriting,[status(thm)],[c_3251]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_683,plain,
% 153.25/153.46      ( X0 = c_Lambda_OdB_OAbs(X1)
% 153.25/153.46      | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1823_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3247,plain,
% 153.25/153.46      ( X0 = c_Lambda_OdB_OAbs(X1)
% 153.25/153.46      | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_683]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3248,plain,
% 153.25/153.46      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 153.25/153.46      | X0 = c_Lambda_OdB_OAbs(X2) ),
% 153.25/153.46      inference(rewriting,[status(thm)],[c_3247]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_681,plain,
% 153.25/153.46      ( c_Lambda_OdB_OAbs(X0) = X1
% 153.25/153.46      | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1824_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3243,plain,
% 153.25/153.46      ( c_Lambda_OdB_OAbs(X0) = X1
% 153.25/153.46      | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_681]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3244,plain,
% 153.25/153.46      ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.25/153.46      | c_Lambda_OdB_OAbs(X0) = X1 ),
% 153.25/153.46      inference(rewriting,[status(thm)],[c_3243]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_679,plain,
% 153.25/153.46      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.25/153.46      | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1825_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3239,plain,
% 153.25/153.46      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.25/153.46      | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_679]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3240,plain,
% 153.25/153.46      ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.25/153.46      | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 153.25/153.46      inference(rewriting,[status(thm)],[c_3239]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_677,plain,
% 153.25/153.46      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.25/153.46      | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1826_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3235,plain,
% 153.25/153.46      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.25/153.46      | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_677]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3236,plain,
% 153.25/153.46      ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.25/153.46      | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 153.25/153.46      inference(rewriting,[status(thm)],[c_3235]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_675,plain,
% 153.25/153.46      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.25/153.46      | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1827_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3231,plain,
% 153.25/153.46      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.25/153.46      | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_675]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3232,plain,
% 153.25/153.46      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 153.25/153.46      | X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 153.25/153.46      inference(rewriting,[status(thm)],[c_3231]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_671,plain,
% 153.25/153.46      ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 153.25/153.46      | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X3,c_Type_Otype_OAtom(X2),t_a))) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1829_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3223,plain,
% 153.25/153.46      ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 153.25/153.46      | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X3,c_Type_Otype_OAtom(X2),t_a))) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_671]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_669,plain,
% 153.25/153.46      ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Olistsum(X1,X0)
% 153.25/153.46      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1833_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3219,plain,
% 153.25/153.46      ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Olistsum(X1,X0)
% 153.25/153.46      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_669]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3220,plain,
% 153.25/153.46      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.25/153.46      | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Olistsum(X1,X0) ),
% 153.25/153.46      inference(rewriting,[status(thm)],[c_3219]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_667,plain,
% 153.25/153.46      ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0)
% 153.25/153.46      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1834_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3215,plain,
% 153.25/153.46      ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0)
% 153.25/153.46      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_667]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3216,plain,
% 153.25/153.46      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.25/153.46      | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0) ),
% 153.25/153.46      inference(rewriting,[status(thm)],[c_3215]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_650,plain,
% 153.25/153.46      ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
% 153.25/153.46      | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1846_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3181,plain,
% 153.25/153.46      ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
% 153.25/153.46      | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_650]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3182,plain,
% 153.25/153.46      ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 153.25/153.46      | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),hAPP(hAPP(c_Type_Otype_OFun,X1),X3)) ),
% 153.25/153.46      inference(rewriting,[status(thm)],[c_3181]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_648,plain,
% 153.25/153.46      ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X1,X0,X2),tc_Type_Otype),X2,c_Type_Osko__Type__Xtyping__elims__3__2(X1,X0,X2))
% 153.25/153.46      | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1847_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3177,plain,
% 153.25/153.46      ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X1,X0,X2),tc_Type_Otype),X2,c_Type_Osko__Type__Xtyping__elims__3__2(X1,X0,X2))
% 153.25/153.46      | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_648]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_646,plain,
% 153.25/153.46      ( c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1))
% 153.25/153.46      | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1848_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3173,plain,
% 153.25/153.46      ( c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1))
% 153.25/153.46      | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_646]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3174,plain,
% 153.25/153.46      ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 153.25/153.46      | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
% 153.25/153.46      inference(rewriting,[status(thm)],[c_3173]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_644,plain,
% 153.25/153.46      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 153.25/153.46      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1849_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3169,plain,
% 153.25/153.46      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 153.25/153.46      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_644]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3170,plain,
% 153.25/153.46      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.25/153.46      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)) ),
% 153.25/153.46      inference(rewriting,[status(thm)],[c_3169]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_642,plain,
% 153.25/153.46      ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(X0,X1),tc_Type_Otype),X1,c_Type_Osko__Type__Xabs__typeE__1__2(X0,X1))
% 153.25/153.46      | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1850_1) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_3165,plain,
% 153.25/153.46      ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(X0,X1),tc_Type_Otype),X1,c_Type_Osko__Type__Xabs__typeE__1__2(X0,X1))
% 153.25/153.46      | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 153.25/153.46      inference(copy,[status(esa)],[c_642]) ).
% 153.25/153.46  
% 153.25/153.46  cnf(c_640,plain,
% 153.25/153.46      ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 153.25/153.46      | ~ c_Type_Otyping(X0,X3,X4) ),
% 153.25/153.46      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1851_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3161,plain,
% 153.25/153.47      ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 153.25/153.47      | ~ c_Type_Otyping(X0,X3,X4) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_640]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_638,plain,
% 153.25/153.47      ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1853_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3157,plain,
% 153.25/153.47      ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_638]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3158,plain,
% 153.25/153.47      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.47      | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3157]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_636,plain,
% 153.25/153.47      ( X0 = X1
% 153.25/153.47      | c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1855_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3153,plain,
% 153.25/153.47      ( X0 = X1
% 153.25/153.47      | c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_636]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3154,plain,
% 153.25/153.47      ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2)
% 153.25/153.47      | X1 = X4 ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3153]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_634,plain,
% 153.25/153.47      ( X0 = X1
% 153.25/153.47      | c_List_Oappend(X0,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1856_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3149,plain,
% 153.25/153.47      ( X0 = X1
% 153.25/153.47      | c_List_Oappend(X0,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_634]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3150,plain,
% 153.25/153.47      ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2)
% 153.25/153.47      | X0 = X3 ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3149]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_632,plain,
% 153.25/153.47      ( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1860_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3145,plain,
% 153.25/153.47      ( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_632]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3146,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.25/153.47      | c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3145]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_630,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 153.25/153.47      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1861_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3141,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 153.25/153.47      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_630]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3142,plain,
% 153.25/153.47      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3141]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_627,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1866_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3135,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_627]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3136,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3135]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_624,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1867_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3129,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_624]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3130,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3129]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_622,plain,
% 153.25/153.47      ( hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(X0,X1,X2)),c_Type_Osko__Type__Xtyping__elims__3__2(X0,X1,X2)) = X0
% 153.25/153.47      | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1868_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3125,plain,
% 153.25/153.47      ( hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(X0,X1,X2)),c_Type_Osko__Type__Xtyping__elims__3__2(X0,X1,X2)) = X0
% 153.25/153.47      | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_622]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3126,plain,
% 153.25/153.47      ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 153.25/153.47      | hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(X2,X0,X1)),c_Type_Osko__Type__Xtyping__elims__3__2(X2,X0,X1)) = X2 ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3125]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_618,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1870_3) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3117,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_618]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3118,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3117]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_616,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1871_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3113,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_616]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3114,plain,
% 153.25/153.47      ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3113]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_612,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.25/153.47      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1873_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3105,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.25/153.47      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_612]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3106,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3105]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_610,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.25/153.47      | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1874_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3101,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.25/153.47      | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_610]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3102,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3101]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_606,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.25/153.47      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1876_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3093,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.25/153.47      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_606]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3094,plain,
% 153.25/153.47      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3093]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_603,plain,
% 153.25/153.47      ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 153.25/153.47      | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 153.25/153.47      | ~ c_Type_Otyping(X0,X2,X4) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1878_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3087,plain,
% 153.25/153.47      ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 153.25/153.47      | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 153.25/153.47      | ~ c_Type_Otyping(X0,X2,X4) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_603]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_600,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1879_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3081,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_600]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_597,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 153.25/153.47      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1881_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3075,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 153.25/153.47      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_597]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3076,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3075]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_596,plain,
% 153.25/153.47      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1882_0) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3073,plain,
% 153.25/153.47      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_596]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_593,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1882_3) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3067,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_593]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3068,plain,
% 153.25/153.47      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3067]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_589,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1884_3) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3059,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_589]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3060,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3059]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_585,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1885_3) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3051,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_585]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3052,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3051]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_582,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1887_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3045,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_582]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3046,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3045]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_579,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1888_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3039,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_579]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3040,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3039]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_576,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1889_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3033,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_576]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3034,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3033]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_573,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1890_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3027,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.25/153.47      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_573]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3028,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3027]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_568,plain,
% 153.25/153.47      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.25/153.47      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.25/153.47      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1892_0) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3017,plain,
% 153.25/153.47      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.25/153.47      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.25/153.47      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_568]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_566,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.25/153.47      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1892_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3013,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.25/153.47      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_566]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3014,plain,
% 153.25/153.47      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.25/153.47      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.25/153.47      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3013]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_562,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1893_3) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3005,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_562]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3006,plain,
% 153.25/153.47      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3005]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_560,plain,
% 153.25/153.47      ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X0,X2,X3),X3)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X3) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1894_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3001,plain,
% 153.25/153.47      ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X0,X2,X3),X3)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X3) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_560]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_3002,plain,
% 153.25/153.47      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.47      | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X0),X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_3001]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_558,plain,
% 153.25/153.47      ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2) = c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1895_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2997,plain,
% 153.25/153.47      ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2) = c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_558]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2998,plain,
% 153.25/153.47      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.47      | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2997]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_547,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1907_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2975,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_547]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_545,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1908_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2971,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_545]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_542,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1909_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2965,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_542]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2966,plain,
% 153.25/153.47      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2965]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_539,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1910_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2959,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_539]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2960,plain,
% 153.25/153.47      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2959]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_537,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.25/153.47      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1911_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2955,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.25/153.47      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_537]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2956,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2955]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_535,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.25/153.47      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1912_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2951,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.25/153.47      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_535]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2952,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2951]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_533,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.25/153.47      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1913_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2947,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.25/153.47      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_533]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2948,plain,
% 153.25/153.47      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2947]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_530,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1914_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2941,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_530]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_528,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1915_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2937,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_528]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2938,plain,
% 153.25/153.47      ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2937]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_525,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.25/153.47      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1917_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2931,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.25/153.47      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_525]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2932,plain,
% 153.25/153.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2931]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_522,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.25/153.47      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1920_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2925,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.25/153.47      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_522]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_519,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1921_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2919,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_519]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_516,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1922_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2913,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.25/153.47      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_516]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_514,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(X1,X0)),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Oappend(X1,X2,X0),X0)
% 153.25/153.47      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1923_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2909,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(X1,X0)),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Oappend(X1,X2,X0),X0)
% 153.25/153.47      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_514]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2910,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(X1,X0)),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Oappend(X1,X2,X0),X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2909]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_505,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X3) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1926_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2891,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X3) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_505]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2892,plain,
% 153.25/153.47      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2891]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_502,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X3) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1927_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2885,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X3) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_502]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2886,plain,
% 153.25/153.47      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2885]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_500,plain,
% 153.25/153.47      ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 153.25/153.47      | ~ c_Lambda_Obeta(X0,X3) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1928_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2881,plain,
% 153.25/153.47      ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 153.25/153.47      | ~ c_Lambda_Obeta(X0,X3) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_500]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_498,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 153.25/153.47      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1929_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2877,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 153.25/153.47      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_498]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2878,plain,
% 153.25/153.47      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2877]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_496,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1933_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2873,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_496]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_494,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1934_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2869,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_494]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_493,plain,
% 153.25/153.47      ( ~ class_Orderings_Opreorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1935_0) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2867,plain,
% 153.25/153.47      ( ~ class_Orderings_Opreorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_493]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_492,plain,
% 153.25/153.47      ( ~ class_Orderings_Opreorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1935_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2865,plain,
% 153.25/153.47      ( ~ class_Orderings_Opreorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_492]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_490,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.25/153.47      | ~ class_Orderings_Opreorder(X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1935_3) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2861,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.25/153.47      | ~ class_Orderings_Opreorder(X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_490]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2862,plain,
% 153.25/153.47      ( ~ class_Orderings_Opreorder(X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2861]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_489,plain,
% 153.25/153.47      ( ~ class_Orderings_Oorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1936_0) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2859,plain,
% 153.25/153.47      ( ~ class_Orderings_Oorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_489]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_488,plain,
% 153.25/153.47      ( ~ class_Orderings_Oorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1936_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2857,plain,
% 153.25/153.47      ( ~ class_Orderings_Oorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_488]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_486,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.25/153.47      | ~ class_Orderings_Oorder(X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1936_3) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2853,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.25/153.47      | ~ class_Orderings_Oorder(X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_486]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2854,plain,
% 153.25/153.47      ( ~ class_Orderings_Oorder(X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2853]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_483,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 153.25/153.47      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1937_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2847,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 153.25/153.47      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_483]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2848,plain,
% 153.25/153.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2847]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_480,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1938_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2841,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_480]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_474,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1941_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2829,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_474]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_472,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1942_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2825,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_472]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_470,plain,
% 153.25/153.47      ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1946_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2821,plain,
% 153.25/153.47      ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_470]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2822,plain,
% 153.25/153.47      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.47      | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2821]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_468,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.47      | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1951_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2817,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.47      | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_468]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_466,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Olist_OCons(X1,X2,X0),X0)
% 153.25/153.47      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1952_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2813,plain,
% 153.25/153.47      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Olist_OCons(X1,X2,X0),X0)
% 153.25/153.47      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_466]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2814,plain,
% 153.25/153.47      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Olist_OCons(X1,X2,X0),X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2813]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_463,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 153.25/153.47      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1954_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2807,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 153.25/153.47      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_463]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2808,plain,
% 153.25/153.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2807]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_460,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.25/153.47      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1955_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2801,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.25/153.47      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_460]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2802,plain,
% 153.25/153.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.25/153.47      | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2801]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_453,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.25/153.47      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1957_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2787,plain,
% 153.25/153.47      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.25/153.47      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_453]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2788,plain,
% 153.25/153.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.25/153.47      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2787]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_449,plain,
% 153.25/153.47      ( X0 = X1
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.25/153.47      | ~ class_Int_Onumber__ring(X2)
% 153.25/153.47      | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1959_3) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2779,plain,
% 153.25/153.47      ( X0 = X1
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.25/153.47      | ~ class_Int_Onumber__ring(X2)
% 153.25/153.47      | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_449]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2780,plain,
% 153.25/153.47      ( ~ class_Ring__and__Field_Oidom(X0)
% 153.25/153.47      | ~ class_Int_Onumber__ring(X0)
% 153.25/153.47      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.25/153.47      | X2 = X3 ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2779]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_447,plain,
% 153.25/153.47      ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 153.25/153.47      | ~ c_Lambda_Obeta(X0,X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1960_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2775,plain,
% 153.25/153.47      ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 153.25/153.47      | ~ c_Lambda_Obeta(X0,X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_447]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_445,plain,
% 153.25/153.47      ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 153.25/153.47      | ~ c_Lambda_Obeta(X1,X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1961_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2771,plain,
% 153.25/153.47      ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 153.25/153.47      | ~ c_Lambda_Obeta(X1,X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_445]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_439,plain,
% 153.25/153.47      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.25/153.47      | ~ class_Orderings_Opreorder(X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1963_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2759,plain,
% 153.25/153.47      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.25/153.47      | ~ class_Orderings_Opreorder(X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_439]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2760,plain,
% 153.25/153.47      ( ~ class_Orderings_Opreorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2759]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_436,plain,
% 153.25/153.47      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1964_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2753,plain,
% 153.25/153.47      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.25/153.47      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_436]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2754,plain,
% 153.25/153.47      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2753]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_433,plain,
% 153.25/153.47      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.25/153.47      | ~ class_Orderings_Oorder(X2) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1965_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2747,plain,
% 153.25/153.47      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.25/153.47      | ~ class_Orderings_Oorder(X2) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_433]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2748,plain,
% 153.25/153.47      ( ~ class_Orderings_Oorder(X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2747]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_430,plain,
% 153.25/153.47      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.47      | X1 = X2
% 153.25/153.47      | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1966_2) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2741,plain,
% 153.25/153.47      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.47      | X1 = X2
% 153.25/153.47      | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_430]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2742,plain,
% 153.25/153.47      ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 153.25/153.47      | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.47      | X1 = X4 ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2741]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_428,plain,
% 153.25/153.47      ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1967_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2737,plain,
% 153.25/153.47      ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.25/153.47      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_428]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_426,plain,
% 153.25/153.47      ( X0 = X1
% 153.25/153.47      | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 153.25/153.47      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1968_1) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2733,plain,
% 153.25/153.47      ( X0 = X1
% 153.25/153.47      | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 153.25/153.47      inference(copy,[status(esa)],[c_426]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_2734,plain,
% 153.25/153.47      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 153.25/153.47      | X1 = X4 ),
% 153.25/153.47      inference(rewriting,[status(thm)],[c_2733]) ).
% 153.25/153.47  
% 153.25/153.47  cnf(c_424,plain,
% 153.25/153.47      ( X0 = X1
% 153.25/153.47      | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1969_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2729,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_424]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2730,plain,
% 153.25/153.48      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 153.25/153.48      | X0 = X3 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2729]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_422,plain,
% 153.25/153.48      ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1970_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2725,plain,
% 153.25/153.48      ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_422]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2726,plain,
% 153.25/153.48      ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) | X1 = X3 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2725]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_420,plain,
% 153.25/153.48      ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1971_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2721,plain,
% 153.25/153.48      ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_420]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2722,plain,
% 153.25/153.48      ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) | X0 = X3 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2721]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_418,plain,
% 153.25/153.48      ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1972_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2717,plain,
% 153.25/153.48      ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_418]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2718,plain,
% 153.25/153.48      ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2717]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_415,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 153.25/153.48      | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1973_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2711,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 153.25/153.48      | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_415]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2712,plain,
% 153.25/153.48      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 153.25/153.48      | X1 = X3 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2711]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_412,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.25/153.48      | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1974_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2705,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.25/153.48      | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_412]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2706,plain,
% 153.25/153.48      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.25/153.48      | X2 = X3 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2705]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_409,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.25/153.48      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1975_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2699,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.25/153.48      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_409]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2700,plain,
% 153.25/153.48      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.25/153.48      | X2 = X3 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2699]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_407,plain,
% 153.25/153.48      ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1977_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2695,plain,
% 153.25/153.48      ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_407]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2696,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 153.25/153.48      | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2695]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_404,plain,
% 153.25/153.48      ( c_Type_Otyping(X0,X1,X2)
% 153.25/153.48      | ~ c_Type_Otyping(X0,X3,X2)
% 153.25/153.48      | ~ c_Lambda_Obeta(X3,X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1978_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2689,plain,
% 153.25/153.48      ( c_Type_Otyping(X0,X1,X2)
% 153.25/153.48      | ~ c_Type_Otyping(X0,X3,X2)
% 153.25/153.48      | ~ c_Lambda_Obeta(X3,X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_404]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_402,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1979_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2685,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_402]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2686,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2685]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_398,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1982_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2677,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_398]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_392,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | X1 = X0
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1984_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2665,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | X1 = X0
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_392]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2666,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | X1 = X0 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2665]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_389,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | X0 = X1
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1985_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2659,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | X0 = X1
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_389]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2660,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | X0 = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2659]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_387,plain,
% 153.25/153.48      ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1986_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2655,plain,
% 153.25/153.48      ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_387]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2656,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2655]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_385,plain,
% 153.25/153.48      ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1987_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2651,plain,
% 153.25/153.48      ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_385]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2652,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2651]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_378,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1990_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2637,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_378]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2638,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 153.25/153.48      | X0 = X2 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2637]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_376,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1991_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2633,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_376]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2634,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 153.25/153.48      | X1 = X2 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2633]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_374,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1992_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2629,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_374]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2630,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2629]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_372,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.25/153.48      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1994_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2625,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.25/153.48      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_372]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2626,plain,
% 153.25/153.48      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2625]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_370,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1995_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2621,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_370]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_368,plain,
% 153.25/153.48      ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 153.25/153.48      | ~ c_InductTermi_OIT(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1996_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2617,plain,
% 153.25/153.48      ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 153.25/153.48      | ~ c_InductTermi_OIT(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_368]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_354,plain,
% 153.25/153.48      ( hBOOL(hAPP(X0,X1))
% 153.25/153.48      | hBOOL(hAPP(X0,X2))
% 153.25/153.48      | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1999_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2589,plain,
% 153.25/153.48      ( hBOOL(hAPP(X0,X1))
% 153.25/153.48      | hBOOL(hAPP(X0,X2))
% 153.25/153.48      | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_354]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_351,plain,
% 153.25/153.48      ( hBOOL(hAPP(X0,X1))
% 153.25/153.48      | hBOOL(hAPP(X0,X2))
% 153.25/153.48      | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2000_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2583,plain,
% 153.25/153.48      ( hBOOL(hAPP(X0,X1))
% 153.25/153.48      | hBOOL(hAPP(X0,X2))
% 153.25/153.48      | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_351]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_332,plain,
% 153.25/153.48      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.48      | X1 = X2
% 153.25/153.48      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2007_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2545,plain,
% 153.25/153.48      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.48      | X1 = X2
% 153.25/153.48      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_332]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2546,plain,
% 153.25/153.48      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.25/153.48      | X2 = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2545]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_329,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.25/153.48      | X0 = X1
% 153.25/153.48      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2007_3) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2539,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.25/153.48      | X0 = X1
% 153.25/153.48      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_329]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2540,plain,
% 153.25/153.48      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.25/153.48      | X1 = X2 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2539]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_323,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2009_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2527,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_323]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2528,plain,
% 153.25/153.48      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 153.25/153.48      | X1 = X3 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2527]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_321,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2010_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2523,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_321]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2524,plain,
% 153.25/153.48      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 153.25/153.48      | X0 = X2 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2523]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_319,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_Type_Otype_OFun,X2),X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2011_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2519,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_Type_Otype_OFun,X2),X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_319]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2520,plain,
% 153.25/153.48      ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 153.25/153.48      | X1 = X3 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2519]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_317,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_Type_Otype_OFun,X0),X2) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2012_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2515,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | hAPP(hAPP(c_Type_Otype_OFun,X0),X2) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_317]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2516,plain,
% 153.25/153.48      ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 153.25/153.48      | X0 = X2 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2515]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_315,plain,
% 153.25/153.48      ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 153.25/153.48      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2013_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2511,plain,
% 153.25/153.48      ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 153.25/153.48      | ~ class_Orderings_Olinorder(X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_315]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2512,plain,
% 153.25/153.48      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.48      | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2511]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_313,plain,
% 153.25/153.48      ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 153.25/153.48      | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2016_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2507,plain,
% 153.25/153.48      ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 153.25/153.48      | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_313]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2508,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 153.25/153.48      | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2507]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_311,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2017_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2503,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_311]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2504,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2503]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_305,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.25/153.48      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2020_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2491,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.25/153.48      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_305]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2492,plain,
% 153.25/153.48      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2491]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_303,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.25/153.48      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2021_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2487,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.25/153.48      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_303]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2488,plain,
% 153.25/153.48      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2487]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_301,plain,
% 153.25/153.48      ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2022_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2483,plain,
% 153.25/153.48      ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_301]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2484,plain,
% 153.25/153.48      ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2483]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_296,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | X1 = X0
% 153.25/153.48      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2025_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2473,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | X1 = X0
% 153.25/153.48      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_296]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2474,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.25/153.48      | X1 = X0 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2473]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_293,plain,
% 153.25/153.48      ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2026_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2467,plain,
% 153.25/153.48      ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_293]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2468,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.25/153.48      | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2467]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_291,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2027_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2463,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_291]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2464,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 153.25/153.48      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2463]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_288,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.25/153.48      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.25/153.48      | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2028_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2457,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.25/153.48      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.25/153.48      | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_288]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2458,plain,
% 153.25/153.48      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 153.25/153.48      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.25/153.48      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2457]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_284,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 153.25/153.48      | ~ class_Int_Onumber__ring(X1)
% 153.25/153.48      | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2029_3) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2449,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 153.25/153.48      | ~ class_Int_Onumber__ring(X1)
% 153.25/153.48      | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_284]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2450,plain,
% 153.25/153.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 153.25/153.48      | ~ class_Int_Onumber__ring(X0)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 153.25/153.48      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2449]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_281,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 153.25/153.48      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2030_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2443,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 153.25/153.48      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_281]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2444,plain,
% 153.25/153.48      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 153.25/153.48      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2443]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_277,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2032_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2435,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_277]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_275,plain,
% 153.25/153.48      ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2032_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2431,plain,
% 153.25/153.48      ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_275]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2432,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2431]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_269,plain,
% 153.25/153.48      ( X0 = c_List_Olist_ONil(X1)
% 153.25/153.48      | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2035_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2419,plain,
% 153.25/153.48      ( X0 = c_List_Olist_ONil(X1)
% 153.25/153.48      | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_269]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2420,plain,
% 153.25/153.48      ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 153.25/153.48      | X1 = c_List_Olist_ONil(X2) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2419]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_267,plain,
% 153.25/153.48      ( X0 = c_List_Olist_ONil(X1)
% 153.25/153.48      | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2036_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2415,plain,
% 153.25/153.48      ( X0 = c_List_Olist_ONil(X1)
% 153.25/153.48      | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_267]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2416,plain,
% 153.25/153.48      ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 153.25/153.48      | X0 = c_List_Olist_ONil(X2) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2415]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_265,plain,
% 153.25/153.48      ( hBOOL(hAPP(X0,X1))
% 153.25/153.48      | ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0))) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2037_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2411,plain,
% 153.25/153.48      ( hBOOL(hAPP(X0,X1))
% 153.25/153.48      | ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0))) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_265]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2412,plain,
% 153.25/153.48      ( ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0)))
% 153.25/153.48      | hBOOL(hAPP(X0,X1)) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2411]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_255,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2040_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2391,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_255]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2392,plain,
% 153.25/153.48      ( c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2)
% 153.25/153.48      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2391]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_246,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2043_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2373,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_246]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2374,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2373]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_243,plain,
% 153.25/153.48      ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2044_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2367,plain,
% 153.25/153.48      ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_243]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2368,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2367]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_241,plain,
% 153.25/153.48      ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 153.25/153.48      | ~ c_InductTermi_OIT(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2045_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2363,plain,
% 153.25/153.48      ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 153.25/153.48      | ~ c_InductTermi_OIT(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_241]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_239,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2046_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2359,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_239]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2360,plain,
% 153.25/153.48      ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2359]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_237,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2047_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2355,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_237]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2356,plain,
% 153.25/153.48      ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2355]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_235,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2048_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2351,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_235]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2352,plain,
% 153.25/153.48      ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2351]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_231,plain,
% 153.25/153.48      ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2051_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2343,plain,
% 153.25/153.48      ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 153.25/153.48      inference(copy,[status(esa)],[c_231]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2344,plain,
% 153.25/153.48      ( c_List_Oappend(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil(X2) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2343]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_227,plain,
% 153.25/153.48      ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2053_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2335,plain,
% 153.25/153.48      ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 153.25/153.48      inference(copy,[status(esa)],[c_227]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2336,plain,
% 153.25/153.48      ( c_List_Oappend(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil(X2) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2335]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_223,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2059_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2327,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_223]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_221,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2059_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2323,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_221]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2324,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.25/153.48      | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2323]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_219,plain,
% 153.25/153.48      ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 153.25/153.48      | ~ c_Lambda_Obeta(X0,X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2060_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2319,plain,
% 153.25/153.48      ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 153.25/153.48      | ~ c_Lambda_Obeta(X0,X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_219]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_217,plain,
% 153.25/153.48      ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2063_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2315,plain,
% 153.25/153.48      ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_217]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2316,plain,
% 153.25/153.48      ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2315]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_214,plain,
% 153.25/153.48      ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.25/153.48      | ~ class_Power_Opower(X0)
% 153.25/153.48      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2067_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2309,plain,
% 153.25/153.48      ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.25/153.48      | ~ class_Power_Opower(X0)
% 153.25/153.48      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_214]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2310,plain,
% 153.25/153.48      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 153.25/153.48      | ~ class_Power_Opower(X0)
% 153.25/153.48      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2309]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_210,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.25/153.48      | ~ class_Power_Opower(X1)
% 153.25/153.48      | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2070_3) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2301,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.25/153.48      | ~ class_Power_Opower(X1)
% 153.25/153.48      | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_210]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2302,plain,
% 153.25/153.48      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 153.25/153.48      | ~ class_Power_Opower(X0)
% 153.25/153.48      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.25/153.48      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2301]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_208,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.25/153.48      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2071_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2297,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.25/153.48      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_208]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2298,plain,
% 153.25/153.48      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2297]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_206,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2076_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2293,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_206]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2294,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2293]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_204,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2077_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2289,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_204]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2290,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2289]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_200,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2079_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2281,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 153.25/153.48      inference(copy,[status(esa)],[c_200]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2282,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 153.25/153.48      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2281]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_197,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.25/153.48      | ~ class_Int_Onumber__ring(X0)
% 153.25/153.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2080_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2275,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.25/153.48      | ~ class_Int_Onumber__ring(X0)
% 153.25/153.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_197]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2276,plain,
% 153.25/153.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 153.25/153.48      | ~ class_Int_Onumber__ring(X0)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2275]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_193,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.25/153.48      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2082_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2267,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.25/153.48      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_193]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2268,plain,
% 153.25/153.48      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2267]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_191,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.25/153.48      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2083_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2263,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.25/153.48      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_191]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2264,plain,
% 153.25/153.48      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2263]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_189,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.25/153.48      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2084_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2259,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.25/153.48      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_189]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2260,plain,
% 153.25/153.48      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2259]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_187,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.25/153.48      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2090_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2255,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.25/153.48      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_187]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2256,plain,
% 153.25/153.48      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2255]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_185,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.25/153.48      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2091_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2251,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.25/153.48      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_185]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2252,plain,
% 153.25/153.48      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2251]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_183,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.25/153.48      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2092_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2247,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.25/153.48      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_183]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2248,plain,
% 153.25/153.48      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.25/153.48      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2247]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_181,plain,
% 153.25/153.48      ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 153.25/153.48      | ~ class_Orderings_Olinorder(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2099_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2243,plain,
% 153.25/153.48      ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 153.25/153.48      | ~ class_Orderings_Olinorder(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_181]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2244,plain,
% 153.25/153.48      ( ~ class_Orderings_Olinorder(X0)
% 153.25/153.48      | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2243]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_179,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2110_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2239,plain,
% 153.25/153.48      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.25/153.48      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_179]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2240,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.25/153.48      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2239]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_176,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 153.25/153.48      | ~ class_Nat_Osemiring__char__0(X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2118_2) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2233,plain,
% 153.25/153.48      ( X0 = X1
% 153.25/153.48      | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 153.25/153.48      | ~ class_Nat_Osemiring__char__0(X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_176]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2234,plain,
% 153.25/153.48      ( ~ class_Nat_Osemiring__char__0(X0)
% 153.25/153.48      | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 153.25/153.48      | X1 = X2 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2233]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_174,plain,
% 153.25/153.48      ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 153.25/153.48      | ~ c_Lambda_Obeta(X0,X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2123_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2229,plain,
% 153.25/153.48      ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 153.25/153.48      | ~ c_Lambda_Obeta(X0,X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_174]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_172,plain,
% 153.25/153.48      ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2124_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2225,plain,
% 153.25/153.48      ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_172]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_170,plain,
% 153.25/153.48      ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 153.25/153.48      | ~ class_Orderings_Opreorder(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2125_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2221,plain,
% 153.25/153.48      ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 153.25/153.48      | ~ class_Orderings_Opreorder(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_170]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_168,plain,
% 153.25/153.48      ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2126_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2217,plain,
% 153.25/153.48      ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_168]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_166,plain,
% 153.25/153.48      ( c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.25/153.48      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2128_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2213,plain,
% 153.25/153.48      ( c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.25/153.48      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_166]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2214,plain,
% 153.25/153.48      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.25/153.48      | c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2213]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_164,plain,
% 153.25/153.48      ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.25/153.48      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2129_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2209,plain,
% 153.25/153.48      ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.25/153.48      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_164]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2210,plain,
% 153.25/153.48      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 153.25/153.48      | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2209]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_162,plain,
% 153.25/153.48      ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2131_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2205,plain,
% 153.25/153.48      ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_162]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_160,plain,
% 153.25/153.48      ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2132_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2201,plain,
% 153.25/153.48      ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_160]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2202,plain,
% 153.25/153.48      ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2201]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_158,plain,
% 153.25/153.48      ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2133_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2197,plain,
% 153.25/153.48      ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_158]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2198,plain,
% 153.25/153.48      ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2197]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_154,plain,
% 153.25/153.48      ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2135_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2189,plain,
% 153.25/153.48      ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_154]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2190,plain,
% 153.25/153.48      ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2189]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_152,plain,
% 153.25/153.48      ( X0 = X1 | c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2136_1) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2185,plain,
% 153.25/153.48      ( X0 = X1 | c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_152]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2186,plain,
% 153.25/153.48      ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) | X0 = X1 ),
% 153.25/153.48      inference(rewriting,[status(thm)],[c_2185]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_151,plain,
% 153.25/153.48      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1804_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2183,plain,
% 153.25/153.48      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_151]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_150,plain,
% 153.25/153.48      ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1821_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2181,plain,
% 153.25/153.48      ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_150]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_149,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1943_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2179,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_149]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_148,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1944_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2177,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_148]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_147,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2049_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2175,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_147]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_144,plain,
% 153.25/153.48      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2057_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2169,plain,
% 153.25/153.48      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_144]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_142,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2062_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2165,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_142]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_140,plain,
% 153.25/153.48      ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2065_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2161,plain,
% 153.25/153.48      ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 153.25/153.48      inference(copy,[status(esa)],[c_140]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_138,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2069_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2157,plain,
% 153.25/153.48      ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_138]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_137,plain,
% 153.25/153.48      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2093_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2155,plain,
% 153.25/153.48      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_137]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_136,plain,
% 153.25/153.48      ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2094_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2153,plain,
% 153.25/153.48      ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_136]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_135,plain,
% 153.25/153.48      ( c_Type_Otype_OAtom(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2095_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2151,plain,
% 153.25/153.48      ( c_Type_Otype_OAtom(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_135]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_134,plain,
% 153.25/153.48      ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != c_Type_Otype_OAtom(X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2096_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2149,plain,
% 153.25/153.48      ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != c_Type_Otype_OAtom(X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_134]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_133,plain,
% 153.25/153.48      ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2097_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2147,plain,
% 153.25/153.48      ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_133]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_132,plain,
% 153.25/153.48      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2098_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2145,plain,
% 153.25/153.48      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_132]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_131,plain,
% 153.25/153.48      ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2127_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2143,plain,
% 153.25/153.48      ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_131]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_130,plain,
% 153.25/153.48      ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2137_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2141,plain,
% 153.25/153.48      ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_130]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_129,plain,
% 153.25/153.48      ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2138_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2139,plain,
% 153.25/153.48      ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_129]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_127,plain,
% 153.25/153.48      ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2141_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2135,plain,
% 153.25/153.48      ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_127]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_125,plain,
% 153.25/153.48      ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2143_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2131,plain,
% 153.25/153.48      ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_125]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_123,plain,
% 153.25/153.48      ( c_Suc(X0) != X0 ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2146_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2127,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_123]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_118,plain,
% 153.25/153.48      ( c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1794_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2120,plain,
% 153.25/153.48      ( c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_118]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_97,plain,
% 153.25/153.48      ( c_List_Oappend(c_List_Oreplicate(X0,X1,X2),c_List_Oreplicate(X3,X1,X2),X2) = c_List_Oappend(c_List_Oreplicate(X3,X1,X2),c_List_Oreplicate(X0,X1,X2),X2) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1857_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2096,plain,
% 153.25/153.48      ( c_List_Oappend(c_List_Oreplicate(X0,X1,X2),c_List_Oreplicate(X3,X1,X2),X2) = c_List_Oappend(c_List_Oreplicate(X3,X1,X2),c_List_Oreplicate(X0,X1,X2),X2) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_97]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_77,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1916_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2073,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_77]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_73,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1931_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2067,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_73]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_72,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1932_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2065,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_72]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_71,plain,
% 153.25/153.48      ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_1945_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2063,plain,
% 153.25/153.48      ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_71]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_59,plain,
% 153.25/153.48      ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2015_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2050,plain,
% 153.25/153.48      ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_59]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_57,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2056_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2047,plain,
% 153.25/153.48      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_57]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_56,plain,
% 153.25/153.48      ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2066_0) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_2045,plain,
% 153.25/153.48      ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 153.25/153.48      inference(copy,[status(esa)],[c_56]) ).
% 153.25/153.48  
% 153.25/153.48  cnf(c_47,plain,
% 153.25/153.48      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.25/153.48      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2089_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_2035,plain,
% 153.25/153.49      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_47]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_45,plain,
% 153.25/153.49      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2101_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_2031,plain,
% 153.25/153.49      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_45]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_35,plain,
% 153.25/153.49      ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2112_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_2019,plain,
% 153.25/153.49      ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_35]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_30,plain,
% 153.25/153.49      ( c_fequal(X0,X0,X1) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2117_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_2013,plain,
% 153.25/153.49      ( c_fequal(X0,X0,X1) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_30]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_28,plain,
% 153.25/153.49      ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2120_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_2010,plain,
% 153.25/153.49      ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_28]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_23,plain,
% 153.25/153.49      ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2144_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_2004,plain,
% 153.25/153.49      ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_23]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_22,plain,
% 153.25/153.49      ( class_Power_Opower(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2147_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_2002,plain,
% 153.25/153.49      ( class_Power_Opower(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_22]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_21,plain,
% 153.25/153.49      ( class_Orderings_Oorder(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2148_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_2000,plain,
% 153.25/153.49      ( class_Orderings_Oorder(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_21]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_20,plain,
% 153.25/153.49      ( class_Orderings_Olinorder(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2149_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1998,plain,
% 153.25/153.49      ( class_Orderings_Olinorder(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_20]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_19,plain,
% 153.25/153.49      ( class_Orderings_Opreorder(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2150_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1996,plain,
% 153.25/153.49      ( class_Orderings_Opreorder(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_19]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_18,plain,
% 153.25/153.49      ( class_Nat_Osemiring__char__0(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2151_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1994,plain,
% 153.25/153.49      ( class_Nat_Osemiring__char__0(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_18]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_17,plain,
% 153.25/153.49      ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2152_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1992,plain,
% 153.25/153.49      ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_17]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_16,plain,
% 153.25/153.49      ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2153_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1990,plain,
% 153.25/153.49      ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_16]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_15,plain,
% 153.25/153.49      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2154_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1988,plain,
% 153.25/153.49      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_15]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_14,plain,
% 153.25/153.49      ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2155_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1986,plain,
% 153.25/153.49      ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_14]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_13,plain,
% 153.25/153.49      ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2156_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1984,plain,
% 153.25/153.49      ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_13]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_12,plain,
% 153.25/153.49      ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2157_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1982,plain,
% 153.25/153.49      ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_12]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_11,plain,
% 153.25/153.49      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2158_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1980,plain,
% 153.25/153.49      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_11]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_10,plain,
% 153.25/153.49      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2159_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1978,plain,
% 153.25/153.49      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_10]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_9,plain,
% 153.25/153.49      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2160_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1976,plain,
% 153.25/153.49      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_9]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_8,plain,
% 153.25/153.49      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2161_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1974,plain,
% 153.25/153.49      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_8]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_7,plain,
% 153.25/153.49      ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2162_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1972,plain,
% 153.25/153.49      ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_7]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_6,plain,
% 153.25/153.49      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2163_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1970,plain,
% 153.25/153.49      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_6]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_5,plain,
% 153.25/153.49      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2164_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1968,plain,
% 153.25/153.49      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_5]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_4,plain,
% 153.25/153.49      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2165_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1966,plain,
% 153.25/153.49      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_4]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_3,plain,
% 153.25/153.49      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2166_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1964,plain,
% 153.25/153.49      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_3]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_2,plain,
% 153.25/153.49      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2167_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1962,plain,
% 153.25/153.49      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_2]) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1,plain,
% 153.25/153.49      ( c_InductTermi_OIT(v_u____) ),
% 153.25/153.49      file('/export/starexec/sandbox/tmp/iprover_modulo_46a040.p', c_0_2168_0) ).
% 153.25/153.49  
% 153.25/153.49  cnf(c_1960,plain,
% 153.25/153.49      ( c_InductTermi_OIT(v_u____) ),
% 153.25/153.49      inference(copy,[status(esa)],[c_1]) ).
% 153.25/153.49  
% 153.25/153.49  
% 153.25/153.49  
% 153.25/153.49  % ------                             Statistics
% 153.25/153.49  
% 153.25/153.49  % ------ General
% 153.25/153.49  
% 153.25/153.49  % num_of_input_clauses:                 839
% 153.25/153.49  % num_of_input_neg_conjectures:         1
% 153.25/153.49  % num_of_splits:                        0
% 153.25/153.49  % num_of_split_atoms:                   0
% 153.25/153.49  % num_of_sem_filtered_clauses:          0
% 153.25/153.49  % num_of_subtypes:                      0
% 153.25/153.49  % monotx_restored_types:                0
% 153.25/153.49  % sat_num_of_epr_types:                 0
% 153.25/153.49  % sat_num_of_non_cyclic_types:          0
% 153.25/153.49  % sat_guarded_non_collapsed_types:      0
% 153.25/153.49  % is_epr:                               0
% 153.25/153.49  % is_horn:                              0
% 153.25/153.49  % has_eq:                               1
% 153.25/153.49  % num_pure_diseq_elim:                  0
% 153.25/153.49  % simp_replaced_by:                     0
% 153.25/153.49  % res_preprocessed:                     2
% 153.25/153.49  % prep_upred:                           0
% 153.25/153.49  % prep_unflattend:                      0
% 153.25/153.49  % pred_elim_cands:                      0
% 153.25/153.49  % pred_elim:                            0
% 153.25/153.49  % pred_elim_cl:                         0
% 153.25/153.49  % pred_elim_cycles:                     0
% 153.25/153.49  % forced_gc_time:                       0
% 153.25/153.49  % gc_basic_clause_elim:                 0
% 153.25/153.49  % parsing_time:                         0.043
% 153.25/153.49  % sem_filter_time:                      0.
% 153.25/153.49  % pred_elim_time:                       0.
% 153.25/153.49  % out_proof_time:                       0.
% 153.25/153.49  % monotx_time:                          0.
% 153.25/153.49  % subtype_inf_time:                     0.
% 153.25/153.49  % unif_index_cands_time:                0.
% 153.25/153.49  % unif_index_add_time:                  0.
% 153.25/153.49  % total_time:                           2.876
% 153.25/153.49  % num_of_symbols:                       116
% 153.25/153.49  % num_of_terms:                         2469
% 153.25/153.49  
% 153.25/153.49  % ------ Propositional Solver
% 153.25/153.49  
% 153.25/153.49  % prop_solver_calls:                    1
% 153.25/153.49  % prop_fast_solver_calls:               3
% 153.25/153.49  % prop_num_of_clauses:                  827
% 153.25/153.49  % prop_preprocess_simplified:           2459
% 153.25/153.49  % prop_fo_subsumed:                     0
% 153.25/153.49  % prop_solver_time:                     0.
% 153.25/153.49  % prop_fast_solver_time:                0.
% 153.25/153.49  % prop_unsat_core_time:                 0.
% 153.25/153.49  
% 153.25/153.49  % ------ QBF 
% 153.25/153.49  
% 153.25/153.49  % qbf_q_res:                            0
% 153.25/153.49  % qbf_num_tautologies:                  0
% 153.25/153.49  % qbf_prep_cycles:                      0
% 153.25/153.49  
% 153.25/153.49  % ------ BMC1
% 153.25/153.49  
% 153.25/153.49  % bmc1_current_bound:                   -1
% 153.25/153.49  % bmc1_last_solved_bound:               -1
% 153.25/153.49  % bmc1_unsat_core_size:                 -1
% 153.25/153.49  % bmc1_unsat_core_parents_size:         -1
% 153.25/153.49  % bmc1_merge_next_fun:                  0
% 153.25/153.49  % bmc1_unsat_core_clauses_time:         0.
% 153.25/153.49  
% 153.25/153.49  % ------ Instantiation
% 153.25/153.49  
% 153.25/153.49  % inst_num_of_clauses:                  712
% 153.25/153.49  % inst_num_in_passive:                  0
% 153.25/153.49  % inst_num_in_active:                   0
% 153.25/153.49  % inst_num_in_unprocessed:              839
% 153.25/153.49  % inst_num_of_loops:                    0
% 153.25/153.49  % inst_num_of_learning_restarts:        0
% 153.25/153.49  % inst_num_moves_active_passive:        0
% 153.25/153.49  % inst_lit_activity:                    0
% 153.25/153.49  % inst_lit_activity_moves:              0
% 153.25/153.49  % inst_num_tautologies:                 0
% 153.25/153.49  % inst_num_prop_implied:                0
% 153.25/153.49  % inst_num_existing_simplified:         0
% 153.25/153.49  % inst_num_eq_res_simplified:           0
% 153.25/153.49  % inst_num_child_elim:                  0
% 153.25/153.49  % inst_num_of_dismatching_blockings:    0
% 153.25/153.49  % inst_num_of_non_proper_insts:         0
% 153.25/153.49  % inst_num_of_duplicates:               0
% 153.25/153.49  % inst_inst_num_from_inst_to_res:       0
% 153.25/153.49  % inst_dismatching_checking_time:       0.
% 153.25/153.49  
% 153.25/153.49  % ------ Resolution
% 153.25/153.49  
% 153.25/153.49  % res_num_of_clauses:                   750
% 153.25/153.49  % res_num_in_passive:                   0
% 153.25/153.49  % res_num_in_active:                    326
% 153.25/153.49  % res_num_of_loops:                     3
% 153.25/153.49  % res_forward_subset_subsumed:          435
% 153.25/153.49  % res_backward_subset_subsumed:         0
% 153.25/153.49  % res_forward_subsumed:                 1
% 153.25/153.49  % res_backward_subsumed:                0
% 153.25/153.49  % res_forward_subsumption_resolution:   0
% 153.25/153.49  % res_backward_subsumption_resolution:  0
% 153.25/153.49  % res_clause_to_clause_subsumption:     1
% 153.25/153.49  % res_orphan_elimination:               0
% 153.25/153.49  % res_tautology_del:                    0
% 153.25/153.49  % res_num_eq_res_simplified:            0
% 153.25/153.49  % res_num_sel_changes:                  0
% 153.25/153.49  % res_moves_from_active_to_pass:        0
% 153.25/153.49  
% 153.25/153.49  % Status Unknown
% 153.25/153.49  % Last status :
% 153.25/153.49  % SZS status Unknown
%------------------------------------------------------------------------------