TSTP Solution File: SCT159+1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SCT159+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n008.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 : Mon Jul 18 21:38:17 EDT 2022

% Result   : Unknown 2.66s 2.92s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SCT159+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jul  1 21:12:38 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.36  % Running in mono-core mode
% 0.21/0.55  % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.55  % FOF problem with conjecture
% 0.21/0.55  % 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_71fedb.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_b8d322 | grep -v "SZS"
% 0.40/0.57  
% 0.40/0.57  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.40/0.57  
% 0.40/0.57  % 
% 0.40/0.57  % ------  iProver source info 
% 0.40/0.57  
% 0.40/0.57  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.40/0.57  % git: non_committed_changes: true
% 0.40/0.57  % git: last_make_outside_of_git: true
% 0.40/0.57  
% 0.40/0.57  % 
% 0.40/0.57  % ------ Input Options
% 0.40/0.57  
% 0.40/0.57  % --out_options                         all
% 0.40/0.57  % --tptp_safe_out                       true
% 0.40/0.57  % --problem_path                        ""
% 0.40/0.57  % --include_path                        ""
% 0.40/0.57  % --clausifier                          .//eprover
% 0.40/0.57  % --clausifier_options                  --tstp-format  
% 0.40/0.57  % --stdin                               false
% 0.40/0.57  % --dbg_backtrace                       false
% 0.40/0.57  % --dbg_dump_prop_clauses               false
% 0.40/0.57  % --dbg_dump_prop_clauses_file          -
% 0.40/0.57  % --dbg_out_stat                        false
% 0.40/0.57  
% 0.40/0.57  % ------ General Options
% 0.40/0.57  
% 0.40/0.57  % --fof                                 false
% 0.40/0.57  % --time_out_real                       150.
% 0.40/0.57  % --time_out_prep_mult                  0.2
% 0.40/0.57  % --time_out_virtual                    -1.
% 0.40/0.57  % --schedule                            none
% 0.40/0.57  % --ground_splitting                    input
% 0.40/0.57  % --splitting_nvd                       16
% 0.40/0.57  % --non_eq_to_eq                        false
% 0.40/0.57  % --prep_gs_sim                         true
% 0.40/0.57  % --prep_unflatten                      false
% 0.40/0.57  % --prep_res_sim                        true
% 0.40/0.57  % --prep_upred                          true
% 0.40/0.57  % --res_sim_input                       true
% 0.40/0.57  % --clause_weak_htbl                    true
% 0.40/0.57  % --gc_record_bc_elim                   false
% 0.40/0.57  % --symbol_type_check                   false
% 0.40/0.57  % --clausify_out                        false
% 0.40/0.57  % --large_theory_mode                   false
% 0.40/0.57  % --prep_sem_filter                     none
% 0.40/0.57  % --prep_sem_filter_out                 false
% 0.40/0.57  % --preprocessed_out                    false
% 0.40/0.57  % --sub_typing                          false
% 0.40/0.57  % --brand_transform                     false
% 0.40/0.57  % --pure_diseq_elim                     true
% 0.40/0.57  % --min_unsat_core                      false
% 0.40/0.57  % --pred_elim                           true
% 0.40/0.57  % --add_important_lit                   false
% 0.40/0.57  % --soft_assumptions                    false
% 0.40/0.57  % --reset_solvers                       false
% 0.40/0.57  % --bc_imp_inh                          []
% 0.40/0.57  % --conj_cone_tolerance                 1.5
% 0.40/0.57  % --prolific_symb_bound                 500
% 0.40/0.57  % --lt_threshold                        2000
% 0.40/0.57  
% 0.40/0.57  % ------ SAT Options
% 0.40/0.57  
% 0.40/0.57  % --sat_mode                            false
% 0.40/0.57  % --sat_fm_restart_options              ""
% 0.40/0.57  % --sat_gr_def                          false
% 0.40/0.57  % --sat_epr_types                       true
% 0.40/0.57  % --sat_non_cyclic_types                false
% 0.40/0.57  % --sat_finite_models                   false
% 0.40/0.57  % --sat_fm_lemmas                       false
% 0.40/0.57  % --sat_fm_prep                         false
% 0.40/0.57  % --sat_fm_uc_incr                      true
% 0.40/0.57  % --sat_out_model                       small
% 0.40/0.57  % --sat_out_clauses                     false
% 0.40/0.57  
% 0.40/0.57  % ------ QBF Options
% 0.40/0.57  
% 0.40/0.57  % --qbf_mode                            false
% 0.40/0.57  % --qbf_elim_univ                       true
% 0.40/0.57  % --qbf_sk_in                           true
% 0.40/0.57  % --qbf_pred_elim                       true
% 0.40/0.57  % --qbf_split                           32
% 0.40/0.57  
% 0.40/0.57  % ------ BMC1 Options
% 0.40/0.57  
% 0.40/0.57  % --bmc1_incremental                    false
% 0.40/0.57  % --bmc1_axioms                         reachable_all
% 0.40/0.57  % --bmc1_min_bound                      0
% 0.40/0.57  % --bmc1_max_bound                      -1
% 0.40/0.57  % --bmc1_max_bound_default              -1
% 0.40/0.57  % --bmc1_symbol_reachability            true
% 0.40/0.57  % --bmc1_property_lemmas                false
% 0.40/0.57  % --bmc1_k_induction                    false
% 0.40/0.57  % --bmc1_non_equiv_states               false
% 0.40/0.57  % --bmc1_deadlock                       false
% 0.40/0.57  % --bmc1_ucm                            false
% 0.40/0.57  % --bmc1_add_unsat_core                 none
% 0.40/0.57  % --bmc1_unsat_core_children            false
% 0.40/0.57  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.40/0.57  % --bmc1_out_stat                       full
% 0.40/0.57  % --bmc1_ground_init                    false
% 0.40/0.57  % --bmc1_pre_inst_next_state            false
% 0.40/0.57  % --bmc1_pre_inst_state                 false
% 0.40/0.57  % --bmc1_pre_inst_reach_state           false
% 0.40/0.57  % --bmc1_out_unsat_core                 false
% 0.40/0.57  % --bmc1_aig_witness_out                false
% 0.40/0.57  % --bmc1_verbose                        false
% 0.40/0.57  % --bmc1_dump_clauses_tptp              false
% 0.40/0.58  % --bmc1_dump_unsat_core_tptp           false
% 0.40/0.58  % --bmc1_dump_file                      -
% 0.40/0.58  % --bmc1_ucm_expand_uc_limit            128
% 0.40/0.58  % --bmc1_ucm_n_expand_iterations        6
% 0.40/0.58  % --bmc1_ucm_extend_mode                1
% 0.40/0.58  % --bmc1_ucm_init_mode                  2
% 0.40/0.58  % --bmc1_ucm_cone_mode                  none
% 0.40/0.58  % --bmc1_ucm_reduced_relation_type      0
% 0.40/0.58  % --bmc1_ucm_relax_model                4
% 0.40/0.58  % --bmc1_ucm_full_tr_after_sat          true
% 0.40/0.58  % --bmc1_ucm_expand_neg_assumptions     false
% 0.40/0.58  % --bmc1_ucm_layered_model              none
% 0.40/0.58  % --bmc1_ucm_max_lemma_size             10
% 0.40/0.58  
% 0.40/0.58  % ------ AIG Options
% 0.40/0.58  
% 0.40/0.58  % --aig_mode                            false
% 0.40/0.58  
% 0.40/0.58  % ------ Instantiation Options
% 0.40/0.58  
% 0.40/0.58  % --instantiation_flag                  true
% 0.40/0.58  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.40/0.58  % --inst_solver_per_active              750
% 0.40/0.58  % --inst_solver_calls_frac              0.5
% 0.40/0.58  % --inst_passive_queue_type             priority_queues
% 0.40/0.58  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.40/0.58  % --inst_passive_queues_freq            [25;2]
% 0.40/0.58  % --inst_dismatching                    true
% 0.40/0.58  % --inst_eager_unprocessed_to_passive   true
% 0.40/0.58  % --inst_prop_sim_given                 true
% 0.40/0.58  % --inst_prop_sim_new                   false
% 0.40/0.58  % --inst_orphan_elimination             true
% 0.40/0.58  % --inst_learning_loop_flag             true
% 0.40/0.58  % --inst_learning_start                 3000
% 0.40/0.58  % --inst_learning_factor                2
% 0.40/0.58  % --inst_start_prop_sim_after_learn     3
% 0.40/0.58  % --inst_sel_renew                      solver
% 0.40/0.58  % --inst_lit_activity_flag              true
% 0.40/0.58  % --inst_out_proof                      true
% 0.40/0.58  
% 0.40/0.58  % ------ Resolution Options
% 0.40/0.58  
% 0.40/0.58  % --resolution_flag                     true
% 0.40/0.58  % --res_lit_sel                         kbo_max
% 0.40/0.58  % --res_to_prop_solver                  none
% 0.40/0.58  % --res_prop_simpl_new                  false
% 0.40/0.58  % --res_prop_simpl_given                false
% 0.40/0.58  % --res_passive_queue_type              priority_queues
% 0.40/0.58  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.40/0.58  % --res_passive_queues_freq             [15;5]
% 0.40/0.58  % --res_forward_subs                    full
% 0.40/0.58  % --res_backward_subs                   full
% 0.40/0.58  % --res_forward_subs_resolution         true
% 0.40/0.58  % --res_backward_subs_resolution        true
% 0.40/0.58  % --res_orphan_elimination              false
% 0.40/0.58  % --res_time_limit                      1000.
% 0.40/0.58  % --res_out_proof                       true
% 0.40/0.58  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_71fedb.s
% 0.40/0.58  % --modulo                              true
% 0.40/0.58  
% 0.40/0.58  % ------ Combination Options
% 0.40/0.58  
% 0.40/0.58  % --comb_res_mult                       1000
% 0.40/0.58  % --comb_inst_mult                      300
% 0.40/0.58  % ------ 
% 0.40/0.58  
% 0.40/0.58  % ------ Parsing...% 
% 0.40/0.58  
% 0.40/0.58  
% 0.40/0.58  % ------                             Statistics
% 0.40/0.58  
% 0.40/0.58  % ------ General
% 0.40/0.58  
% 0.40/0.58  % num_of_input_clauses:                 304
% 0.40/0.58  % num_of_input_neg_conjectures:         0
% 0.40/0.58  % num_of_splits:                        0
% 0.40/0.58  % num_of_split_atoms:                   0
% 0.40/0.58  % num_of_sem_filtered_clauses:          0
% 0.40/0.58  % num_of_subtypes:                      0
% 0.40/0.58  % monotx_restored_types:                0
% 0.40/0.58  % sat_num_of_epr_types:                 0
% 0.40/0.58  % sat_num_of_non_cyclic_types:          0
% 0.40/0.58  % sat_guarded_non_collapsed_types:      0
% 0.40/0.58  % is_epr:                               0
% 0.40/0.58  % is_horn:                              0
% 0.40/0.58  % has_eq:                               0
% 0.40/0.58  % num_pure_diseq_elim:                  0
% 0.40/0.58  % simp_replaced_by:                     0
% 0.40/0.58  % res_preprocessed:                     0
% 0.40/0.58  % prep_upred:                           0
% 0.40/0.58  % prep_unflattend:                      0
% 0.40/0.58  % pred_elim_cands:                      0
% 0.40/0.58  % pred_elim:                            0
% 0.40/0.58  % pred_elim_cl:                         0
% 0.40/0.58  % pred_elim_cycles:                     0
% 0.40/0.58  % forced_gc_time:                       0
% 0.40/0.58  % gc_basic_clause_elim:                 0
% 0.40/0.58  % parsing_time:                         0.
% 0.40/0.58  % sem_filter_time:                      0.
% 0.40/0.58  % pred_elim_time:                       0.
% 0.40/0.58  % out_proof_time:                       0.
% 0.40/0.58  % monotx_time:                          0.
% 0.40/0.58  % subtype_inf_time:                     0.
% 0.40/0.58  % unif_index_cands_time:                0.
% 0.40/0.58  % uFatal error: exception Failure("Parse error in: /export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p line: 307 near token: '!='")
% 0.40/0.58  nif_index_add_time:                  0.
% 0.40/0.58  % total_time:                           0.028
% 0.40/0.58  % num_of_symbols:                       98
% 0.40/0.58  % num_of_terms:                         753
% 0.40/0.58  
% 0.40/0.58  % ------ Propositional Solver
% 0.40/0.58  
% 0.40/0.58  % prop_solver_calls:                    0
% 0.40/0.58  % prop_fast_solver_calls:               0
% 0.40/0.58  % prop_num_of_clauses:                  0
% 0.40/0.58  % prop_preprocess_simplified:           0
% 0.40/0.58  % prop_fo_subsumed:                     0
% 0.40/0.58  % prop_solver_time:                     0.
% 0.40/0.58  % prop_fast_solver_time:                0.
% 0.40/0.58  % prop_unsat_core_time:                 0.
% 0.40/0.58  
% 0.40/0.58  % ------ QBF 
% 0.40/0.58  
% 0.40/0.58  % qbf_q_res:                            0
% 0.40/0.58  % qbf_num_tautologies:                  0
% 0.40/0.58  % qbf_prep_cycles:                      0
% 0.40/0.58  
% 0.40/0.58  % ------ BMC1
% 0.40/0.58  
% 0.40/0.58  % bmc1_current_bound:                   -1
% 0.40/0.58  % bmc1_last_solved_bound:               -1
% 0.40/0.58  % bmc1_unsat_core_size:                 -1
% 0.40/0.58  % bmc1_unsat_core_parents_size:         -1
% 0.40/0.58  % bmc1_merge_next_fun:                  0
% 0.40/0.58  % bmc1_unsat_core_clauses_time:         0.
% 0.40/0.58  
% 0.40/0.58  % ------ Instantiation
% 0.40/0.58  
% 0.40/0.58  % inst_num_of_clauses:                  undef
% 0.40/0.58  % inst_num_in_passive:                  undef
% 0.40/0.58  % inst_num_in_active:                   0
% 0.40/0.58  % inst_num_in_unprocessed:              0
% 0.40/0.58  % inst_num_of_loops:                    0
% 0.40/0.58  % inst_num_of_learning_restarts:        0
% 0.40/0.58  % inst_num_moves_active_passive:        0
% 0.40/0.58  % inst_lit_activity:                    0
% 0.40/0.58  % inst_lit_activity_moves:              0
% 0.40/0.58  % inst_num_tautologies:                 0
% 0.40/0.58  % inst_num_prop_implied:                0
% 0.40/0.58  % inst_num_existing_simplified:         0
% 0.40/0.58  % inst_num_eq_res_simplified:           0
% 0.40/0.58  % inst_num_child_elim:                  0
% 0.40/0.58  % inst_num_of_dismatching_blockings:    0
% 0.40/0.58  % inst_num_of_non_proper_insts:         0
% 0.40/0.58  % inst_num_of_duplicates:               0
% 0.40/0.58  % inst_inst_num_from_inst_to_res:       0
% 0.40/0.58  % inst_dismatching_checking_time:       0.
% 0.40/0.58  
% 0.40/0.58  % ------ Resolution
% 0.40/0.58  
% 0.40/0.58  % res_num_of_clauses:                   undef
% 0.40/0.58  % res_num_in_passive:                   undef
% 0.40/0.58  % res_num_in_active:                    0
% 0.40/0.58  % res_num_of_loops:                     0
% 0.40/0.58  % res_forward_subset_subsumed:          0
% 0.40/0.58  % res_backward_subset_subsumed:         0
% 0.40/0.58  % res_forward_subsumed:                 0
% 0.40/0.58  % res_backward_subsumed:                0
% 0.40/0.58  % res_forward_subsumption_resolution:   0
% 0.40/0.58  % res_backward_subsumption_resolution:  0
% 0.40/0.58  % res_clause_to_clause_subsumption:     0
% 0.40/0.58  % res_orphan_elimination:               0
% 0.40/0.58  % res_tautology_del:                    0
% 0.40/0.58  % res_num_eq_res_simplified:            0
% 0.40/0.58  % res_num_sel_changes:                  0
% 0.40/0.58  % res_moves_from_active_to_pass:        0
% 0.40/0.58  
% 0.40/0.58  % Status Unknown
% 0.44/0.71  % Orienting using strategy ClausalAll
% 0.44/0.71  % FOF problem with conjecture
% 0.44/0.71  % 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_71fedb.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_6080a3 | grep -v "SZS"
% 0.57/0.74  
% 0.57/0.74  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.57/0.74  
% 0.57/0.74  % 
% 0.57/0.74  % ------  iProver source info 
% 0.57/0.74  
% 0.57/0.74  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.57/0.74  % git: non_committed_changes: true
% 0.57/0.74  % git: last_make_outside_of_git: true
% 0.57/0.74  
% 0.57/0.74  % 
% 0.57/0.74  % ------ Input Options
% 0.57/0.74  
% 0.57/0.74  % --out_options                         all
% 0.57/0.74  % --tptp_safe_out                       true
% 0.57/0.74  % --problem_path                        ""
% 0.57/0.74  % --include_path                        ""
% 0.57/0.74  % --clausifier                          .//eprover
% 0.57/0.74  % --clausifier_options                  --tstp-format  
% 0.57/0.74  % --stdin                               false
% 0.57/0.74  % --dbg_backtrace                       false
% 0.57/0.74  % --dbg_dump_prop_clauses               false
% 0.57/0.74  % --dbg_dump_prop_clauses_file          -
% 0.57/0.74  % --dbg_out_stat                        false
% 0.57/0.74  
% 0.57/0.74  % ------ General Options
% 0.57/0.74  
% 0.57/0.74  % --fof                                 false
% 0.57/0.74  % --time_out_real                       150.
% 0.57/0.74  % --time_out_prep_mult                  0.2
% 0.57/0.74  % --time_out_virtual                    -1.
% 0.57/0.74  % --schedule                            none
% 0.57/0.74  % --ground_splitting                    input
% 0.57/0.74  % --splitting_nvd                       16
% 0.57/0.74  % --non_eq_to_eq                        false
% 0.57/0.74  % --prep_gs_sim                         true
% 0.57/0.74  % --prep_unflatten                      false
% 0.57/0.74  % --prep_res_sim                        true
% 0.57/0.74  % --prep_upred                          true
% 0.57/0.74  % --res_sim_input                       true
% 0.57/0.74  % --clause_weak_htbl                    true
% 0.57/0.74  % --gc_record_bc_elim                   false
% 0.57/0.74  % --symbol_type_check                   false
% 0.57/0.74  % --clausify_out                        false
% 0.57/0.74  % --large_theory_mode                   false
% 0.57/0.74  % --prep_sem_filter                     none
% 0.57/0.74  % --prep_sem_filter_out                 false
% 0.57/0.74  % --preprocessed_out                    false
% 0.57/0.74  % --sub_typing                          false
% 0.57/0.74  % --brand_transform                     false
% 0.57/0.74  % --pure_diseq_elim                     true
% 0.57/0.74  % --min_unsat_core                      false
% 0.57/0.74  % --pred_elim                           true
% 0.57/0.74  % --add_important_lit                   false
% 0.57/0.74  % --soft_assumptions                    false
% 0.57/0.74  % --reset_solvers                       false
% 0.57/0.74  % --bc_imp_inh                          []
% 0.57/0.74  % --conj_cone_tolerance                 1.5
% 0.57/0.74  % --prolific_symb_bound                 500
% 0.57/0.74  % --lt_threshold                        2000
% 0.57/0.74  
% 0.57/0.74  % ------ SAT Options
% 0.57/0.74  
% 0.57/0.74  % --sat_mode                            false
% 0.57/0.74  % --sat_fm_restart_options              ""
% 0.57/0.74  % --sat_gr_def                          false
% 0.57/0.74  % --sat_epr_types                       true
% 0.57/0.74  % --sat_non_cyclic_types                false
% 0.57/0.74  % --sat_finite_models                   false
% 0.57/0.74  % --sat_fm_lemmas                       false
% 0.57/0.74  % --sat_fm_prep                         false
% 0.57/0.74  % --sat_fm_uc_incr                      true
% 0.57/0.74  % --sat_out_model                       small
% 0.57/0.74  % --sat_out_clauses                     false
% 0.57/0.74  
% 0.57/0.74  % ------ QBF Options
% 0.57/0.74  
% 0.57/0.74  % --qbf_mode                            false
% 0.57/0.74  % --qbf_elim_univ                       true
% 0.57/0.74  % --qbf_sk_in                           true
% 0.57/0.74  % --qbf_pred_elim                       true
% 0.57/0.74  % --qbf_split                           32
% 0.57/0.74  
% 0.57/0.74  % ------ BMC1 Options
% 0.57/0.74  
% 0.57/0.74  % --bmc1_incremental                    false
% 0.57/0.74  % --bmc1_axioms                         reachable_all
% 0.57/0.74  % --bmc1_min_bound                      0
% 0.57/0.74  % --bmc1_max_bound                      -1
% 0.57/0.74  % --bmc1_max_bound_default              -1
% 0.57/0.74  % --bmc1_symbol_reachability            true
% 0.57/0.74  % --bmc1_property_lemmas                false
% 0.57/0.74  % --bmc1_k_induction                    false
% 0.57/0.74  % --bmc1_non_equiv_states               false
% 0.57/0.74  % --bmc1_deadlock                       false
% 0.57/0.74  % --bmc1_ucm                            false
% 0.57/0.74  % --bmc1_add_unsat_core                 none
% 0.57/0.74  % --bmc1_unsat_core_children            false
% 0.57/0.74  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.57/0.74  % --bmc1_out_stat                       full
% 0.57/0.74  % --bmc1_ground_init                    false
% 0.57/0.74  % --bmc1_pre_inst_next_state            false
% 0.57/0.74  % --bmc1_pre_inst_state                 false
% 0.57/0.74  % --bmc1_pre_inst_reach_state           false
% 0.57/0.74  % --bmc1_out_unsat_core                 false
% 0.57/0.74  % --bmc1_aig_witness_out                false
% 0.57/0.74  % --bmc1_verbose                        false
% 0.57/0.74  % --bmc1_dump_clauses_tptp              false
% 2.60/2.82  % --bmc1_dump_unsat_core_tptp           false
% 2.60/2.82  % --bmc1_dump_file                      -
% 2.60/2.82  % --bmc1_ucm_expand_uc_limit            128
% 2.60/2.82  % --bmc1_ucm_n_expand_iterations        6
% 2.60/2.82  % --bmc1_ucm_extend_mode                1
% 2.60/2.82  % --bmc1_ucm_init_mode                  2
% 2.60/2.82  % --bmc1_ucm_cone_mode                  none
% 2.60/2.82  % --bmc1_ucm_reduced_relation_type      0
% 2.60/2.82  % --bmc1_ucm_relax_model                4
% 2.60/2.82  % --bmc1_ucm_full_tr_after_sat          true
% 2.60/2.82  % --bmc1_ucm_expand_neg_assumptions     false
% 2.60/2.82  % --bmc1_ucm_layered_model              none
% 2.60/2.82  % --bmc1_ucm_max_lemma_size             10
% 2.60/2.82  
% 2.60/2.82  % ------ AIG Options
% 2.60/2.82  
% 2.60/2.82  % --aig_mode                            false
% 2.60/2.82  
% 2.60/2.82  % ------ Instantiation Options
% 2.60/2.82  
% 2.60/2.82  % --instantiation_flag                  true
% 2.60/2.82  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 2.60/2.82  % --inst_solver_per_active              750
% 2.60/2.82  % --inst_solver_calls_frac              0.5
% 2.60/2.82  % --inst_passive_queue_type             priority_queues
% 2.60/2.82  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.60/2.83  % --inst_passive_queues_freq            [25;2]
% 2.60/2.83  % --inst_dismatching                    true
% 2.60/2.83  % --inst_eager_unprocessed_to_passive   true
% 2.60/2.83  % --inst_prop_sim_given                 true
% 2.60/2.83  % --inst_prop_sim_new                   false
% 2.60/2.83  % --inst_orphan_elimination             true
% 2.60/2.83  % --inst_learning_loop_flag             true
% 2.60/2.83  % --inst_learning_start                 3000
% 2.60/2.83  % --inst_learning_factor                2
% 2.60/2.83  % --inst_start_prop_sim_after_learn     3
% 2.60/2.83  % --inst_sel_renew                      solver
% 2.60/2.83  % --inst_lit_activity_flag              true
% 2.60/2.83  % --inst_out_proof                      true
% 2.60/2.83  
% 2.60/2.83  % ------ Resolution Options
% 2.60/2.83  
% 2.60/2.83  % --resolution_flag                     true
% 2.60/2.83  % --res_lit_sel                         kbo_max
% 2.60/2.83  % --res_to_prop_solver                  none
% 2.60/2.83  % --res_prop_simpl_new                  false
% 2.60/2.83  % --res_prop_simpl_given                false
% 2.60/2.83  % --res_passive_queue_type              priority_queues
% 2.60/2.83  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.60/2.83  % --res_passive_queues_freq             [15;5]
% 2.60/2.83  % --res_forward_subs                    full
% 2.60/2.83  % --res_backward_subs                   full
% 2.60/2.83  % --res_forward_subs_resolution         true
% 2.60/2.83  % --res_backward_subs_resolution        true
% 2.60/2.83  % --res_orphan_elimination              false
% 2.60/2.83  % --res_time_limit                      1000.
% 2.60/2.83  % --res_out_proof                       true
% 2.60/2.83  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_71fedb.s
% 2.60/2.83  % --modulo                              true
% 2.60/2.83  
% 2.60/2.83  % ------ Combination Options
% 2.60/2.83  
% 2.60/2.83  % --comb_res_mult                       1000
% 2.60/2.83  % --comb_inst_mult                      300
% 2.60/2.83  % ------ 
% 2.60/2.83  
% 2.60/2.83  % ------ Parsing...% successful
% 2.60/2.83  
% 2.60/2.83  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe:1:0s pe_e  snvd_s sp: 0 0s snvd_e % 
% 2.60/2.83  
% 2.60/2.83  % ------ Proving...
% 2.60/2.83  % ------ Problem Properties 
% 2.60/2.83  
% 2.60/2.83  % 
% 2.60/2.83  % EPR                                   false
% 2.60/2.83  % Horn                                  false
% 2.60/2.83  % Has equality                          true
% 2.60/2.83  
% 2.60/2.83  % % ------ Input Options Time Limit: Unbounded
% 2.60/2.83  
% 2.60/2.83  
% 2.60/2.83  Compiling...
% 2.60/2.83  Loading plugin: done.
% 2.60/2.83  Compiling...
% 2.60/2.83  Loading plugin: done.
% 2.60/2.83  Compiling...
% 2.60/2.83  Loading plugin: done.
% 2.60/2.83  Compiling...
% 2.60/2.83  Loading plugin: done.
% 2.60/2.83  Compiling...
% 2.60/2.83  Loading plugin: done.
% 2.60/2.83  Compiling...
% 2.60/2.83  Loading plugin: done.
% 2.60/2.83  Compiling...
% 2.60/2.83  Loading plugin: done.
% 2.60/2.83  Compiling...
% 2.60/2.83  Loading plugin: done.
% 2.60/2.83  Compiling...
% 2.60/2.83  Loading plugin: done.
% 2.60/2.83  Compiling...
% 2.60/2.83  Loading plugin: done.
% 2.60/2.83  Compiling...
% 2.60/2.83  Loading plugin: done.
% 2.60/2.83  Compiling...
% 2.60/2.83  Loading plugin: done.
% 2.60/2.83  Compiling...
% 2.60/2.83  Loading plugin: done.
% 2.60/2.83  Compiling...
% 2.60/2.83  Loading plugin: done.
% 2.60/2.83  % % ------ Current options:
% 2.60/2.83  
% 2.60/2.83  % ------ Input Options
% 2.60/2.83  
% 2.60/2.83  % --out_options                         all
% 2.60/2.83  % --tptp_safe_out                       true
% 2.60/2.83  % --problem_path                        ""
% 2.60/2.83  % --include_path                        ""
% 2.60/2.83  % --clausifier                          .//eprover
% 2.60/2.83  % --clausifier_options                  --tstp-format  
% 2.60/2.83  % --stdin                               false
% 2.60/2.83  % --dbg_backtrace                       false
% 2.60/2.83  % --dbg_dump_prop_clauses               false
% 2.60/2.83  % --dbg_dump_prop_clauses_file          -
% 2.60/2.83  % --dbg_out_stat                        false
% 2.60/2.83  
% 2.60/2.83  % ------ General Options
% 2.60/2.83  
% 2.60/2.83  % --fof                                 false
% 2.60/2.83  % --time_out_real                       150.
% 2.60/2.83  % --time_out_prep_mult                  0.2
% 2.60/2.83  % --time_out_virtual                    -1.
% 2.60/2.83  % --schedule                            none
% 2.60/2.83  % --ground_splitting                    input
% 2.60/2.83  % --splitting_nvd                       16
% 2.60/2.83  % --non_eq_to_eq                        false
% 2.60/2.83  % --prep_gs_sim                         true
% 2.60/2.83  % --prep_unflatten                      false
% 2.60/2.83  % --prep_res_sim                        true
% 2.60/2.83  % --prep_upred                          true
% 2.60/2.83  % --res_sim_input                       true
% 2.60/2.83  % --clause_weak_htbl                    true
% 2.60/2.83  % --gc_record_bc_elim                   false
% 2.60/2.83  % --symbol_type_check                   false
% 2.60/2.83  % --clausify_out                        false
% 2.60/2.83  % --large_theory_mode                   false
% 2.60/2.83  % --prep_sem_filter                     none
% 2.60/2.83  % --prep_sem_filter_out                 false
% 2.60/2.83  % --preprocessed_out                    false
% 2.60/2.83  % --sub_typing                          false
% 2.60/2.83  % --brand_transform                     false
% 2.60/2.83  % --pure_diseq_elim                     true
% 2.60/2.83  % --min_unsat_core                      false
% 2.60/2.83  % --pred_elim                           true
% 2.60/2.83  % --add_important_lit                   false
% 2.60/2.83  % --soft_assumptions                    false
% 2.60/2.83  % --reset_solvers                       false
% 2.60/2.83  % --bc_imp_inh                          []
% 2.60/2.83  % --conj_cone_tolerance                 1.5
% 2.60/2.83  % --prolific_symb_bound                 500
% 2.60/2.83  % --lt_threshold                        2000
% 2.60/2.83  
% 2.60/2.83  % ------ SAT Options
% 2.60/2.83  
% 2.60/2.83  % --sat_mode                            false
% 2.60/2.83  % --sat_fm_restart_options              ""
% 2.60/2.83  % --sat_gr_def                          false
% 2.60/2.83  % --sat_epr_types                       true
% 2.60/2.83  % --sat_non_cyclic_types                false
% 2.60/2.83  % --sat_finite_models                   false
% 2.60/2.83  % --sat_fm_lemmas                       false
% 2.60/2.83  % --sat_fm_prep                         false
% 2.60/2.83  % --sat_fm_uc_incr                      true
% 2.60/2.83  % --sat_out_model                       small
% 2.60/2.83  % --sat_out_clauses                     false
% 2.60/2.83  
% 2.60/2.83  % ------ QBF Options
% 2.60/2.83  
% 2.60/2.83  % --qbf_mode                            false
% 2.60/2.83  % --qbf_elim_univ                       true
% 2.60/2.83  % --qbf_sk_in                           true
% 2.60/2.83  % --qbf_pred_elim                       true
% 2.60/2.83  % --qbf_split                           32
% 2.60/2.83  
% 2.60/2.83  % ------ BMC1 Options
% 2.60/2.83  
% 2.60/2.83  % --bmc1_incremental                    false
% 2.60/2.83  % --bmc1_axioms                         reachable_all
% 2.60/2.83  % --bmc1_min_bound                      0
% 2.60/2.83  % --bmc1_max_bound                      -1
% 2.60/2.83  % --bmc1_max_bound_default              -1
% 2.60/2.83  % --bmc1_symbol_reachability            true
% 2.60/2.83  % --bmc1_property_lemmas                false
% 2.60/2.83  % --bmc1_k_induction                    false
% 2.60/2.83  % --bmc1_non_equiv_states               false
% 2.60/2.83  % --bmc1_deadlock                       false
% 2.60/2.83  % --bmc1_ucm                            false
% 2.60/2.83  % --bmc1_add_unsat_core                 none
% 2.60/2.83  % --bmc1_unsat_core_children            false
% 2.60/2.83  % --bmc1_unsat_core_extrapolate_axioms  false
% 2.60/2.83  % --bmc1_out_stat                       full
% 2.60/2.83  % --bmc1_ground_init                    false
% 2.60/2.83  % --bmc1_pre_inst_next_state            false
% 2.60/2.83  % --bmc1_pre_inst_state                 false
% 2.60/2.83  % --bmc1_pre_inst_reach_state           false
% 2.60/2.83  % --bmc1_out_unsat_core                 false
% 2.60/2.83  % --bmc1_aig_witness_out                false
% 2.60/2.83  % --bmc1_verbose                        false
% 2.60/2.83  % --bmc1_dump_clauses_tptp              false
% 2.60/2.83  % --bmc1_dump_unsat_core_tptp           false
% 2.60/2.83  % --bmc1_dump_file                      -
% 2.60/2.83  % --bmc1_ucm_expand_uc_limit            128
% 2.60/2.83  % --bmc1_ucm_n_expand_iterations        6
% 2.60/2.83  % --bmc1_ucm_extend_mode                1
% 2.60/2.83  % --bmc1_ucm_init_mode                  2
% 2.60/2.83  % --bmc1_ucm_cone_mode                  none
% 2.60/2.83  % --bmc1_ucm_reduced_relation_type      0
% 2.60/2.83  % --bmc1_ucm_relax_model                4
% 2.60/2.83  % --bmc1_ucm_full_tr_after_sat          true
% 2.60/2.83  % --bmc1_ucm_expand_neg_assumptions     false
% 2.60/2.83  % --bmc1_ucm_layered_model              none
% 2.60/2.83  % --bmc1_ucm_max_lemma_size             10
% 2.60/2.83  
% 2.60/2.83  % ------ AIG Options
% 2.60/2.83  
% 2.60/2.83  % --aig_mode                            false
% 2.60/2.83  
% 2.60/2.83  % ------ Instantiation Options
% 2.60/2.83  
% 2.60/2.83  % --instantiation_flag                  true
% 2.60/2.83  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 2.60/2.83  % --inst_solver_per_active              750
% 2.60/2.83  % --inst_solver_calls_frac              0.5
% 2.60/2.83  % --inst_passive_queue_type             priority_queues
% 2.60/2.83  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.60/2.83  % --inst_passive_queues_freq            [25;2]
% 2.60/2.83  % --inst_dismatching                    true
% 2.60/2.83  % --inst_eager_unprocessed_to_passive   true
% 2.60/2.83  % --inst_prop_sim_given                 true
% 2.60/2.83  % --inst_prop_sim_new                   false
% 2.60/2.83  % --inst_orphan_elimination             true
% 2.60/2.83  % --inst_learning_loop_flag             true
% 2.60/2.83  % --inst_learning_start                 3000
% 2.60/2.83  % --inst_learning_factor                2
% 2.60/2.83  % --inst_start_prop_sim_after_learn     3
% 2.60/2.83  % --inst_sel_renew                      solver
% 2.60/2.83  % --inst_lit_activity_flag              true
% 2.60/2.83  % --inst_out_proof                      true
% 2.60/2.83  
% 2.60/2.83  % ------ Resolution Options
% 2.60/2.83  
% 2.60/2.83  % --resolution_flag                     true
% 2.60/2.83  % --res_lit_sel                         kbo_max
% 2.60/2.83  % --res_to_prop_solver                  none
% 2.60/2.83  % --res_prop_simpl_new                  false
% 2.60/2.83  % --res_prop_simpl_given                false
% 2.60/2.83  % --res_passive_queue_type              priority_queues
% 2.60/2.83  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.60/2.83  % --res_passive_queues_freq             [15;5]
% 2.60/2.83  % --res_forward_subs                    full
% 2.60/2.83  % --res_backward_subs                   full
% 2.60/2.83  % --res_forward_subs_resolution         true
% 2.60/2.83  % --res_backward_subs_resolution        true
% 2.60/2.83  % --res_orphan_elimination              false
% 2.60/2.83  % --res_time_limit                      1000.
% 2.60/2.83  % --res_out_proof                       true
% 2.60/2.83  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_71fedb.s
% 2.60/2.83  % --modulo                              true
% 2.60/2.83  
% 2.60/2.83  % ------ Combination Options
% 2.60/2.83  
% 2.60/2.83  % --comb_res_mult                       1000
% 2.60/2.83  % --comb_inst_mult                      300
% 2.60/2.83  % ------ 
% 2.60/2.83  
% 2.60/2.83  
% 2.60/2.83  
% 2.60/2.83  % ------ Proving...
% 2.60/2.83  % warning:  shown sat in sat incomplete mode 
% 2.60/2.83  % 
% 2.60/2.83  
% 2.60/2.83  
% 2.60/2.83  
% 2.60/2.83  
% 2.60/2.83  cnf(c_2039,plain,
% 2.60/2.83      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,X3) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X1,X5,X6)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X1)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X4,X0,X7,X6)
% 2.60/2.83      | X3 != c_Set_Oimage(X4,X0,X7,X6)
% 2.60/2.83      | hAPP(X5,sk1_esk33_8(X2,X5,X3,X6,X7,X0,X4,X1)) != hAPP(X2,hAPP(X7,sk1_esk33_8(X2,X5,X3,X6,X7,X0,X4,X1))) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2368_4) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8624,plain,
% 2.60/2.83      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,X3) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X1,X5,X6)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X1)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X4,X0,X7,X6)
% 2.60/2.83      | X3 != c_Set_Oimage(X4,X0,X7,X6)
% 2.60/2.83      | hAPP(X5,sk1_esk33_8(X2,X5,X3,X6,X7,X0,X4,X1)) != hAPP(X2,hAPP(X7,sk1_esk33_8(X2,X5,X3,X6,X7,X0,X4,X1))) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_2039]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8625,plain,
% 2.60/2.83      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
% 2.60/2.83      | hAPP(X5,sk1_esk33_8(X6,X5,X7,X4,X3,X2,X1,X0)) != hAPP(X6,hAPP(X3,sk1_esk33_8(X6,X5,X7,X4,X3,X2,X1,X0)))
% 2.60/2.83      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X0,X6,X7) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X5,X4)
% 2.60/2.83      | X7 != c_Set_Oimage(X1,X2,X3,X4) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8624]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_2035,plain,
% 2.60/2.83      ( hAPP(X0,sk1_esk34_8(X1,X0,X2,X3,X4,X5,X6,X7)) != hAPP(X1,sk1_esk34_8(X1,X0,X2,X3,X4,X5,X6,X7))
% 2.60/2.83      | X3 != X2
% 2.60/2.83      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X6,X7,X0,c_SetInterval_Oord__class_OatLeastLessThan(X6,X5,X3)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X6,X7,X1,c_SetInterval_Oord__class_OatLeastLessThan(X6,X4,X2))
% 2.60/2.83      | ~ class_Orderings_Oord(X6)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X7)
% 2.60/2.83      | X5 != X4 ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2369_3) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8616,plain,
% 2.60/2.83      ( hAPP(X0,sk1_esk34_8(X1,X0,X2,X3,X4,X5,X6,X7)) != hAPP(X1,sk1_esk34_8(X1,X0,X2,X3,X4,X5,X6,X7))
% 2.60/2.83      | X3 != X2
% 2.60/2.83      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X6,X7,X0,c_SetInterval_Oord__class_OatLeastLessThan(X6,X5,X3)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X6,X7,X1,c_SetInterval_Oord__class_OatLeastLessThan(X6,X4,X2))
% 2.60/2.83      | ~ class_Orderings_Oord(X6)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X7)
% 2.60/2.83      | X5 != X4 ),
% 2.60/2.83      inference(copy,[status(esa)],[c_2035]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8617,plain,
% 2.60/2.83      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.83      | ~ class_Orderings_Oord(X1)
% 2.60/2.83      | hAPP(X2,sk1_esk34_8(X3,X2,X4,X5,X6,X7,X1,X0)) != hAPP(X3,sk1_esk34_8(X3,X2,X4,X5,X6,X7,X1,X0))
% 2.60/2.83      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X2,c_SetInterval_Oord__class_OatLeastLessThan(X1,X7,X5)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(X1,X6,X4))
% 2.60/2.83      | X5 != X4
% 2.60/2.83      | X7 != X6 ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8616]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_2033,plain,
% 2.60/2.83      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X5,c_SetInterval_Oord__class_OatLeastLessThan(X0,X6,X7))
% 2.60/2.83      | ~ class_Orderings_Oord(X0)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X1)
% 2.60/2.83      | X3 != X6
% 2.60/2.83      | X4 != X7
% 2.60/2.83      | hAPP(X2,sk1_esk34_8(X5,X2,X7,X4,X6,X3,X0,X1)) != hAPP(X5,sk1_esk34_8(X5,X2,X7,X4,X6,X3,X0,X1)) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2369_5) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8612,plain,
% 2.60/2.83      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X5,c_SetInterval_Oord__class_OatLeastLessThan(X0,X6,X7))
% 2.60/2.83      | ~ class_Orderings_Oord(X0)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X1)
% 2.60/2.83      | X3 != X6
% 2.60/2.83      | X4 != X7
% 2.60/2.83      | hAPP(X2,sk1_esk34_8(X5,X2,X7,X4,X6,X3,X0,X1)) != hAPP(X5,sk1_esk34_8(X5,X2,X7,X4,X6,X3,X0,X1)) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_2033]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8613,plain,
% 2.60/2.83      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.83      | ~ class_Orderings_Oord(X1)
% 2.60/2.83      | hAPP(X2,sk1_esk34_8(X3,X2,X4,X5,X6,X7,X1,X0)) != hAPP(X3,sk1_esk34_8(X3,X2,X4,X5,X6,X7,X1,X0))
% 2.60/2.83      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X2,c_SetInterval_Oord__class_OatLeastLessThan(X1,X7,X5)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(X1,X6,X4))
% 2.60/2.83      | X7 != X6
% 2.60/2.83      | X5 != X4 ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8612]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_2028,plain,
% 2.60/2.83      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,X3) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X1,X5,X6)
% 2.60/2.83      | c_member(X4,sk1_esk33_8(X2,X5,X3,X6,X7,X0,X4,X1),X6)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X1)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X4,X0,X7,X6)
% 2.60/2.83      | X3 != c_Set_Oimage(X4,X0,X7,X6) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2370_4) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8602,plain,
% 2.60/2.83      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,X3) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X1,X5,X6)
% 2.60/2.83      | c_member(X4,sk1_esk33_8(X2,X5,X3,X6,X7,X0,X4,X1),X6)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X1)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X4,X0,X7,X6)
% 2.60/2.83      | X3 != c_Set_Oimage(X4,X0,X7,X6) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_2028]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8603,plain,
% 2.60/2.83      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.83      | c_member(X1,sk1_esk33_8(X2,X3,X4,X5,X6,X7,X1,X0),X5)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X7,X6,X5)
% 2.60/2.83      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X7,X0,X2,X4) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X3,X5)
% 2.60/2.83      | X4 != c_Set_Oimage(X1,X7,X6,X5) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8602]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_2023,plain,
% 2.60/2.83      ( X0 != X1
% 2.60/2.83      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X3,X4,c_SetInterval_Oord__class_OatLeastLessThan(X2,X5,X0)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X3,X6,c_SetInterval_Oord__class_OatLeastLessThan(X2,X7,X1))
% 2.60/2.83      | c_Orderings_Oord__class_Oless__eq(X2,X7,sk1_esk34_8(X6,X4,X1,X0,X7,X5,X2,X3))
% 2.60/2.83      | ~ class_Orderings_Oord(X2)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X3)
% 2.60/2.83      | X5 != X7 ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2371_4) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8592,plain,
% 2.60/2.83      ( X0 != X1
% 2.60/2.83      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X3,X4,c_SetInterval_Oord__class_OatLeastLessThan(X2,X5,X0)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X3,X6,c_SetInterval_Oord__class_OatLeastLessThan(X2,X7,X1))
% 2.60/2.83      | c_Orderings_Oord__class_Oless__eq(X2,X7,sk1_esk34_8(X6,X4,X1,X0,X7,X5,X2,X3))
% 2.60/2.83      | ~ class_Orderings_Oord(X2)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X3)
% 2.60/2.83      | X5 != X7 ),
% 2.60/2.83      inference(copy,[status(esa)],[c_2023]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8593,plain,
% 2.60/2.83      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.83      | ~ class_Orderings_Oord(X1)
% 2.60/2.83      | c_Orderings_Oord__class_Oless__eq(X1,X2,sk1_esk34_8(X3,X4,X5,X6,X2,X7,X1,X0))
% 2.60/2.83      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X4,c_SetInterval_Oord__class_OatLeastLessThan(X1,X7,X6)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X5))
% 2.60/2.83      | X6 != X5
% 2.60/2.83      | X7 != X2 ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8592]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_2022,plain,
% 2.60/2.83      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X5,c_SetInterval_Oord__class_OatLeastLessThan(X0,X6,X7))
% 2.60/2.83      | c_Orderings_Oord__class_Oless__eq(X0,X6,sk1_esk34_8(X5,X2,X7,X4,X6,X3,X0,X1))
% 2.60/2.83      | ~ class_Orderings_Oord(X0)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X1)
% 2.60/2.83      | X3 != X6
% 2.60/2.83      | X4 != X7 ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2371_5) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8590,plain,
% 2.60/2.83      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X5,c_SetInterval_Oord__class_OatLeastLessThan(X0,X6,X7))
% 2.60/2.83      | c_Orderings_Oord__class_Oless__eq(X0,X6,sk1_esk34_8(X5,X2,X7,X4,X6,X3,X0,X1))
% 2.60/2.83      | ~ class_Orderings_Oord(X0)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X1)
% 2.60/2.83      | X3 != X6
% 2.60/2.83      | X4 != X7 ),
% 2.60/2.83      inference(copy,[status(esa)],[c_2022]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8591,plain,
% 2.60/2.83      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.83      | ~ class_Orderings_Oord(X1)
% 2.60/2.83      | c_Orderings_Oord__class_Oless__eq(X1,X2,sk1_esk34_8(X3,X4,X5,X6,X2,X7,X1,X0))
% 2.60/2.83      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X4,c_SetInterval_Oord__class_OatLeastLessThan(X1,X7,X6)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X5))
% 2.60/2.83      | X7 != X2
% 2.60/2.83      | X6 != X5 ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8590]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_2017,plain,
% 2.60/2.83      ( X0 != X1
% 2.60/2.83      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X3,X4,c_SetInterval_Oord__class_OatLeastLessThan(X2,X5,X0)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X3,X6,c_SetInterval_Oord__class_OatLeastLessThan(X2,X7,X1))
% 2.60/2.83      | c_Orderings_Oord__class_Oless(X2,sk1_esk34_8(X6,X4,X1,X0,X7,X5,X2,X3),X1)
% 2.60/2.83      | ~ class_Orderings_Oord(X2)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X3)
% 2.60/2.83      | X5 != X7 ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2372_4) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8580,plain,
% 2.60/2.83      ( X0 != X1
% 2.60/2.83      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X3,X4,c_SetInterval_Oord__class_OatLeastLessThan(X2,X5,X0)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X3,X6,c_SetInterval_Oord__class_OatLeastLessThan(X2,X7,X1))
% 2.60/2.83      | c_Orderings_Oord__class_Oless(X2,sk1_esk34_8(X6,X4,X1,X0,X7,X5,X2,X3),X1)
% 2.60/2.83      | ~ class_Orderings_Oord(X2)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X3)
% 2.60/2.83      | X5 != X7 ),
% 2.60/2.83      inference(copy,[status(esa)],[c_2017]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8581,plain,
% 2.60/2.83      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.83      | ~ class_Orderings_Oord(X1)
% 2.60/2.83      | c_Orderings_Oord__class_Oless(X1,sk1_esk34_8(X2,X3,X4,X5,X6,X7,X1,X0),X4)
% 2.60/2.83      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(X1,X7,X5)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X2,c_SetInterval_Oord__class_OatLeastLessThan(X1,X6,X4))
% 2.60/2.83      | X5 != X4
% 2.60/2.83      | X7 != X6 ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8580]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_2016,plain,
% 2.60/2.83      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X5,c_SetInterval_Oord__class_OatLeastLessThan(X0,X6,X7))
% 2.60/2.83      | c_Orderings_Oord__class_Oless(X0,sk1_esk34_8(X5,X2,X7,X4,X6,X3,X0,X1),X7)
% 2.60/2.83      | ~ class_Orderings_Oord(X0)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X1)
% 2.60/2.83      | X3 != X6
% 2.60/2.83      | X4 != X7 ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2372_5) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8578,plain,
% 2.60/2.83      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X5,c_SetInterval_Oord__class_OatLeastLessThan(X0,X6,X7))
% 2.60/2.83      | c_Orderings_Oord__class_Oless(X0,sk1_esk34_8(X5,X2,X7,X4,X6,X3,X0,X1),X7)
% 2.60/2.83      | ~ class_Orderings_Oord(X0)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X1)
% 2.60/2.83      | X3 != X6
% 2.60/2.83      | X4 != X7 ),
% 2.60/2.83      inference(copy,[status(esa)],[c_2016]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8579,plain,
% 2.60/2.83      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.83      | ~ class_Orderings_Oord(X1)
% 2.60/2.83      | c_Orderings_Oord__class_Oless(X1,sk1_esk34_8(X2,X3,X4,X5,X6,X7,X1,X0),X4)
% 2.60/2.83      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(X1,X7,X5)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X2,c_SetInterval_Oord__class_OatLeastLessThan(X1,X6,X4))
% 2.60/2.83      | X7 != X6
% 2.60/2.83      | X5 != X4 ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8578]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_2011,plain,
% 2.60/2.83      ( hAPP(X0,c_Set_Oimage(X1,X1,X2,X3)) = hAPP(X2,hAPP(X0,X3))
% 2.60/2.83      | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.83      | hAPP(hAPP(X4,hAPP(X2,sk1_esk24_5(X3,X2,X0,X4,X1))),hAPP(X2,sk1_esk25_5(X3,X2,X0,X4,X1))) != hAPP(X2,hAPP(hAPP(X4,sk1_esk24_5(X3,X2,X0,X4,X1)),sk1_esk25_5(X3,X2,X0,X4,X1)))
% 2.60/2.83      | ~ c_Finite__Set_Ofolding__one__idem(X1,X4,X0) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2373_4) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8568,plain,
% 2.60/2.83      ( hAPP(X0,c_Set_Oimage(X1,X1,X2,X3)) = hAPP(X2,hAPP(X0,X3))
% 2.60/2.83      | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.83      | hAPP(hAPP(X4,hAPP(X2,sk1_esk24_5(X3,X2,X0,X4,X1))),hAPP(X2,sk1_esk25_5(X3,X2,X0,X4,X1))) != hAPP(X2,hAPP(hAPP(X4,sk1_esk24_5(X3,X2,X0,X4,X1)),sk1_esk25_5(X3,X2,X0,X4,X1)))
% 2.60/2.83      | ~ c_Finite__Set_Ofolding__one__idem(X1,X4,X0) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_2011]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8569,plain,
% 2.60/2.83      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.83      | ~ c_Finite__Set_Ofolding__one__idem(X0,X2,X3)
% 2.60/2.83      | hAPP(hAPP(X2,hAPP(X4,sk1_esk24_5(X1,X4,X3,X2,X0))),hAPP(X4,sk1_esk25_5(X1,X4,X3,X2,X0))) != hAPP(X4,hAPP(hAPP(X2,sk1_esk24_5(X1,X4,X3,X2,X0)),sk1_esk25_5(X1,X4,X3,X2,X0)))
% 2.60/2.83      | hAPP(X3,c_Set_Oimage(X0,X0,X4,X1)) = hAPP(X4,hAPP(X3,X1))
% 2.60/2.83      | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8568]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_2005,plain,
% 2.60/2.83      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.83      | c_Orderings_Oord__class_Oless(X2,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2,X3,X0),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2,X4,X0))
% 2.60/2.83      | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X2)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X2)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X0)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless(X2,hAPP(X3,sk1_esk31_5(X4,X3,X0,X1,X2)),hAPP(X4,sk1_esk31_5(X4,X3,X0,X1,X2))) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2374_5) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8556,plain,
% 2.60/2.83      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.83      | c_Orderings_Oord__class_Oless(X2,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2,X3,X0),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2,X4,X0))
% 2.60/2.83      | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X2)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X2)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X0)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless(X2,hAPP(X3,sk1_esk31_5(X4,X3,X0,X1,X2)),hAPP(X4,sk1_esk31_5(X4,X3,X0,X1,X2))) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_2005]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8557,plain,
% 2.60/2.83      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X2)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless(X0,hAPP(X3,sk1_esk31_5(X4,X3,X2,X1,X0)),hAPP(X4,sk1_esk31_5(X4,X3,X2,X1,X0)))
% 2.60/2.83      | c_Orderings_Oord__class_Oless(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X3,X2),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X4,X2))
% 2.60/2.83      | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8556]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_2001,plain,
% 2.60/2.83      ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X3)) = hAPP(X1,X3)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X2,X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X4,X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofolding__image__simple__idem(X5,X4,X0,X6,X7,X1) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2375_3) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8548,plain,
% 2.60/2.83      ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X3)) = hAPP(X1,X3)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X2,X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X4,X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofolding__image__simple__idem(X5,X4,X0,X6,X7,X1) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_2001]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8549,plain,
% 2.60/2.83      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.83      | ~ c_Finite__Set_Ofolding__image__simple__idem(X3,X0,X4,X5,X6,X7)
% 2.60/2.83      | hAPP(hAPP(X4,hAPP(X7,X1)),hAPP(X7,X2)) = hAPP(X7,X2) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8548]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1998,plain,
% 2.60/2.83      ( hAPP(X0,c_Set_Oinsert(X1,X2,X3)) = hAPP(hAPP(X4,hAPP(X5,X2)),hAPP(X0,X3))
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofolding__image__simple__idem(X6,X1,X4,X7,X5,X0) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2376_2) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8542,plain,
% 2.60/2.83      ( hAPP(X0,c_Set_Oinsert(X1,X2,X3)) = hAPP(hAPP(X4,hAPP(X5,X2)),hAPP(X0,X3))
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofolding__image__simple__idem(X6,X1,X4,X7,X5,X0) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1998]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8543,plain,
% 2.60/2.83      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.83      | ~ c_Finite__Set_Ofolding__image__simple__idem(X2,X0,X3,X4,X5,X6)
% 2.60/2.83      | hAPP(X6,c_Set_Oinsert(X0,X7,X1)) = hAPP(hAPP(X3,hAPP(X5,X7)),hAPP(X6,X1)) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8542]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1994,plain,
% 2.60/2.83      ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X3,X4)) = hAPP(X3,X4)
% 2.60/2.83      | ~ c_member(X5,X2,X4)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X5,X4)
% 2.60/2.83      | ~ c_Finite__Set_Ofolding__image__simple__idem(X6,X5,X0,X7,X1,X3) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2377_3) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8534,plain,
% 2.60/2.83      ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X3,X4)) = hAPP(X3,X4)
% 2.60/2.83      | ~ c_member(X5,X2,X4)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X5,X4)
% 2.60/2.83      | ~ c_Finite__Set_Ofolding__image__simple__idem(X6,X5,X0,X7,X1,X3) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1994]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8535,plain,
% 2.60/2.83      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.83      | ~ c_member(X0,X2,X1)
% 2.60/2.83      | ~ c_Finite__Set_Ofolding__image__simple__idem(X3,X0,X4,X5,X6,X7)
% 2.60/2.83      | hAPP(hAPP(X4,hAPP(X6,X2)),hAPP(X7,X1)) = hAPP(X7,X1) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8534]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1980,plain,
% 2.60/2.83      ( c_member(X0,X1,c_Set_Oimage(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))
% 2.60/2.83      | hAPP(X3,sk1_esk5_5(X1,X3,X0,X2,X4)) = X1
% 2.60/2.83      | ~ c_Fun_Oinj__on(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))
% 2.60/2.83      | X1 != hAPP(X3,X4) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2383_3) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8506,plain,
% 2.60/2.83      ( c_member(X0,X1,c_Set_Oimage(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))
% 2.60/2.83      | hAPP(X3,sk1_esk5_5(X1,X3,X0,X2,X4)) = X1
% 2.60/2.83      | ~ c_Fun_Oinj__on(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))
% 2.60/2.83      | X1 != hAPP(X3,X4) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1980]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8507,plain,
% 2.60/2.83      ( c_member(X0,X1,c_Set_Oimage(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))
% 2.60/2.83      | ~ c_Fun_Oinj__on(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))
% 2.60/2.83      | hAPP(X3,sk1_esk5_5(X1,X3,X0,X2,X4)) = X1
% 2.60/2.83      | X1 != hAPP(X3,X4) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8506]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1974,plain,
% 2.60/2.83      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.83      | c_Orderings_Oord__class_Oless(X2,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2,X3,X0),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2,X4,X0))
% 2.60/2.83      | c_member(X1,sk1_esk31_5(X4,X3,X0,X1,X2),X0)
% 2.60/2.83      | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X2)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X2)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X0) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2384_5) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8494,plain,
% 2.60/2.83      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.83      | c_Orderings_Oord__class_Oless(X2,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2,X3,X0),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2,X4,X0))
% 2.60/2.83      | c_member(X1,sk1_esk31_5(X4,X3,X0,X1,X2),X0)
% 2.60/2.83      | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X2)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X2)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X0) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1974]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8495,plain,
% 2.60/2.83      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X2)
% 2.60/2.83      | c_Orderings_Oord__class_Oless(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X3,X2),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X4,X2))
% 2.60/2.83      | c_member(X1,sk1_esk31_5(X4,X3,X2,X1,X0),X2)
% 2.60/2.83      | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8494]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1967,plain,
% 2.60/2.83      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 2.60/2.83      | ~ class_Orderings_Oord(X1)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,sk1_esk6_4(X3,X2,X0,X1)),hAPP(X3,sk1_esk6_4(X3,X2,X0,X1))) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2387_2) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8480,plain,
% 2.60/2.83      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 2.60/2.83      | ~ class_Orderings_Oord(X1)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,sk1_esk6_4(X3,X2,X0,X1)),hAPP(X3,sk1_esk6_4(X3,X2,X0,X1))) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1967]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8481,plain,
% 2.60/2.83      ( ~ class_Orderings_Oord(X0)
% 2.60/2.83      | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(X0,hAPP(X2,sk1_esk6_4(X3,X2,X1,X0)),hAPP(X3,sk1_esk6_4(X3,X2,X1,X0))) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8480]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1960,plain,
% 2.60/2.83      ( c_member(X0,X1,c_Set_Oimage(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))
% 2.60/2.83      | ~ c_Fun_Oinj__on(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))
% 2.60/2.83      | X1 != hAPP(X3,X4)
% 2.60/2.83      | sk1_esk5_5(X1,X3,X0,X2,X4) != X4 ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2389_3) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8466,plain,
% 2.60/2.83      ( c_member(X0,X1,c_Set_Oimage(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))
% 2.60/2.83      | ~ c_Fun_Oinj__on(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))
% 2.60/2.83      | X1 != hAPP(X3,X4)
% 2.60/2.83      | sk1_esk5_5(X1,X3,X0,X2,X4) != X4 ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1960]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8467,plain,
% 2.60/2.83      ( c_member(X0,X1,c_Set_Oimage(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))
% 2.60/2.83      | ~ c_Fun_Oinj__on(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))
% 2.60/2.83      | sk1_esk5_5(X1,X3,X0,X2,X4) != X4
% 2.60/2.83      | X1 != hAPP(X3,X4) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8466]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1957,plain,
% 2.60/2.83      ( c_member(X0,X1,c_SetInterval_Oord_OatLeastLessThan(X0,X2,X3,X4,X5))
% 2.60/2.83      | ~ hBOOL(hAPP(hAPP(X3,X1),X5))
% 2.60/2.83      | ~ hBOOL(hAPP(hAPP(X2,X4),X1)) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2390_2) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8460,plain,
% 2.60/2.83      ( c_member(X0,X1,c_SetInterval_Oord_OatLeastLessThan(X0,X2,X3,X4,X5))
% 2.60/2.83      | ~ hBOOL(hAPP(hAPP(X3,X1),X5))
% 2.60/2.83      | ~ hBOOL(hAPP(hAPP(X2,X4),X1)) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1957]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8461,plain,
% 2.60/2.83      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.83      | ~ hBOOL(hAPP(hAPP(X3,X4),X1))
% 2.60/2.83      | c_member(X5,X1,c_SetInterval_Oord_OatLeastLessThan(X5,X3,X0,X4,X2)) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8460]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1954,plain,
% 2.60/2.83      ( c_member(X0,X1,c_SetInterval_Oord_OgreaterThanAtMost(X0,X2,X3,X4,X5))
% 2.60/2.83      | ~ hBOOL(hAPP(hAPP(X2,X1),X5))
% 2.60/2.83      | ~ hBOOL(hAPP(hAPP(X3,X4),X1)) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2391_2) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8454,plain,
% 2.60/2.83      ( c_member(X0,X1,c_SetInterval_Oord_OgreaterThanAtMost(X0,X2,X3,X4,X5))
% 2.60/2.83      | ~ hBOOL(hAPP(hAPP(X2,X1),X5))
% 2.60/2.83      | ~ hBOOL(hAPP(hAPP(X3,X4),X1)) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1954]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8455,plain,
% 2.60/2.83      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.83      | ~ hBOOL(hAPP(hAPP(X3,X4),X1))
% 2.60/2.83      | c_member(X5,X1,c_SetInterval_Oord_OgreaterThanAtMost(X5,X0,X3,X4,X2)) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8454]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1952,plain,
% 2.60/2.83      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X0,X1,X2,X3),X4)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X0,X5,X4)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X5,X4),X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X0,X3)
% 2.60/2.83      | c_Finite__Set_Ocard(X0,X3) = c_Finite__Set_Ocard(X1,X4)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X4) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2392_1) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8450,plain,
% 2.60/2.83      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X0,X1,X2,X3),X4)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X0,X5,X4)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X5,X4),X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X0,X3)
% 2.60/2.83      | c_Finite__Set_Ocard(X0,X3) = c_Finite__Set_Ocard(X1,X4)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X4) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1952]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8451,plain,
% 2.60/2.83      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X2,X3),X4)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X0,X1,X5,X4),X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X0,X4)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X0,X2,X3)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X0,X1,X5,X4)
% 2.60/2.83      | c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X0,X4) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8450]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1949,plain,
% 2.60/2.83      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X0,X1,X2,X3),X4)
% 2.60/2.83      | c_Finite__Set_Ocard(X0,X3) = c_Finite__Set_Ocard(X1,X4)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X4)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X0,X3)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X5,X4),X3)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X0,X5,X4) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2392_4) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8444,plain,
% 2.60/2.83      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X0,X1,X2,X3),X4)
% 2.60/2.83      | c_Finite__Set_Ocard(X0,X3) = c_Finite__Set_Ocard(X1,X4)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X4)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X0,X3)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X5,X4),X3)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X0,X5,X4) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1949]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8445,plain,
% 2.60/2.83      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X2,X3),X4)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X0,X1,X5,X4),X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X0,X4)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X0,X2,X3)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X0,X1,X5,X4)
% 2.60/2.83      | c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X0,X4) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8444]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1948,plain,
% 2.60/2.83      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.83      | c_Finite__Set_Ocard(X0,X3) = c_Finite__Set_Ocard(X1,X4)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X4)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X0,X3)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X5,X4),X3)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X0,X5,X4)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X0,X1,X2,X3),X4) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2392_5) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8442,plain,
% 2.60/2.83      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.83      | c_Finite__Set_Ocard(X0,X3) = c_Finite__Set_Ocard(X1,X4)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X4)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X0,X3)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X5,X4),X3)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X0,X5,X4)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X0,X1,X2,X3),X4) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1948]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8443,plain,
% 2.60/2.83      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X2,X3),X4)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X0,X1,X5,X4),X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X0,X4)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X0,X1,X5,X4)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X0,X2,X3)
% 2.60/2.83      | c_Finite__Set_Ocard(X0,X4) = c_Finite__Set_Ocard(X1,X3) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8442]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1947,plain,
% 2.60/2.83      ( c_Finite__Set_Ocard(X0,X1) = c_Finite__Set_Ocard(X2,X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X2,X0,X4,X3),X1)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X2,X0,X4,X3)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X0,X2,X5,X1),X3)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X0,X2,X5,X1) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2392_6) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8440,plain,
% 2.60/2.83      ( c_Finite__Set_Ocard(X0,X1) = c_Finite__Set_Ocard(X2,X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X2,X0,X4,X3),X1)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X2,X0,X4,X3)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X0,X2,X5,X1),X3)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X0,X2,X5,X1) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1947]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8441,plain,
% 2.60/2.83      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X2,X3),X4)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X0,X1,X5,X4),X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.83      | ~ c_Finite__Set_Ofinite(X0,X4)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X0,X2,X3)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X0,X1,X5,X4)
% 2.60/2.83      | c_Finite__Set_Ocard(X0,X4) = c_Finite__Set_Ocard(X1,X3) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8440]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1943,plain,
% 2.60/2.83      ( c_member(X0,hAPP(c_Fun_Othe__inv__into(X0,X1,X2,X3),X4),X5)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X5)
% 2.60/2.83      | ~ c_member(X1,X4,c_Set_Oimage(X0,X1,X3,X2))
% 2.60/2.83      | ~ c_Fun_Oinj__on(X0,X1,X3,X2) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2393_3) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8432,plain,
% 2.60/2.83      ( c_member(X0,hAPP(c_Fun_Othe__inv__into(X0,X1,X2,X3),X4),X5)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X5)
% 2.60/2.83      | ~ c_member(X1,X4,c_Set_Oimage(X0,X1,X3,X2))
% 2.60/2.83      | ~ c_Fun_Oinj__on(X0,X1,X3,X2) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1943]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8433,plain,
% 2.60/2.83      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.83      | c_member(X0,hAPP(c_Fun_Othe__inv__into(X0,X3,X1,X4),X5),X2)
% 2.60/2.83      | ~ c_member(X3,X5,c_Set_Oimage(X0,X3,X4,X1))
% 2.60/2.83      | ~ c_Fun_Oinj__on(X0,X3,X4,X1) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8432]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1940,plain,
% 2.60/2.83      ( hAPP(X0,hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X0),X4)) = X4
% 2.60/2.83      | ~ c_member(X2,X4,c_Set_Oimage(X1,X2,X0,X3))
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X2,X0,X3) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2394_2) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8426,plain,
% 2.60/2.83      ( hAPP(X0,hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X0),X4)) = X4
% 2.60/2.83      | ~ c_member(X2,X4,c_Set_Oimage(X1,X2,X0,X3))
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X2,X0,X3) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1940]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8427,plain,
% 2.60/2.83      ( ~ c_member(X0,X1,c_Set_Oimage(X2,X0,X3,X4))
% 2.60/2.83      | ~ c_Fun_Oinj__on(X2,X0,X3,X4)
% 2.60/2.83      | hAPP(X3,hAPP(c_Fun_Othe__inv__into(X2,X0,X4,X3),X1)) = X1 ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8426]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1931,plain,
% 2.60/2.83      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.83      | c_Set_Oimage(X2,X1,sk1_esk8_4(X3,X2,X1,X0),X3) = X0
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X1,X2,X4,X0),X3)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X2,X4,X0) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2397_3) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8408,plain,
% 2.60/2.83      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.83      | c_Set_Oimage(X2,X1,sk1_esk8_4(X3,X2,X1,X0),X3) = X0
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X1,X2,X4,X0),X3)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X2,X4,X0) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1931]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8409,plain,
% 2.60/2.83      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X2,X3),X4)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X1,X0,X2,X3)
% 2.60/2.83      | c_Set_Oimage(X0,X1,sk1_esk8_4(X4,X0,X1,X3),X4) = X3
% 2.60/2.83      | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8408]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1925,plain,
% 2.60/2.83      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.83      | c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X1,X2,sk1_esk9_4(X3,X2,X1,X0),X0),X3)
% 2.60/2.83      | c_Set_Oimage(X2,X1,X4,X3) != X0 ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2399_2) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8396,plain,
% 2.60/2.83      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.83      | c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X1,X2,sk1_esk9_4(X3,X2,X1,X0),X0),X3)
% 2.60/2.83      | c_Set_Oimage(X2,X1,X4,X3) != X0 ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1925]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8397,plain,
% 2.60/2.83      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,sk1_esk9_4(X2,X0,X1,X3),X3),X2)
% 2.60/2.83      | c_Set_Oimage(X0,X1,X4,X2) != X3
% 2.60/2.83      | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8396]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1921,plain,
% 2.60/2.83      ( c_Groups_Oplus__class_Oplus(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,X3)),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3,X4))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,X4))
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.60/2.83      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2400_3) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8388,plain,
% 2.60/2.83      ( c_Groups_Oplus__class_Oplus(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,X3)),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3,X4))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,X4))
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 2.60/2.83      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.60/2.83      inference(copy,[status(esa)],[c_1921]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_8389,plain,
% 2.60/2.83      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 2.60/2.83      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1)
% 2.60/2.83      | c_Groups_Oplus__class_Oplus(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X4,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3,X1)),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X4,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1,X2))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X4,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3,X2)) ),
% 2.60/2.83      inference(rewriting,[status(thm)],[c_8388]) ).
% 2.60/2.83  
% 2.60/2.83  cnf(c_1917,plain,
% 2.60/2.83      ( X0 = sk1_esk4_4(X1,X2,X3,X4)
% 2.60/2.83      | ~ c_Fun_Oinj__on(X4,X3,X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool)))
% 2.60/2.83      | ~ c_member(X3,X1,c_Set_Oimage(X4,X3,X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))
% 2.60/2.83      | X1 != hAPP(X2,X0) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2401_3) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8380,plain,
% 2.60/2.84      ( X0 = sk1_esk4_4(X1,X2,X3,X4)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X4,X3,X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool)))
% 2.60/2.84      | ~ c_member(X3,X1,c_Set_Oimage(X4,X3,X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))
% 2.60/2.84      | X1 != hAPP(X2,X0) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1917]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8381,plain,
% 2.60/2.84      ( ~ c_member(X0,X1,c_Set_Oimage(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))
% 2.60/2.84      | ~ c_Fun_Oinj__on(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))
% 2.60/2.84      | X1 != hAPP(X3,X4)
% 2.60/2.84      | X4 = sk1_esk4_4(X1,X3,X0,X2) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8380]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1915,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.84      | c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X0,X2,sk1_esk7_4(X3,X2,X1,X0),X1),X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2402_1) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8376,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.84      | c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X0,X2,sk1_esk7_4(X3,X2,X1,X0),X1),X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1915]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8377,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.60/2.84      | c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X0,X2,sk1_esk7_4(X3,X2,X1,X0),X1),X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8376]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1899,plain,
% 2.60/2.84      ( c_Set_Oimage(X0,X0,X1,X2) = X2
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X0,X0,X1,X2),X2)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2407_3) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8344,plain,
% 2.60/2.84      ( c_Set_Oimage(X0,X0,X1,X2) = X2
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X0,X0,X1,X2),X2)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1899]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8345,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X0,X0,X1,X2),X2)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X0,X1,X2)
% 2.60/2.84      | c_Set_Oimage(X0,X0,X1,X2) = X2 ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8344]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1895,plain,
% 2.60/2.84      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X0,X1,X2,X3),X4)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X1,X4)
% 2.60/2.84      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X3),c_Finite__Set_Ocard(X1,X4))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X3) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2409_1) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8336,plain,
% 2.60/2.84      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X0,X1,X2,X3),X4)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X1,X4)
% 2.60/2.84      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X3),c_Finite__Set_Ocard(X1,X4))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X3) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1895]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8337,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X0,X2,X4,X1),X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X2,X4,X1) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8336]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1892,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X0,X2,X4,X1),X3)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X2,X4,X1) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2409_4) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8330,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X0,X2,X4,X1),X3)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X2,X4,X1) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1892]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8331,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X0,X2,X4,X1),X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X2,X4,X1) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8330]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1885,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X0,X2,X4,X1),X3)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X2,X4,X1) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2411_3) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8316,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X0,X2,X4,X1),X3)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X2,X4,X1) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1885]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8317,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X0,X2,X4,X1),X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X2,X4,X1) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8316]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1864,plain,
% 2.60/2.84      ( X0 = X1
% 2.60/2.84      | ~ c_Fun_Oinj__on(X2,X3,X4,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))
% 2.60/2.84      | c_Set_Oimage(X2,X3,X4,X0) != c_Set_Oimage(X2,X3,X4,X1) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2419_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8274,plain,
% 2.60/2.84      ( X0 = X1
% 2.60/2.84      | ~ c_Fun_Oinj__on(X2,X3,X4,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))
% 2.60/2.84      | c_Set_Oimage(X2,X3,X4,X0) != c_Set_Oimage(X2,X3,X4,X1) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1864]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8275,plain,
% 2.60/2.84      ( ~ c_Fun_Oinj__on(X0,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.84      | c_Set_Oimage(X0,X1,X2,X3) != c_Set_Oimage(X0,X1,X2,X4)
% 2.60/2.84      | X3 = X4 ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8274]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1856,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.84      | ~ c_member(X0,X3,X2)
% 2.60/2.84      | hAPP(X1,X3) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.84      | hAPP(X1,sk1_esk30_4(X1,X2,X0,X3)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2421_4) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8258,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.84      | ~ c_member(X0,X3,X2)
% 2.60/2.84      | hAPP(X1,X3) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.84      | hAPP(X1,sk1_esk30_4(X1,X2,X0,X3)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1856]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8259,plain,
% 2.60/2.84      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | ~ c_member(X0,X2,X1)
% 2.60/2.84      | hAPP(X3,sk1_esk30_4(X3,X1,X0,X2)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.84      | hAPP(X3,X2) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X3,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8258]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1846,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.84      | ~ c_member(X0,X3,X2)
% 2.60/2.84      | hAPP(X1,X3) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | hAPP(X1,sk1_esk40_4(X1,X2,X0,X3)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2424_4) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8238,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.84      | ~ c_member(X0,X3,X2)
% 2.60/2.84      | hAPP(X1,X3) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | hAPP(X1,sk1_esk40_4(X1,X2,X0,X3)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1846]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8239,plain,
% 2.60/2.84      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | ~ c_member(X0,X2,X1)
% 2.60/2.84      | hAPP(X3,sk1_esk40_4(X3,X1,X0,X2)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.84      | hAPP(X3,X2) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X3,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8238]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1843,plain,
% 2.60/2.84      ( c_Fun_Oinj__on(X0,X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,c_Set_Oimage(X0,X0,X1,X2))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2425_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8232,plain,
% 2.60/2.84      ( c_Fun_Oinj__on(X0,X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,c_Set_Oimage(X0,X0,X1,X2))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1843]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8233,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oimage(X0,X0,X2,X1))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | c_Fun_Oinj__on(X0,X0,X2,X1) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8232]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1840,plain,
% 2.60/2.84      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.84      | c_Fun_Oinj__on(X1,X2,sk1_esk9_4(X3,X2,X1,X0),X0)
% 2.60/2.84      | c_Set_Oimage(X2,X1,X4,X3) != X0 ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2426_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8226,plain,
% 2.60/2.84      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.84      | c_Fun_Oinj__on(X1,X2,sk1_esk9_4(X3,X2,X1,X0),X0)
% 2.60/2.84      | c_Set_Oimage(X2,X1,X4,X3) != X0 ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1840]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8227,plain,
% 2.60/2.84      ( c_Fun_Oinj__on(X0,X1,sk1_esk9_4(X2,X1,X0,X3),X3)
% 2.60/2.84      | c_Set_Oimage(X1,X0,X4,X2) != X3
% 2.60/2.84      | X3 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8226]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1824,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oimage(X2,X0,X3,X4))
% 2.60/2.84      | X1 != c_Set_Oimage(X2,X0,X3,X5)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X5,X4) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2432_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8194,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oimage(X2,X0,X3,X4))
% 2.60/2.84      | X1 != c_Set_Oimage(X2,X0,X3,X5)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X5,X4) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1824]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8195,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oimage(X2,X0,X3,X4))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X5,X4)
% 2.60/2.84      | X1 != c_Set_Oimage(X2,X0,X3,X5) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8194]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1811,plain,
% 2.60/2.84      ( hAPP(c_Fun_Othe__inv__into(X0,X1,X2,X3),hAPP(X3,X4)) = X4
% 2.60/2.84      | ~ c_member(X0,X4,X2)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X1,X3,X2) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2436_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8168,plain,
% 2.60/2.84      ( hAPP(c_Fun_Othe__inv__into(X0,X1,X2,X3),hAPP(X3,X4)) = X4
% 2.60/2.84      | ~ c_member(X0,X4,X2)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X1,X3,X2) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1811]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8169,plain,
% 2.60/2.84      ( ~ c_member(X0,X1,X2)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X3,X4,X2)
% 2.60/2.84      | hAPP(c_Fun_Othe__inv__into(X0,X3,X2,X4),hAPP(X4,X1)) = X1 ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8168]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1807,plain,
% 2.60/2.84      ( hAPP(c_Fun_Othe__inv__into(X0,X1,X2,X3),X4) = X5
% 2.60/2.84      | ~ c_member(X0,X5,X2)
% 2.60/2.84      | hAPP(X3,X5) != X4
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X1,X3,X2) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2437_3) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8160,plain,
% 2.60/2.84      ( hAPP(c_Fun_Othe__inv__into(X0,X1,X2,X3),X4) = X5
% 2.60/2.84      | ~ c_member(X0,X5,X2)
% 2.60/2.84      | hAPP(X3,X5) != X4
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X1,X3,X2) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1807]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8161,plain,
% 2.60/2.84      ( ~ c_member(X0,X1,X2)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X3,X4,X2)
% 2.60/2.84      | hAPP(c_Fun_Othe__inv__into(X0,X3,X2,X4),X5) = X1
% 2.60/2.84      | hAPP(X4,X1) != X5 ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8160]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1804,plain,
% 2.60/2.84      ( c_Set_Oimage(X0,X1,X2,X3) = c_Set_Oimage(X0,X1,X2,X4)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.84      | X3 != X4 ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2438_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8154,plain,
% 2.60/2.84      ( c_Set_Oimage(X0,X1,X2,X3) = c_Set_Oimage(X0,X1,X2,X4)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.84      | X3 != X4 ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1804]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8155,plain,
% 2.60/2.84      ( ~ c_Fun_Oinj__on(X0,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.84      | c_Set_Oimage(X0,X1,X2,X3) = c_Set_Oimage(X0,X1,X2,X4)
% 2.60/2.84      | X3 != X4 ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8154]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1799,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.84      | c_member(X0,sk1_esk30_4(X1,X2,X0,X3),X2)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.84      | ~ c_member(X0,X3,X2)
% 2.60/2.84      | hAPP(X1,X3) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2439_4) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8144,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.84      | c_member(X0,sk1_esk30_4(X1,X2,X0,X3),X2)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.84      | ~ c_member(X0,X3,X2)
% 2.60/2.84      | hAPP(X1,X3) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1799]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8145,plain,
% 2.60/2.84      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | c_member(X0,sk1_esk30_4(X2,X1,X0,X3),X1)
% 2.60/2.84      | ~ c_member(X0,X3,X1)
% 2.60/2.84      | hAPP(X2,X3) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X2,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8144]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1791,plain,
% 2.60/2.84      ( c_Fun_Oinj__on(X0,X1,sk1_esk7_4(X2,X1,X3,X0),X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X3),c_Finite__Set_Ocard(X1,X2)) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2442_3) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8128,plain,
% 2.60/2.84      ( c_Fun_Oinj__on(X0,X1,sk1_esk7_4(X2,X1,X3,X0),X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X3),c_Finite__Set_Ocard(X1,X2)) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1791]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8129,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.84      | c_Fun_Oinj__on(X0,X2,sk1_esk7_4(X3,X2,X1,X0),X1) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8128]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1781,plain,
% 2.60/2.84      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X3,c_Set_Oimage(X0,X2,X4,X1)) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2447_1) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8108,plain,
% 2.60/2.84      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X3,c_Set_Oimage(X0,X2,X4,X1)) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1781]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8109,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oimage(X2,X0,X3,X4))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X4)
% 2.60/2.84      | c_Finite__Set_Ofinite(X0,X1) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8108]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1780,plain,
% 2.60/2.84      ( c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oimage(X2,X0,X3,X4))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X4) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2447_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8106,plain,
% 2.60/2.84      ( c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oimage(X2,X0,X3,X4))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X4) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1780]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8107,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oimage(X2,X0,X3,X4))
% 2.60/2.84      | c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X4) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8106]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1777,plain,
% 2.60/2.84      ( c_Finite__Set_Ocard(X0,c_Set_Oimage(X1,X0,X2,X3)) = c_Finite__Set_Ocard(X1,X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X1,X0,X2,X3) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2448_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8100,plain,
% 2.60/2.84      ( c_Finite__Set_Ocard(X0,c_Set_Oimage(X1,X0,X2,X3)) = c_Finite__Set_Ocard(X1,X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X1,X0,X2,X3) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1777]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8101,plain,
% 2.60/2.84      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X2,X3,X1)
% 2.60/2.84      | c_Finite__Set_Ocard(X2,c_Set_Oimage(X0,X2,X3,X1)) = c_Finite__Set_Ocard(X0,X1) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8100]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1772,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | c_member(X0,sk1_esk40_4(X1,X2,X0,X3),X2)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.84      | ~ c_member(X0,X3,X2)
% 2.60/2.84      | hAPP(X1,X3) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2449_4) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8090,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | c_member(X0,sk1_esk40_4(X1,X2,X0,X3),X2)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.84      | ~ c_member(X0,X3,X2)
% 2.60/2.84      | hAPP(X1,X3) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1772]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8091,plain,
% 2.60/2.84      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | c_member(X0,sk1_esk40_4(X2,X1,X0,X3),X1)
% 2.60/2.84      | ~ c_member(X0,X3,X1)
% 2.60/2.84      | hAPP(X2,X3) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X2,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8090]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1737,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.84      | ~ c_member(X0,X3,X2)
% 2.60/2.84      | hAPP(X1,X3) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.84      | sk1_esk30_4(X1,X2,X0,X3) != X3 ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2463_4) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8020,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.84      | ~ c_member(X0,X3,X2)
% 2.60/2.84      | hAPP(X1,X3) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.84      | sk1_esk30_4(X1,X2,X0,X3) != X3 ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1737]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8021,plain,
% 2.60/2.84      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | ~ c_member(X0,X2,X1)
% 2.60/2.84      | hAPP(X3,X2) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X3,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | sk1_esk30_4(X3,X1,X0,X2) != X2 ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8020]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1734,plain,
% 2.60/2.84      ( c_member(X0,X1,c_SetInterval_Oord_OgreaterThanLessThan(X0,X2,X3,X4))
% 2.60/2.84      | ~ hBOOL(hAPP(hAPP(X2,X1),X4))
% 2.60/2.84      | ~ hBOOL(hAPP(hAPP(X2,X3),X1)) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2464_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8014,plain,
% 2.60/2.84      ( c_member(X0,X1,c_SetInterval_Oord_OgreaterThanLessThan(X0,X2,X3,X4))
% 2.60/2.84      | ~ hBOOL(hAPP(hAPP(X2,X1),X4))
% 2.60/2.84      | ~ hBOOL(hAPP(hAPP(X2,X3),X1)) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1734]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8015,plain,
% 2.60/2.84      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.84      | ~ hBOOL(hAPP(hAPP(X0,X3),X1))
% 2.60/2.84      | c_member(X4,X1,c_SetInterval_Oord_OgreaterThanLessThan(X4,X0,X3,X2)) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8014]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1731,plain,
% 2.60/2.84      ( c_member(X0,X1,c_SetInterval_Oord_OatLeastAtMost(X0,X2,X3,X4))
% 2.60/2.84      | ~ hBOOL(hAPP(hAPP(X2,X1),X4))
% 2.60/2.84      | ~ hBOOL(hAPP(hAPP(X2,X3),X1)) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2465_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8008,plain,
% 2.60/2.84      ( c_member(X0,X1,c_SetInterval_Oord_OatLeastAtMost(X0,X2,X3,X4))
% 2.60/2.84      | ~ hBOOL(hAPP(hAPP(X2,X1),X4))
% 2.60/2.84      | ~ hBOOL(hAPP(hAPP(X2,X3),X1)) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1731]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8009,plain,
% 2.60/2.84      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.84      | ~ hBOOL(hAPP(hAPP(X0,X3),X1))
% 2.60/2.84      | c_member(X4,X1,c_SetInterval_Oord_OatLeastAtMost(X4,X0,X3,X2)) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8008]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1728,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))
% 2.60/2.84      | hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.84      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2466_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8002,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))
% 2.60/2.84      | hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.84      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1728]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_8003,plain,
% 2.60/2.84      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.84      | hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.84      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_8002]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1724,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.84      | ~ class_Rings_Olinordered__idom(X0)
% 2.60/2.84      | ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2467_3) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7994,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.84      | ~ class_Rings_Olinordered__idom(X0)
% 2.60/2.84      | ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1724]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7995,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.84      | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.84      | ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.84      | ~ class_Rings_Olinordered__idom(X0) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7994]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1718,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat,X0,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat,X0,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))
% 2.60/2.84      | hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2470_1) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7982,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat,X0,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat,X0,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))
% 2.60/2.84      | hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1718]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7983,plain,
% 2.60/2.84      ( hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.84      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat,X0,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat,X0,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7982]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1713,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.84      | ~ c_member(X0,X3,X2)
% 2.60/2.84      | hAPP(X1,X3) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | sk1_esk40_4(X1,X2,X0,X3) != X3 ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2471_4) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7972,plain,
% 2.60/2.84      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.84      | ~ c_member(X0,X3,X2)
% 2.60/2.84      | hAPP(X1,X3) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | sk1_esk40_4(X1,X2,X0,X3) != X3 ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1713]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7973,plain,
% 2.60/2.84      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | ~ c_member(X0,X2,X1)
% 2.60/2.84      | hAPP(X3,X2) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X3,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.84      | sk1_esk40_4(X3,X1,X0,X2) != X2 ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7972]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1711,plain,
% 2.60/2.84      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.84      | c_Fun_Oinj__on(X0,X1,X2,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X4,X3) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2472_1) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7968,plain,
% 2.60/2.84      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.84      | c_Fun_Oinj__on(X0,X1,X2,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X4,X3) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1711]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7969,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X3,X4,X2)
% 2.60/2.84      | c_Fun_Oinj__on(X0,X3,X4,X1) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7968]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1710,plain,
% 2.60/2.84      ( c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X3,X4)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X1,X2,X4) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2472_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7966,plain,
% 2.60/2.84      ( c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X3,X4)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X1,X2,X4) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1710]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7967,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.84      | c_Fun_Oinj__on(X0,X3,X4,X1)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X3,X4,X2) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7966]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1704,plain,
% 2.60/2.84      ( c_Finite__Set_Ocard(tc_sum(X0,X1),c_Sum__Type_OPlus(X0,X1,X2,X3)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X2),c_Finite__Set_Ocard(X1,X3))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2474_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7954,plain,
% 2.60/2.84      ( c_Finite__Set_Ocard(tc_sum(X0,X1),c_Sum__Type_OPlus(X0,X1,X2,X3)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X2),c_Finite__Set_Ocard(X1,X3))
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1704]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7955,plain,
% 2.60/2.84      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.84      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.84      | c_Finite__Set_Ocard(tc_sum(X2,X0),c_Sum__Type_OPlus(X2,X0,X3,X1)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Finite__Set_Ocard(X2,X3),c_Finite__Set_Ocard(X0,X1)) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7954]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1701,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(X0,X2,X4) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2477_0) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7948,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(X0,X2,X4) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1701]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7949,plain,
% 2.60/2.84      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.84      | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(X0,X2,X4) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7948]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1697,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X2))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X1) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2477_4) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7940,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X2))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X1) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1697]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7941,plain,
% 2.60/2.84      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.84      | c_Orderings_Oord__class_Oless(X0,X2,X4)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7940]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1683,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X4))
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2482_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7912,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X4))
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1683]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7913,plain,
% 2.60/2.84      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X2))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7912]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1682,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X4))
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2482_3) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7910,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X4))
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1682]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7911,plain,
% 2.60/2.84      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X2))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7910]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1680,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2482_5) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7906,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1680]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7907,plain,
% 2.60/2.84      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7906]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1677,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X2))
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2483_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7900,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X2))
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1677]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7901,plain,
% 2.60/2.84      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X2))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7900]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1676,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X2))
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X3) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2483_3) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7898,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X2))
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X3) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1676]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7899,plain,
% 2.60/2.84      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X2))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7898]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1674,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(X0,X2,X4) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2483_5) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7894,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(X0,X2,X4) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1674]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7895,plain,
% 2.60/2.84      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X4,X2)
% 2.60/2.84      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(X0,X4,X2) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7894]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1656,plain,
% 2.60/2.84      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.84      | ~ c_member(X0,X4,X3)
% 2.60/2.84      | X4 = X5
% 2.60/2.84      | hAPP(X2,X4) != hAPP(X2,X5)
% 2.60/2.84      | ~ c_member(X0,X5,X3) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2487_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7858,plain,
% 2.60/2.84      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.84      | ~ c_member(X0,X4,X3)
% 2.60/2.84      | X4 = X5
% 2.60/2.84      | hAPP(X2,X4) != hAPP(X2,X5)
% 2.60/2.84      | ~ c_member(X0,X5,X3) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1656]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7859,plain,
% 2.60/2.84      ( ~ c_member(X0,X1,X2)
% 2.60/2.84      | ~ c_member(X0,X3,X2)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X4,X5,X2)
% 2.60/2.84      | hAPP(X5,X1) != hAPP(X5,X3)
% 2.60/2.84      | X1 = X3 ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7858]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1654,plain,
% 2.60/2.84      ( X0 = X1
% 2.60/2.84      | hAPP(X2,X0) != hAPP(X2,X1)
% 2.60/2.84      | ~ c_member(X3,X1,X4)
% 2.60/2.84      | ~ c_member(X3,X0,X4)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X3,X5,X2,X4) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2487_4) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7854,plain,
% 2.60/2.84      ( X0 = X1
% 2.60/2.84      | hAPP(X2,X0) != hAPP(X2,X1)
% 2.60/2.84      | ~ c_member(X3,X1,X4)
% 2.60/2.84      | ~ c_member(X3,X0,X4)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X3,X5,X2,X4) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1654]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7855,plain,
% 2.60/2.84      ( ~ c_member(X0,X1,X2)
% 2.60/2.84      | ~ c_member(X0,X3,X2)
% 2.60/2.84      | ~ c_Fun_Oinj__on(X0,X4,X5,X2)
% 2.60/2.84      | hAPP(X5,X3) != hAPP(X5,X1)
% 2.60/2.84      | X3 = X1 ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7854]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1651,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4)) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2488_2) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7848,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4)) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1651]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7849,plain,
% 2.60/2.84      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4)) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7848]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1650,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X4))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2488_3) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7846,plain,
% 2.60/2.84      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X4))
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 2.60/2.84      inference(copy,[status(esa)],[c_1650]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_7847,plain,
% 2.60/2.84      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X4)) ),
% 2.60/2.84      inference(rewriting,[status(thm)],[c_7846]) ).
% 2.60/2.84  
% 2.60/2.84  cnf(c_1647,plain,
% 2.60/2.84      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.84      | c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 2.60/2.84      | ~ class_Orderings_Oorder(X0)
% 2.60/2.84      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X3)) ),
% 2.60/2.84      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2489_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7840,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X3)) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1647]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7841,plain,
% 2.60/2.85      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X3)) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7840]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1646,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X2))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2489_3) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7838,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X2))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1646]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7839,plain,
% 2.60/2.85      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X2)) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7838]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1643,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4)) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2490_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7832,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4)) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1643]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7833,plain,
% 2.60/2.85      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7832]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1642,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X4))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2490_3) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7830,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X4))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1642]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7831,plain,
% 2.60/2.85      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7830]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1639,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X3)) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2491_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7824,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X3)) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1639]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7825,plain,
% 2.60/2.85      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7824]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1638,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X2))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2491_3) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7822,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X0,X4,X2))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1638]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7823,plain,
% 2.60/2.85      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7822]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1634,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ class_Rings_Olinordered__idom(X0)
% 2.60/2.85      | ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2492_3) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7814,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ class_Rings_Olinordered__idom(X0)
% 2.60/2.85      | ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1634]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7815,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.85      | ~ class_Rings_Olinordered__idom(X0) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7814]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1631,plain,
% 2.60/2.85      ( c_member(X0,sk1_esk29_3(X1,X2,X0),X2)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2493_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7808,plain,
% 2.60/2.85      ( c_member(X0,sk1_esk29_3(X1,X2,X0),X2)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1631]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7809,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.85      | c_member(X0,sk1_esk29_3(X2,X1,X0),X1)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X2,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7808]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1628,plain,
% 2.60/2.85      ( X0 != X1
% 2.60/2.85      | ~ c_member(X2,X1,X3)
% 2.60/2.85      | hAPP(X4,X0) = hAPP(X4,X1)
% 2.60/2.85      | ~ c_Fun_Oinj__on(X2,X5,X4,X3)
% 2.60/2.85      | ~ c_member(X2,X0,X3) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2494_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7802,plain,
% 2.60/2.85      ( X0 != X1
% 2.60/2.85      | ~ c_member(X2,X1,X3)
% 2.60/2.85      | hAPP(X4,X0) = hAPP(X4,X1)
% 2.60/2.85      | ~ c_Fun_Oinj__on(X2,X5,X4,X3)
% 2.60/2.85      | ~ c_member(X2,X0,X3) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1628]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7803,plain,
% 2.60/2.85      ( ~ c_member(X0,X1,X2)
% 2.60/2.85      | ~ c_member(X0,X3,X2)
% 2.60/2.85      | ~ c_Fun_Oinj__on(X0,X4,X5,X2)
% 2.60/2.85      | hAPP(X5,X3) = hAPP(X5,X1)
% 2.60/2.85      | X3 != X1 ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7802]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1626,plain,
% 2.60/2.85      ( hAPP(X0,X1) = hAPP(X0,X2)
% 2.60/2.85      | ~ c_Fun_Oinj__on(X3,X4,X0,X5)
% 2.60/2.85      | ~ c_member(X3,X1,X5)
% 2.60/2.85      | ~ c_member(X3,X2,X5)
% 2.60/2.85      | X1 != X2 ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2494_4) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7798,plain,
% 2.60/2.85      ( hAPP(X0,X1) = hAPP(X0,X2)
% 2.60/2.85      | ~ c_Fun_Oinj__on(X3,X4,X0,X5)
% 2.60/2.85      | ~ c_member(X3,X1,X5)
% 2.60/2.85      | ~ c_member(X3,X2,X5)
% 2.60/2.85      | X1 != X2 ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1626]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7799,plain,
% 2.60/2.85      ( ~ c_member(X0,X1,X2)
% 2.60/2.85      | ~ c_member(X0,X3,X2)
% 2.60/2.85      | ~ c_Fun_Oinj__on(X0,X4,X5,X2)
% 2.60/2.85      | hAPP(X5,X1) = hAPP(X5,X3)
% 2.60/2.85      | X1 != X3 ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7798]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1621,plain,
% 2.60/2.85      ( hAPP(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.85      | sk1_esk29_3(X0,X2,X3) = X1
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X3,X2)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,tc_Nat_Onat,X0,X2) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.85      | ~ c_member(X3,X1,X2) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2495_4) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7788,plain,
% 2.60/2.85      ( hAPP(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.85      | sk1_esk29_3(X0,X2,X3) = X1
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X3,X2)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,tc_Nat_Onat,X0,X2) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.85      | ~ c_member(X3,X1,X2) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1621]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7789,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.85      | ~ c_member(X0,X2,X1)
% 2.60/2.85      | hAPP(X3,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X3,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.85      | sk1_esk29_3(X3,X1,X0) = X2 ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7788]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1613,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.85      | c_Finite__Set_Ofinite(tc_sum(X0,X2),c_Sum__Type_OPlus(X0,X2,X1,X3))
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X2,X3) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2498_1) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7772,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.85      | c_Finite__Set_Ofinite(tc_sum(X0,X2),c_Sum__Type_OPlus(X0,X2,X1,X3))
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X2,X3) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1613]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7773,plain,
% 2.60/2.85      ( c_Finite__Set_Ofinite(tc_sum(X0,X1),c_Sum__Type_OPlus(X0,X1,X2,X3))
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X1,X3) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7772]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1609,plain,
% 2.60/2.85      ( c_member(X0,sk1_esk39_3(X1,X2,X0),X2)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2499_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7764,plain,
% 2.60/2.85      ( c_member(X0,sk1_esk39_3(X1,X2,X0),X2)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1609]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7765,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.85      | c_member(X0,sk1_esk39_3(X2,X1,X0),X1)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X2,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7764]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1608,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4))
% 2.60/2.85      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2500_0) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7762,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4))
% 2.60/2.85      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1608]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7763,plain,
% 2.60/2.85      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4))
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7762]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1605,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.60/2.85      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastLessThan(X0,X2,X1),c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2500_3) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7756,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.60/2.85      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastLessThan(X0,X2,X1),c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1605]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7757,plain,
% 2.60/2.85      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4))
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7756]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1604,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4))
% 2.60/2.85      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2501_0) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7754,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4))
% 2.60/2.85      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1604]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7755,plain,
% 2.60/2.85      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4))
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7754]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1601,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.60/2.85      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastLessThan(X0,X2,X1),c_SetInterval_Oord__class_OatLeastLessThan(X0,X4,X3)) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2501_3) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7748,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.60/2.85      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastLessThan(X0,X2,X1),c_SetInterval_Oord__class_OatLeastLessThan(X0,X4,X3)) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1601]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7749,plain,
% 2.60/2.85      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4))
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7748]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1596,plain,
% 2.60/2.85      ( hAPP(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.85      | sk1_esk39_3(X0,X2,X3) = X1
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X3,X2)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,tc_Nat_Onat,X0,X2) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.85      | ~ c_member(X3,X1,X2) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2502_4) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7738,plain,
% 2.60/2.85      ( hAPP(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.85      | sk1_esk39_3(X0,X2,X3) = X1
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X3,X2)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,tc_Nat_Onat,X0,X2) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.85      | ~ c_member(X3,X1,X2) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1596]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7739,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.85      | ~ c_member(X0,X2,X1)
% 2.60/2.85      | hAPP(X3,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X3,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.85      | sk1_esk39_3(X3,X1,X0) = X2 ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7738]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1593,plain,
% 2.60/2.85      ( hAPP(X0,sk1_esk29_3(X0,X1,X2)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X2,X1)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,tc_Nat_Onat,X0,X1) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2503_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7732,plain,
% 2.60/2.85      ( hAPP(X0,sk1_esk29_3(X0,X1,X2)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X2,X1)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,tc_Nat_Onat,X0,X1) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1593]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7733,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.85      | hAPP(X2,sk1_esk29_3(X2,X1,X0)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X2,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7732]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1581,plain,
% 2.60/2.85      ( X0 != X1
% 2.60/2.85      | c_Set_Oinsert(X2,X0,c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))) = c_Set_Oinsert(X2,X1,c_Set_Oinsert(X2,X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))
% 2.60/2.85      | X3 != X4 ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2509_1) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7708,plain,
% 2.60/2.85      ( X0 != X1
% 2.60/2.85      | c_Set_Oinsert(X2,X0,c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))) = c_Set_Oinsert(X2,X1,c_Set_Oinsert(X2,X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))
% 2.60/2.85      | X3 != X4 ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1581]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7709,plain,
% 2.60/2.85      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) = c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.60/2.85      | X1 != X3
% 2.60/2.85      | X2 != X4 ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7708]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1578,plain,
% 2.60/2.85      ( X0 != X1
% 2.60/2.85      | c_Set_Oinsert(X2,X0,c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))) = c_Set_Oinsert(X2,X4,c_Set_Oinsert(X2,X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))
% 2.60/2.85      | X3 != X4 ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2510_1) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7702,plain,
% 2.60/2.85      ( X0 != X1
% 2.60/2.85      | c_Set_Oinsert(X2,X0,c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))) = c_Set_Oinsert(X2,X4,c_Set_Oinsert(X2,X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))
% 2.60/2.85      | X3 != X4 ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1578]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7703,plain,
% 2.60/2.85      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) = c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.60/2.85      | X1 != X4
% 2.60/2.85      | X2 != X3 ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7702]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1574,plain,
% 2.60/2.85      ( hAPP(X0,sk1_esk39_3(X0,X1,X2)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X2,X1)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2511_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7694,plain,
% 2.60/2.85      ( hAPP(X0,sk1_esk39_3(X0,X1,X2)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X2,X1)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1574]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7695,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.85      | hAPP(X2,sk1_esk39_3(X2,X1,X0)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X2,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7694]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1569,plain,
% 2.60/2.85      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,hAPP(c_Nat_OSuc,X3))) = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.85      | ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X3),X2) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2513_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7684,plain,
% 2.60/2.85      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,hAPP(c_Nat_OSuc,X3))) = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.85      | ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X3),X2) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1569]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7685,plain,
% 2.60/2.85      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,hAPP(c_Nat_OSuc,X1))) = c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7684]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1566,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2)) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2514_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7678,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2)) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1566]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7679,plain,
% 2.60/2.85      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2)) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7678]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1556,plain,
% 2.60/2.85      ( hAPP(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.85      | ~ c_member(X2,X1,X3)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,tc_Nat_Onat,X0,X3) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2517_3) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7658,plain,
% 2.60/2.85      ( hAPP(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.85      | ~ c_member(X2,X1,X3)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,tc_Nat_Onat,X0,X3) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1556]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7659,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.85      | ~ c_member(X0,X2,X1)
% 2.60/2.85      | hAPP(X3,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X3,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7658]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1553,plain,
% 2.60/2.85      ( hAPP(X0,X1) = hAPP(X0,X2)
% 2.60/2.85      | ~ c_Fun_Oinj__on(X3,X4,X0,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))
% 2.60/2.85      | X1 != X2 ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2518_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7652,plain,
% 2.60/2.85      ( hAPP(X0,X1) = hAPP(X0,X2)
% 2.60/2.85      | ~ c_Fun_Oinj__on(X3,X4,X0,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))
% 2.60/2.85      | X1 != X2 ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1553]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7653,plain,
% 2.60/2.85      ( ~ c_Fun_Oinj__on(X0,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.85      | hAPP(X2,X3) = hAPP(X2,X4)
% 2.60/2.85      | X3 != X4 ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7652]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1550,plain,
% 2.60/2.85      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,hAPP(c_Nat_OSuc,X3))) = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.85      | ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2519_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7646,plain,
% 2.60/2.85      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,hAPP(c_Nat_OSuc,X3))) = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.85      | ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1550]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7647,plain,
% 2.60/2.85      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,hAPP(c_Nat_OSuc,X1))) = c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7646]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1523,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X4))
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2528_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7592,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X4))
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1523]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7593,plain,
% 2.60/2.85      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7592]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1522,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2528_3) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7590,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1522]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7591,plain,
% 2.60/2.85      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7590]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1515,plain,
% 2.60/2.85      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.85      | hAPP(X1,sk1_esk28_3(X1,X2,X0)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2530_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7576,plain,
% 2.60/2.85      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.85      | hAPP(X1,sk1_esk28_3(X1,X2,X0)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1515]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7577,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.85      | hAPP(X2,sk1_esk28_3(X2,X1,X0)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.85      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X2,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7576]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1502,plain,
% 2.60/2.85      ( c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.85      | c_Finite__Set_Ocard(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(tc_fun(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X0,X1),tc_HOL_Obool))) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2536_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7550,plain,
% 2.60/2.85      ( c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.85      | c_Finite__Set_Ocard(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(tc_fun(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X0,X1),tc_HOL_Obool))) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1502]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7551,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(tc_fun(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X0,X1),tc_HOL_Obool)))
% 2.60/2.85      | c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.85      | c_Finite__Set_Ocard(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7550]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1494,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.60/2.85      | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2538_3) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7534,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.60/2.85      | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1494]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7535,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X4,X2))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7534]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1492,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2539_1) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7530,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1492]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7531,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7530]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1488,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2540_1) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7522,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1488]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7523,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 2.60/2.85      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X2,X4) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7522]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1483,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2))
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2543_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7512,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2))
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1483]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7513,plain,
% 2.60/2.85      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.85      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2)) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7512]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1482,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2543_3) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7510,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1482]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7511,plain,
% 2.60/2.85      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X4)
% 2.60/2.85      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4)) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7510]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1474,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.85      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2547_1) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7494,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.85      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1474]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7495,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7494]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1471,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2548_1) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7488,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1471]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7489,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7488]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1452,plain,
% 2.60/2.85      ( X0 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.85      | c_Sum__Type_OPlus(X1,X2,X0,X3) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X1,X2),tc_HOL_Obool))
% 2.60/2.85      | X3 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2555_1) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7450,plain,
% 2.60/2.85      ( X0 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.85      | c_Sum__Type_OPlus(X1,X2,X0,X3) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X1,X2),tc_HOL_Obool))
% 2.60/2.85      | X3 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1452]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7451,plain,
% 2.60/2.85      ( c_Sum__Type_OPlus(X0,X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X0,X1),tc_HOL_Obool))
% 2.60/2.85      | X2 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))
% 2.60/2.85      | X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7450]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1447,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.85      | c_Finite__Set_Ofinite(tc_prod(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(X0,X1),tc_HOL_Obool)))
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2557_1) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7440,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.85      | c_Finite__Set_Ofinite(tc_prod(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(X0,X1),tc_HOL_Obool)))
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1447]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7441,plain,
% 2.60/2.85      ( c_Finite__Set_Ofinite(tc_prod(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(X0,X1),tc_HOL_Obool)))
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7440]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1444,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.85      | c_Finite__Set_Ofinite(tc_sum(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(X0,X1),tc_HOL_Obool)))
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2558_1) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7434,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.85      | c_Finite__Set_Ofinite(tc_sum(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(X0,X1),tc_HOL_Obool)))
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1444]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7435,plain,
% 2.60/2.85      ( c_Finite__Set_Ofinite(tc_sum(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(X0,X1),tc_HOL_Obool)))
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7434]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1427,plain,
% 2.60/2.85      ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X3)) = hAPP(X1,X3)
% 2.60/2.85      | X2 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X2,X3)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X4,X3)
% 2.60/2.85      | ~ c_Finite__Set_Ofolding__one__idem(X4,X0,X1) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2562_4) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7400,plain,
% 2.60/2.85      ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X3)) = hAPP(X1,X3)
% 2.60/2.85      | X2 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X2,X3)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X4,X3)
% 2.60/2.85      | ~ c_Finite__Set_Ofolding__one__idem(X4,X0,X1) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1427]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7401,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.85      | ~ c_Finite__Set_Ofolding__one__idem(X0,X3,X4)
% 2.60/2.85      | hAPP(hAPP(X3,hAPP(X4,X1)),hAPP(X4,X2)) = hAPP(X4,X2)
% 2.60/2.85      | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7400]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1423,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X0,X2))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2563_3) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7392,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X0,X2))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1423]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7393,plain,
% 2.60/2.85      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X0,X2))
% 2.60/2.85      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7392]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1414,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk36_2(X0,X1),X1)
% 2.60/2.85      | ~ hBOOL(hAPP(X0,X2))
% 2.60/2.85      | ~ c_member(tc_Nat_Onat,X2,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2566_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7374,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk36_2(X0,X1),X1)
% 2.60/2.85      | ~ hBOOL(hAPP(X0,X2))
% 2.60/2.85      | ~ c_member(tc_Nat_Onat,X2,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1414]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7375,plain,
% 2.60/2.85      ( ~ hBOOL(hAPP(X0,X1))
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk36_2(X0,X2),X2)
% 2.60/2.85      | ~ c_member(tc_Nat_Onat,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7374]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1411,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk11_2(X0,X1),X1)
% 2.60/2.85      | ~ hBOOL(hAPP(X0,X2))
% 2.60/2.85      | ~ c_member(tc_Nat_Onat,X2,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2567_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7368,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk11_2(X0,X1),X1)
% 2.60/2.85      | ~ hBOOL(hAPP(X0,X2))
% 2.60/2.85      | ~ c_member(tc_Nat_Onat,X2,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1411]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7369,plain,
% 2.60/2.85      ( ~ hBOOL(hAPP(X0,X1))
% 2.60/2.85      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk11_2(X0,X2),X2)
% 2.60/2.85      | ~ c_member(tc_Nat_Onat,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7368]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1408,plain,
% 2.60/2.85      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),X1),X1) != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.85      | ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.85      | ~ class_Int_Oring__char__0(X0) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2568_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7362,plain,
% 2.60/2.85      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),X1),X1) != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.85      | ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.85      | ~ class_Int_Oring__char__0(X0) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1408]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7363,plain,
% 2.60/2.85      ( ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.85      | ~ class_Int_Oring__char__0(X0)
% 2.60/2.85      | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),X1),X1) != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7362]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1403,plain,
% 2.60/2.85      ( hAPP(X0,c_Set_Oinsert(X1,X2,X3)) = hAPP(hAPP(X4,X2),hAPP(X0,X3))
% 2.60/2.85      | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.85      | c_member(X1,X2,X3)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.85      | ~ c_Finite__Set_Ofolding__one(X1,X4,X0) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2569_4) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7352,plain,
% 2.60/2.85      ( hAPP(X0,c_Set_Oinsert(X1,X2,X3)) = hAPP(hAPP(X4,X2),hAPP(X0,X3))
% 2.60/2.85      | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.85      | c_member(X1,X2,X3)
% 2.60/2.85      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.85      | ~ c_Finite__Set_Ofolding__one(X1,X4,X0) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1403]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7353,plain,
% 2.60/2.85      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.85      | c_member(X0,X2,X1)
% 2.60/2.85      | ~ c_Finite__Set_Ofolding__one(X0,X3,X4)
% 2.60/2.85      | hAPP(X4,c_Set_Oinsert(X0,X2,X1)) = hAPP(hAPP(X3,X2),hAPP(X4,X1))
% 2.60/2.85      | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7352]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1391,plain,
% 2.60/2.85      ( ~ class_Rings_Oring__1(X0)
% 2.60/2.85      | ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.85      | c_member(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Int_Oring__1__class_OInts(X0))
% 2.60/2.85      | ~ c_member(X0,X2,c_Int_Oring__1__class_OInts(X0)) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2575_1) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7328,plain,
% 2.60/2.85      ( ~ class_Rings_Oring__1(X0)
% 2.60/2.85      | ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.85      | c_member(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Int_Oring__1__class_OInts(X0))
% 2.60/2.85      | ~ c_member(X0,X2,c_Int_Oring__1__class_OInts(X0)) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1391]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7329,plain,
% 2.60/2.85      ( c_member(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Int_Oring__1__class_OInts(X0))
% 2.60/2.85      | ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.85      | ~ c_member(X0,X2,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.85      | ~ class_Rings_Oring__1(X0) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7328]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1381,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2577_3) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7308,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1381]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7309,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X2,X1),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7308]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1373,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.85      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2579_3) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7292,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.85      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1373]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7293,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.85      | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X2,X1))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7292]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1371,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.85      | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2580_1) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7288,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.85      | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1371]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7289,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.85      | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7288]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1367,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2581_1) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7280,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1367]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7281,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.85      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7280]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1363,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2582_1) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7272,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1363]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7273,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7272]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1359,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2583_1) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7264,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1359]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7265,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.85      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.85      inference(rewriting,[status(thm)],[c_7264]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_1345,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.60/2.85      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 2.60/2.85      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2587_2) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7236,plain,
% 2.60/2.85      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.60/2.85      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.60/2.85      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 2.60/2.85      inference(copy,[status(esa)],[c_1345]) ).
% 2.60/2.85  
% 2.60/2.85  cnf(c_7237,plain,
% 2.60/2.85      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_7236]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1342,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.60/2.86      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2588_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7230,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.60/2.86      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1342]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7231,plain,
% 2.60/2.86      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_7230]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1333,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.60/2.86      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2591_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7212,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.60/2.86      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1333]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7213,plain,
% 2.60/2.86      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_7212]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1330,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.60/2.86      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2592_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7206,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.60/2.86      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1330]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7207,plain,
% 2.60/2.86      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_7206]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1306,plain,
% 2.60/2.86      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) != c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | X1 = X3
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2599_1) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7158,plain,
% 2.60/2.86      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) != c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | X1 = X3
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1306]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7159,plain,
% 2.60/2.86      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) != c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)
% 2.60/2.86      | X1 = X3 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_7158]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1303,plain,
% 2.60/2.86      ( X0 = X1
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X2,X1,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X2,X0,X4)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X2,X0,X4) != c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,X3)
% 2.60/2.86      | ~ class_Orderings_Olinorder(X2) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2599_4) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7152,plain,
% 2.60/2.86      ( X0 = X1
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X2,X1,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X2,X0,X4)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X2,X0,X4) != c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,X3)
% 2.60/2.86      | ~ class_Orderings_Olinorder(X2) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1303]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7153,plain,
% 2.60/2.86      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4) != c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2)
% 2.60/2.86      | X3 = X1 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_7152]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1301,plain,
% 2.60/2.86      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) != c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | X2 = X4
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2600_1) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7148,plain,
% 2.60/2.86      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) != c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | X2 = X4
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1301]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7149,plain,
% 2.60/2.86      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) != c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)
% 2.60/2.86      | X2 = X4 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_7148]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1298,plain,
% 2.60/2.86      ( X0 = X1
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X2,X3,X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X2,X4,X0)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X0) != c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)
% 2.60/2.86      | ~ class_Orderings_Olinorder(X2) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2600_4) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7142,plain,
% 2.60/2.86      ( X0 = X1
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X2,X3,X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X2,X4,X0)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X0) != c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)
% 2.60/2.86      | ~ class_Orderings_Olinorder(X2) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1298]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7143,plain,
% 2.60/2.86      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4) != c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2)
% 2.60/2.86      | X4 = X2 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_7142]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1286,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2603_3) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7118,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1286]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_7119,plain,
% 2.60/2.86      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X3,X2)) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_7118]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1223,plain,
% 2.60/2.86      ( hAPP(X0,c_Set_Oinsert(X1,X2,X3)) = hAPP(hAPP(X4,X2),hAPP(X0,X3))
% 2.60/2.86      | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.86      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.86      | ~ c_Finite__Set_Ofolding__one__idem(X1,X4,X0) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2629_3) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6992,plain,
% 2.60/2.86      ( hAPP(X0,c_Set_Oinsert(X1,X2,X3)) = hAPP(hAPP(X4,X2),hAPP(X0,X3))
% 2.60/2.86      | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.86      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.86      | ~ c_Finite__Set_Ofolding__one__idem(X1,X4,X0) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1223]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6993,plain,
% 2.60/2.86      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.86      | ~ c_Finite__Set_Ofolding__one__idem(X0,X2,X3)
% 2.60/2.86      | hAPP(X3,c_Set_Oinsert(X0,X4,X1)) = hAPP(hAPP(X2,X4),hAPP(X3,X1))
% 2.60/2.86      | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6992]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1212,plain,
% 2.60/2.86      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X3) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2634_1) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6970,plain,
% 2.60/2.86      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X3) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1212]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6971,plain,
% 2.60/2.86      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X3,X1)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X3,X2) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6970]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1211,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X3,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2634_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6968,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X3,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1211]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6969,plain,
% 2.60/2.86      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X3,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X3,X1) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6968]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1208,plain,
% 2.60/2.86      ( c_member(tc_Nat_Onat,sk1_esk35_2(X0,X1),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))
% 2.60/2.86      | ~ hBOOL(hAPP(X0,X2))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2635_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6962,plain,
% 2.60/2.86      ( c_member(tc_Nat_Onat,sk1_esk35_2(X0,X1),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))
% 2.60/2.86      | ~ hBOOL(hAPP(X0,X2))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1208]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6963,plain,
% 2.60/2.86      ( ~ hBOOL(hAPP(X0,X1))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 2.60/2.86      | c_member(tc_Nat_Onat,sk1_esk35_2(X0,X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6962]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1205,plain,
% 2.60/2.86      ( c_member(tc_Nat_Onat,sk1_esk10_2(X0,X1),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))
% 2.60/2.86      | ~ hBOOL(hAPP(X0,X2))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2636_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6956,plain,
% 2.60/2.86      ( c_member(tc_Nat_Onat,sk1_esk10_2(X0,X1),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))
% 2.60/2.86      | ~ hBOOL(hAPP(X0,X2))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1205]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6957,plain,
% 2.60/2.86      ( ~ hBOOL(hAPP(X0,X1))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 2.60/2.86      | c_member(tc_Nat_Onat,sk1_esk10_2(X0,X2),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6956]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1191,plain,
% 2.60/2.86      ( X0 = X1
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X2,X1),c_Finite__Set_Ocard(X2,X0))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X0,X1)
% 2.60/2.86      | ~ c_Finite__Set_Ofinite(X2,X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2643_3) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6928,plain,
% 2.60/2.86      ( X0 = X1
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X2,X1),c_Finite__Set_Ocard(X2,X0))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X0,X1)
% 2.60/2.86      | ~ c_Finite__Set_Ofinite(X2,X1) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1191]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6929,plain,
% 2.60/2.86      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X0,X2))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X1)
% 2.60/2.86      | ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.86      | X2 = X1 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6928]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1174,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2651_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6894,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1174]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6895,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X3) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6894]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1171,plain,
% 2.60/2.86      ( hBOOL(hAPP(X0,X1))
% 2.60/2.86      | c_member(tc_Nat_Onat,sk1_esk38_2(X0,X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2652_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6888,plain,
% 2.60/2.86      ( hBOOL(hAPP(X0,X1))
% 2.60/2.86      | c_member(tc_Nat_Onat,sk1_esk38_2(X0,X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1171]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6889,plain,
% 2.60/2.86      ( hBOOL(hAPP(X0,X1))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 2.60/2.86      | c_member(tc_Nat_Onat,sk1_esk38_2(X0,X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6888]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1168,plain,
% 2.60/2.86      ( hBOOL(hAPP(X0,X1))
% 2.60/2.86      | c_member(tc_Nat_Onat,sk1_esk21_2(X0,X2),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2653_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6882,plain,
% 2.60/2.86      ( hBOOL(hAPP(X0,X1))
% 2.60/2.86      | c_member(tc_Nat_Onat,sk1_esk21_2(X0,X2),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1168]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6883,plain,
% 2.60/2.86      ( hBOOL(hAPP(X0,X1))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 2.60/2.86      | c_member(tc_Nat_Onat,sk1_esk21_2(X0,X2),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6882]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1155,plain,
% 2.60/2.86      ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.86      | X1 = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2660_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6856,plain,
% 2.60/2.86      ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.86      | X1 = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1155]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6857,plain,
% 2.60/2.86      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6856]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1153,plain,
% 2.60/2.86      ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2660_4) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6852,plain,
% 2.60/2.86      ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1153]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6853,plain,
% 2.60/2.86      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6852]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1150,plain,
% 2.60/2.86      ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.86      | X2 = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2661_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6846,plain,
% 2.60/2.86      ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.86      | X2 = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1150]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6847,plain,
% 2.60/2.86      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6846]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1148,plain,
% 2.60/2.86      ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2661_4) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6842,plain,
% 2.60/2.86      ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1148]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6843,plain,
% 2.60/2.86      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6842]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1145,plain,
% 2.60/2.86      ( X0 != X1
% 2.60/2.86      | X2 != X3
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X4,X1,X3)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X4,X0,X2) = c_SetInterval_Oord__class_OatLeastLessThan(X4,X1,X3)
% 2.60/2.86      | ~ class_Orderings_Olinorder(X4)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X4,X0,X2) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2662_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6836,plain,
% 2.60/2.86      ( X0 != X1
% 2.60/2.86      | X2 != X3
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X4,X1,X3)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X4,X0,X2) = c_SetInterval_Oord__class_OatLeastLessThan(X4,X1,X3)
% 2.60/2.86      | ~ class_Orderings_Olinorder(X4)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X4,X0,X2) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1145]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6837,plain,
% 2.60/2.86      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4) = c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2)
% 2.60/2.86      | X3 != X1
% 2.60/2.86      | X4 != X2 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6836]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1143,plain,
% 2.60/2.86      ( X0 != X1
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X2,X0,X3) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,X4)
% 2.60/2.86      | ~ class_Orderings_Olinorder(X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X2,X0,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X2,X1,X4)
% 2.60/2.86      | X3 != X4 ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2662_4) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6832,plain,
% 2.60/2.86      ( X0 != X1
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X2,X0,X3) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,X4)
% 2.60/2.86      | ~ class_Orderings_Olinorder(X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X2,X0,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X2,X1,X4)
% 2.60/2.86      | X3 != X4 ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1143]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6833,plain,
% 2.60/2.86      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) = c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)
% 2.60/2.86      | X1 != X3
% 2.60/2.86      | X2 != X4 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6832]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1142,plain,
% 2.60/2.86      ( c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) = c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)
% 2.60/2.86      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 2.60/2.86      | X2 != X4
% 2.60/2.86      | X1 != X3 ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2662_5) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6830,plain,
% 2.60/2.86      ( c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) = c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)
% 2.60/2.86      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 2.60/2.86      | X2 != X4
% 2.60/2.86      | X1 != X3 ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1142]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6831,plain,
% 2.60/2.86      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) = c_SetInterval_Oord__class_OatLeastLessThan(X0,X3,X4)
% 2.60/2.86      | X2 != X4
% 2.60/2.86      | X1 != X3 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6830]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1139,plain,
% 2.60/2.86      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 2.60/2.86      | ~ class_Orderings_Oord(X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2663_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6824,plain,
% 2.60/2.86      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 2.60/2.86      | ~ class_Orderings_Oord(X1) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1139]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6825,plain,
% 2.60/2.86      ( ~ class_Orderings_Oord(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6824]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1138,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 2.60/2.86      | ~ class_Orderings_Oord(X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2663_3) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6822,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3,X2)
% 2.60/2.86      | ~ class_Orderings_Oord(X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1138]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6823,plain,
% 2.60/2.86      ( ~ class_Orderings_Oord(X0)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X3,X2) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6822]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1125,plain,
% 2.60/2.86      ( c_Set_Oinsert(X0,X1,X2) != c_Set_Oinsert(X0,X1,X3)
% 2.60/2.86      | X2 = X3
% 2.60/2.86      | c_member(X0,X1,X3)
% 2.60/2.86      | c_member(X0,X1,X2) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2672_0) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6796,plain,
% 2.60/2.86      ( c_Set_Oinsert(X0,X1,X2) != c_Set_Oinsert(X0,X1,X3)
% 2.60/2.86      | X2 = X3
% 2.60/2.86      | c_member(X0,X1,X3)
% 2.60/2.86      | c_member(X0,X1,X2) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1125]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6797,plain,
% 2.60/2.86      ( c_member(X0,X1,X2)
% 2.60/2.86      | c_member(X0,X1,X3)
% 2.60/2.86      | c_Set_Oinsert(X0,X1,X3) != c_Set_Oinsert(X0,X1,X2)
% 2.60/2.86      | X3 = X2 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6796]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1122,plain,
% 2.60/2.86      ( c_member(X0,X1,X2)
% 2.60/2.86      | c_member(X0,X1,X3)
% 2.60/2.86      | X2 = X3
% 2.60/2.86      | c_Set_Oinsert(X0,X1,X2) != c_Set_Oinsert(X0,X1,X3) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2672_3) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6790,plain,
% 2.60/2.86      ( c_member(X0,X1,X2)
% 2.60/2.86      | c_member(X0,X1,X3)
% 2.60/2.86      | X2 = X3
% 2.60/2.86      | c_Set_Oinsert(X0,X1,X2) != c_Set_Oinsert(X0,X1,X3) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1122]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6791,plain,
% 2.60/2.86      ( c_member(X0,X1,X2)
% 2.60/2.86      | c_member(X0,X1,X3)
% 2.60/2.86      | c_Set_Oinsert(X0,X1,X2) != c_Set_Oinsert(X0,X1,X3)
% 2.60/2.86      | X2 = X3 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6790]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1115,plain,
% 2.60/2.86      ( hAPP(hAPP(X0,X1),hAPP(X2,X3)) = hAPP(X2,X3)
% 2.60/2.86      | ~ c_member(X4,X1,X3)
% 2.60/2.86      | ~ c_Finite__Set_Ofinite(X4,X3)
% 2.60/2.86      | ~ c_Finite__Set_Ofolding__one__idem(X4,X0,X2) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2674_3) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6776,plain,
% 2.60/2.86      ( hAPP(hAPP(X0,X1),hAPP(X2,X3)) = hAPP(X2,X3)
% 2.60/2.86      | ~ c_member(X4,X1,X3)
% 2.60/2.86      | ~ c_Finite__Set_Ofinite(X4,X3)
% 2.60/2.86      | ~ c_Finite__Set_Ofolding__one__idem(X4,X0,X2) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1115]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6777,plain,
% 2.60/2.86      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.86      | ~ c_member(X0,X2,X1)
% 2.60/2.86      | ~ c_Finite__Set_Ofolding__one__idem(X0,X3,X4)
% 2.60/2.86      | hAPP(hAPP(X3,X2),hAPP(X4,X1)) = hAPP(X4,X1) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6776]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1112,plain,
% 2.60/2.86      ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | X2 != c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2675_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6770,plain,
% 2.60/2.86      ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | X2 != c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1112]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6771,plain,
% 2.60/2.86      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X0,X2,X1) = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | X2 != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6770]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1110,plain,
% 2.60/2.86      ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 2.60/2.86      | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2675_4) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6766,plain,
% 2.60/2.86      ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
% 2.60/2.86      | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1110]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6767,plain,
% 2.60/2.86      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | X1 != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6766]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1109,plain,
% 2.60/2.86      ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.86      | X2 != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2675_5) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6764,plain,
% 2.60/2.86      ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.86      | X2 != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1109]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6765,plain,
% 2.60/2.86      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | X2 != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6764]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1100,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.86      | ~ class_Rings_Olinordered__idom(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2678_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6746,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.86      | ~ class_Rings_Olinordered__idom(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1100]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6747,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.86      | ~ class_Rings_Olinordered__idom(X0) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6746]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1097,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 2.60/2.86      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2679_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6740,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 2.60/2.86      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1097]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6741,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.86      | ~ class_Groups_Olinordered__ab__group__add(X0) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6740]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1094,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.86      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2680_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6734,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.86      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1094]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6735,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.86      | ~ class_Groups_Olinordered__ab__group__add(X0) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6734]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1091,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 2.60/2.86      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2681_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6728,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 2.60/2.86      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1091]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6729,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.60/2.86      | ~ class_Groups_Olinordered__ab__group__add(X0) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6728]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1088,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.86      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2682_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6722,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.86      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1088]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6723,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.60/2.86      | ~ class_Groups_Olinordered__ab__group__add(X0) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6722]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1075,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.86      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OgreaterThan(X0,X2),c_SetInterval_Oord__class_OgreaterThan(X0,X1)) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2686_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6696,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.86      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OgreaterThan(X0,X2),c_SetInterval_Oord__class_OgreaterThan(X0,X1)) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1075]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6697,plain,
% 2.60/2.86      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OgreaterThan(X0,X1),c_SetInterval_Oord__class_OgreaterThan(X0,X2))
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6696]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1057,plain,
% 2.60/2.86      ( X0 = X1
% 2.60/2.86      | ~ class_Orderings_Oorder(X2)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastAtMost(X2,X0,X1) != c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2692_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6660,plain,
% 2.60/2.86      ( X0 = X1
% 2.60/2.86      | ~ class_Orderings_Oorder(X2)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastAtMost(X2,X0,X1) != c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1057]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6661,plain,
% 2.60/2.86      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) != c_Set_Oinsert(X0,X3,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.86      | X1 = X2 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6660]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1054,plain,
% 2.60/2.86      ( X0 = X1
% 2.60/2.86      | ~ class_Orderings_Oorder(X2)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X0) != c_Set_Oinsert(X2,X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2693_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6654,plain,
% 2.60/2.86      ( X0 = X1
% 2.60/2.86      | ~ class_Orderings_Oorder(X2)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X0) != c_Set_Oinsert(X2,X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1054]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6655,plain,
% 2.60/2.86      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.86      | c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) != c_Set_Oinsert(X0,X3,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.86      | X2 = X3 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6654]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1051,plain,
% 2.60/2.86      ( ~ class_Orderings_Oord(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2694_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6648,plain,
% 2.60/2.86      ( ~ class_Orderings_Oord(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3,X2) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1051]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6649,plain,
% 2.60/2.86      ( ~ class_Orderings_Oord(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X3,X2) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6648]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1046,plain,
% 2.60/2.86      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk1_esk41_2(X1,X2))
% 2.60/2.86      | ~ hBOOL(hAPP(X2,X0))
% 2.60/2.86      | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 2.60/2.86      | ~ hBOOL(hAPP(X2,X1)) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2696_1) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6638,plain,
% 2.60/2.86      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk1_esk41_2(X1,X2))
% 2.60/2.86      | ~ hBOOL(hAPP(X2,X0))
% 2.60/2.86      | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 2.60/2.86      | ~ hBOOL(hAPP(X2,X1)) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1046]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6639,plain,
% 2.60/2.86      ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 2.60/2.86      | ~ hBOOL(hAPP(X0,X1))
% 2.60/2.86      | ~ hBOOL(hAPP(X0,X2))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,sk1_esk41_2(X2,X0)) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6638]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1018,plain,
% 2.60/2.86      ( X0 = X1
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X0,X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2709_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6582,plain,
% 2.60/2.86      ( X0 = X1
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X0,X1) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1018]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6583,plain,
% 2.60/2.86      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X1)
% 2.60/2.86      | X2 = X1 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6582]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1015,plain,
% 2.60/2.86      ( c_Finite__Set_Ocard(X0,c_Set_Oinsert(X0,X1,X2)) = c_Finite__Set_Ocard(X0,X2)
% 2.60/2.86      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.86      | ~ c_member(X0,X1,X2) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2710_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6576,plain,
% 2.60/2.86      ( c_Finite__Set_Ocard(X0,c_Set_Oinsert(X0,X1,X2)) = c_Finite__Set_Ocard(X0,X2)
% 2.60/2.86      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.86      | ~ c_member(X0,X1,X2) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1015]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6577,plain,
% 2.60/2.86      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.86      | ~ c_member(X0,X2,X1)
% 2.60/2.86      | c_Finite__Set_Ocard(X0,c_Set_Oinsert(X0,X2,X1)) = c_Finite__Set_Ocard(X0,X1) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6576]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_1013,plain,
% 2.60/2.86      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2711_1) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6572,plain,
% 2.60/2.86      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_1013]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6573,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6572]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_974,plain,
% 2.60/2.86      ( c_Finite__Set_Ocard(X0,X1) = hAPP(c_Nat_OSuc,X2)
% 2.60/2.86      | c_member(X0,X3,X4)
% 2.60/2.86      | X1 != c_Set_Oinsert(X0,X3,X4)
% 2.60/2.86      | c_Finite__Set_Ocard(X0,X4) != X2
% 2.60/2.86      | X4 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2727_4) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6494,plain,
% 2.60/2.86      ( c_Finite__Set_Ocard(X0,X1) = hAPP(c_Nat_OSuc,X2)
% 2.60/2.86      | c_member(X0,X3,X4)
% 2.60/2.86      | X1 != c_Set_Oinsert(X0,X3,X4)
% 2.60/2.86      | c_Finite__Set_Ocard(X0,X4) != X2
% 2.60/2.86      | X4 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_974]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6495,plain,
% 2.60/2.86      ( c_member(X0,X1,X2)
% 2.60/2.86      | c_Finite__Set_Ocard(X0,X3) = hAPP(c_Nat_OSuc,X4)
% 2.60/2.86      | c_Finite__Set_Ocard(X0,X2) != X4
% 2.60/2.86      | X2 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))
% 2.60/2.86      | X3 != c_Set_Oinsert(X0,X1,X2) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6494]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_950,plain,
% 2.60/2.86      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2734_1) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6446,plain,
% 2.60/2.86      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_950]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6447,plain,
% 2.60/2.86      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6446]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_948,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.60/2.86      | ~ class_Orderings_Oorder(X0) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2734_3) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6442,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.60/2.86      | ~ class_Orderings_Oorder(X0) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_948]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6443,plain,
% 2.60/2.86      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6442]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_942,plain,
% 2.60/2.86      ( ~ class_Orderings_Opreorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2736_1) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6430,plain,
% 2.60/2.86      ( ~ class_Orderings_Opreorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_942]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6431,plain,
% 2.60/2.86      ( ~ class_Orderings_Opreorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6430]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_940,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.60/2.86      | ~ class_Orderings_Opreorder(X0) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2736_3) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6426,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.60/2.86      | ~ class_Orderings_Opreorder(X0) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_940]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6427,plain,
% 2.60/2.86      ( ~ class_Orderings_Opreorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6426]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_931,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OgreaterThan(X0,X1),c_SetInterval_Oord__class_OgreaterThan(X0,X2))
% 2.60/2.86      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2740_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6408,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OgreaterThan(X0,X1),c_SetInterval_Oord__class_OgreaterThan(X0,X2))
% 2.60/2.86      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_931]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6409,plain,
% 2.60/2.86      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OgreaterThan(X0,X1),c_SetInterval_Oord__class_OgreaterThan(X0,X2))
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6408]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_930,plain,
% 2.60/2.86      ( X0 != X1
% 2.60/2.86      | c_Set_Oinsert(X2,X3,X0) = c_Set_Oinsert(X2,X3,X1)
% 2.60/2.86      | c_member(X2,X3,X1)
% 2.60/2.86      | c_member(X2,X3,X0) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2741_0) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6406,plain,
% 2.60/2.86      ( X0 != X1
% 2.60/2.86      | c_Set_Oinsert(X2,X3,X0) = c_Set_Oinsert(X2,X3,X1)
% 2.60/2.86      | c_member(X2,X3,X1)
% 2.60/2.86      | c_member(X2,X3,X0) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_930]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6407,plain,
% 2.60/2.86      ( c_member(X0,X1,X2)
% 2.60/2.86      | c_member(X0,X1,X3)
% 2.60/2.86      | c_Set_Oinsert(X0,X1,X3) = c_Set_Oinsert(X0,X1,X2)
% 2.60/2.86      | X3 != X2 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6406]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_907,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 2.60/2.86      | ~ class_Orderings_Oord(X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2749_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6360,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2,X3)
% 2.60/2.86      | ~ class_Orderings_Oord(X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_907]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6361,plain,
% 2.60/2.86      ( ~ class_Orderings_Oord(X0)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6360]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_892,plain,
% 2.60/2.86      ( X0 = X1
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2755_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6330,plain,
% 2.60/2.86      ( X0 = X1
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_892]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6331,plain,
% 2.60/2.86      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X0))
% 2.60/2.86      | X1 = X0 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6330]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_883,plain,
% 2.60/2.86      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.60/2.86      | ~ class_Orderings_Opreorder(X0) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2760_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6312,plain,
% 2.60/2.86      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.60/2.86      | ~ class_Orderings_Opreorder(X0) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_883]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6313,plain,
% 2.60/2.86      ( ~ class_Orderings_Opreorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6312]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_882,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.60/2.86      | ~ class_Orderings_Opreorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2760_3) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6310,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.60/2.86      | ~ class_Orderings_Opreorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_882]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6311,plain,
% 2.60/2.86      ( ~ class_Orderings_Opreorder(X0)
% 2.60/2.86      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6310]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_879,plain,
% 2.60/2.86      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk23_2(X1,X0),X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2761_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6304,plain,
% 2.60/2.86      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk23_2(X1,X0),X1)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_879]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6305,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk23_2(X0,X1),X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X0))
% 2.60/2.86      | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6304]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_867,plain,
% 2.60/2.86      ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | ~ class_Int_Oring__char__0(X1)
% 2.60/2.86      | ~ c_member(X1,X0,c_Int_Oring__1__class_OInts(X1))
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X1,X0,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2765_3) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6280,plain,
% 2.60/2.86      ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.86      | ~ class_Int_Oring__char__0(X1)
% 2.60/2.86      | ~ c_member(X1,X0,c_Int_Oring__1__class_OInts(X1))
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X1,X0,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_867]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6281,plain,
% 2.60/2.86      ( ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.86      | ~ class_Int_Oring__char__0(X0)
% 2.60/2.86      | c_Groups_Oplus__class_Oplus(X0,X1,X1) != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.86      | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6280]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_848,plain,
% 2.60/2.86      ( c_Finite__Set_Ocard(X0,X1) = hAPP(c_Nat_OSuc,X2)
% 2.60/2.86      | c_member(X0,X3,X4)
% 2.60/2.86      | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.86      | X1 != c_Set_Oinsert(X0,X3,X4)
% 2.60/2.86      | c_Finite__Set_Ocard(X0,X4) != X2 ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2772_4) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6242,plain,
% 2.60/2.86      ( c_Finite__Set_Ocard(X0,X1) = hAPP(c_Nat_OSuc,X2)
% 2.60/2.86      | c_member(X0,X3,X4)
% 2.60/2.86      | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.86      | X1 != c_Set_Oinsert(X0,X3,X4)
% 2.60/2.86      | c_Finite__Set_Ocard(X0,X4) != X2 ),
% 2.60/2.86      inference(copy,[status(esa)],[c_848]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6243,plain,
% 2.60/2.86      ( c_member(X0,X1,X2)
% 2.60/2.86      | c_Finite__Set_Ocard(X0,X3) = hAPP(c_Nat_OSuc,X4)
% 2.60/2.86      | c_Finite__Set_Ocard(X0,X2) != X4
% 2.60/2.86      | X4 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.86      | X3 != c_Set_Oinsert(X0,X1,X2) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6242]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_845,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 2.60/2.86      | X1 = X0
% 2.60/2.86      | hBOOL(hAPP(hAPP(X2,X0),X1)) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2775_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6236,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 2.60/2.86      | X1 = X0
% 2.60/2.86      | hBOOL(hAPP(hAPP(X2,X0),X1)) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_845]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6237,plain,
% 2.60/2.86      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 2.60/2.86      | X2 = X1 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6236]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_844,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.86      | X0 = X1
% 2.60/2.86      | hBOOL(hAPP(hAPP(X2,X1),X0))
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2775_3) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6234,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.86      | X0 = X1
% 2.60/2.86      | hBOOL(hAPP(hAPP(X2,X1),X0))
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_844]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6235,plain,
% 2.60/2.86      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 2.60/2.86      | X2 = X1 ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6234]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_841,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ class_Orderings_Oord(X0)
% 2.60/2.86      | ~ c_member(X0,X2,c_SetInterval_Oord__class_OgreaterThan(X0,X1)) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2776_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6228,plain,
% 2.60/2.86      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ class_Orderings_Oord(X0)
% 2.60/2.86      | ~ c_member(X0,X2,c_SetInterval_Oord__class_OgreaterThan(X0,X1)) ),
% 2.60/2.86      inference(copy,[status(esa)],[c_841]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6229,plain,
% 2.60/2.86      ( ~ class_Orderings_Oord(X0)
% 2.60/2.86      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ c_member(X0,X2,c_SetInterval_Oord__class_OgreaterThan(X0,X1)) ),
% 2.60/2.86      inference(rewriting,[status(thm)],[c_6228]) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_768,plain,
% 2.60/2.86      ( ~ class_Orderings_Opreorder(X0)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.86      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.60/2.86      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2801_2) ).
% 2.60/2.86  
% 2.60/2.86  cnf(c_6082,plain,
% 2.60/2.86      ( ~ class_Orderings_Opreorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_768]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_6083,plain,
% 2.60/2.87      ( ~ class_Orderings_Opreorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_6082]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_744,plain,
% 2.60/2.87      ( X0 != X1
% 2.60/2.87      | c_SetInterval_Oord__class_OatLeastAtMost(X2,X0,X1) = c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))
% 2.60/2.87      | ~ class_Orderings_Oorder(X2)
% 2.60/2.87      | X1 != X3 ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2809_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_6034,plain,
% 2.60/2.87      ( X0 != X1
% 2.60/2.87      | c_SetInterval_Oord__class_OatLeastAtMost(X2,X0,X1) = c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))
% 2.60/2.87      | ~ class_Orderings_Oorder(X2)
% 2.60/2.87      | X1 != X3 ),
% 2.60/2.87      inference(copy,[status(esa)],[c_744]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_6035,plain,
% 2.60/2.87      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) = c_Set_Oinsert(X0,X3,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.87      | X1 != X2
% 2.60/2.87      | X2 != X3 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_6034]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_743,plain,
% 2.60/2.87      ( c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) = c_Set_Oinsert(X0,X3,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.87      | ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | X2 != X3
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2809_3) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_6032,plain,
% 2.60/2.87      ( c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) = c_Set_Oinsert(X0,X3,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.87      | ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | X2 != X3
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      inference(copy,[status(esa)],[c_743]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_6033,plain,
% 2.60/2.87      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) = c_Set_Oinsert(X0,X3,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.87      | X2 != X3
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_6032]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_734,plain,
% 2.60/2.87      ( c_member(X0,X1,c_SetInterval_Oord__class_OgreaterThan(X0,X2))
% 2.60/2.87      | ~ class_Orderings_Oord(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2813_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_6014,plain,
% 2.60/2.87      ( c_member(X0,X1,c_SetInterval_Oord__class_OgreaterThan(X0,X2))
% 2.60/2.87      | ~ class_Orderings_Oord(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_734]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_6015,plain,
% 2.60/2.87      ( ~ class_Orderings_Oord(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | c_member(X0,X2,c_SetInterval_Oord__class_OgreaterThan(X0,X1)) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_6014]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_729,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1)
% 2.60/2.87      | hAPP(c_Nat_OSuc,X0) = X1
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2815_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_6004,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1)
% 2.60/2.87      | hAPP(c_Nat_OSuc,X0) = X1
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_729]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_6005,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.87      | hAPP(c_Nat_OSuc,X0) = X1 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_6004]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_708,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.87      | ~ class_Int_Oring__char__0(X0)
% 2.60/2.87      | ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.87      | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2824_3) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5962,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.87      | ~ class_Int_Oring__char__0(X0)
% 2.60/2.87      | ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.87      | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_708]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5963,plain,
% 2.60/2.87      ( ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.60/2.87      | ~ class_Int_Oring__char__0(X0)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.87      | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5962]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_705,plain,
% 2.60/2.87      ( X0 = X1
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2825_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5956,plain,
% 2.60/2.87      ( X0 = X1
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_705]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5957,plain,
% 2.60/2.87      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 2.60/2.87      | X1 = X0 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5956]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_688,plain,
% 2.60/2.87      ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 2.60/2.87      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk41_2(X1,X0),X1)
% 2.60/2.87      | ~ hBOOL(hAPP(X0,X1)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2835_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5922,plain,
% 2.60/2.87      ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 2.60/2.87      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk41_2(X1,X0),X1)
% 2.60/2.87      | ~ hBOOL(hAPP(X0,X1)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_688]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5923,plain,
% 2.60/2.87      ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 2.60/2.87      | ~ hBOOL(hAPP(X0,X1))
% 2.60/2.87      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk41_2(X1,X0),X1) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5922]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_685,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 2.60/2.87      | X0 != X1 ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2836_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5916,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 2.60/2.87      | X0 != X1 ),
% 2.60/2.87      inference(copy,[status(esa)],[c_685]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5917,plain,
% 2.60/2.87      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X0))
% 2.60/2.87      | X1 != X0 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5916]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_682,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk1_esk14_1(X1))
% 2.60/2.87      | ~ c_member(tc_Nat_Onat,X0,X1)
% 2.60/2.87      | ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X1) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2837_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5910,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk1_esk14_1(X1))
% 2.60/2.87      | ~ c_member(tc_Nat_Onat,X0,X1)
% 2.60/2.87      | ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X1) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_682]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5911,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sk1_esk14_1(X1))
% 2.60/2.87      | ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X1)
% 2.60/2.87      | ~ c_member(tc_Nat_Onat,X0,X1) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5910]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_646,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | X3 != X1
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.60/2.87      | ~ class_Orderings_Oorder(X0) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2855_3) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5838,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | X3 != X1
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.60/2.87      | ~ class_Orderings_Oorder(X0) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_646]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5839,plain,
% 2.60/2.87      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.60/2.87      | X3 != X1 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5838]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_642,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | X3 != X2
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.60/2.87      | ~ class_Orderings_Oord(X0) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2856_3) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5830,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | X3 != X2
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.60/2.87      | ~ class_Orderings_Oord(X0) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_642]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5831,plain,
% 2.60/2.87      ( ~ class_Orderings_Oord(X0)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.60/2.87      | X3 != X2 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5830]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_638,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | X3 != X1
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.60/2.87      | ~ class_Orderings_Oorder(X0) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2857_3) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5822,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | X3 != X1
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.60/2.87      | ~ class_Orderings_Oorder(X0) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_638]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5823,plain,
% 2.60/2.87      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.60/2.87      | X3 != X1 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5822]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_634,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | X3 != X2
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.60/2.87      | ~ class_Orderings_Oord(X0) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2858_3) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5814,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | X3 != X2
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.60/2.87      | ~ class_Orderings_Oord(X0) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_634]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5815,plain,
% 2.60/2.87      ( ~ class_Orderings_Oord(X0)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.60/2.87      | X3 != X2 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5814]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_633,plain,
% 2.60/2.87      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | X1 != X2
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2859_0) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5812,plain,
% 2.60/2.87      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | X1 != X2
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_633]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5813,plain,
% 2.60/2.87      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.60/2.87      | X3 != X2 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5812]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_629,plain,
% 2.60/2.87      ( ~ class_Orderings_Oord(X0)
% 2.60/2.87      | X1 != X2
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2860_0) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5804,plain,
% 2.60/2.87      ( ~ class_Orderings_Oord(X0)
% 2.60/2.87      | X1 != X2
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_629]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5805,plain,
% 2.60/2.87      ( ~ class_Orderings_Oord(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.60/2.87      | X3 != X1 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5804]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_625,plain,
% 2.60/2.87      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | X1 != X2
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2861_0) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5796,plain,
% 2.60/2.87      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | X1 != X2
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_625]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5797,plain,
% 2.60/2.87      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.60/2.87      | X3 != X2 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5796]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_621,plain,
% 2.60/2.87      ( ~ class_Orderings_Oord(X0)
% 2.60/2.87      | X1 != X2
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2862_0) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5788,plain,
% 2.60/2.87      ( ~ class_Orderings_Oord(X0)
% 2.60/2.87      | X1 != X2
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_621]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5789,plain,
% 2.60/2.87      ( ~ class_Orderings_Oord(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.60/2.87      | X3 != X1 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5788]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_616,plain,
% 2.60/2.87      ( X0 != X1
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
% 2.60/2.87      | ~ class_Orderings_Oorder(X2) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2863_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5778,plain,
% 2.60/2.87      ( X0 != X1
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
% 2.60/2.87      | ~ class_Orderings_Oorder(X2) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_616]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5779,plain,
% 2.60/2.87      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.60/2.87      | X2 != X1 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5778]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_614,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2863_3) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5774,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      inference(copy,[status(esa)],[c_614]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5775,plain,
% 2.60/2.87      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5774]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_612,plain,
% 2.60/2.87      ( X0 != X1
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X2,X1,X0)
% 2.60/2.87      | ~ class_Orderings_Olinorder(X2) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2864_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5770,plain,
% 2.60/2.87      ( X0 != X1
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X2,X1,X0)
% 2.60/2.87      | ~ class_Orderings_Olinorder(X2) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_612]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5771,plain,
% 2.60/2.87      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5770]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_610,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.60/2.87      | X2 != X1 ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2864_3) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5766,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.60/2.87      | X2 != X1 ),
% 2.60/2.87      inference(copy,[status(esa)],[c_610]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5767,plain,
% 2.60/2.87      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.60/2.87      | X2 != X1 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5766]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_582,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | X1 = X2
% 2.60/2.87      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2872_3) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5710,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | X1 = X2
% 2.60/2.87      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_582]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5711,plain,
% 2.60/2.87      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | X1 = X2 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5710]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_562,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2878_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5670,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_562]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5671,plain,
% 2.60/2.87      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5670]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_556,plain,
% 2.60/2.87      ( c_member(X0,X1,X2) | X3 != X1 | ~ c_member(X0,X3,X2) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2880_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5658,plain,
% 2.60/2.87      ( c_member(X0,X1,X2) | X3 != X1 | ~ c_member(X0,X3,X2) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_556]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5659,plain,
% 2.60/2.87      ( c_member(X0,X1,X2) | ~ c_member(X0,X3,X2) | X3 != X1 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5658]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_541,plain,
% 2.60/2.87      ( c_member(X0,X1,X2) | X2 != X3 | ~ c_member(X0,X1,X3) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2885_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5628,plain,
% 2.60/2.87      ( c_member(X0,X1,X2) | X2 != X3 | ~ c_member(X0,X1,X3) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_541]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5629,plain,
% 2.60/2.87      ( c_member(X0,X1,X2) | ~ c_member(X0,X1,X3) | X2 != X3 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5628]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_538,plain,
% 2.60/2.87      ( c_member(X0,X1,X2) | X3 != X2 | ~ c_member(X0,X1,X3) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2886_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5622,plain,
% 2.60/2.87      ( c_member(X0,X1,X2) | X3 != X2 | ~ c_member(X0,X1,X3) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_538]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5623,plain,
% 2.60/2.87      ( c_member(X0,X1,X2) | ~ c_member(X0,X1,X3) | X3 != X2 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5622]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_509,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X1 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X0 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2898_0) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5564,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X1 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X0 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_509]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5565,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.87      | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.87      | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5564]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_507,plain,
% 2.60/2.87      ( X0 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X1 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2898_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5560,plain,
% 2.60/2.87      ( X0 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X1 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_507]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5561,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.87      | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.87      | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5560]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_477,plain,
% 2.60/2.87      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2913_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5500,plain,
% 2.60/2.87      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_477]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5501,plain,
% 2.60/2.87      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 2.60/2.87      | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5500]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_474,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.60/2.87      | X0 != X1 ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2914_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5494,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.60/2.87      | X0 != X1 ),
% 2.60/2.87      inference(copy,[status(esa)],[c_474]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5495,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.60/2.87      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.87      | X0 != X1 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5494]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_461,plain,
% 2.60/2.87      ( sk1_esk44_3(X0,X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
% 2.60/2.87      | c_Finite__Set_Ocard(X2,X1) != hAPP(c_Nat_OSuc,X0)
% 2.60/2.87      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2922_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5468,plain,
% 2.60/2.87      ( sk1_esk44_3(X0,X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
% 2.60/2.87      | c_Finite__Set_Ocard(X2,X1) != hAPP(c_Nat_OSuc,X0)
% 2.60/2.87      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_461]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5469,plain,
% 2.60/2.87      ( c_Finite__Set_Ocard(X0,X1) != hAPP(c_Nat_OSuc,X2)
% 2.60/2.87      | sk1_esk44_3(X2,X1,X0) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))
% 2.60/2.87      | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5468]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_452,plain,
% 2.60/2.87      ( X0 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2926_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5450,plain,
% 2.60/2.87      ( X0 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_452]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5451,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.87      | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5450]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_449,plain,
% 2.60/2.87      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X0 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2927_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5444,plain,
% 2.60/2.87      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X0 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_449]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5445,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.87      | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5444]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_439,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2933_3) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5424,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      inference(copy,[status(esa)],[c_439]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5425,plain,
% 2.60/2.87      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5424]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_433,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 2.60/2.87      | ~ class_Groups_Ocancel__semigroup__add(X0)
% 2.60/2.87      | X1 != X3 ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2935_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5412,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 2.60/2.87      | ~ class_Groups_Ocancel__semigroup__add(X0)
% 2.60/2.87      | X1 != X3 ),
% 2.60/2.87      inference(copy,[status(esa)],[c_433]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5413,plain,
% 2.60/2.87      ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 2.60/2.87      | X1 != X3 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5412]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_430,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 2.60/2.87      | ~ class_Groups_Ocancel__semigroup__add(X0)
% 2.60/2.87      | X2 != X3 ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2936_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5406,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 2.60/2.87      | ~ class_Groups_Ocancel__semigroup__add(X0)
% 2.60/2.87      | X2 != X3 ),
% 2.60/2.87      inference(copy,[status(esa)],[c_430]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5407,plain,
% 2.60/2.87      ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 2.60/2.87      | X2 != X3 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5406]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_429,plain,
% 2.60/2.87      ( ~ class_Rings_Olinordered__idom(X0)
% 2.60/2.87      | X1 = X2
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2938_0) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5404,plain,
% 2.60/2.87      ( ~ class_Rings_Olinordered__idom(X0)
% 2.60/2.87      | X1 = X2
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_429]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5405,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.60/2.87      | ~ class_Rings_Olinordered__idom(X0)
% 2.60/2.87      | X1 = X2 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5404]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_426,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.60/2.87      | X2 = X1
% 2.60/2.87      | ~ class_Rings_Olinordered__idom(X0) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2938_3) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5398,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.60/2.87      | X2 = X1
% 2.60/2.87      | ~ class_Rings_Olinordered__idom(X0) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_426]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5399,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.60/2.87      | ~ class_Rings_Olinordered__idom(X0)
% 2.60/2.87      | X2 = X1 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5398]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_373,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2957_0) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5292,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_373]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5293,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.87      | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5292]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_371,plain,
% 2.60/2.87      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2957_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5288,plain,
% 2.60/2.87      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_371]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5289,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.87      | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5288]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_355,plain,
% 2.60/2.87      ( X0 = X1
% 2.60/2.87      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2966_0) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5256,plain,
% 2.60/2.87      ( X0 = X1
% 2.60/2.87      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_355]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5257,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.60/2.87      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 2.60/2.87      | X0 = X1 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5256]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_343,plain,
% 2.60/2.87      ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.87      | ~ class_Groups_Olinordered__ab__group__add(X1)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(X1,X0,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2973_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5232,plain,
% 2.60/2.87      ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.87      | ~ class_Groups_Olinordered__ab__group__add(X1)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(X1,X0,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_343]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5233,plain,
% 2.60/2.87      ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(X0,X1,X1) != c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.87      | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5232]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_332,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X0 != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2977_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5210,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X0 != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_332]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5211,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.87      | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5210]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_329,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X1 != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2978_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5204,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X1 != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.60/2.87      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_329]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5205,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 2.60/2.87      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5204]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_326,plain,
% 2.60/2.87      ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.87      | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(X1,X2,X0) != X2 ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2979_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5198,plain,
% 2.60/2.87      ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.87      | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(X1,X2,X0) != X2 ),
% 2.60/2.87      inference(copy,[status(esa)],[c_326]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5199,plain,
% 2.60/2.87      ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(X0,X1,X2) != X1
% 2.60/2.87      | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5198]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_301,plain,
% 2.60/2.87      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | X1 != X2
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2988_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5148,plain,
% 2.60/2.87      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | X1 != X2
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_301]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5149,plain,
% 2.60/2.87      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.60/2.87      | X2 != X1 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5148]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_281,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 2.60/2.87      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3002_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5108,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 2.60/2.87      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_281]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5109,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 2.60/2.87      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5108]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_244,plain,
% 2.60/2.87      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.87      | ~ c_Finite__Set_Ofinite(X1,X0)
% 2.60/2.87      | c_Finite__Set_Ocard(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3026_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5034,plain,
% 2.60/2.87      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.60/2.87      | ~ c_Finite__Set_Ofinite(X1,X0)
% 2.60/2.87      | c_Finite__Set_Ocard(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_244]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5035,plain,
% 2.60/2.87      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.87      | c_Finite__Set_Ocard(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5034]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_230,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.87      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.60/2.87      | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3033_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5006,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.87      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.60/2.87      | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_230]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_5007,plain,
% 2.60/2.87      ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 2.60/2.87      | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_5006]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_225,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = X1
% 2.60/2.87      | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 2.60/2.87      | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3035_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4996,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = X1
% 2.60/2.87      | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 2.60/2.87      | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_225]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4997,plain,
% 2.60/2.87      ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(X0,X1,X2) = X1
% 2.60/2.87      | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_4996]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_205,plain,
% 2.60/2.87      ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3048_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4956,plain,
% 2.60/2.87      ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_205]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4957,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_4956]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_195,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3053_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4936,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      inference(copy,[status(esa)],[c_195]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4937,plain,
% 2.60/2.87      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_4936]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_192,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | X2 != X1 ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3054_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4930,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | X2 != X1 ),
% 2.60/2.87      inference(copy,[status(esa)],[c_192]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4931,plain,
% 2.60/2.87      ( ~ class_Orderings_Oorder(X0)
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.60/2.87      | X2 != X1 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_4930]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_171,plain,
% 2.60/2.87      ( X0 = X1
% 2.60/2.87      | ~ class_Orderings_Olinorder(X2)
% 2.60/2.87      | c_SetInterval_Oord__class_OgreaterThan(X2,X0) != c_SetInterval_Oord__class_OgreaterThan(X2,X1) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3070_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4888,plain,
% 2.60/2.87      ( X0 = X1
% 2.60/2.87      | ~ class_Orderings_Olinorder(X2)
% 2.60/2.87      | c_SetInterval_Oord__class_OgreaterThan(X2,X0) != c_SetInterval_Oord__class_OgreaterThan(X2,X1) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_171]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4889,plain,
% 2.60/2.87      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | c_SetInterval_Oord__class_OgreaterThan(X0,X1) != c_SetInterval_Oord__class_OgreaterThan(X0,X2)
% 2.60/2.87      | X1 = X2 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_4888]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_168,plain,
% 2.60/2.87      ( c_Finite__Set_Ocard(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.87      | c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3072_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4882,plain,
% 2.60/2.87      ( c_Finite__Set_Ocard(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.87      | c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_168]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4883,plain,
% 2.60/2.87      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.87      | c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.60/2.87      | c_Finite__Set_Ocard(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_4882]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_164,plain,
% 2.60/2.87      ( ~ class_Finite__Set_Ofinite(X0)
% 2.60/2.87      | class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 2.60/2.87      | ~ class_Finite__Set_Ofinite(X1) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3074_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4874,plain,
% 2.60/2.87      ( ~ class_Finite__Set_Ofinite(X0)
% 2.60/2.87      | class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 2.60/2.87      | ~ class_Finite__Set_Ofinite(X1) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_164]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4875,plain,
% 2.60/2.87      ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 2.60/2.87      | ~ class_Finite__Set_Ofinite(X0)
% 2.60/2.87      | ~ class_Finite__Set_Ofinite(X1) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_4874]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_161,plain,
% 2.60/2.87      ( ~ class_Finite__Set_Ofinite(X0)
% 2.60/2.87      | class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 2.60/2.87      | ~ class_Finite__Set_Ofinite(X1) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3075_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4868,plain,
% 2.60/2.87      ( ~ class_Finite__Set_Ofinite(X0)
% 2.60/2.87      | class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 2.60/2.87      | ~ class_Finite__Set_Ofinite(X1) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_161]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4869,plain,
% 2.60/2.87      ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 2.60/2.87      | ~ class_Finite__Set_Ofinite(X0)
% 2.60/2.87      | ~ class_Finite__Set_Ofinite(X1) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_4868]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_158,plain,
% 2.60/2.87      ( ~ class_Finite__Set_Ofinite(X0)
% 2.60/2.87      | class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 2.60/2.87      | ~ class_Finite__Set_Ofinite(X1) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3076_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4862,plain,
% 2.60/2.87      ( ~ class_Finite__Set_Ofinite(X0)
% 2.60/2.87      | class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 2.60/2.87      | ~ class_Finite__Set_Ofinite(X1) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_158]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4863,plain,
% 2.60/2.87      ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 2.60/2.87      | ~ class_Finite__Set_Ofinite(X0)
% 2.60/2.87      | ~ class_Finite__Set_Ofinite(X1) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_4862]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_150,plain,
% 2.60/2.87      ( c_SetInterval_Oord__class_OgreaterThan(X0,X1) = c_SetInterval_Oord__class_OgreaterThan(X0,X2)
% 2.60/2.87      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3079_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4846,plain,
% 2.60/2.87      ( c_SetInterval_Oord__class_OgreaterThan(X0,X1) = c_SetInterval_Oord__class_OgreaterThan(X0,X2)
% 2.60/2.87      | ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      inference(copy,[status(esa)],[c_150]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4847,plain,
% 2.60/2.87      ( ~ class_Orderings_Olinorder(X0)
% 2.60/2.87      | c_SetInterval_Oord__class_OgreaterThan(X0,X1) = c_SetInterval_Oord__class_OgreaterThan(X0,X2)
% 2.60/2.87      | X1 != X2 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_4846]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_127,plain,
% 2.60/2.87      ( X0 = c_Groups_Oone__class_Oone(X1)
% 2.60/2.87      | ~ class_Groups_Oone(X1)
% 2.60/2.87      | c_Groups_Oone__class_Oone(X1) != X0 ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3098_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4800,plain,
% 2.60/2.87      ( X0 = c_Groups_Oone__class_Oone(X1)
% 2.60/2.87      | ~ class_Groups_Oone(X1)
% 2.60/2.87      | c_Groups_Oone__class_Oone(X1) != X0 ),
% 2.60/2.87      inference(copy,[status(esa)],[c_127]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4801,plain,
% 2.60/2.87      ( ~ class_Groups_Oone(X0)
% 2.60/2.87      | c_Groups_Oone__class_Oone(X0) != X1
% 2.60/2.87      | X1 = c_Groups_Oone__class_Oone(X0) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_4800]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_124,plain,
% 2.60/2.87      ( c_Groups_Oone__class_Oone(X0) = X1
% 2.60/2.87      | ~ class_Groups_Oone(X0)
% 2.60/2.87      | X1 != c_Groups_Oone__class_Oone(X0) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3099_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4794,plain,
% 2.60/2.87      ( c_Groups_Oone__class_Oone(X0) = X1
% 2.60/2.87      | ~ class_Groups_Oone(X0)
% 2.60/2.87      | X1 != c_Groups_Oone__class_Oone(X0) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_124]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4795,plain,
% 2.60/2.87      ( ~ class_Groups_Oone(X0)
% 2.60/2.87      | c_Groups_Oone__class_Oone(X0) = X1
% 2.60/2.87      | X1 != c_Groups_Oone__class_Oone(X0) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_4794]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_121,plain,
% 2.60/2.87      ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.87      | ~ class_Groups_Ozero(X1)
% 2.60/2.87      | c_Groups_Ozero__class_Ozero(X1) != X0 ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3100_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4788,plain,
% 2.60/2.87      ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 2.60/2.87      | ~ class_Groups_Ozero(X1)
% 2.60/2.87      | c_Groups_Ozero__class_Ozero(X1) != X0 ),
% 2.60/2.87      inference(copy,[status(esa)],[c_121]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4789,plain,
% 2.60/2.87      ( ~ class_Groups_Ozero(X0)
% 2.60/2.87      | c_Groups_Ozero__class_Ozero(X0) != X1
% 2.60/2.87      | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_4788]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_118,plain,
% 2.60/2.87      ( c_Groups_Ozero__class_Ozero(X0) = X1
% 2.60/2.87      | ~ class_Groups_Ozero(X0)
% 2.60/2.87      | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3101_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4782,plain,
% 2.60/2.87      ( c_Groups_Ozero__class_Ozero(X0) = X1
% 2.60/2.87      | ~ class_Groups_Ozero(X0)
% 2.60/2.87      | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_118]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_4783,plain,
% 2.60/2.87      ( ~ class_Groups_Ozero(X0)
% 2.60/2.87      | c_Groups_Ozero__class_Ozero(X0) = X1
% 2.60/2.87      | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_4782]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_2045,negated_conjecture,
% 2.60/2.87      ( ~ v_thesis____ ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_9) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_2522,negated_conjecture,
% 2.60/2.87      ( ~ v_thesis____ ),
% 2.60/2.87      inference(copy,[status(esa)],[c_2045]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_2526,negated_conjecture,
% 2.60/2.87      ( ~ v_thesis____ ),
% 2.60/2.87      inference(copy,[status(esa)],[c_2522]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_2529,negated_conjecture,
% 2.60/2.87      ( ~ v_thesis____ ),
% 2.60/2.87      inference(copy,[status(esa)],[c_2526]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_2530,negated_conjecture,
% 2.60/2.87      ( ~ v_thesis____ ),
% 2.60/2.87      inference(copy,[status(esa)],[c_2529]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8634,negated_conjecture,
% 2.60/2.87      ( ~ v_thesis____ ),
% 2.60/2.87      inference(copy,[status(esa)],[c_2530]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_1992,plain,
% 2.60/2.87      ( hAPP(hAPP(X0,X1),X1) = X1
% 2.60/2.87      | ~ c_Finite__Set_Ofolding__image__simple__idem(X2,X3,X0,X4,X5,X6) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2378_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8530,plain,
% 2.60/2.87      ( hAPP(hAPP(X0,X1),X1) = X1
% 2.60/2.87      | ~ c_Finite__Set_Ofolding__image__simple__idem(X2,X3,X0,X4,X5,X6) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_1992]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8531,plain,
% 2.60/2.87      ( ~ c_Finite__Set_Ofolding__image__simple__idem(X0,X1,X2,X3,X4,X5)
% 2.60/2.87      | hAPP(hAPP(X2,X6),X6) = X6 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_8530]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_1990,plain,
% 2.60/2.87      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.87      | ~ c_member(X3,X2,c_SetInterval_Oord_OatLeastLessThan(X3,X0,X4,X1,X5)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2379_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8526,plain,
% 2.60/2.87      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.87      | ~ c_member(X3,X2,c_SetInterval_Oord_OatLeastLessThan(X3,X0,X4,X1,X5)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_1990]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_1988,plain,
% 2.60/2.87      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.87      | ~ c_member(X3,X1,c_SetInterval_Oord_OatLeastLessThan(X3,X4,X0,X5,X2)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2380_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8522,plain,
% 2.60/2.87      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.87      | ~ c_member(X3,X1,c_SetInterval_Oord_OatLeastLessThan(X3,X4,X0,X5,X2)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_1988]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_1986,plain,
% 2.60/2.87      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.87      | ~ c_member(X3,X2,c_SetInterval_Oord_OgreaterThanAtMost(X3,X4,X0,X1,X5)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2381_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8518,plain,
% 2.60/2.87      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.87      | ~ c_member(X3,X2,c_SetInterval_Oord_OgreaterThanAtMost(X3,X4,X0,X1,X5)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_1986]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_1984,plain,
% 2.60/2.87      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.87      | ~ c_member(X3,X1,c_SetInterval_Oord_OgreaterThanAtMost(X3,X0,X4,X5,X2)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2382_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8514,plain,
% 2.60/2.87      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.87      | ~ c_member(X3,X1,c_SetInterval_Oord_OgreaterThanAtMost(X3,X0,X4,X5,X2)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_1984]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_1972,plain,
% 2.60/2.87      ( c_Set_Oimage(X0,X1,X2,sk1_esk19_5(X3,X2,X0,X4,X1)) = X4
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Set_Oimage(X0,X1,X2,X3)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2385_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8490,plain,
% 2.60/2.87      ( c_Set_Oimage(X0,X1,X2,sk1_esk19_5(X3,X2,X0,X4,X1)) = X4
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Set_Oimage(X0,X1,X2,X3)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_1972]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8491,plain,
% 2.60/2.87      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oimage(X2,X0,X3,X4))
% 2.60/2.87      | c_Set_Oimage(X2,X0,X3,sk1_esk19_5(X4,X3,X2,X1,X0)) = X1 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_8490]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_1970,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),sk1_esk19_5(X1,X2,X0,X3,X4),X1)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3,c_Set_Oimage(X0,X4,X2,X1)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2386_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8486,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),sk1_esk19_5(X1,X2,X0,X3,X4),X1)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3,c_Set_Oimage(X0,X4,X2,X1)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_1970]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_1964,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,X3)),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4)))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4)))
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 2.60/2.87      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2388_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8474,plain,
% 2.60/2.87      ( c_Groups_Oplus__class_Oplus(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,X3)),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4)))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4)))
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 2.60/2.87      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_1964]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8475,plain,
% 2.60/2.87      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X2)),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X4)))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X4))) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_8474]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_1958,plain,
% 2.60/2.87      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.87      | c_member(X3,X2,c_SetInterval_Oord_OatLeastLessThan(X3,X0,X4,X1,X5))
% 2.60/2.87      | ~ hBOOL(hAPP(hAPP(X4,X2),X5)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2390_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8462,plain,
% 2.60/2.87      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.87      | c_member(X3,X2,c_SetInterval_Oord_OatLeastLessThan(X3,X0,X4,X1,X5))
% 2.60/2.87      | ~ hBOOL(hAPP(hAPP(X4,X2),X5)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_1958]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8463,plain,
% 2.60/2.87      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.87      | ~ hBOOL(hAPP(hAPP(X3,X2),X4))
% 2.60/2.87      | c_member(X5,X2,c_SetInterval_Oord_OatLeastLessThan(X5,X0,X3,X1,X4)) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_8462]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_1955,plain,
% 2.60/2.87      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.87      | c_member(X3,X2,c_SetInterval_Oord_OgreaterThanAtMost(X3,X4,X0,X1,X5))
% 2.60/2.87      | ~ hBOOL(hAPP(hAPP(X4,X2),X5)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2391_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8456,plain,
% 2.60/2.87      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.87      | c_member(X3,X2,c_SetInterval_Oord_OgreaterThanAtMost(X3,X4,X0,X1,X5))
% 2.60/2.87      | ~ hBOOL(hAPP(hAPP(X4,X2),X5)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_1955]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8457,plain,
% 2.60/2.87      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.87      | ~ hBOOL(hAPP(hAPP(X3,X2),X4))
% 2.60/2.87      | c_member(X5,X2,c_SetInterval_Oord_OgreaterThanAtMost(X5,X3,X0,X1,X4)) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_8456]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_1937,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.87      | ~ c_Fun_Oinj__on(X0,X3,X4,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),c_Set_Oimage(X0,X3,X4,X1),c_Set_Oimage(X0,X3,X4,X2)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2395_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8420,plain,
% 2.60/2.87      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.60/2.87      | ~ c_Fun_Oinj__on(X0,X3,X4,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),c_Set_Oimage(X0,X3,X4,X1),c_Set_Oimage(X0,X3,X4,X2)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_1937]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8421,plain,
% 2.60/2.87      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X2,X3),c_Set_Oimage(X1,X0,X2,X4))
% 2.60/2.87      | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
% 2.60/2.87      | ~ c_Fun_Oinj__on(X1,X0,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_8420]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_1935,plain,
% 2.60/2.87      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Finite__Set_Ocard(X1,c_Set_Oimage(X0,X1,X2,X3)),c_Finite__Set_Ocard(X0,X3)) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2396_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8416,plain,
% 2.60/2.87      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Finite__Set_Ocard(X1,c_Set_Oimage(X0,X1,X2,X3)),c_Finite__Set_Ocard(X0,X3)) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_1935]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8417,plain,
% 2.60/2.87      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Finite__Set_Ocard(X0,c_Set_Oimage(X1,X0,X2,X3)),c_Finite__Set_Ocard(X1,X3))
% 2.60/2.87      | ~ c_Fun_Oinj__on(X1,X0,X2,X3) ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_8416]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_1928,plain,
% 2.60/2.87      ( hAPP(X0,sk1_esk4_4(X1,X0,X2,X3)) = X1
% 2.60/2.87      | ~ c_Fun_Oinj__on(X3,X2,X0,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))
% 2.60/2.87      | ~ c_member(X2,X1,c_Set_Oimage(X3,X2,X0,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2398_2) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8402,plain,
% 2.60/2.87      ( hAPP(X0,sk1_esk4_4(X1,X0,X2,X3)) = X1
% 2.60/2.87      | ~ c_Fun_Oinj__on(X3,X2,X0,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))
% 2.60/2.87      | ~ c_member(X2,X1,c_Set_Oimage(X3,X2,X0,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_1928]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8403,plain,
% 2.60/2.87      ( ~ c_member(X0,X1,c_Set_Oimage(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))
% 2.60/2.87      | ~ c_Fun_Oinj__on(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))
% 2.60/2.87      | hAPP(X3,sk1_esk4_4(X1,X3,X0,X2)) = X1 ),
% 2.60/2.87      inference(rewriting,[status(thm)],[c_8402]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_1923,plain,
% 2.60/2.87      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1,X2)),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,X4))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1,X4))
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4) ),
% 2.60/2.87      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2400_1) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8392,plain,
% 2.60/2.87      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1,X2)),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,X4))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1,X4))
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4) ),
% 2.60/2.87      inference(copy,[status(esa)],[c_1923]) ).
% 2.60/2.87  
% 2.60/2.87  cnf(c_8393,plain,
% 2.60/2.87      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 2.60/2.87      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 2.60/2.87      | c_Groups_Oplus__class_Oplus(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X4,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1,X2)),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X4,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,X3))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X4,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1,X3)) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8392]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1913,plain,
% 2.60/2.88      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,sk1_esk7_4(X2,X0,X3,X1),X3),X2)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.88      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X1,X3),c_Finite__Set_Ocard(X0,X2)) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2402_3) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8372,plain,
% 2.60/2.88      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,sk1_esk7_4(X2,X0,X3,X1),X3),X2)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.60/2.88      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X1,X3),c_Finite__Set_Ocard(X0,X2)) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1913]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8373,plain,
% 2.60/2.88      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.60/2.88      | c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X0,X2,sk1_esk7_4(X3,X2,X1,X0),X1),X3)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X2,X3) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8372]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1908,plain,
% 2.60/2.88      ( c_Set_Oimage(X0,X1,c_Fun_Othe__inv__into(X1,X0,X2,X3),c_Set_Oimage(X1,X0,X3,X2)) = X2
% 2.60/2.88      | ~ c_Fun_Oinj__on(X1,X0,X3,X2) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2404_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8362,plain,
% 2.60/2.88      ( c_Set_Oimage(X0,X1,c_Fun_Othe__inv__into(X1,X0,X2,X3),c_Set_Oimage(X1,X0,X3,X2)) = X2
% 2.60/2.88      | ~ c_Fun_Oinj__on(X1,X0,X3,X2) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1908]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8363,plain,
% 2.60/2.88      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.88      | c_Set_Oimage(X1,X0,c_Fun_Othe__inv__into(X0,X1,X3,X2),c_Set_Oimage(X0,X1,X2,X3)) = X3 ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8362]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1906,plain,
% 2.60/2.88      ( c_Fun_Oinj__on(X0,X1,c_Fun_Othe__inv__into(X1,X0,X2,X3),c_Set_Oimage(X1,X0,X3,X2))
% 2.60/2.88      | ~ c_Fun_Oinj__on(X1,X0,X3,X2) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2405_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8358,plain,
% 2.60/2.88      ( c_Fun_Oinj__on(X0,X1,c_Fun_Othe__inv__into(X1,X0,X2,X3),c_Set_Oimage(X1,X0,X3,X2))
% 2.60/2.88      | ~ c_Fun_Oinj__on(X1,X0,X3,X2) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1906]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1903,plain,
% 2.60/2.88      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X2,X3),c_Set_Oimage(X1,X0,X2,X4))
% 2.60/2.88      | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X3,X4)
% 2.60/2.88      | ~ c_Fun_Oinj__on(X1,X0,X2,X4) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2406_2) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8352,plain,
% 2.60/2.88      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X2,X3),c_Set_Oimage(X1,X0,X2,X4))
% 2.60/2.88      | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X3,X4)
% 2.60/2.88      | ~ c_Fun_Oinj__on(X1,X0,X2,X4) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1903]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1897,plain,
% 2.60/2.88      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(X0,sk1_esk32_4(X1,X2,X0,X3)))
% 2.60/2.88      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,tc_Nat_Onat,X0,X2) != hAPP(c_Nat_OSuc,X1) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2408_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8340,plain,
% 2.60/2.88      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(X0,sk1_esk32_4(X1,X2,X0,X3)))
% 2.60/2.88      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,tc_Nat_Onat,X0,X2) != hAPP(c_Nat_OSuc,X1) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1897]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1889,plain,
% 2.60/2.88      ( c_member(X0,X1,X2)
% 2.60/2.88      | ~ c_Fun_Oinj__on(X0,X3,X4,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.88      | ~ c_member(X3,hAPP(X4,X1),c_Set_Oimage(X0,X3,X4,X2)) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2410_2) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8324,plain,
% 2.60/2.88      ( c_member(X0,X1,X2)
% 2.60/2.88      | ~ c_Fun_Oinj__on(X0,X3,X4,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.88      | ~ c_member(X3,hAPP(X4,X1),c_Set_Oimage(X0,X3,X4,X2)) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1889]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8325,plain,
% 2.60/2.88      ( ~ c_member(X0,hAPP(X1,X2),c_Set_Oimage(X3,X0,X1,X4))
% 2.60/2.88      | c_member(X3,X2,X4)
% 2.60/2.88      | ~ c_Fun_Oinj__on(X3,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8324]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1883,plain,
% 2.60/2.88      ( c_member(X0,sk1_esk18_4(X1,X2,X0,X3),X1)
% 2.60/2.88      | ~ c_member(X4,X3,c_Set_Oimage(X0,X4,X2,X1)) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2412_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8312,plain,
% 2.60/2.88      ( c_member(X0,sk1_esk18_4(X1,X2,X0,X3),X1)
% 2.60/2.88      | ~ c_member(X4,X3,c_Set_Oimage(X0,X4,X2,X1)) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1883]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1881,plain,
% 2.60/2.88      ( hAPP(X0,sk1_esk18_4(X1,X0,X2,X3)) = X3
% 2.60/2.88      | ~ c_member(X4,X3,c_Set_Oimage(X2,X4,X0,X1)) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2413_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8308,plain,
% 2.60/2.88      ( hAPP(X0,sk1_esk18_4(X1,X0,X2,X3)) = X3
% 2.60/2.88      | ~ c_member(X4,X3,c_Set_Oimage(X2,X4,X0,X1)) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1881]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8309,plain,
% 2.60/2.88      ( ~ c_member(X0,X1,c_Set_Oimage(X2,X0,X3,X4))
% 2.60/2.88      | hAPP(X3,sk1_esk18_4(X4,X3,X2,X1)) = X1 ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8308]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1878,plain,
% 2.60/2.88      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Finite__Set_Ocard(X0,c_Groups_Ominus__class_Ominus(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))))) = c_Finite__Set_Ocard(X0,X1)
% 2.60/2.88      | ~ c_member(X0,X2,X1)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2414_2) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8302,plain,
% 2.60/2.88      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Finite__Set_Ocard(X0,c_Groups_Ominus__class_Ominus(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))))) = c_Finite__Set_Ocard(X0,X1)
% 2.60/2.88      | ~ c_member(X0,X2,X1)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1878]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8303,plain,
% 2.60/2.88      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.88      | ~ c_member(X0,X2,X1)
% 2.60/2.88      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Finite__Set_Ocard(X0,c_Groups_Ominus__class_Ominus(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))))) = c_Finite__Set_Ocard(X0,X1) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8302]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1875,plain,
% 2.60/2.88      ( c_Groups_Oplus__class_Oplus(X0,hAPP(X1,X2),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,X2),X3))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,X3))
% 2.60/2.88      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 2.60/2.88      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2415_2) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8296,plain,
% 2.60/2.88      ( c_Groups_Oplus__class_Oplus(X0,hAPP(X1,X2),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,X2),X3))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,X3))
% 2.60/2.88      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
% 2.60/2.88      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1875]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8297,plain,
% 2.60/2.88      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.88      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 2.60/2.88      | c_Groups_Oplus__class_Oplus(X0,hAPP(X3,X1),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X2)) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8296]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1872,plain,
% 2.60/2.88      ( c_Groups_Oplus__class_Oplus(X0,hAPP(X1,X2),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,X2),X3))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,X3))
% 2.60/2.88      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 2.60/2.88      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2416_2) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8290,plain,
% 2.60/2.88      ( c_Groups_Oplus__class_Oplus(X0,hAPP(X1,X2),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,X2),X3))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,X3))
% 2.60/2.88      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 2.60/2.88      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1872]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8291,plain,
% 2.60/2.88      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.88      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 2.60/2.88      | c_Groups_Oplus__class_Oplus(X0,hAPP(X3,X1),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1,X2)) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8290]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1869,plain,
% 2.60/2.88      ( c_Groups_Oplus__class_Oplus(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,X3)),hAPP(X1,hAPP(c_Nat_OSuc,X3))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,hAPP(c_Nat_OSuc,X3)))
% 2.60/2.88      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X3),X2)
% 2.60/2.88      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2417_2) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8284,plain,
% 2.60/2.88      ( c_Groups_Oplus__class_Oplus(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,X3)),hAPP(X1,hAPP(c_Nat_OSuc,X3))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,hAPP(c_Nat_OSuc,X3)))
% 2.60/2.88      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X3),X2)
% 2.60/2.88      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1869]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8285,plain,
% 2.60/2.88      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.88      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2)
% 2.60/2.88      | c_Groups_Oplus__class_Oplus(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,X1)),hAPP(X3,hAPP(c_Nat_OSuc,X1))) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,hAPP(c_Nat_OSuc,X1))) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8284]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1867,plain,
% 2.60/2.88      ( c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.88      | hAPP(X2,sk1_esk3_4(X3,X2,X1,X0)) = hAPP(X2,sk1_esk2_4(X3,X2,X1,X0)) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2418_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8280,plain,
% 2.60/2.88      ( c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.88      | hAPP(X2,sk1_esk3_4(X3,X2,X1,X0)) = hAPP(X2,sk1_esk2_4(X3,X2,X1,X0)) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1867]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1861,plain,
% 2.60/2.88      ( c_Groups_Oplus__class_Oplus(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,X3)),hAPP(X1,X3)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,hAPP(c_Nat_OSuc,X3)))
% 2.60/2.88      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
% 2.60/2.88      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2420_2) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8268,plain,
% 2.60/2.88      ( c_Groups_Oplus__class_Oplus(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,X3)),hAPP(X1,X3)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,hAPP(c_Nat_OSuc,X3)))
% 2.60/2.88      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
% 2.60/2.88      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1861]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8269,plain,
% 2.60/2.88      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.88      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 2.60/2.88      | c_Groups_Oplus__class_Oplus(X0,c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,X1)),hAPP(X3,X1)) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X0,X3,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2,hAPP(c_Nat_OSuc,X1))) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8268]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1853,plain,
% 2.60/2.88      ( c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.88      | ~ c_Fun_Oinj__on(X0,X2,X3,X1)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X2,c_Set_Oimage(X0,X2,X3,X1)) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2422_2) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8252,plain,
% 2.60/2.88      ( c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.88      | ~ c_Fun_Oinj__on(X0,X2,X3,X1)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X2,c_Set_Oimage(X0,X2,X3,X1)) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1853]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8253,plain,
% 2.60/2.88      ( ~ c_Finite__Set_Ofinite(X0,c_Set_Oimage(X1,X0,X2,X3))
% 2.60/2.88      | c_Finite__Set_Ofinite(X1,X3)
% 2.60/2.88      | ~ c_Fun_Oinj__on(X1,X0,X2,X3) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8252]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1851,plain,
% 2.60/2.88      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X2,X3),c_Set_Oimage(X1,X0,X2,X4))
% 2.60/2.88      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2423_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8248,plain,
% 2.60/2.88      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oimage(X1,X0,X2,X3),c_Set_Oimage(X1,X0,X2,X4))
% 2.60/2.88      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1851]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1835,plain,
% 2.60/2.88      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,c_Set_Oimage(X1,X0,X2,X3)),c_Finite__Set_Ocard(X1,X3))
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X1,X3) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2428_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8216,plain,
% 2.60/2.88      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,c_Set_Oimage(X1,X0,X2,X3)),c_Finite__Set_Ocard(X1,X3))
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X1,X3) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1835]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1833,plain,
% 2.60/2.88      ( hAPP(c_Fun_Othe__inv__into(X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X2),hAPP(X2,X3)) = X3
% 2.60/2.88      | ~ c_Fun_Oinj__on(X0,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2429_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8212,plain,
% 2.60/2.88      ( hAPP(c_Fun_Othe__inv__into(X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X2),hAPP(X2,X3)) = X3
% 2.60/2.88      | ~ c_Fun_Oinj__on(X0,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1833]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8213,plain,
% 2.60/2.88      ( ~ c_Fun_Oinj__on(X0,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.88      | hAPP(c_Fun_Othe__inv__into(X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X2),hAPP(X2,X3)) = X3 ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8212]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1827,plain,
% 2.60/2.88      ( c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.88      | c_Finite__Set_Ocard(X1,c_Set_Oimage(X0,X1,X2,X3)) != c_Finite__Set_Ocard(X0,X3)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,X3) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2431_2) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8200,plain,
% 2.60/2.88      ( c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.88      | c_Finite__Set_Ocard(X1,c_Set_Oimage(X0,X1,X2,X3)) != c_Finite__Set_Ocard(X0,X3)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,X3) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1827]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8201,plain,
% 2.60/2.88      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.88      | c_Fun_Oinj__on(X0,X2,X3,X1)
% 2.60/2.88      | c_Finite__Set_Ocard(X2,c_Set_Oimage(X0,X2,X3,X1)) != c_Finite__Set_Ocard(X0,X1) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8200]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1822,plain,
% 2.60/2.88      ( c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.88      | sk1_esk3_4(X3,X2,X1,X0) != sk1_esk2_4(X3,X2,X1,X0) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2433_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8190,plain,
% 2.60/2.88      ( c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.88      | sk1_esk3_4(X3,X2,X1,X0) != sk1_esk2_4(X3,X2,X1,X0) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1822]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1814,plain,
% 2.60/2.88      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,c_Set_Oinsert(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X1,hAPP(X2,X3),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,X4))
% 2.60/2.88      | c_member(X0,X3,X4)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,X4)
% 2.60/2.88      | ~ class_Groups_Ocomm__monoid__add(X1) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2435_3) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8174,plain,
% 2.60/2.88      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,c_Set_Oinsert(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X1,hAPP(X2,X3),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,X4))
% 2.60/2.88      | c_member(X0,X3,X4)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,X4)
% 2.60/2.88      | ~ class_Groups_Ocomm__monoid__add(X1) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1814]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8175,plain,
% 2.60/2.88      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X1,X2)
% 2.60/2.88      | c_member(X1,X3,X2)
% 2.60/2.88      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X4,c_Set_Oinsert(X1,X3,X2)) = c_Groups_Oplus__class_Oplus(X0,hAPP(X4,X3),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X4,X2)) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8174]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1797,plain,
% 2.60/2.88      ( c_member(X0,sk1_esk32_4(X1,X2,X3,X0),X2)
% 2.60/2.88      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X3,X2) != hAPP(c_Nat_OSuc,X1) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2440_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8140,plain,
% 2.60/2.88      ( c_member(X0,sk1_esk32_4(X1,X2,X3,X0),X2)
% 2.60/2.88      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X3,X2) != hAPP(c_Nat_OSuc,X1) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1797]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1795,plain,
% 2.60/2.88      ( c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Finite__Set_Ocard(tc_Nat_Onat,X1))) = X1
% 2.60/2.88      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool),X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Finite__Set_Ocard(tc_Nat_Onat,X1)))) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2441_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8136,plain,
% 2.60/2.88      ( c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Finite__Set_Ocard(tc_Nat_Onat,X1))) = X1
% 2.60/2.88      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool),X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Finite__Set_Ocard(tc_Nat_Onat,X1)))) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1795]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8137,plain,
% 2.60/2.88      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool),X0,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Finite__Set_Ocard(tc_Nat_Onat,X0))))
% 2.60/2.88      | c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Finite__Set_Ocard(tc_Nat_Onat,X0))) = X0 ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8136]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1793,plain,
% 2.60/2.88      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.88      | c_Fun_Oinj__on(X0,X2,sk1_esk7_4(X3,X2,X1,X0),X1)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2442_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8132,plain,
% 2.60/2.88      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.88      | c_Fun_Oinj__on(X0,X2,sk1_esk7_4(X3,X2,X1,X0),X1)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1793]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8133,plain,
% 2.60/2.88      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.88      | c_Fun_Oinj__on(X0,X2,sk1_esk7_4(X3,X2,X1,X0),X1) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8132]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1789,plain,
% 2.60/2.88      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.88      | ~ c_member(X3,X2,c_SetInterval_Oord_OgreaterThanLessThan(X3,X0,X1,X4)) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2443_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8124,plain,
% 2.60/2.88      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.88      | ~ c_member(X3,X2,c_SetInterval_Oord_OgreaterThanLessThan(X3,X0,X1,X4)) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1789]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1787,plain,
% 2.60/2.88      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.88      | ~ c_member(X3,X1,c_SetInterval_Oord_OgreaterThanLessThan(X3,X0,X4,X2)) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2444_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8120,plain,
% 2.60/2.88      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.88      | ~ c_member(X3,X1,c_SetInterval_Oord_OgreaterThanLessThan(X3,X0,X4,X2)) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1787]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1785,plain,
% 2.60/2.88      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.88      | ~ c_member(X3,X2,c_SetInterval_Oord_OatLeastAtMost(X3,X0,X1,X4)) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2445_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8116,plain,
% 2.60/2.88      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.88      | ~ c_member(X3,X2,c_SetInterval_Oord_OatLeastAtMost(X3,X0,X1,X4)) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1785]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1783,plain,
% 2.60/2.88      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.88      | ~ c_member(X3,X1,c_SetInterval_Oord_OatLeastAtMost(X3,X0,X4,X2)) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2446_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8112,plain,
% 2.60/2.88      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.60/2.88      | ~ c_member(X3,X1,c_SetInterval_Oord_OatLeastAtMost(X3,X0,X4,X2)) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1783]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1769,plain,
% 2.60/2.88      ( c_Fun_Oinj__on(X0,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.88      | c_Set_Oimage(X0,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2451_2) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8084,plain,
% 2.60/2.88      ( c_Fun_Oinj__on(X0,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.88      | c_Set_Oimage(X0,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1769]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8085,plain,
% 2.60/2.88      ( ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.88      | c_Fun_Oinj__on(X0,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.88      | c_Set_Oimage(X0,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8084]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1767,plain,
% 2.60/2.88      ( c_Finite__Set_Ocard(X0,c_Set_Oimage(X1,X0,X2,X3)) = c_Finite__Set_Ocard(X1,X3)
% 2.60/2.88      | ~ c_Fun_Oinj__on(X1,X0,X2,X3) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2452_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8080,plain,
% 2.60/2.88      ( c_Finite__Set_Ocard(X0,c_Set_Oimage(X1,X0,X2,X3)) = c_Finite__Set_Ocard(X1,X3)
% 2.60/2.88      | ~ c_Fun_Oinj__on(X1,X0,X2,X3) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1767]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8081,plain,
% 2.60/2.88      ( ~ c_Fun_Oinj__on(X0,X1,X2,X3)
% 2.60/2.88      | c_Finite__Set_Ocard(X1,c_Set_Oimage(X0,X1,X2,X3)) = c_Finite__Set_Ocard(X0,X3) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8080]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1765,plain,
% 2.60/2.88      ( c_Set_Oinsert(X0,hAPP(X1,X2),c_Set_Oimage(X3,X0,X1,X4)) = c_Set_Oimage(X3,X0,X1,X4)
% 2.60/2.88      | ~ c_member(X3,X2,X4) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2453_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8076,plain,
% 2.60/2.88      ( c_Set_Oinsert(X0,hAPP(X1,X2),c_Set_Oimage(X3,X0,X1,X4)) = c_Set_Oimage(X3,X0,X1,X4)
% 2.60/2.88      | ~ c_member(X3,X2,X4) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1765]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8077,plain,
% 2.60/2.88      ( ~ c_member(X0,X1,X2)
% 2.60/2.88      | c_Set_Oinsert(X3,hAPP(X4,X1),c_Set_Oimage(X0,X3,X4,X2)) = c_Set_Oimage(X0,X3,X4,X2) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8076]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1762,plain,
% 2.60/2.88      ( c_Set_Oimage(X0,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))
% 2.60/2.88      | ~ c_Fun_Oinj__on(X0,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2454_2) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8070,plain,
% 2.60/2.88      ( c_Set_Oimage(X0,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))
% 2.60/2.88      | ~ c_Fun_Oinj__on(X0,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1762]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8071,plain,
% 2.60/2.88      ( ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.88      | ~ c_Fun_Oinj__on(X0,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.60/2.88      | c_Set_Oimage(X0,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8070]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1758,plain,
% 2.60/2.88      ( c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(tc_sum(X0,X2),c_Sum__Type_OPlus(X0,X2,X1,X3)) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2456_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8062,plain,
% 2.60/2.88      ( c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(tc_sum(X0,X2),c_Sum__Type_OPlus(X0,X2,X1,X3)) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1758]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8063,plain,
% 2.60/2.88      ( ~ c_Finite__Set_Ofinite(tc_sum(X0,X1),c_Sum__Type_OPlus(X0,X1,X2,X3))
% 2.60/2.88      | c_Finite__Set_Ofinite(X0,X2) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8062]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1754,plain,
% 2.60/2.88      ( c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(tc_sum(X2,X0),c_Sum__Type_OPlus(X2,X0,X3,X1)) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2458_1) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8054,plain,
% 2.60/2.88      ( c_Finite__Set_Ofinite(X0,X1)
% 2.60/2.88      | ~ c_Finite__Set_Ofinite(tc_sum(X2,X0),c_Sum__Type_OPlus(X2,X0,X3,X1)) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1754]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8055,plain,
% 2.60/2.88      ( ~ c_Finite__Set_Ofinite(tc_sum(X0,X1),c_Sum__Type_OPlus(X0,X1,X2,X3))
% 2.60/2.88      | c_Finite__Set_Ofinite(X1,X3) ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8054]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1753,plain,
% 2.60/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) != c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.60/2.88      | X1 = X4
% 2.60/2.88      | X1 = X3 ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2459_0) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8052,plain,
% 2.60/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) != c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.60/2.88      | X1 = X4
% 2.60/2.88      | X1 = X3 ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1753]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1751,plain,
% 2.60/2.88      ( X0 = X1
% 2.60/2.88      | X0 = X2
% 2.60/2.88      | c_Set_Oinsert(X3,X0,c_Set_Oinsert(X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) != c_Set_Oinsert(X3,X1,c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) ),
% 2.60/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2459_2) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8048,plain,
% 2.60/2.88      ( X0 = X1
% 2.60/2.88      | X0 = X2
% 2.60/2.88      | c_Set_Oinsert(X3,X0,c_Set_Oinsert(X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) != c_Set_Oinsert(X3,X1,c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) ),
% 2.60/2.88      inference(copy,[status(esa)],[c_1751]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_8049,plain,
% 2.60/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) != c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.60/2.88      | X1 = X3
% 2.60/2.88      | X1 = X4 ),
% 2.60/2.88      inference(rewriting,[status(thm)],[c_8048]) ).
% 2.60/2.88  
% 2.60/2.88  cnf(c_1750,plain,
% 2.60/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) != c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.88      | X2 = X3
% 2.66/2.88      | X1 = X3 ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2460_0) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_8046,plain,
% 2.66/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) != c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.88      | X2 = X3
% 2.66/2.88      | X1 = X3 ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1750]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1748,plain,
% 2.66/2.88      ( X0 = X1
% 2.66/2.88      | X2 = X1
% 2.66/2.88      | c_Set_Oinsert(X3,X0,c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) != c_Set_Oinsert(X3,X1,c_Set_Oinsert(X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2460_2) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_8042,plain,
% 2.66/2.88      ( X0 = X1
% 2.66/2.88      | X2 = X1
% 2.66/2.88      | c_Set_Oinsert(X3,X0,c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) != c_Set_Oinsert(X3,X1,c_Set_Oinsert(X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1748]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_8043,plain,
% 2.66/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) != c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.88      | X1 = X3
% 2.66/2.88      | X2 = X3 ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_8042]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1747,plain,
% 2.66/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) != c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.88      | X1 = X4
% 2.66/2.88      | X2 = X4 ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2461_0) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_8040,plain,
% 2.66/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) != c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.88      | X1 = X4
% 2.66/2.88      | X2 = X4 ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1747]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1745,plain,
% 2.66/2.88      ( X0 = X1
% 2.66/2.88      | X2 = X1
% 2.66/2.88      | c_Set_Oinsert(X3,X2,c_Set_Oinsert(X3,X0,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) != c_Set_Oinsert(X3,X4,c_Set_Oinsert(X3,X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2461_2) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_8036,plain,
% 2.66/2.88      ( X0 = X1
% 2.66/2.88      | X2 = X1
% 2.66/2.88      | c_Set_Oinsert(X3,X2,c_Set_Oinsert(X3,X0,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) != c_Set_Oinsert(X3,X4,c_Set_Oinsert(X3,X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1745]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_8037,plain,
% 2.66/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) != c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.88      | X2 = X4
% 2.66/2.88      | X1 = X4 ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_8036]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1744,plain,
% 2.66/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) != c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.88      | X2 = X3
% 2.66/2.88      | X2 = X4 ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2462_0) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_8034,plain,
% 2.66/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) != c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.88      | X2 = X3
% 2.66/2.88      | X2 = X4 ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1744]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1742,plain,
% 2.66/2.88      ( X0 = X1
% 2.66/2.88      | X0 = X2
% 2.66/2.88      | c_Set_Oinsert(X3,X4,c_Set_Oinsert(X3,X0,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) != c_Set_Oinsert(X3,X2,c_Set_Oinsert(X3,X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2462_2) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_8030,plain,
% 2.66/2.88      ( X0 = X1
% 2.66/2.88      | X0 = X2
% 2.66/2.88      | c_Set_Oinsert(X3,X4,c_Set_Oinsert(X3,X0,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) != c_Set_Oinsert(X3,X2,c_Set_Oinsert(X3,X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1742]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_8031,plain,
% 2.66/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) != c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.88      | X2 = X4
% 2.66/2.88      | X2 = X3 ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_8030]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1735,plain,
% 2.66/2.88      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.88      | c_member(X3,X2,c_SetInterval_Oord_OgreaterThanLessThan(X3,X0,X1,X4))
% 2.66/2.88      | ~ hBOOL(hAPP(hAPP(X0,X2),X4)) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2464_1) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_8016,plain,
% 2.66/2.88      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.88      | c_member(X3,X2,c_SetInterval_Oord_OgreaterThanLessThan(X3,X0,X1,X4))
% 2.66/2.88      | ~ hBOOL(hAPP(hAPP(X0,X2),X4)) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1735]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_8017,plain,
% 2.66/2.88      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.88      | ~ hBOOL(hAPP(hAPP(X0,X2),X3))
% 2.66/2.88      | c_member(X4,X2,c_SetInterval_Oord_OgreaterThanLessThan(X4,X0,X1,X3)) ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_8016]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1732,plain,
% 2.66/2.88      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.88      | c_member(X3,X2,c_SetInterval_Oord_OatLeastAtMost(X3,X0,X1,X4))
% 2.66/2.88      | ~ hBOOL(hAPP(hAPP(X0,X2),X4)) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2465_1) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_8010,plain,
% 2.66/2.88      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.88      | c_member(X3,X2,c_SetInterval_Oord_OatLeastAtMost(X3,X0,X1,X4))
% 2.66/2.88      | ~ hBOOL(hAPP(hAPP(X0,X2),X4)) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1732]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_8011,plain,
% 2.66/2.88      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.88      | ~ hBOOL(hAPP(hAPP(X0,X2),X3))
% 2.66/2.88      | c_member(X4,X2,c_SetInterval_Oord_OatLeastAtMost(X4,X0,X1,X3)) ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_8010]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1722,plain,
% 2.66/2.88      ( c_Fun_Oinj__on(X0,X1,X2,X3) | c_member(X0,sk1_esk2_4(X3,X2,X1,X0),X3) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2468_1) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7990,plain,
% 2.66/2.88      ( c_Fun_Oinj__on(X0,X1,X2,X3) | c_member(X0,sk1_esk2_4(X3,X2,X1,X0),X3) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1722]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7991,plain,
% 2.66/2.88      ( c_member(X0,sk1_esk2_4(X1,X2,X3,X0),X1) | c_Fun_Oinj__on(X0,X3,X2,X1) ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_7990]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1720,plain,
% 2.66/2.88      ( c_Fun_Oinj__on(X0,X1,X2,X3) | c_member(X0,sk1_esk3_4(X3,X2,X1,X0),X3) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2469_1) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7986,plain,
% 2.66/2.88      ( c_Fun_Oinj__on(X0,X1,X2,X3) | c_member(X0,sk1_esk3_4(X3,X2,X1,X0),X3) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1720]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7987,plain,
% 2.66/2.88      ( c_member(X0,sk1_esk3_4(X1,X2,X3,X0),X1) | c_Fun_Oinj__on(X0,X3,X2,X1) ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_7986]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1705,plain,
% 2.66/2.88      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.88      | c_Finite__Set_Ocard(tc_sum(X0,X2),c_Sum__Type_OPlus(X0,X2,X1,X3)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.66/2.88      | ~ c_Finite__Set_Ofinite(X2,X3) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2474_1) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7956,plain,
% 2.66/2.88      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.88      | c_Finite__Set_Ocard(tc_sum(X0,X2),c_Sum__Type_OPlus(X0,X2,X1,X3)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3))
% 2.66/2.88      | ~ c_Finite__Set_Ofinite(X2,X3) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1705]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7957,plain,
% 2.66/2.88      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.88      | ~ c_Finite__Set_Ofinite(X2,X3)
% 2.66/2.88      | c_Finite__Set_Ocard(tc_sum(X0,X2),c_Sum__Type_OPlus(X0,X2,X1,X3)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X2,X3)) ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_7956]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1702,plain,
% 2.66/2.88      ( c_member(X0,X1,c_Set_Oimage(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))
% 2.66/2.88      | X1 != hAPP(X3,X4) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2476_1) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7950,plain,
% 2.66/2.88      ( c_member(X0,X1,c_Set_Oimage(X2,X0,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))
% 2.66/2.88      | X1 != hAPP(X3,X4) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1702]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1695,plain,
% 2.66/2.88      ( c_member(X0,hAPP(X1,X2),c_Set_Oimage(X3,X0,X1,X4))
% 2.66/2.88      | ~ c_member(X3,X2,X4) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2478_1) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7936,plain,
% 2.66/2.88      ( c_member(X0,hAPP(X1,X2),c_Set_Oimage(X3,X0,X1,X4))
% 2.66/2.88      | ~ c_member(X3,X2,X4) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1695]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1686,plain,
% 2.66/2.88      ( c_member(X0,X1,c_Set_Oimage(X2,X0,X3,X4))
% 2.66/2.88      | ~ c_member(X2,X5,X4)
% 2.66/2.88      | X1 != hAPP(X3,X5) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2481_2) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7918,plain,
% 2.66/2.88      ( c_member(X0,X1,c_Set_Oimage(X2,X0,X3,X4))
% 2.66/2.88      | ~ c_member(X2,X5,X4)
% 2.66/2.88      | X1 != hAPP(X3,X5) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1686]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1618,plain,
% 2.66/2.88      ( X0 = c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))
% 2.66/2.88      | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.88      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X0,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2496_2) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7782,plain,
% 2.66/2.88      ( X0 = c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))
% 2.66/2.88      | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.88      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X0,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1618]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7783,plain,
% 2.66/2.88      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.88      | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))
% 2.66/2.88      | X1 = c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_7782]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1612,plain,
% 2.66/2.88      ( c_Finite__Set_Ofinite(tc_sum(X0,X1),c_Sum__Type_OPlus(X0,X1,X2,X3))
% 2.66/2.88      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.66/2.88      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2498_2) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7770,plain,
% 2.66/2.88      ( c_Finite__Set_Ofinite(tc_sum(X0,X1),c_Sum__Type_OPlus(X0,X1,X2,X3))
% 2.66/2.88      | ~ c_Finite__Set_Ofinite(X1,X3)
% 2.66/2.88      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1612]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1591,plain,
% 2.66/2.88      ( c_Finite__Set_Ocard(tc_sum(X0,X1),c_Sum__Type_OPlus(X0,X1,X2,X3)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.88      | c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2504_1) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7728,plain,
% 2.66/2.88      ( c_Finite__Set_Ocard(tc_sum(X0,X1),c_Sum__Type_OPlus(X0,X1,X2,X3)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.88      | c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1591]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7729,plain,
% 2.66/2.88      ( c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.88      | c_Finite__Set_Ocard(tc_sum(X0,X2),c_Sum__Type_OPlus(X0,X2,X1,X3)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_7728]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1589,plain,
% 2.66/2.88      ( c_Finite__Set_Ocard(tc_sum(X0,X1),c_Sum__Type_OPlus(X0,X1,X2,X3)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.88      | c_Finite__Set_Ofinite(X1,X3) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2505_1) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7724,plain,
% 2.66/2.88      ( c_Finite__Set_Ocard(tc_sum(X0,X1),c_Sum__Type_OPlus(X0,X1,X2,X3)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.88      | c_Finite__Set_Ofinite(X1,X3) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1589]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7725,plain,
% 2.66/2.88      ( c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.88      | c_Finite__Set_Ocard(tc_sum(X2,X0),c_Sum__Type_OPlus(X2,X0,X3,X1)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_7724]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1587,plain,
% 2.66/2.88      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 2.66/2.88      | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2506_1) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7720,plain,
% 2.66/2.88      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 2.66/2.88      | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1587]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7721,plain,
% 2.66/2.88      ( ~ class_Rings_Ocomm__semiring__1(X0)
% 2.66/2.88      | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4)) ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_7720]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1585,plain,
% 2.66/2.88      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.88      | c_Sum__Type_OPlus(X1,X2,X0,X3) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X1,X2),tc_HOL_Obool)) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2507_1) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7716,plain,
% 2.66/2.88      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.88      | c_Sum__Type_OPlus(X1,X2,X0,X3) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X1,X2),tc_HOL_Obool)) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1585]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7717,plain,
% 2.66/2.88      ( c_Sum__Type_OPlus(X0,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X0,X1),tc_HOL_Obool))
% 2.66/2.88      | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_7716]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1583,plain,
% 2.66/2.88      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.88      | c_Sum__Type_OPlus(X2,X1,X3,X0) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X2,X1),tc_HOL_Obool)) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2508_1) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7712,plain,
% 2.66/2.88      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.88      | c_Sum__Type_OPlus(X2,X1,X3,X0) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X2,X1),tc_HOL_Obool)) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1583]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7713,plain,
% 2.66/2.88      ( c_Sum__Type_OPlus(X0,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X0,X1),tc_HOL_Obool))
% 2.66/2.88      | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_7712]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1580,plain,
% 2.66/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) = c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.88      | X2 != X4
% 2.66/2.88      | X1 != X3 ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2509_2) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7706,plain,
% 2.66/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) = c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.88      | X2 != X4
% 2.66/2.88      | X1 != X3 ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1580]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1577,plain,
% 2.66/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) = c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.88      | X2 != X3
% 2.66/2.88      | X1 != X4 ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2510_2) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7700,plain,
% 2.66/2.88      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))) = c_Set_Oinsert(X0,X3,c_Set_Oinsert(X0,X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.88      | X2 != X3
% 2.66/2.88      | X1 != X4 ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1577]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1572,plain,
% 2.66/2.88      ( c_Finite__Set_Ofinite(X0,c_Set_Oimage(X1,X0,X2,X3))
% 2.66/2.88      | ~ c_Finite__Set_Ofinite(X1,X3) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2512_1) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7690,plain,
% 2.66/2.88      ( c_Finite__Set_Ofinite(X0,c_Set_Oimage(X1,X0,X2,X3))
% 2.66/2.88      | ~ c_Finite__Set_Ofinite(X1,X3) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1572]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1560,plain,
% 2.66/2.88      ( X0 = X1
% 2.66/2.88      | ~ c_Fun_Oinj__on(X2,X3,X4,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))
% 2.66/2.88      | hAPP(X4,X0) != hAPP(X4,X1) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2516_2) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7666,plain,
% 2.66/2.88      ( X0 = X1
% 2.66/2.88      | ~ c_Fun_Oinj__on(X2,X3,X4,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))
% 2.66/2.88      | hAPP(X4,X0) != hAPP(X4,X1) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1560]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7667,plain,
% 2.66/2.88      ( ~ c_Fun_Oinj__on(X0,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.88      | hAPP(X2,X3) != hAPP(X2,X4)
% 2.66/2.88      | X3 = X4 ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_7666]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1541,plain,
% 2.66/2.88      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.88      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.88      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2522_2) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7628,plain,
% 2.66/2.88      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.88      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.88      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1541]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7629,plain,
% 2.66/2.88      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.66/2.88      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.66/2.88      | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_7628]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1538,plain,
% 2.66/2.88      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.88      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.66/2.88      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2523_2) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7622,plain,
% 2.66/2.88      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.88      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.66/2.88      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1538]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7623,plain,
% 2.66/2.88      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.66/2.88      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.66/2.88      | c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_7622]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1529,plain,
% 2.66/2.88      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.88      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.88      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2526_2) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7604,plain,
% 2.66/2.88      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.88      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.88      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1529]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7605,plain,
% 2.66/2.88      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.66/2.88      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.66/2.88      | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 2.66/2.88      inference(rewriting,[status(thm)],[c_7604]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_1526,plain,
% 2.66/2.88      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.88      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.66/2.88      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 2.66/2.88      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2527_2) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7598,plain,
% 2.66/2.88      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.88      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.66/2.88      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 2.66/2.88      inference(copy,[status(esa)],[c_1526]) ).
% 2.66/2.88  
% 2.66/2.88  cnf(c_7599,plain,
% 2.66/2.88      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 2.66/2.88      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.66/2.88      | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7598]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1513,plain,
% 2.66/2.89      ( c_Finite__Set_Ocard(X0,X1) != hAPP(c_Nat_OSuc,X2)
% 2.66/2.89      | ~ c_member(X0,sk1_esk43_3(X2,X1,X0),sk1_esk44_3(X2,X1,X0)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2531_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7572,plain,
% 2.66/2.89      ( c_Finite__Set_Ocard(X0,X1) != hAPP(c_Nat_OSuc,X2)
% 2.66/2.89      | ~ c_member(X0,sk1_esk43_3(X2,X1,X0),sk1_esk44_3(X2,X1,X0)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1513]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7573,plain,
% 2.66/2.89      ( ~ c_member(X0,sk1_esk43_3(X1,X2,X0),sk1_esk44_3(X1,X2,X0))
% 2.66/2.89      | c_Finite__Set_Ocard(X0,X2) != hAPP(c_Nat_OSuc,X1) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7572]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1511,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2532_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7568,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1511]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7569,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7568]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1509,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2533_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7564,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1509]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7565,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7564]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1505,plain,
% 2.66/2.89      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.89      | c_Set_Oimage(X1,X2,X3,X0) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2535_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7556,plain,
% 2.66/2.89      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.89      | c_Set_Oimage(X1,X2,X3,X0) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1505]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7557,plain,
% 2.66/2.89      ( c_Set_Oimage(X0,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.89      | X3 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7556]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1498,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.89      | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2537_3) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7542,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.89      | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1498]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7543,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7542]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1490,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.89      | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2539_3) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7526,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.89      | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1490]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7527,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X4)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7526]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1486,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.89      | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2540_3) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7518,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.89      | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1486]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7519,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7518]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1479,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 2.66/2.89      | hBOOL(hAPP(X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sk1_esk41_2(X1,X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 2.66/2.89      | ~ hBOOL(hAPP(X0,X1)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2544_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7504,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 2.66/2.89      | hBOOL(hAPP(X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sk1_esk41_2(X1,X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 2.66/2.89      | ~ hBOOL(hAPP(X0,X1)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1479]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1476,plain,
% 2.66/2.89      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.89      | c_member(X0,sk1_esk28_3(X1,X2,X0),X2)
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2545_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7498,plain,
% 2.66/2.89      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.89      | c_member(X0,sk1_esk28_3(X1,X2,X0),X2)
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1476]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7499,plain,
% 2.66/2.89      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.89      | c_member(X0,sk1_esk28_3(X2,X1,X0),X1)
% 2.66/2.89      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,tc_Nat_Onat,X2,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7498]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1473,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2547_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7492,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1473]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1470,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2548_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7486,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1470]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1467,plain,
% 2.66/2.89      ( c_member(X0,X1,X2)
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,c_Set_Oinsert(X0,X1,X3)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2549_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7480,plain,
% 2.66/2.89      ( c_member(X0,X1,X2)
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,c_Set_Oinsert(X0,X1,X3)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1467]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7481,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oinsert(X0,X2,X3))
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X3)
% 2.66/2.89      | c_member(X0,X2,X1) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7480]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1463,plain,
% 2.66/2.89      ( X0 = X1
% 2.66/2.89      | ~ c_member(X2,X0,c_Set_Oinsert(X2,X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2551_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7472,plain,
% 2.66/2.89      ( X0 = X1
% 2.66/2.89      | ~ c_member(X2,X0,c_Set_Oinsert(X2,X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1463]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7473,plain,
% 2.66/2.89      ( ~ c_member(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.89      | X1 = X2 ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7472]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1460,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,X1))
% 2.66/2.89      | ~ c_member(tc_Nat_Onat,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))
% 2.66/2.89      | ~ hBOOL(hAPP(X0,sk1_esk37_2(X0,X2))) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2552_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7466,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,X1))
% 2.66/2.89      | ~ c_member(tc_Nat_Onat,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))
% 2.66/2.89      | ~ hBOOL(hAPP(X0,sk1_esk37_2(X0,X2))) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1460]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7467,plain,
% 2.66/2.89      ( ~ hBOOL(hAPP(X0,sk1_esk37_2(X0,X1)))
% 2.66/2.89      | hBOOL(hAPP(X0,X2))
% 2.66/2.89      | ~ c_member(tc_Nat_Onat,X2,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7466]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1457,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,X1))
% 2.66/2.89      | ~ c_member(tc_Nat_Onat,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))
% 2.66/2.89      | ~ hBOOL(hAPP(X0,sk1_esk20_2(X0,X2))) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2553_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7460,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,X1))
% 2.66/2.89      | ~ c_member(tc_Nat_Onat,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))
% 2.66/2.89      | ~ hBOOL(hAPP(X0,sk1_esk20_2(X0,X2))) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1457]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7461,plain,
% 2.66/2.89      ( ~ hBOOL(hAPP(X0,sk1_esk20_2(X0,X1)))
% 2.66/2.89      | hBOOL(hAPP(X0,X2))
% 2.66/2.89      | ~ c_member(tc_Nat_Onat,X2,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7460]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1454,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,X1))
% 2.66/2.89      | X2 = X1
% 2.66/2.89      | ~ hBOOL(hAPP(c_Set_Oinsert(X3,X2,X0),X1)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2554_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7454,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,X1))
% 2.66/2.89      | X2 = X1
% 2.66/2.89      | ~ hBOOL(hAPP(c_Set_Oinsert(X3,X2,X0),X1)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1454]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7455,plain,
% 2.66/2.89      ( ~ hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3))
% 2.66/2.89      | hBOOL(hAPP(X2,X3))
% 2.66/2.89      | X1 = X3 ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7454]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1451,plain,
% 2.66/2.89      ( c_Sum__Type_OPlus(X0,X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X0,X1),tc_HOL_Obool))
% 2.66/2.89      | X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.89      | X2 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2555_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7448,plain,
% 2.66/2.89      ( c_Sum__Type_OPlus(X0,X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X0,X1),tc_HOL_Obool))
% 2.66/2.89      | X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.89      | X2 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1451]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1449,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X1,X2),c_Set_Oinsert(X0,X1,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X3) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2556_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7444,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X1,X2),c_Set_Oinsert(X0,X1,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X3) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1449]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1446,plain,
% 2.66/2.89      ( c_Finite__Set_Ofinite(tc_prod(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(X0,X1),tc_HOL_Obool)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2557_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7438,plain,
% 2.66/2.89      ( c_Finite__Set_Ofinite(tc_prod(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(X0,X1),tc_HOL_Obool)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1446]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1443,plain,
% 2.66/2.89      ( c_Finite__Set_Ofinite(tc_sum(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(X0,X1),tc_HOL_Obool)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2558_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7432,plain,
% 2.66/2.89      ( c_Finite__Set_Ofinite(tc_sum(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(X0,X1),tc_HOL_Obool)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1443]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1432,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X1,X2),X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X3)
% 2.66/2.89      | ~ c_member(X0,X1,X3) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2561_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7410,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X1,X2),X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X3)
% 2.66/2.89      | ~ c_member(X0,X1,X3) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1432]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1420,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,sk1_esk36_2(X0,X1)))
% 2.66/2.89      | ~ hBOOL(hAPP(X0,X2))
% 2.66/2.89      | ~ c_member(tc_Nat_Onat,X2,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2564_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7386,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,sk1_esk36_2(X0,X1)))
% 2.66/2.89      | ~ hBOOL(hAPP(X0,X2))
% 2.66/2.89      | ~ c_member(tc_Nat_Onat,X2,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1420]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1417,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,sk1_esk11_2(X0,X1)))
% 2.66/2.89      | ~ hBOOL(hAPP(X0,X2))
% 2.66/2.89      | ~ c_member(tc_Nat_Onat,X2,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2565_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7380,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,sk1_esk11_2(X0,X1)))
% 2.66/2.89      | ~ hBOOL(hAPP(X0,X2))
% 2.66/2.89      | ~ c_member(tc_Nat_Onat,X2,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1417]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1401,plain,
% 2.66/2.89      ( c_Set_Oinsert(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X0)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X0)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2570_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7348,plain,
% 2.66/2.89      ( c_Set_Oinsert(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X0)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X0)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1401]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7349,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.89      | c_Set_Oinsert(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X0,X1)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7348]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1399,plain,
% 2.66/2.89      ( c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(tc_fun(X1,X0),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X1,X0),tc_HOL_Obool))) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2571_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7344,plain,
% 2.66/2.89      ( c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(tc_fun(X1,X0),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X1,X0),tc_HOL_Obool))) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1399]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7345,plain,
% 2.66/2.89      ( ~ c_Finite__Set_Ofinite(tc_fun(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X0,X1),tc_HOL_Obool)))
% 2.66/2.89      | c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7344]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1397,plain,
% 2.66/2.89      ( c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(tc_sum(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(X0,X1),tc_HOL_Obool))) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2572_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7340,plain,
% 2.66/2.89      ( c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(tc_sum(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(X0,X1),tc_HOL_Obool))) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1397]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7341,plain,
% 2.66/2.89      ( ~ c_Finite__Set_Ofinite(tc_sum(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(X0,X1),tc_HOL_Obool)))
% 2.66/2.89      | c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7340]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1395,plain,
% 2.66/2.89      ( c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(tc_sum(X1,X0),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(X1,X0),tc_HOL_Obool))) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2573_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7336,plain,
% 2.66/2.89      ( c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(tc_sum(X1,X0),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(X1,X0),tc_HOL_Obool))) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1395]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7337,plain,
% 2.66/2.89      ( ~ c_Finite__Set_Ofinite(tc_sum(X0,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(X0,X1),tc_HOL_Obool)))
% 2.66/2.89      | c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7336]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1393,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X3,X1),X2) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2574_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7332,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X3,X1),X2) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1393]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7333,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X1,X2),X3)
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X3) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7332]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1389,plain,
% 2.66/2.89      ( c_member(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Int_Oring__1__class_OInts(X0))
% 2.66/2.89      | ~ c_member(X0,X2,c_Int_Oring__1__class_OInts(X0))
% 2.66/2.89      | ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.66/2.89      | ~ class_Rings_Oring__1(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2575_3) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7324,plain,
% 2.66/2.89      ( c_member(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Int_Oring__1__class_OInts(X0))
% 2.66/2.89      | ~ c_member(X0,X2,c_Int_Oring__1__class_OInts(X0))
% 2.66/2.89      | ~ c_member(X0,X1,c_Int_Oring__1__class_OInts(X0))
% 2.66/2.89      | ~ class_Rings_Oring__1(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1389]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1385,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2576_3) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7316,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1385]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7317,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7316]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1377,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2578_3) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7300,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1377]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7301,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7300]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1369,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2580_3) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7284,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1369]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7285,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7284]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1365,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2581_3) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7276,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1365]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7277,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7276]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1361,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2582_3) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7268,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1361]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7269,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7268]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1357,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2583_3) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7260,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1357]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7261,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7260]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1354,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,X1))
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk37_2(X0,X2),X2)
% 2.66/2.89      | ~ c_member(tc_Nat_Onat,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2584_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7254,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,X1))
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk37_2(X0,X2),X2)
% 2.66/2.89      | ~ c_member(tc_Nat_Onat,X1,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1354]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1351,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,X1))
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk20_2(X0,X2),X2)
% 2.66/2.89      | ~ c_member(tc_Nat_Onat,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2585_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7248,plain,
% 2.66/2.89      ( hBOOL(hAPP(X0,X1))
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk20_2(X0,X2),X2)
% 2.66/2.89      | ~ c_member(tc_Nat_Onat,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1351]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1350,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2586_0) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7246,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1350]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1348,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2586_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7242,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1348]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7243,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7242]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1339,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.89      | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2589_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7224,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.89      | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1339]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7225,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7224]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1336,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 2.66/2.89      | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2590_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7218,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 2.66/2.89      | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1336]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7219,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7218]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1327,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.89      | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2593_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7200,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.89      | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1327]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7201,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7200]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1324,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 2.66/2.89      | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2594_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7194,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 2.66/2.89      | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1324]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7195,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7194]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1318,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.89      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2596_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7182,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.89      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1318]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7183,plain,
% 2.66/2.89      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X0,X3,X4))
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7182]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1294,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.66/2.89      | ~ class_Rings_Olinordered__semidom(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2601_3) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7134,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.66/2.89      | ~ class_Rings_Olinordered__semidom(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1294]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7135,plain,
% 2.66/2.89      ( ~ class_Rings_Olinordered__semidom(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7134]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1290,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2602_3) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7126,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1290]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7127,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7126]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1282,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2604_3) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7110,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1282]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7111,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7110]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1278,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2605_3) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7102,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 2.66/2.89      | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1278]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7103,plain,
% 2.66/2.89      ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oplus__class_Oplus(X0,X3,X1))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7102]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1276,plain,
% 2.66/2.89      ( c_member(X0,X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X1,X3),X2) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2606_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7098,plain,
% 2.66/2.89      ( c_member(X0,X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X1,X3),X2) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1276]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7099,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X1,X2),X3)
% 2.66/2.89      | c_member(X0,X1,X3) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7098]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1274,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2607_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7094,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1274]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1272,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2608_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7090,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1272]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1270,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2609_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7086,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1270]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1268,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2610_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7082,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1268]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1262,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X0,c_Set_Oinsert(X0,X2,X1)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2612_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7070,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X0,c_Set_Oinsert(X0,X2,X1)))
% 2.66/2.89      | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1262]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1260,plain,
% 2.66/2.89      ( X0 = X1
% 2.66/2.89      | c_Set_Oinsert(X2,X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))) != c_Set_Oinsert(X2,X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2613_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7066,plain,
% 2.66/2.89      ( X0 = X1
% 2.66/2.89      | c_Set_Oinsert(X2,X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))) != c_Set_Oinsert(X2,X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1260]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7067,plain,
% 2.66/2.89      ( c_Set_Oinsert(X0,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))) != c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.89      | X1 = X2 ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7066]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1258,plain,
% 2.66/2.89      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.89      | ~ c_member(X3,X2,c_SetInterval_Oord_OgreaterThan(X3,X0,X1)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2614_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7062,plain,
% 2.66/2.89      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.89      | ~ c_member(X3,X2,c_SetInterval_Oord_OgreaterThan(X3,X0,X1)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1258]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1256,plain,
% 2.66/2.89      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.89      | ~ c_member(X3,X1,c_SetInterval_Oord_OlessThan(X3,X0,X2)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2615_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7058,plain,
% 2.66/2.89      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.89      | ~ c_member(X3,X1,c_SetInterval_Oord_OlessThan(X3,X0,X2)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1256]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1254,plain,
% 2.66/2.89      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.89      | ~ c_member(X3,X2,c_SetInterval_Oord_OatLeast(X3,X0,X1)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2616_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7054,plain,
% 2.66/2.89      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.89      | ~ c_member(X3,X2,c_SetInterval_Oord_OatLeast(X3,X0,X1)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1254]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1252,plain,
% 2.66/2.89      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.89      | ~ c_member(X3,X1,c_SetInterval_Oord_OatMost(X3,X0,X2)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2617_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7050,plain,
% 2.66/2.89      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.89      | ~ c_member(X3,X1,c_SetInterval_Oord_OatMost(X3,X0,X2)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1252]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1249,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ class_Rings_Olinordered__idom(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2618_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7044,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ class_Rings_Olinordered__idom(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1249]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7045,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ class_Rings_Olinordered__idom(X0) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7044]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1246,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2619_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7038,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1246]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7039,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 2.66/2.89      | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | ~ class_Groups_Olinordered__ab__group__add(X0) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7038]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1243,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2620_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7032,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1243]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7033,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ class_Groups_Olinordered__ab__group__add(X0) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7032]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1240,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2621_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7026,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1240]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7027,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 2.66/2.89      | ~ class_Groups_Olinordered__ab__group__add(X0) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7026]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1237,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2622_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7020,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ class_Groups_Olinordered__ab__group__add(X0)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1237]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7021,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.89      | ~ class_Groups_Olinordered__ab__group__add(X0) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7020]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1235,plain,
% 2.66/2.89      ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) = c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.66/2.89      | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2623_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7016,plain,
% 2.66/2.89      ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) = c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 2.66/2.89      | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1235]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7017,plain,
% 2.66/2.89      ( ~ class_Rings_Ocomm__semiring__1(X0)
% 2.66/2.89      | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) = c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3)) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7016]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1231,plain,
% 2.66/2.89      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.89      | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2625_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7008,plain,
% 2.66/2.89      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.89      | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1231]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7009,plain,
% 2.66/2.89      ( ~ class_Rings_Ocomm__semiring__1(X0)
% 2.66/2.89      | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7008]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1229,plain,
% 2.66/2.89      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 2.66/2.89      | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2626_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7004,plain,
% 2.66/2.89      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 2.66/2.89      | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1229]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7005,plain,
% 2.66/2.89      ( ~ class_Rings_Ocomm__semiring__1(X0)
% 2.66/2.89      | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7004]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1227,plain,
% 2.66/2.89      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.89      | ~ class_Groups_Oab__semigroup__add(X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2627_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7000,plain,
% 2.66/2.89      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 2.66/2.89      | ~ class_Groups_Oab__semigroup__add(X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1227]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_7001,plain,
% 2.66/2.89      ( ~ class_Groups_Oab__semigroup__add(X0)
% 2.66/2.89      | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_7000]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1222,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X2,X3)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2631_0) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_6990,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X2,X3)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1222]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1221,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X2,X3) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2631_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_6988,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X2,X3) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1221]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1220,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X3,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2631_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_6986,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X3,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1220]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1219,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X3)
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2632_0) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_6984,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X3)
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1219]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1218,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X3) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2632_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_6982,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X3) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1218]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1217,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X3,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2632_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_6980,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X3,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1217]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1216,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X2,X3)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2633_0) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_6978,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X2,X3)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1216]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1214,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X3,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2633_2) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_6974,plain,
% 2.66/2.89      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X3,X2)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1214]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_6975,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.89      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X3)
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X2,X3) ),
% 2.66/2.89      inference(rewriting,[status(thm)],[c_6974]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1201,plain,
% 2.66/2.89      ( c_Set_Oimage(X0,X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.89      | X3 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2638_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_6948,plain,
% 2.66/2.89      ( c_Set_Oimage(X0,X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.89      | X3 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1201]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_1195,plain,
% 2.66/2.89      ( c_Set_Oinsert(tc_Nat_Onat,X0,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1,X0)) = c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 2.66/2.89      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2640_1) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_6936,plain,
% 2.66/2.89      ( c_Set_Oinsert(tc_Nat_Onat,X0,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1,X0)) = c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X0))
% 2.66/2.89      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 2.66/2.89      inference(copy,[status(esa)],[c_1195]) ).
% 2.66/2.89  
% 2.66/2.89  cnf(c_6937,plain,
% 2.66/2.89      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.89      | c_Set_Oinsert(tc_Nat_Onat,X1,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X0,X1)) = c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6936]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1185,plain,
% 2.66/2.90      ( c_member(X0,X1,X2)
% 2.66/2.90      | X1 = X3
% 2.66/2.90      | ~ c_member(X0,X1,c_Set_Oinsert(X0,X3,X2)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2645_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6916,plain,
% 2.66/2.90      ( c_member(X0,X1,X2)
% 2.66/2.90      | X1 = X3
% 2.66/2.90      | ~ c_member(X0,X1,c_Set_Oinsert(X0,X3,X2)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1185]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6917,plain,
% 2.66/2.90      ( ~ c_member(X0,X1,c_Set_Oinsert(X0,X2,X3))
% 2.66/2.90      | c_member(X0,X1,X3)
% 2.66/2.90      | X1 = X2 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6916]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1183,plain,
% 2.66/2.90      ( c_Set_Oinsert(X0,sk1_esk43_3(X1,X2,X0),sk1_esk44_3(X1,X2,X0)) = X2
% 2.66/2.90      | c_Finite__Set_Ocard(X0,X2) != hAPP(c_Nat_OSuc,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2646_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6912,plain,
% 2.66/2.90      ( c_Set_Oinsert(X0,sk1_esk43_3(X1,X2,X0),sk1_esk44_3(X1,X2,X0)) = X2
% 2.66/2.90      | c_Finite__Set_Ocard(X0,X2) != hAPP(c_Nat_OSuc,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1183]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6913,plain,
% 2.66/2.90      ( c_Finite__Set_Ocard(X0,X1) != hAPP(c_Nat_OSuc,X2)
% 2.66/2.90      | c_Set_Oinsert(X0,sk1_esk43_3(X2,X1,X0),sk1_esk44_3(X2,X1,X0)) = X1 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6912]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1179,plain,
% 2.66/2.90      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(X1)
% 2.66/2.90      | ~ class_Groups_Ocomm__monoid__add(X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2648_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6904,plain,
% 2.66/2.90      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(X1)
% 2.66/2.90      | ~ class_Groups_Ocomm__monoid__add(X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1179]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6905,plain,
% 2.66/2.90      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.66/2.90      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(X0) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6904]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1177,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oinsert(X0,X2,X3))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2649_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6900,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oinsert(X0,X2,X3))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X3) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1177]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1175,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X3) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2651_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6896,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X3) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1175]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1166,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2654_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6878,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1166]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6879,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6878]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1160,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2657_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6866,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1160]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6867,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6866]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1158,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2658_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6862,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1158]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6863,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6862]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1136,plain,
% 2.66/2.90      ( hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3)) | ~ hBOOL(hAPP(X2,X3)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2664_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6818,plain,
% 2.66/2.90      ( hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3)) | ~ hBOOL(hAPP(X2,X3)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1136]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1134,plain,
% 2.66/2.90      ( c_member(X0,X1,c_SetInterval_Oord_OgreaterThan(X0,X2,X3))
% 2.66/2.90      | ~ hBOOL(hAPP(hAPP(X2,X3),X1)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2665_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6814,plain,
% 2.66/2.90      ( c_member(X0,X1,c_SetInterval_Oord_OgreaterThan(X0,X2,X3))
% 2.66/2.90      | ~ hBOOL(hAPP(hAPP(X2,X3),X1)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1134]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6815,plain,
% 2.66/2.90      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.90      | c_member(X3,X2,c_SetInterval_Oord_OgreaterThan(X3,X0,X1)) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6814]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1132,plain,
% 2.66/2.90      ( c_member(X0,X1,c_SetInterval_Oord_OlessThan(X0,X2,X3))
% 2.66/2.90      | ~ hBOOL(hAPP(hAPP(X2,X1),X3)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2666_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6810,plain,
% 2.66/2.90      ( c_member(X0,X1,c_SetInterval_Oord_OlessThan(X0,X2,X3))
% 2.66/2.90      | ~ hBOOL(hAPP(hAPP(X2,X1),X3)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1132]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6811,plain,
% 2.66/2.90      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.90      | c_member(X3,X1,c_SetInterval_Oord_OlessThan(X3,X0,X2)) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6810]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1130,plain,
% 2.66/2.90      ( c_member(X0,X1,c_SetInterval_Oord_OatLeast(X0,X2,X3))
% 2.66/2.90      | ~ hBOOL(hAPP(hAPP(X2,X3),X1)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2667_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6806,plain,
% 2.66/2.90      ( c_member(X0,X1,c_SetInterval_Oord_OatLeast(X0,X2,X3))
% 2.66/2.90      | ~ hBOOL(hAPP(hAPP(X2,X3),X1)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1130]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6807,plain,
% 2.66/2.90      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.90      | c_member(X3,X2,c_SetInterval_Oord_OatLeast(X3,X0,X1)) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6806]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1128,plain,
% 2.66/2.90      ( c_member(X0,X1,c_SetInterval_Oord_OatMost(X0,X2,X3))
% 2.66/2.90      | ~ hBOOL(hAPP(hAPP(X2,X1),X3)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2668_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6802,plain,
% 2.66/2.90      ( c_member(X0,X1,c_SetInterval_Oord_OatMost(X0,X2,X3))
% 2.66/2.90      | ~ hBOOL(hAPP(hAPP(X2,X1),X3)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1128]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6803,plain,
% 2.66/2.90      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 2.66/2.90      | c_member(X3,X1,c_SetInterval_Oord_OatMost(X3,X0,X2)) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6802]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1126,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Finite__Set_Ocard(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2669_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6798,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Finite__Set_Ocard(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1126]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6799,plain,
% 2.66/2.90      ( ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Finite__Set_Ocard(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6798]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1119,plain,
% 2.66/2.90      ( c_Finite__Set_Ocard(X0,c_Set_Oinsert(X0,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Finite__Set_Ocard(X0,X2))
% 2.66/2.90      | c_member(X0,X1,X2)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2673_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6784,plain,
% 2.66/2.90      ( c_Finite__Set_Ocard(X0,c_Set_Oinsert(X0,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Finite__Set_Ocard(X0,X2))
% 2.66/2.90      | c_member(X0,X1,X2)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1119]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6785,plain,
% 2.66/2.90      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.90      | c_member(X0,X2,X1)
% 2.66/2.90      | c_Finite__Set_Ocard(X0,c_Set_Oinsert(X0,X2,X1)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Finite__Set_Ocard(X0,X1)) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6784]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1103,plain,
% 2.66/2.90      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,X3) = c_Groups_Ozero__class_Ozero(X1)
% 2.66/2.90      | c_Finite__Set_Ofinite(X0,X3)
% 2.66/2.90      | ~ class_Groups_Ocomm__monoid__add(X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2677_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6752,plain,
% 2.66/2.90      ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X0,X1,X2,X3) = c_Groups_Ozero__class_Ozero(X1)
% 2.66/2.90      | c_Finite__Set_Ofinite(X0,X3)
% 2.66/2.90      | ~ class_Groups_Ocomm__monoid__add(X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1103]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6753,plain,
% 2.66/2.90      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.66/2.90      | c_Finite__Set_Ofinite(X1,X2)
% 2.66/2.90      | c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X0,X3,X2) = c_Groups_Ozero__class_Ozero(X0) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6752]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1086,plain,
% 2.66/2.90      ( c_member(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.90      | X1 != X2 ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2683_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6718,plain,
% 2.66/2.90      ( c_member(X0,X1,c_Set_Oinsert(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))
% 2.66/2.90      | X1 != X2 ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1086]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1065,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | ~ c_member(X0,X3,X1)
% 2.66/2.90      | c_member(X0,X3,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2690_0) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6676,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | ~ c_member(X0,X3,X1)
% 2.66/2.90      | c_member(X0,X3,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1065]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1063,plain,
% 2.66/2.90      ( c_member(X0,X1,X2)
% 2.66/2.90      | ~ c_member(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X3,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2690_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6672,plain,
% 2.66/2.90      ( c_member(X0,X1,X2)
% 2.66/2.90      | ~ c_member(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X3,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1063]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6673,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | c_member(X0,X3,X2)
% 2.66/2.90      | ~ c_member(X0,X3,X1) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6672]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1062,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | ~ c_member(X0,X3,X1)
% 2.66/2.90      | c_member(X0,X3,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2691_0) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6670,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | ~ c_member(X0,X3,X1)
% 2.66/2.90      | c_member(X0,X3,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1062]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1060,plain,
% 2.66/2.90      ( c_member(X0,X1,X2)
% 2.66/2.90      | ~ c_member(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X3,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2691_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6666,plain,
% 2.66/2.90      ( c_member(X0,X1,X2)
% 2.66/2.90      | ~ c_member(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X3,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1060]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6667,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | c_member(X0,X3,X2)
% 2.66/2.90      | ~ c_member(X0,X3,X1) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6666]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1048,plain,
% 2.66/2.90      ( X0 = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.90      | c_Finite__Set_Ocard(X1,X0) != c_Finite__Set_Ocard(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2695_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6642,plain,
% 2.66/2.90      ( X0 = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.90      | c_Finite__Set_Ocard(X1,X0) != c_Finite__Set_Ocard(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1048]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6643,plain,
% 2.66/2.90      ( ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.90      | c_Finite__Set_Ocard(X0,X1) != c_Finite__Set_Ocard(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.90      | X1 = c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6642]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1044,plain,
% 2.66/2.90      ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 2.66/2.90      | ~ hBOOL(hAPP(X0,X1))
% 2.66/2.90      | ~ hBOOL(hAPP(X0,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sk1_esk41_2(X1,X0)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2696_3) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6634,plain,
% 2.66/2.90      ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 2.66/2.90      | ~ hBOOL(hAPP(X0,X1))
% 2.66/2.90      | ~ hBOOL(hAPP(X0,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sk1_esk41_2(X1,X0)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1044]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1042,plain,
% 2.66/2.90      ( hAPP(c_Nat_OSuc,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk27_2(X1,X0))) = X1
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2697_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6630,plain,
% 2.66/2.90      ( hAPP(c_Nat_OSuc,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk27_2(X1,X0))) = X1
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1042]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6631,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | hAPP(c_Nat_OSuc,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk27_2(X1,X0))) = X1 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6630]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1039,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X0,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2698_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6624,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X0,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1039]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6625,plain,
% 2.66/2.90      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X2),c_Finite__Set_Ocard(X0,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X2,X1) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6624]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1036,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X0,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2699_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6618,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X0,X1),c_Finite__Set_Ocard(X0,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1036]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1034,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2700_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6614,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1034]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1032,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2701_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6610,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1032]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1026,plain,
% 2.66/2.90      ( c_member(X0,X1,c_Set_Oinsert(X0,X2,X3)) | ~ c_member(X0,X1,X3) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2704_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6598,plain,
% 2.66/2.90      ( c_member(X0,X1,c_Set_Oinsert(X0,X2,X3)) | ~ c_member(X0,X1,X3) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1026]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1024,plain,
% 2.66/2.90      ( hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3)) | X1 != X3 ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2705_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6594,plain,
% 2.66/2.90      ( hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3)) | X1 != X3 ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1024]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1019,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | X1 = X2
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2709_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6584,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | X1 = X2
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1019]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6585,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X1)
% 2.66/2.90      | X1 = X2 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6584]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1012,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2711_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6570,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1012]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1009,plain,
% 2.66/2.90      ( hBOOL(hAPP(X0,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 2.66/2.90      | ~ hBOOL(hAPP(X0,sk1_esk38_2(X0,X2))) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2712_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6564,plain,
% 2.66/2.90      ( hBOOL(hAPP(X0,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 2.66/2.90      | ~ hBOOL(hAPP(X0,sk1_esk38_2(X0,X2))) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1009]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6565,plain,
% 2.66/2.90      ( ~ hBOOL(hAPP(X0,sk1_esk38_2(X0,X1)))
% 2.66/2.90      | hBOOL(hAPP(X0,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6564]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_1006,plain,
% 2.66/2.90      ( hBOOL(hAPP(X0,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 2.66/2.90      | ~ hBOOL(hAPP(X0,sk1_esk21_2(X0,X2))) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2713_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6558,plain,
% 2.66/2.90      ( hBOOL(hAPP(X0,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 2.66/2.90      | ~ hBOOL(hAPP(X0,sk1_esk21_2(X0,X2))) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_1006]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6559,plain,
% 2.66/2.90      ( ~ hBOOL(hAPP(X0,sk1_esk21_2(X0,X1)))
% 2.66/2.90      | hBOOL(hAPP(X0,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6558]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_996,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2719_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6538,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_996]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_994,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2720_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6534,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_994]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_992,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2721_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6530,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_992]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_990,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2722_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6526,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_990]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_981,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X3,X2))
% 2.66/2.90      | ~ class_Orderings_Oord(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X0),X1,X3) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2725_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6508,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2),hAPP(X3,X2))
% 2.66/2.90      | ~ class_Orderings_Oord(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X0),X1,X3) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_981]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6509,plain,
% 2.66/2.90      ( ~ class_Orderings_Oord(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2,X3)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(X0,hAPP(X2,X4),hAPP(X3,X4)) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6508]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_979,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | X1 != hAPP(c_Nat_OSuc,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2726_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6504,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | X1 != hAPP(c_Nat_OSuc,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_979]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_968,plain,
% 2.66/2.90      ( c_Finite__Set_Ocard(X0,c_Set_Oinsert(X0,X1,X2)) = hAPP(c_Nat_OSuc,c_Finite__Set_Ocard(X0,X2))
% 2.66/2.90      | c_member(X0,X1,X2)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2729_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6482,plain,
% 2.66/2.90      ( c_Finite__Set_Ocard(X0,c_Set_Oinsert(X0,X1,X2)) = hAPP(c_Nat_OSuc,c_Finite__Set_Ocard(X0,X2))
% 2.66/2.90      | c_member(X0,X1,X2)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_968]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6483,plain,
% 2.66/2.90      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.90      | c_member(X0,X2,X1)
% 2.66/2.90      | c_Finite__Set_Ocard(X0,c_Set_Oinsert(X0,X2,X1)) = hAPP(c_Nat_OSuc,c_Finite__Set_Ocard(X0,X1)) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6482]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_967,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2730_0) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6480,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_967]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_966,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2730_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6478,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_966]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_964,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2730_3) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6474,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_964]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6475,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6474]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_963,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2731_0) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6472,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_963]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_960,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2731_3) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6466,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_960]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6467,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6466]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_959,plain,
% 2.66/2.90      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2732_0) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6464,plain,
% 2.66/2.90      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_959]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_958,plain,
% 2.66/2.90      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2732_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6462,plain,
% 2.66/2.90      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X3) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_958]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_956,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.90      | ~ class_Orderings_Opreorder(X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2732_3) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6458,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.90      | ~ class_Orderings_Opreorder(X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_956]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6459,plain,
% 2.66/2.90      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6458]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_955,plain,
% 2.66/2.90      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2733_0) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6456,plain,
% 2.66/2.90      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_955]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_952,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.90      | ~ class_Orderings_Opreorder(X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2733_3) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6450,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.90      | ~ class_Orderings_Opreorder(X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_952]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6451,plain,
% 2.66/2.90      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6450]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_947,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2735_0) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6440,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_947]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_946,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2735_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6438,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_946]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_944,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2735_3) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6434,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_944]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6435,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6434]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_939,plain,
% 2.66/2.90      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2737_0) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6424,plain,
% 2.66/2.90      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_939]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_938,plain,
% 2.66/2.90      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2737_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6422,plain,
% 2.66/2.90      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_938]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_936,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.90      | ~ class_Orderings_Opreorder(X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2737_3) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6418,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.90      | ~ class_Orderings_Opreorder(X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_936]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6419,plain,
% 2.66/2.90      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6418]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_934,plain,
% 2.66/2.90      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2738_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6414,plain,
% 2.66/2.90      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_934]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6415,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.90      | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6414]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_927,plain,
% 2.66/2.90      ( c_member(X0,X1,X2)
% 2.66/2.90      | c_member(X0,X1,X3)
% 2.66/2.90      | c_Set_Oinsert(X0,X1,X2) = c_Set_Oinsert(X0,X1,X3)
% 2.66/2.90      | X2 != X3 ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2741_3) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6400,plain,
% 2.66/2.90      ( c_member(X0,X1,X2)
% 2.66/2.90      | c_member(X0,X1,X3)
% 2.66/2.90      | c_Set_Oinsert(X0,X1,X2) = c_Set_Oinsert(X0,X1,X3)
% 2.66/2.90      | X2 != X3 ),
% 2.66/2.90      inference(copy,[status(esa)],[c_927]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_924,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2742_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6394,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_924]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_921,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2743_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6388,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_921]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_918,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2744_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6382,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_918]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_915,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2745_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6376,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_915]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_914,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2746_0) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6374,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_914]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_913,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2746_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6372,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_913]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_912,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2746_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6370,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_912]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_910,plain,
% 2.66/2.90      ( c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(tc_Option_Ooption(X0),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X0),tc_HOL_Obool))) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2747_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6366,plain,
% 2.66/2.90      ( c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(tc_Option_Ooption(X0),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X0),tc_HOL_Obool))) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_910]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6367,plain,
% 2.66/2.90      ( ~ c_Finite__Set_Ofinite(tc_Option_Ooption(X0),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X0),tc_HOL_Obool)))
% 2.66/2.90      | c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6366]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_904,plain,
% 2.66/2.90      ( hBOOL(hAPP(X0,sk1_esk35_2(X0,X1)))
% 2.66/2.90      | ~ hBOOL(hAPP(X0,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2750_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6354,plain,
% 2.66/2.90      ( hBOOL(hAPP(X0,sk1_esk35_2(X0,X1)))
% 2.66/2.90      | ~ hBOOL(hAPP(X0,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_904]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_901,plain,
% 2.66/2.90      ( hBOOL(hAPP(X0,sk1_esk10_2(X0,X1)))
% 2.66/2.90      | ~ hBOOL(hAPP(X0,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2751_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6348,plain,
% 2.66/2.90      ( hBOOL(hAPP(X0,sk1_esk10_2(X0,X1)))
% 2.66/2.90      | ~ hBOOL(hAPP(X0,X2))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_901]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_897,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),hAPP(c_Nat_OSuc,X1)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2753_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6340,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),hAPP(c_Nat_OSuc,X1)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_897]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6341,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6340]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_895,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),hAPP(c_Nat_OSuc,X1)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2754_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6336,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),hAPP(c_Nat_OSuc,X1)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_895]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6337,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6336]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_890,plain,
% 2.66/2.90      ( c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,c_Set_Oinsert(X0,X2,X1)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2756_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6326,plain,
% 2.66/2.90      ( c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,c_Set_Oinsert(X0,X2,X1)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_890]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6327,plain,
% 2.66/2.90      ( ~ c_Finite__Set_Ofinite(X0,c_Set_Oinsert(X0,X1,X2))
% 2.66/2.90      | c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6326]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_888,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X0)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2757_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6322,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X0)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_888]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6323,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6322]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_886,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2758_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6318,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_886]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6319,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6318]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_873,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | X1 = X2
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2763_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6292,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | X1 = X2
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_873]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6293,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | X1 = X2 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6292]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_871,plain,
% 2.66/2.90      ( c_Finite__Set_Ofinite(tc_Option_Ooption(X0),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X0),tc_HOL_Obool)))
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2764_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6288,plain,
% 2.66/2.90      ( c_Finite__Set_Ofinite(tc_Option_Ooption(X0),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X0),tc_HOL_Obool)))
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_871]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_861,plain,
% 2.66/2.90      ( hBOOL(hAPP(X0,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X3,X0)
% 2.66/2.90      | ~ hBOOL(hAPP(X3,X1)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2767_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6268,plain,
% 2.66/2.90      ( hBOOL(hAPP(X0,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X3,X0)
% 2.66/2.90      | ~ hBOOL(hAPP(X3,X1)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_861]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6269,plain,
% 2.66/2.90      ( hBOOL(hAPP(X0,X1))
% 2.66/2.90      | ~ hBOOL(hAPP(X2,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X0) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6268]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_862,plain,
% 2.66/2.90      ( ~ hBOOL(hAPP(X0,X1))
% 2.66/2.90      | hBOOL(hAPP(X2,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X0,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2767_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6270,plain,
% 2.66/2.90      ( ~ hBOOL(hAPP(X0,X1))
% 2.66/2.90      | hBOOL(hAPP(X2,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X0,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_862]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_855,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2770_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6256,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_855]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_853,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)))
% 2.66/2.90      | ~ class_Rings_Olinordered__semidom(X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2771_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6252,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)))
% 2.66/2.90      | ~ class_Rings_Olinordered__semidom(X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_853]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6253,plain,
% 2.66/2.90      ( ~ class_Rings_Olinordered__semidom(X0)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6252]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_835,plain,
% 2.66/2.90      ( X0 = hAPP(c_Nat_OSuc,X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2778_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6216,plain,
% 2.66/2.90      ( X0 = hAPP(c_Nat_OSuc,X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_835]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6217,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | X0 = hAPP(c_Nat_OSuc,X1) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6216]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_831,plain,
% 2.66/2.90      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | X1 != X2 ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2780_3) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6208,plain,
% 2.66/2.90      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | X1 != X2 ),
% 2.66/2.90      inference(copy,[status(esa)],[c_831]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_827,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2782_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6200,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_827]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_825,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2783_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6196,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_825]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_809,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | ~ class_Orderings_Oorder(X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2787_3) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6164,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | ~ class_Orderings_Oorder(X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_809]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6165,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.66/2.90      | X2 = X1 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6164]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_810,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | X1 = X2
% 2.66/2.90      | ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2787_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6166,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | X1 = X2
% 2.66/2.90      | ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_810]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6167,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.66/2.90      | X1 = X2 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6166]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_806,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 2.66/2.90      | X0 != hAPP(c_Nat_OSuc,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2788_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6158,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 2.66/2.90      | X0 != hAPP(c_Nat_OSuc,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_806]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_804,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)))
% 2.66/2.90      | ~ class_Rings_Olinordered__semidom(X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2789_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6154,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)))
% 2.66/2.90      | ~ class_Rings_Olinordered__semidom(X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_804]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6155,plain,
% 2.66/2.90      ( ~ class_Rings_Olinordered__semidom(X0)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0))) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6154]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_792,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | ~ class_Groups_Ocancel__semigroup__add(X2)
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(X2,X0,X3) != c_Groups_Oplus__class_Oplus(X2,X1,X3) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2793_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6130,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | ~ class_Groups_Ocancel__semigroup__add(X2)
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(X2,X0,X3) != c_Groups_Oplus__class_Oplus(X2,X1,X3) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_792]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6131,plain,
% 2.66/2.90      ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 2.66/2.90      | X1 = X3 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6130]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_798,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1)
% 2.66/2.90      | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2791_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6142,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1)
% 2.66/2.90      | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_798]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6143,plain,
% 2.66/2.90      ( ~ class_Groups_Ocancel__ab__semigroup__add(X0)
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 2.66/2.90      | X2 = X3 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6142]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_789,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | ~ class_Groups_Ocancel__semigroup__add(X2)
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2794_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6124,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | ~ class_Groups_Ocancel__semigroup__add(X2)
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_789]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6125,plain,
% 2.66/2.90      ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 2.66/2.90      | X2 = X3 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6124]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_783,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2796_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6112,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_783]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6113,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6112]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_771,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.66/2.90      | ~ class_Orderings_Opreorder(X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2800_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6088,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.66/2.90      | ~ class_Orderings_Opreorder(X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_771]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6089,plain,
% 2.66/2.90      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6088]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_765,plain,
% 2.66/2.90      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2802_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6076,plain,
% 2.66/2.90      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_765]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_759,plain,
% 2.66/2.90      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2804_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6064,plain,
% 2.66/2.90      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_759]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6065,plain,
% 2.66/2.90      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6064]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_753,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X0)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2806_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6052,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X0)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_753]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6053,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | X1 = X0 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6052]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_747,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2808_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6040,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_747]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6041,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | X0 = X1 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6040]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_740,plain,
% 2.66/2.90      ( c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2810_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6026,plain,
% 2.66/2.90      ( c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_740]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6027,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | c_SetInterval_Oord__class_OatLeastAtMost(X0,X2,X1) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6026]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_737,plain,
% 2.66/2.90      ( c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2811_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6020,plain,
% 2.66/2.90      ( c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_737]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6021,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | c_SetInterval_Oord__class_OatLeastLessThan(X0,X2,X1) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_6020]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_732,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.90      | X1 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2814_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6010,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.90      | X1 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_732]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_727,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Finite__Set_Ocard(X0,X1))
% 2.66/2.90      | X1 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2816_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_6000,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Finite__Set_Ocard(X0,X1))
% 2.66/2.90      | X1 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_727]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_723,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2818_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5992,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_723]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_719,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2820_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5984,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_719]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5985,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_5984]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_717,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2821_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5980,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_717]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5981,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_5980]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_715,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2822_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5976,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_715]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5977,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_5976]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_712,plain,
% 2.66/2.90      ( c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) = c_Set_Oinsert(X0,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.90      | X1 != X2
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2823_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5970,plain,
% 2.66/2.90      ( c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) = c_Set_Oinsert(X0,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.90      | X1 != X2
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_712]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5971,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) = c_Set_Oinsert(X0,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.90      | X1 != X2 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_5970]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_706,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | X0 = X1
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2825_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5958,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | X0 = X1
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_706]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5959,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
% 2.66/2.90      | X0 = X1 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_5958]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_703,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2826_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5952,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_703]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5953,plain,
% 2.66/2.90      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)
% 2.66/2.90      | X0 = X2 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_5952]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_701,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2827_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5948,plain,
% 2.66/2.90      ( X0 = X1
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_701]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5949,plain,
% 2.66/2.90      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)
% 2.66/2.90      | X1 = X2 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_5948]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_699,plain,
% 2.66/2.90      ( c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X1) = c_Set_Oinsert(X0,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2828_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5944,plain,
% 2.66/2.90      ( c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X1) = c_Set_Oinsert(X0,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.90      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_699]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5945,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X1) = c_Set_Oinsert(X0,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_5944]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_695,plain,
% 2.66/2.90      ( c_member(X0,X1,c_Set_Oinsert(X0,X2,X3)) | X1 != X2 ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2832_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5936,plain,
% 2.66/2.90      ( c_member(X0,X1,c_Set_Oinsert(X0,X2,X3)) | X1 != X2 ),
% 2.66/2.90      inference(copy,[status(esa)],[c_695]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_693,plain,
% 2.66/2.90      ( c_Finite__Set_Ocard(X0,sk1_esk44_3(X1,X2,X0)) = X1
% 2.66/2.90      | c_Finite__Set_Ocard(X0,X2) != hAPP(c_Nat_OSuc,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2833_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5932,plain,
% 2.66/2.90      ( c_Finite__Set_Ocard(X0,sk1_esk44_3(X1,X2,X0)) = X1
% 2.66/2.90      | c_Finite__Set_Ocard(X0,X2) != hAPP(c_Nat_OSuc,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_693]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_691,plain,
% 2.66/2.90      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk26_2(X1,X0)) = X1
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2834_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5928,plain,
% 2.66/2.90      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk26_2(X1,X0)) = X1
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_691]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5929,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk26_2(X1,X0)) = X1 ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_5928]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_679,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,sk1_esk12_1(X1))
% 2.66/2.90      | ~ c_member(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2838_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5904,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,sk1_esk12_1(X1))
% 2.66/2.90      | ~ c_member(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_679]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5905,plain,
% 2.66/2.90      ( ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,sk1_esk12_1(X0))
% 2.66/2.90      | ~ c_member(tc_Nat_Onat,X1,X0) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_5904]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_676,plain,
% 2.66/2.90      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.90      | hAPP(c_Nat_OSuc,sk1_esk23_2(X1,X0)) = X0
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2839_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5898,plain,
% 2.66/2.90      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.90      | hAPP(c_Nat_OSuc,sk1_esk23_2(X1,X0)) = X0
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_676]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5899,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | hAPP(c_Nat_OSuc,sk1_esk23_2(X1,X0)) = X0
% 2.66/2.90      | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_5898]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_668,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2844_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5882,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_668]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5883,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_5882]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_666,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2845_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5878,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_666]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_662,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2847_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5870,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_662]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_658,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2849_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5862,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_658]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_654,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.66/2.90      | c_Finite__Set_Ofinite(X0,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2851_0) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5854,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.66/2.90      | c_Finite__Set_Ofinite(X0,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_654]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_652,plain,
% 2.66/2.90      ( c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2851_2) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5850,plain,
% 2.66/2.90      ( c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,X2)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_652]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5851,plain,
% 2.66/2.90      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.90      | c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.90      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_5850]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_650,plain,
% 2.66/2.90      ( c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2854_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5846,plain,
% 2.66/2.90      ( c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.90      inference(copy,[status(esa)],[c_650]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5847,plain,
% 2.66/2.90      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.90      | c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ),
% 2.66/2.90      inference(rewriting,[status(thm)],[c_5846]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_648,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.66/2.90      | X1 != X3 ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2855_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5842,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.66/2.90      | X1 != X3 ),
% 2.66/2.90      inference(copy,[status(esa)],[c_648]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_644,plain,
% 2.66/2.90      ( ~ class_Orderings_Oord(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.90      | X2 != X3 ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2856_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5834,plain,
% 2.66/2.90      ( ~ class_Orderings_Oord(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.90      | X2 != X3 ),
% 2.66/2.90      inference(copy,[status(esa)],[c_644]) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_640,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.90      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.90      | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.66/2.90      | X1 != X3 ),
% 2.66/2.90      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2857_1) ).
% 2.66/2.90  
% 2.66/2.90  cnf(c_5826,plain,
% 2.66/2.90      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.66/2.91      | X1 != X3 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_640]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_636,plain,
% 2.66/2.91      ( ~ class_Orderings_Oord(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.91      | X2 != X3 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2858_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5818,plain,
% 2.66/2.91      ( ~ class_Orderings_Oord(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.91      | X2 != X3 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_636]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_630,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.91      | X2 != X3
% 2.66/2.91      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2859_3) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5806,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.91      | X2 != X3
% 2.66/2.91      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_630]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5807,plain,
% 2.66/2.91      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X3)
% 2.66/2.91      | X2 != X3 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5806]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_626,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.66/2.91      | X1 != X3
% 2.66/2.91      | ~ class_Orderings_Oord(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2860_3) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5798,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.66/2.91      | X1 != X3
% 2.66/2.91      | ~ class_Orderings_Oord(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_626]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5799,plain,
% 2.66/2.91      ( ~ class_Orderings_Oord(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X2)
% 2.66/2.91      | X1 != X3 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5798]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_622,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.91      | X2 != X3
% 2.66/2.91      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2861_3) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5790,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.91      | X2 != X3
% 2.66/2.91      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_622]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5791,plain,
% 2.66/2.91      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 2.66/2.91      | X2 != X3 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5790]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_618,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.66/2.91      | X1 != X3
% 2.66/2.91      | ~ class_Orderings_Oord(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2862_3) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5782,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.66/2.91      | X1 != X3
% 2.66/2.91      | ~ class_Orderings_Oord(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_618]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5783,plain,
% 2.66/2.91      ( ~ class_Orderings_Oord(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 2.66/2.91      | X1 != X3 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5782]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_590,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | X2 = X1
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2870_3) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5726,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | X2 = X1
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_590]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5727,plain,
% 2.66/2.91      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | X2 = X1 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5726]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_574,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | X1 = X2
% 2.66/2.91      | ~ class_Orderings_Oorder(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2874_3) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5694,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | X1 = X2
% 2.66/2.91      | ~ class_Orderings_Oorder(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_574]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5695,plain,
% 2.66/2.91      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | X1 = X2 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5694]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_565,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | ~ class_Orderings_Opreorder(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2877_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5676,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | ~ class_Orderings_Opreorder(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_565]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5677,plain,
% 2.66/2.91      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5676]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_553,plain,
% 2.66/2.91      ( c_member(X0,X1,X2) | X1 != X3 | ~ c_member(X0,X3,X2) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2881_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5652,plain,
% 2.66/2.91      ( c_member(X0,X1,X2) | X1 != X3 | ~ c_member(X0,X3,X2) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_553]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5653,plain,
% 2.66/2.91      ( c_member(X0,X1,X2) | ~ c_member(X0,X3,X2) | X1 != X3 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5652]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_557,plain,
% 2.66/2.91      ( ~ c_member(X0,X1,X2) | c_member(X0,X3,X2) | X1 != X3 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2880_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5660,plain,
% 2.66/2.91      ( ~ c_member(X0,X1,X2) | c_member(X0,X3,X2) | X1 != X3 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_557]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_554,plain,
% 2.66/2.91      ( ~ c_member(X0,X1,X2) | c_member(X0,X3,X2) | X3 != X1 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2881_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5654,plain,
% 2.66/2.91      ( ~ c_member(X0,X1,X2) | c_member(X0,X3,X2) | X3 != X1 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_554]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_542,plain,
% 2.66/2.91      ( ~ c_member(X0,X1,X2) | c_member(X0,X1,X3) | X3 != X2 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2885_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5630,plain,
% 2.66/2.91      ( ~ c_member(X0,X1,X2) | c_member(X0,X1,X3) | X3 != X2 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_542]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_539,plain,
% 2.66/2.91      ( ~ c_member(X0,X1,X2) | c_member(X0,X1,X3) | X2 != X3 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2886_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5624,plain,
% 2.66/2.91      ( ~ c_member(X0,X1,X2) | c_member(X0,X1,X3) | X2 != X3 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_539]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_531,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(X0,c_Set_Oinsert(X0,X1,X2))
% 2.66/2.91      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2889_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5608,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(X0,c_Set_Oinsert(X0,X1,X2))
% 2.66/2.91      | ~ c_Finite__Set_Ofinite(X0,X2) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_531]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_527,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Finite__Set_Ocard(X0,X1)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2891_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5600,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Finite__Set_Ocard(X0,X1)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_527]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_524,plain,
% 2.66/2.91      ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2892_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5594,plain,
% 2.66/2.91      ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_524]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5595,plain,
% 2.66/2.91      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5594]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_521,plain,
% 2.66/2.91      ( c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2893_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5588,plain,
% 2.66/2.91      ( c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_521]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5589,plain,
% 2.66/2.91      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | c_SetInterval_Oord__class_OatLeastAtMost(X0,X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5588]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_518,plain,
% 2.66/2.91      ( c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2894_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5582,plain,
% 2.66/2.91      ( c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_518]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5583,plain,
% 2.66/2.91      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5582]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_515,plain,
% 2.66/2.91      ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2895_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5576,plain,
% 2.66/2.91      ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | ~ class_Orderings_Oorder(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_515]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5577,plain,
% 2.66/2.91      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5576]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_513,plain,
% 2.66/2.91      ( c_Set_Oinsert(X0,X1,X2) = X2 | ~ c_member(X0,X1,X2) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2896_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5572,plain,
% 2.66/2.91      ( c_Set_Oinsert(X0,X1,X2) = X2 | ~ c_member(X0,X1,X2) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_513]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5573,plain,
% 2.66/2.91      ( ~ c_member(X0,X1,X2) | c_Set_Oinsert(X0,X1,X2) = X2 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5572]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_498,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.91      | X0 = X1
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2902_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5542,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.91      | X0 = X1
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_498]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5543,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.91      | X0 = X1 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5542]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_496,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.91      | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2903_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5538,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.91      | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_496]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_494,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk15_2(X0,X1),X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2904_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5534,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk15_2(X0,X1),X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_494]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5535,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk15_2(X0,X1),X1)
% 2.66/2.91      | c_Finite__Set_Ofinite(tc_Nat_Onat,X0) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5534]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_492,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk13_2(X0,X1),X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2905_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5530,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk13_2(X0,X1),X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_492]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_482,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2910_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5510,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_482]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_479,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Finite__Set_Ocard(X0,X1))
% 2.66/2.91      | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))
% 2.66/2.91      | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2912_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5504,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Finite__Set_Ocard(X0,X1))
% 2.66/2.91      | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))
% 2.66/2.91      | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_479]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5505,plain,
% 2.66/2.91      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Finite__Set_Ocard(X0,X1))
% 2.66/2.91      | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5504]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_468,plain,
% 2.66/2.91      ( ~ c_member(X0,X1,X2)
% 2.66/2.91      | X2 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2917_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5482,plain,
% 2.66/2.91      ( ~ c_member(X0,X1,X2)
% 2.66/2.91      | X2 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_468]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_466,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.91      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2918_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5478,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.91      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_466]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_464,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2919_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5474,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X1)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_464]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_447,plain,
% 2.66/2.91      ( X0 = X1 | hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2930_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5440,plain,
% 2.66/2.91      ( X0 = X1 | hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_447]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5441,plain,
% 2.66/2.91      ( hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) | X0 = X1 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5440]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_445,plain,
% 2.66/2.91      ( hAPP(hAPP(X0,X1),X1) = X1
% 2.66/2.91      | ~ c_Finite__Set_Ofolding__one__idem(X2,X0,X3) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2931_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5436,plain,
% 2.66/2.91      ( hAPP(hAPP(X0,X1),X1) = X1
% 2.66/2.91      | ~ c_Finite__Set_Ofolding__one__idem(X2,X0,X3) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_445]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5437,plain,
% 2.66/2.91      ( ~ c_Finite__Set_Ofolding__one__idem(X0,X1,X2)
% 2.66/2.91      | hAPP(hAPP(X1,X3),X3) = X3 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5436]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_443,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.91      | X1 != X2 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2932_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5432,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.91      | X1 != X2 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_443]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_436,plain,
% 2.66/2.91      ( c_Finite__Set_Ocard(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | c_member(X0,sk1_esk42_2(X1,X0),X1)
% 2.66/2.91      | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2934_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5418,plain,
% 2.66/2.91      ( c_Finite__Set_Ocard(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | c_member(X0,sk1_esk42_2(X1,X0),X1)
% 2.66/2.91      | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_436]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5419,plain,
% 2.66/2.91      ( ~ c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.91      | c_member(X0,sk1_esk42_2(X1,X0),X1)
% 2.66/2.91      | c_Finite__Set_Ocard(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5418]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_405,plain,
% 2.66/2.91      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.91      | X1 = X2
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2944_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5356,plain,
% 2.66/2.91      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.91      | X1 = X2
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_405]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5357,plain,
% 2.66/2.91      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.66/2.91      | X1 = X2 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5356]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_402,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.66/2.91      | X2 = X1
% 2.66/2.91      | ~ class_Orderings_Olinorder(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2944_3) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5350,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.66/2.91      | X2 = X1
% 2.66/2.91      | ~ class_Orderings_Olinorder(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_402]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5351,plain,
% 2.66/2.91      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.66/2.91      | X2 = X1 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5350]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_390,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.66/2.91      | ~ class_Orderings_Olinorder(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2948_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5326,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
% 2.66/2.91      | ~ class_Orderings_Olinorder(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_390]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5327,plain,
% 2.66/2.91      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5326]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_381,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.66/2.91      | ~ class_Orderings_Olinorder(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2951_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5308,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 2.66/2.91      | ~ class_Orderings_Olinorder(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_381]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5309,plain,
% 2.66/2.91      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5308]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_379,plain,
% 2.66/2.91      ( hBOOL(hAPP(X0,X1)) | ~ c_member(X2,X1,X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2952_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5304,plain,
% 2.66/2.91      ( hBOOL(hAPP(X0,X1)) | ~ c_member(X2,X1,X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_379]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_377,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1)
% 2.66/2.91      | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2955_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5300,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1)
% 2.66/2.91      | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_377]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5301,plain,
% 2.66/2.91      ( ~ class_Rings_Ocomm__semiring__1(X0)
% 2.66/2.91      | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5300]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_369,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.91      | ~ class_Rings_Olinordered__semidom(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2959_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5284,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.91      | ~ class_Rings_Olinordered__semidom(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_369]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5285,plain,
% 2.66/2.91      ( ~ class_Rings_Olinordered__semidom(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0)) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5284]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_367,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.91      | ~ class_Rings_Olinordered__semidom(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2960_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5280,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 2.66/2.91      | ~ class_Rings_Olinordered__semidom(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_367]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5281,plain,
% 2.66/2.91      ( ~ class_Rings_Olinordered__semidom(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0)) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5280]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_365,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)
% 2.66/2.91      | X0 != X2 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2961_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5276,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)
% 2.66/2.91      | X0 != X2 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_365]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_363,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)
% 2.66/2.91      | X1 != X2 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2962_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5272,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)
% 2.66/2.91      | X1 != X2 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_363]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_361,plain,
% 2.66/2.91      ( c_member(X0,sk1_esk17_2(X1,X0),X1)
% 2.66/2.91      | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2963_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5268,plain,
% 2.66/2.91      ( c_member(X0,sk1_esk17_2(X1,X0),X1)
% 2.66/2.91      | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_361]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_359,plain,
% 2.66/2.91      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.91      | c_member(X1,sk1_esk16_2(X0,X1),X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2964_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5264,plain,
% 2.66/2.91      ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
% 2.66/2.91      | c_member(X1,sk1_esk16_2(X0,X1),X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_359]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5265,plain,
% 2.66/2.91      ( c_member(X0,sk1_esk16_2(X1,X0),X1)
% 2.66/2.91      | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5264]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_353,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 2.66/2.91      | X1 = X0 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2966_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5252,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 2.66/2.91      | X1 = X0 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_353]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_351,plain,
% 2.66/2.91      ( hAPP(c_Nat_OSuc,sk1_esk22_1(X0)) = X0
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2967_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5248,plain,
% 2.66/2.91      ( hAPP(c_Nat_OSuc,sk1_esk22_1(X0)) = X0
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_351]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5249,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 2.66/2.91      | hAPP(c_Nat_OSuc,sk1_esk22_1(X0)) = X0 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5248]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_349,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2969_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5244,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_349]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_341,plain,
% 2.66/2.91      ( c_member(X0,X1,X2) | ~ hBOOL(hAPP(X2,X1)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2974_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5228,plain,
% 2.66/2.91      ( c_member(X0,X1,X2) | ~ hBOOL(hAPP(X2,X1)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_341]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5229,plain,
% 2.66/2.91      ( ~ hBOOL(hAPP(X0,X1)) | c_member(X2,X1,X0) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5228]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_324,plain,
% 2.66/2.91      ( X0 = X1 | ~ c_member(X2,X0,c_fequal(X1)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2980_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5194,plain,
% 2.66/2.91      ( X0 = X1 | ~ c_member(X2,X0,c_fequal(X1)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_324]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5195,plain,
% 2.66/2.91      ( ~ c_member(X0,X1,c_fequal(X2)) | X1 = X2 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5194]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_322,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.91      | X0 != hAPP(c_Nat_OSuc,X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2981_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5190,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.91      | X0 != hAPP(c_Nat_OSuc,X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_322]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_319,plain,
% 2.66/2.91      ( X0 != X1
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
% 2.66/2.91      | ~ class_Orderings_Oorder(X2) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2982_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5184,plain,
% 2.66/2.91      ( X0 != X1
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
% 2.66/2.91      | ~ class_Orderings_Oorder(X2) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_319]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5185,plain,
% 2.66/2.91      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | X2 != X1 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5184]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_310,plain,
% 2.66/2.91      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | X1 != X2 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2985_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5166,plain,
% 2.66/2.91      ( ~ class_Orderings_Oorder(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | X1 != X2 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_310]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_304,plain,
% 2.66/2.91      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.91      | X1 != X2
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2987_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5154,plain,
% 2.66/2.91      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.91      | X1 != X2
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_304]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5155,plain,
% 2.66/2.91      ( ~ class_Orderings_Olinorder(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 2.66/2.91      | X1 != X2 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5154]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_299,plain,
% 2.66/2.91      ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2989_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5144,plain,
% 2.66/2.91      ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_299]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5145,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 2.66/2.91      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5144]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_297,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(X0,X1,X1)
% 2.66/2.91      | ~ class_Orderings_Opreorder(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2990_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5140,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(X0,X1,X1)
% 2.66/2.91      | ~ class_Orderings_Opreorder(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_297]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5141,plain,
% 2.66/2.91      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(X0,X1,X1) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5140]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_295,plain,
% 2.66/2.91      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2991_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5136,plain,
% 2.66/2.91      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_295]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5137,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.66/2.91      | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5136]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_293,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
% 2.66/2.91      | c_member(tc_Nat_Onat,sk1_esk15_2(X0,X1),X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2993_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5132,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
% 2.66/2.91      | c_member(tc_Nat_Onat,sk1_esk15_2(X0,X1),X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_293]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_291,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
% 2.66/2.91      | c_member(tc_Nat_Onat,sk1_esk13_2(X0,X1),X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2994_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5128,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
% 2.66/2.91      | c_member(tc_Nat_Onat,sk1_esk13_2(X0,X1),X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_291]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_289,plain,
% 2.66/2.91      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2995_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5124,plain,
% 2.66/2.91      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_289]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5125,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5124]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_287,plain,
% 2.66/2.91      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2996_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5120,plain,
% 2.66/2.91      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_287]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5121,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5120]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_285,plain,
% 2.66/2.91      ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2997_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5116,plain,
% 2.66/2.91      ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_285]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5117,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 2.66/2.91      | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5116]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_283,plain,
% 2.66/2.91      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != X1 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2998_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5112,plain,
% 2.66/2.91      ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != X1 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_283]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5113,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != X0
% 2.66/2.91      | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5112]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_273,plain,
% 2.66/2.91      ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3006_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5092,plain,
% 2.66/2.91      ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_273]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5093,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5092]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_271,plain,
% 2.66/2.91      ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3007_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5088,plain,
% 2.66/2.91      ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_271]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5089,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) | X1 != X0 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5088]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_269,plain,
% 2.66/2.91      ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,X1)),X2) = c_Orderings_Obot__class_Obot(X1)
% 2.66/2.91      | ~ class_Orderings_Obot(X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3011_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5084,plain,
% 2.66/2.91      ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,X1)),X2) = c_Orderings_Obot__class_Obot(X1)
% 2.66/2.91      | ~ class_Orderings_Obot(X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_269]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5085,plain,
% 2.66/2.91      ( ~ class_Orderings_Obot(X0)
% 2.66/2.91      | hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,X0)),X2) = c_Orderings_Obot__class_Obot(X0) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5084]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_267,plain,
% 2.66/2.91      ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,X1)),X2) = c_Orderings_Otop__class_Otop(X1)
% 2.66/2.91      | ~ class_Orderings_Otop(X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3012_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5080,plain,
% 2.66/2.91      ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,X1)),X2) = c_Orderings_Otop__class_Otop(X1)
% 2.66/2.91      | ~ class_Orderings_Otop(X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_267]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5081,plain,
% 2.66/2.91      ( ~ class_Orderings_Otop(X0)
% 2.66/2.91      | hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,X0)),X2) = c_Orderings_Otop__class_Otop(X0) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5080]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_265,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.91      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3013_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5076,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.91      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_265]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_253,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.91      | X2 != X1 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3019_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5052,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.91      | X2 != X1 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_253]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_251,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.91      | X1 != X2 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3020_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5048,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
% 2.66/2.91      | X1 != X2 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_251]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_249,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.91      | X0 != X1 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3022_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5044,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X1))
% 2.66/2.91      | X0 != X1 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_249]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_247,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 2.66/2.91      | X0 != hAPP(c_Nat_OSuc,X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3024_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5040,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 2.66/2.91      | X0 != hAPP(c_Nat_OSuc,X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_247]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_242,plain,
% 2.66/2.91      ( c_member(X0,c_Groups_Oone__class_Oone(X0),c_Int_Oring__1__class_OInts(X0))
% 2.66/2.91      | ~ class_Rings_Oring__1(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3028_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5030,plain,
% 2.66/2.91      ( c_member(X0,c_Groups_Oone__class_Oone(X0),c_Int_Oring__1__class_OInts(X0))
% 2.66/2.91      | ~ class_Rings_Oring__1(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_242]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_240,plain,
% 2.66/2.91      ( c_member(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Oring__1__class_OInts(X0))
% 2.66/2.91      | ~ class_Rings_Oring__1(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3029_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5026,plain,
% 2.66/2.91      ( c_member(X0,c_Groups_Ozero__class_Ozero(X0),c_Int_Oring__1__class_OInts(X0))
% 2.66/2.91      | ~ class_Rings_Oring__1(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_240]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_238,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 2.66/2.91      | ~ class_Rings_Olinordered__semidom(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3030_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5022,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 2.66/2.91      | ~ class_Rings_Olinordered__semidom(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_238]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5023,plain,
% 2.66/2.91      ( ~ class_Rings_Olinordered__semidom(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5022]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_236,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 2.66/2.91      | ~ class_Rings_Olinordered__semidom(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3031_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5018,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 2.66/2.91      | ~ class_Rings_Olinordered__semidom(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_236]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5019,plain,
% 2.66/2.91      ( ~ class_Rings_Olinordered__semidom(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5018]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_228,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3034_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5002,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_228]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5003,plain,
% 2.66/2.91      ( ~ class_Finite__Set_Ofinite(X0)
% 2.66/2.91      | c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_5002]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_223,plain,
% 2.66/2.91      ( X0 = X1 | ~ hBOOL(hAPP(c_fequal(X0),X1)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3036_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4992,plain,
% 2.66/2.91      ( X0 = X1 | ~ hBOOL(hAPP(c_fequal(X0),X1)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_223]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4993,plain,
% 2.66/2.91      ( ~ hBOOL(hAPP(c_fequal(X0),X1)) | X0 = X1 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_4992]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_221,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 2.66/2.91      | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3037_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4988,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 2.66/2.91      | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_221]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4989,plain,
% 2.66/2.91      ( ~ class_Rings_Ocomm__semiring__1(X0)
% 2.66/2.91      | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_4988]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_219,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 2.66/2.91      | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3038_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4984,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 2.66/2.91      | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_219]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4985,plain,
% 2.66/2.91      ( ~ class_Rings_Ocomm__semiring__1(X0)
% 2.66/2.91      | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_4984]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_217,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 2.66/2.91      | ~ class_Groups_Omonoid__add(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3039_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4980,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 2.66/2.91      | ~ class_Groups_Omonoid__add(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_217]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4981,plain,
% 2.66/2.91      ( ~ class_Groups_Omonoid__add(X0)
% 2.66/2.91      | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_4980]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_215,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 2.66/2.91      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3040_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4976,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 2.66/2.91      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_215]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4977,plain,
% 2.66/2.91      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.66/2.91      | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_4976]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_213,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 2.66/2.91      | ~ class_Groups_Omonoid__add(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3041_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4972,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 2.66/2.91      | ~ class_Groups_Omonoid__add(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_213]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4973,plain,
% 2.66/2.91      ( ~ class_Groups_Omonoid__add(X0)
% 2.66/2.91      | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_4972]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_211,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 2.66/2.91      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3042_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4968,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 2.66/2.91      | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_211]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4969,plain,
% 2.66/2.91      ( ~ class_Groups_Ocomm__monoid__add(X0)
% 2.66/2.91      | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_4968]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_209,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Orderings_Otop__class_Otop(X0))
% 2.66/2.91      | ~ class_Orderings_Otop(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3046_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4964,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,c_Orderings_Otop__class_Otop(X0))
% 2.66/2.91      | ~ class_Orderings_Otop(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_209]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4965,plain,
% 2.66/2.91      ( ~ class_Orderings_Otop(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X1,c_Orderings_Otop__class_Otop(X0)) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_4964]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_207,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,c_Orderings_Obot__class_Obot(X0),X1)
% 2.66/2.91      | ~ class_Orderings_Obot(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3047_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4960,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,c_Orderings_Obot__class_Obot(X0),X1)
% 2.66/2.91      | ~ class_Orderings_Obot(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_207]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4961,plain,
% 2.66/2.91      ( ~ class_Orderings_Obot(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,c_Orderings_Obot__class_Obot(X0),X1) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_4960]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_204,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3048_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4954,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_204]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_201,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | X1 != X2
% 2.66/2.91      | ~ class_Orderings_Opreorder(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3051_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4948,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | X1 != X2
% 2.66/2.91      | ~ class_Orderings_Opreorder(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_201]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4949,plain,
% 2.66/2.91      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
% 2.66/2.91      | X1 != X2 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_4948]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_190,plain,
% 2.66/2.91      ( c_member(X0,X1,c_fequal(X2)) | X1 != X2 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3055_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4926,plain,
% 2.66/2.91      ( c_member(X0,X1,c_fequal(X2)) | X1 != X2 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_190]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_188,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.66/2.91      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3056_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4922,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 2.66/2.91      | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_188]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_186,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X1)
% 2.66/2.91      | ~ class_Orderings_Opreorder(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3057_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4918,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(X0,X1,X1)
% 2.66/2.91      | ~ class_Orderings_Opreorder(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_186]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4919,plain,
% 2.66/2.91      ( ~ class_Orderings_Opreorder(X0)
% 2.66/2.91      | c_Orderings_Oord__class_Oless__eq(X0,X1,X1) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_4918]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_184,plain,
% 2.66/2.91      ( c_Finite__Set_Ocard(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | X1 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3058_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4914,plain,
% 2.66/2.91      ( c_Finite__Set_Ocard(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | X1 != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_184]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_180,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 2.66/2.91      | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3061_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4906,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 2.66/2.91      | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_180]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_174,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3067_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4894,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_174]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_166,plain,
% 2.66/2.91      ( hBOOL(hAPP(c_fequal(X0),X1)) | X0 != X1 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3073_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4878,plain,
% 2.66/2.91      ( hBOOL(hAPP(c_fequal(X0),X1)) | X0 != X1 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_166]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_163,plain,
% 2.66/2.91      ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X1)
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3074_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4872,plain,
% 2.66/2.91      ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X1)
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_163]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_160,plain,
% 2.66/2.91      ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X1)
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3075_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4866,plain,
% 2.66/2.91      ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X1)
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_160]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_157,plain,
% 2.66/2.91      ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X1)
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3076_2) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4860,plain,
% 2.66/2.91      ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X1)
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_157]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_153,plain,
% 2.66/2.91      ( X0 = X1 | hAPP(c_Nat_OSuc,X0) != hAPP(c_Nat_OSuc,X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3078_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4852,plain,
% 2.66/2.91      ( X0 = X1 | hAPP(c_Nat_OSuc,X0) != hAPP(c_Nat_OSuc,X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_153]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4853,plain,
% 2.66/2.91      ( hAPP(c_Nat_OSuc,X0) != hAPP(c_Nat_OSuc,X1) | X0 = X1 ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_4852]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_148,plain,
% 2.66/2.91      ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3080_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4842,plain,
% 2.66/2.91      ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_148]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_146,plain,
% 2.66/2.91      ( class_Orderings_Oord(tc_fun(X0,X1)) | ~ class_Orderings_Oord(X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3081_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4838,plain,
% 2.66/2.91      ( class_Orderings_Oord(tc_fun(X0,X1)) | ~ class_Orderings_Oord(X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_146]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_144,plain,
% 2.66/2.91      ( class_Orderings_Otop(tc_fun(X0,X1)) | ~ class_Orderings_Otop(X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3082_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4834,plain,
% 2.66/2.91      ( class_Orderings_Otop(tc_fun(X0,X1)) | ~ class_Orderings_Otop(X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_144]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_142,plain,
% 2.66/2.91      ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3083_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4830,plain,
% 2.66/2.91      ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_142]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_140,plain,
% 2.66/2.91      ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 2.66/2.91      | ~ class_Orderings_Opreorder(X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3084_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4826,plain,
% 2.66/2.91      ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 2.66/2.91      | ~ class_Orderings_Opreorder(X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_140]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_136,plain,
% 2.66/2.91      ( c_Finite__Set_Ocard(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | c_Finite__Set_Ofinite(X0,X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3086_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4818,plain,
% 2.66/2.91      ( c_Finite__Set_Ocard(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 2.66/2.91      | c_Finite__Set_Ofinite(X0,X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_136]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4819,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(X0,X1)
% 2.66/2.91      | c_Finite__Set_Ocard(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_4818]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_134,plain,
% 2.66/2.91      ( hAPP(c_Nat_OSuc,X0) = hAPP(c_Nat_OSuc,X1) | X0 != X1 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3087_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4814,plain,
% 2.66/2.91      ( hAPP(c_Nat_OSuc,X0) = hAPP(c_Nat_OSuc,X1) | X0 != X1 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_134]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_130,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(X0,X1) | ~ class_Finite__Set_Ofinite(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3095_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4806,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(X0,X1) | ~ class_Finite__Set_Ofinite(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_130]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4807,plain,
% 2.66/2.91      ( ~ class_Finite__Set_Ofinite(X0) | c_Finite__Set_Ofinite(X0,X1) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_4806]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_114,plain,
% 2.66/2.91      ( c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0)
% 2.66/2.91      | ~ class_Rings_Ozero__neq__one(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3103_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4774,plain,
% 2.66/2.91      ( c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0)
% 2.66/2.91      | ~ class_Rings_Ozero__neq__one(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_114]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4775,plain,
% 2.66/2.91      ( ~ class_Rings_Ozero__neq__one(X0)
% 2.66/2.91      | c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0) ),
% 2.66/2.91      inference(rewriting,[status(thm)],[c_4774]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_112,plain,
% 2.66/2.91      ( class_Finite__Set_Ofinite(tc_Option_Ooption(X0))
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3106_1) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4770,plain,
% 2.66/2.91      ( class_Finite__Set_Ofinite(tc_Option_Ooption(X0))
% 2.66/2.91      | ~ class_Finite__Set_Ofinite(X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_112]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_111,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2706_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4768,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_111]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_110,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2707_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4766,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_110]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_109,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2759_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4764,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X0,tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_109]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_107,plain,
% 2.66/2.91      ( ~ c_member(X0,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2830_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4760,plain,
% 2.66/2.91      ( ~ c_member(X0,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_107]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_106,plain,
% 2.66/2.91      ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != c_Set_Oinsert(X0,X1,X2) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2928_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4758,plain,
% 2.66/2.91      ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != c_Set_Oinsert(X0,X1,X2) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_106]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_105,plain,
% 2.66/2.91      ( c_Set_Oinsert(X0,X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2929_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4756,plain,
% 2.66/2.91      ( c_Set_Oinsert(X0,X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_105]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_104,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2937_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4754,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_104]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_103,plain,
% 2.66/2.91      ( ~ c_Finite__Set_Ofinite(tc_Nat_Onat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2992_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4752,plain,
% 2.66/2.91      ( ~ c_Finite__Set_Ofinite(tc_Nat_Onat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_103]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_100,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3001_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4746,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_100]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_99,plain,
% 2.66/2.91      ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3008_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4744,plain,
% 2.66/2.91      ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_99]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_97,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3010_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4740,plain,
% 2.66/2.91      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_97]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_91,plain,
% 2.66/2.91      ( hAPP(c_Nat_OSuc,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3093_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4728,plain,
% 2.66/2.91      ( hAPP(c_Nat_OSuc,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_91]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_89,plain,
% 2.66/2.91      ( hAPP(c_Nat_OSuc,X0) != X0 ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3097_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4724,plain,
% 2.66/2.91      ( hAPP(c_Nat_OSuc,X0) != X0 ),
% 2.66/2.91      inference(copy,[status(esa)],[c_89]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_88,plain,
% 2.66/2.91      ( ~ hBOOL(c_fFalse) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3112_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4722,plain,
% 2.66/2.91      ( ~ hBOOL(c_fFalse) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_88]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_86,plain,
% 2.66/2.91      ( c_member(X0,hAPP(X1,X2),c_Set_Oimage(X3,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2475_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4719,plain,
% 2.66/2.91      ( c_member(X0,hAPP(X1,X2),c_Set_Oimage(X3,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_86]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_81,plain,
% 2.66/2.91      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,X3)) = c_Set_Oinsert(X0,X2,c_Set_Oinsert(X0,X1,X3)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2630_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4713,plain,
% 2.66/2.91      ( c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X2,X3)) = c_Set_Oinsert(X0,X2,c_Set_Oinsert(X0,X1,X3)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_81]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_79,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2642_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4710,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_79]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_77,plain,
% 2.66/2.91      ( c_Fun_Oinj__on(X0,X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2659_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4707,plain,
% 2.66/2.91      ( c_Fun_Oinj__on(X0,X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_77]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_76,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2670_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4705,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_76]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_75,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2671_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4703,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_75]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_74,plain,
% 2.66/2.91      ( c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2714_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4701,plain,
% 2.66/2.91      ( c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_74]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_69,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oinsert(X0,X2,X1)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2779_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4695,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oinsert(X0,X2,X1)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_69]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_67,plain,
% 2.66/2.91      ( c_member(X0,X1,c_Set_Oinsert(X0,X1,X2)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2840_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4692,plain,
% 2.66/2.91      ( c_member(X0,X1,c_Set_Oinsert(X0,X1,X2)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_67]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_66,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2852_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4690,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_66]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_65,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2853_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4688,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_65]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_62,plain,
% 2.66/2.91      ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X1)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2911_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4684,plain,
% 2.66/2.91      ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X1)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_62]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_61,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2920_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4682,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_61]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_60,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)),X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2921_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4680,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)),X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_60]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_58,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(tc_Nat_Onat,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X0,X1)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2953_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4677,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(tc_Nat_Onat,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X0,X1)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_58]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_57,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(tc_Nat_Onat,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X0,X1)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2954_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4675,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(tc_Nat_Onat,c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X0,X1)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_57]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_54,plain,
% 2.66/2.91      ( c_member(X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2970_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4670,plain,
% 2.66/2.91      ( c_member(X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_54]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_53,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_2971_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4668,plain,
% 2.66/2.91      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_53]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_51,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3023_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4665,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_51]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_50,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X1) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3025_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4663,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X1) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_50]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_49,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X0)) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3027_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4661,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Nat_OSuc,X0)) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_49]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_44,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(X0,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3050_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4654,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(X0,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_44]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_42,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3062_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4651,plain,
% 2.66/2.91      ( c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_42]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_38,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3069_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4645,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_38]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_37,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3071_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4643,plain,
% 2.66/2.91      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_37]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_29,plain,
% 2.66/2.91      ( hBOOL(c_fTrue) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3113_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4634,plain,( hBOOL(c_fTrue) ),inference(copy,[status(esa)],[c_29]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_28,plain,
% 2.66/2.91      ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3114_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4632,plain,
% 2.66/2.91      ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_28]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_27,plain,
% 2.66/2.91      ( class_Orderings_Obot(tc_HOL_Obool) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3115_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4630,plain,
% 2.66/2.91      ( class_Orderings_Obot(tc_HOL_Obool) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_27]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_26,plain,
% 2.66/2.91      ( class_Orderings_Oord(tc_HOL_Obool) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3116_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4628,plain,
% 2.66/2.91      ( class_Orderings_Oord(tc_HOL_Obool) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_26]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_25,plain,
% 2.66/2.91      ( class_Orderings_Otop(tc_HOL_Obool) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3117_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4626,plain,
% 2.66/2.91      ( class_Orderings_Otop(tc_HOL_Obool) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_25]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_24,plain,
% 2.66/2.91      ( class_Orderings_Oorder(tc_HOL_Obool) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3118_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4624,plain,
% 2.66/2.91      ( class_Orderings_Oorder(tc_HOL_Obool) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_24]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_23,plain,
% 2.66/2.91      ( class_Finite__Set_Ofinite(tc_HOL_Obool) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3119_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4622,plain,
% 2.66/2.91      ( class_Finite__Set_Ofinite(tc_HOL_Obool) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_23]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_22,plain,
% 2.66/2.91      ( class_Orderings_Opreorder(tc_HOL_Obool) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3120_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4620,plain,
% 2.66/2.91      ( class_Orderings_Opreorder(tc_HOL_Obool) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_22]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_21,plain,
% 2.66/2.91      ( class_Groups_Oone(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3121_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4618,plain,
% 2.66/2.91      ( class_Groups_Oone(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_21]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_20,plain,
% 2.66/2.91      ( class_Groups_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3122_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4616,plain,
% 2.66/2.91      ( class_Groups_Ozero(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_20]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_19,plain,
% 2.66/2.91      ( class_Orderings_Obot(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3123_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4614,plain,
% 2.66/2.91      ( class_Orderings_Obot(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_19]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_18,plain,
% 2.66/2.91      ( class_Orderings_Oord(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3124_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4612,plain,
% 2.66/2.91      ( class_Orderings_Oord(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_18]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_17,plain,
% 2.66/2.91      ( class_Orderings_Oorder(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3125_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4610,plain,
% 2.66/2.91      ( class_Orderings_Oorder(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_17]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_16,plain,
% 2.66/2.91      ( class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3126_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4608,plain,
% 2.66/2.91      ( class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_16]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_15,plain,
% 2.66/2.91      ( class_Orderings_Olinorder(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3127_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4606,plain,
% 2.66/2.91      ( class_Orderings_Olinorder(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_15]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_14,plain,
% 2.66/2.91      ( class_Orderings_Opreorder(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3128_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4604,plain,
% 2.66/2.91      ( class_Orderings_Opreorder(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_14]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_13,plain,
% 2.66/2.91      ( class_Rings_Ozero__neq__one(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3129_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4602,plain,
% 2.66/2.91      ( class_Rings_Ozero__neq__one(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_13]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_12,plain,
% 2.66/2.91      ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3130_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4600,plain,
% 2.66/2.91      ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_12]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_11,plain,
% 2.66/2.91      ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3131_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4598,plain,
% 2.66/2.91      ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_11]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_10,plain,
% 2.66/2.91      ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3132_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4596,plain,
% 2.66/2.91      ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_10]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_9,plain,
% 2.66/2.91      ( class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3133_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4594,plain,
% 2.66/2.91      ( class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_9]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_8,plain,
% 2.66/2.91      ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3134_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4592,plain,
% 2.66/2.91      ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_8]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_7,plain,
% 2.66/2.91      ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3135_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4590,plain,
% 2.66/2.91      ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_7]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_6,plain,
% 2.66/2.91      ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3136_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4588,plain,
% 2.66/2.91      ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_6]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_5,plain,
% 2.66/2.91      ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3137_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4586,plain,
% 2.66/2.91      ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_5]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4,plain,
% 2.66/2.91      ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3138_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4584,plain,
% 2.66/2.91      ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_4]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_3,plain,
% 2.66/2.91      ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3139_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4582,plain,
% 2.66/2.91      ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_3]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_2,plain,
% 2.66/2.91      ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3140_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4580,plain,
% 2.66/2.91      ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_2]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_1,plain,
% 2.66/2.91      ( c_Arrow__Order__Mirabelle_Ounanimity(v_F) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3141_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4578,plain,
% 2.66/2.91      ( c_Arrow__Order__Mirabelle_Ounanimity(v_F) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_1]) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_0,plain,
% 2.66/2.91      ( c_Arrow__Order__Mirabelle_OIIA(v_F) ),
% 2.66/2.91      file('/export/starexec/sandbox/tmp/iprover_modulo_1f4ecd.p', c_0_3142_0) ).
% 2.66/2.91  
% 2.66/2.91  cnf(c_4576,plain,
% 2.66/2.91      ( c_Arrow__Order__Mirabelle_OIIA(v_F) ),
% 2.66/2.91      inference(copy,[status(esa)],[c_0]) ).
% 2.66/2.91  
% 2.66/2.91  
% 2.66/2.91  
% 2.66/2.91  % ------                             Statistics
% 2.66/2.91  
% 2.66/2.91  % ------ General
% 2.66/2.91  
% 2.66/2.91  % num_of_input_clauses:                 2046
% 2.66/2.91  % num_of_input_neg_conjectures:         1
% 2.66/2.91  % num_of_splits:                        0
% 2.66/2.91  % num_of_split_atoms:                   0
% 2.66/2.91  % num_of_sem_filtered_clauses:          0
% 2.66/2.91  % num_of_subtypes:                      0
% 2.66/2.91  % monotx_restored_types:                0
% 2.66/2.91  % sat_num_of_epr_types:                 0
% 2.66/2.91  % sat_num_of_non_cyclic_types:          0
% 2.66/2.91  % sat_guarded_non_collapsed_types:      0
% 2.66/2.91  % is_epr:                               0
% 2.66/2.91  % is_horn:                              0
% 2.66/2.91  % has_eq:                               1
% 2.66/2.91  % num_pure_diseq_elim:                  0
% 2.66/2.91  % simp_replaced_by:                     0
% 2.66/2.91  % res_preprocessed:                     3
% 2.66/2.91  % prep_upred:                           0
% 2.66/2.91  % prep_unflattend:                      0
% 2.66/2.91  % pred_elim_cands:                      1
% 2.66/2.91  % pred_elim:                            1
% 2.66/2.91  % pred_elim_cl:                         1
% 2.66/2.91  % pred_elim_cycles:                     2
% 2.66/2.91  % forced_gc_time:                       0
% 2.66/2.91  % gc_basic_clause_elim:                 0
% 2.66/2.91  % parsing_time:                         0.114
% 2.66/2.91  % sem_filter_time:                      0.
% 2.66/2.91  % pred_elim_time:                       0.
% 2.66/2.91  % out_proof_time:                       0.
% 2.66/2.91  % monotx_time:                          0.
% 2.66/2.91  % subtype_inf_time:                     0.
% 2.66/2.91  % unif_index_cands_time:                0.
% 2.66/2.91  % unif_index_add_time:                  0.001
% 2.66/2.91  % total_time:                           2.19
% 2.66/2.91  % num_of_symbols:                       149
% 2.66/2.91  % num_of_terms:                         3736
% 2.66/2.91  
% 2.66/2.91  % ------ Propositional Solver
% 2.66/2.91  
% 2.66/2.91  % prop_solver_calls:                    1
% 2.66/2.91  % prop_fast_solver_calls:               10
% 2.66/2.91  % prop_num_of_clauses:                  1533
% 2.66/2.91  % prop_preprocess_simplified:           6587
% 2.66/2.91  % prop_fo_subsumed:                     1
% 2.66/2.91  % prop_solver_time:                     0.
% 2.66/2.91  % prop_fast_solver_time:                0.
% 2.66/2.91  % prop_unsat_core_time:                 0.
% 2.66/2.91  
% 2.66/2.91  % ------ QBF 
% 2.66/2.91  
% 2.66/2.91  % qbf_q_res:                            0
% 2.66/2.91  % qbf_num_tautologies:                  0
% 2.66/2.91  % qbf_prep_cycles:                      0
% 2.66/2.91  
% 2.66/2.91  % ------ BMC1
% 2.66/2.91  
% 2.66/2.91  % bmc1_current_bound:                   -1
% 2.66/2.91  % bmc1_last_solved_bound:               -1
% 2.66/2.91  % bmc1_unsat_core_size:                 -1
% 2.66/2.91  % bmc1_unsat_core_parents_size:         -1
% 2.66/2.91  % bmc1_merge_next_fun:                  0
% 2.66/2.91  % bmc1_unsat_core_clauses_time:         0.
% 2.66/2.91  
% 2.66/2.91  % ------ Instantiation
% 2.66/2.91  
% 2.66/2.91  % inst_num_of_clauses:                  1768
% 2.66/2.91  % inst_num_in_passive:                  0
% 2.66/2.91  % inst_num_in_active:                   0
% 2.66/2.91  % inst_num_in_unprocessed:              2045
% 2.66/2.91  % inst_num_of_loops:                    0
% 2.66/2.91  % inst_num_of_learning_restarts:        0
% 2.66/2.91  % inst_num_moves_active_passive:        0
% 2.66/2.91  % inst_lit_activity:                    0
% 2.66/2.91  % inst_lit_activity_moves:              0
% 2.66/2.91  % inst_num_tautologies:                 0
% 2.66/2.91  % inst_num_prop_implied:                0
% 2.66/2.91  % inst_num_existing_simplified:         0
% 2.66/2.91  % inst_num_eq_res_simplified:           0
% 2.66/2.91  % inst_num_child_elim:                  0
% 2.66/2.91  % inst_num_of_dismatching_blockings:    0
% 2.66/2.91  % inst_num_of_non_proper_insts:         0
% 2.66/2.91  % inst_num_of_duplicates:               0
% 2.66/2.91  % inst_inst_num_from_inst_to_res:       0
% 2.66/2.91  % inst_dismatching_checking_time:       0.
% 2.66/2.91  
% 2.66/2.91  % ------ Resolution
% 2.66/2.91  
% 2.66/2.91  % res_num_of_clauses:                   2020
% 2.66/2.91  % res_num_in_passive:                   0
% 2.66/2.91  % res_num_in_active:                    713
% 2.66/2.91  % res_num_of_loops:                     2
% 2.66/2.91  % res_forward_subset_subsumed:          1268
% 2.66/2.91  % res_backward_subset_subsumed:         0
% 2.66/2.91  % res_forward_subsumed:                 0
% 2.66/2.91  % res_backward_subsumed:                0
% 2.66/2.91  % res_forward_subsumption_resolution:   0
% 2.66/2.91  % res_backward_subsumption_resolution:  0
% 2.66/2.91  % res_clause_to_clause_subsumption:     3
% 2.66/2.91  % res_orphan_elimination:               0
% 2.66/2.91  % res_tautology_del:                    34
% 2.66/2.91  % res_num_eq_res_simplified:            0
% 2.66/2.91  % res_num_sel_changes:                  0
% 2.66/2.91  % res_moves_from_active_to_pass:        0
% 2.66/2.91  
% 2.66/2.91  % Status Unknown
% 2.66/2.92  % Last status :
% 2.66/2.92  % SZS status Unknown
%------------------------------------------------------------------------------